diff --git "a/data/dm_maths/full_data_1/1459_11255.jsonl" "b/data/dm_maths/full_data_1/1459_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1459_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 459 minutes before 1:41 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - -0.26. What is the closest to 2\/9 in f, 0, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-five eighths of a micrometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78\/19 - 1961\/38. Let h = 4 - -17. Calculate the common denominator of m and (6\/14)\/(4\/h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggjg. Give prob of sequence gjn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 3.4568786064404?\nAnswer: 5.4568786064404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30040 - -1403?\nAnswer: -24233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**2 + j + 3*j**4 - j wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20731 at least -20732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*a + 653, 10*h - 11*h + 5*a + 196 = 0. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 21*o**2 - 96*o + 50. What is b(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*(-20)\/(-32).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-39)*1*(-1)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0774*427.\nAnswer: -33.0498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -d - 5, -11*y + 6*y - 2*d = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -g, -229 = 102*d - 97*d - 0*g - g - 84 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 41 + 193 = 0. Calculate the remainder when p is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 451. Let s(j) = 2*j. What is s(q(d))?\nAnswer: 2*d - 902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (7 - 15) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 5, 2, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lel. Give prob of picking 1 e and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92957172.\nAnswer: 2, 3, 7, 11, 37, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, o: 1, m: 4}. What is prob of sequence mox?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5298, 10528, 15874, 21330, 26890, 32548, 38298?\n\"Answer: -a**3 + 64*a**2 + 5045*a + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/30 + f**4\/6 - 8*f**3\/3 - 20*f**2. Factor w(s).\nAnswer: 2*(s - 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2733869*v**3 + 7*v**2 - v + 74266619?\nAnswer: 8201607*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-2 + (-2 - -2)). Let d = 4 - k. Let h(l) = 11*l**2 + 3*l - 1. Is h(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 22*j**2 - 70*j - 18. Let p be s(-17). Suppose -3141 = -5*a - 271. Let f = a + p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 647, 973?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2389*t - 26268. What is y(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 - 4. Let f be l(0). Let q(s) = -41*s - 1. Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(350) + sqrt(350) + sqrt(350))*-1)\/(4*(sqrt(112) - (sqrt(112) - sqrt(112)*-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 31 = -t + 3*l, 2*t + 4*l + 2 = 0. Suppose -4*o + 4*u - 4 = -16, u + 23 = 5*o. Let a = t + o. Sort a, 3, 2 in ascending order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -535 + 541. Do n and 120\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**5 + 199*l**4 - 203135*l**3 + 39777122*l**2 - 5*l + 2 wrt l.\nAnswer: -240*l**2 + 4776*l - 1218810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 5. Suppose 2*k - 14 = 4*j, 2*j - 29 = 6*j + k. Let c be a(j). Suppose -c = -r + 12. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1.3. Let u = 1.7 - o. Which is the nearest to u? (a) -4 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 20*s. Let f(v) = v + 1. Let r(p) = 3*p + 2. Let g(i) = -2*f(i) + r(i). Calculate g(b(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:12 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -31. Is 40 a factor of 140 + 1 + (n - -4) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(78))\/sqrt(6).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 o when four letters picked without replacement from {b: 3, r: 7, a: 7, o: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*110\/132*2\/10. What is the biggest value in 0.3, -5, -2\/5, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2 + h - 3. Let z be -2 - (2 - (10 - 4)). Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (56 - 26) + -72?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/572*(-396)\/90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + s + 2. Let k be n(0). Suppose 35 = k*y + j - 0*j, 6 = 2*j. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from fiiififfiiif?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 5:56 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484834 = 433*i + 496958 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9622 + -9629. Let u = -3.08 - -0.08. Sort u, -1\/6, z in decreasing order.\nAnswer: -1\/6, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6126 + 6126. Let f(q) be the first derivative of -18 + 1\/2*q**4 + u*q**3 + 0*q - q**2. Let f(i) = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20807 = 13*m - 5271. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 h, and 2 c when four letters picked without replacement from {d: 1, s: 1, h: 1, m: 2, c: 3, x: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = 3*l - 4*w, 3*w = 9. Which is the nearest to l? (a) 2 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-6)*203\/(-29)*9\/49\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -93732*c + 2530825. Give t(27).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - -26. What is the greatest common factor of 32 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39496153 to the power of 1\/2, to the nearest integer?\nAnswer: 6285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1631, -66, -13, -12 in ascending order.\nAnswer: -66, -13, -12, 5, 1631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 3. Let h be o(-2). Let k(v) = -3*v + 5 - h - 3 + 4 + 4*v**2. Let w be -1*(0 + 0 - -1). Let a(t) = -t**2 + t - 1. Determine w*k(l) - 5*a(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0436 - 5.0436. Which is the closest to 3? (a) p (b) 1\/3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 + 748 = 10*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + (sqrt(704) - (sqrt(704) + 0) - sqrt(704))*1) + -2)**2.\nAnswer: 64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 37\/4, -0.5, 21273, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-546)\/52*(-2 + (-4)\/(-14)). Suppose -s + 5 = 2*x, -4*s + 37 + l = x. Calculate the least common multiple of 18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3588, -3174, -2484, -1518, -276, 1242?\nAnswer: 3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 243*d - 3113. Calculate q(-65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211324927 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -2*z + 15, 0 = 5*z - 20. Suppose -s + 17 = q - 1, 5*q - 22 = -s. Calculate the remainder when s is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 122*a**2 + 2354*a + 130. Determine q(-98).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 - q**2)*(4*q - 4*q + 2*q + (-q + 3*q - q)*(2 - 2 - 2) + 20 - 20 - 5*q - 3*q - q + 5*q).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*u**2*z - 56389*u**2 - 1824217*u + z - 3 wrt u?\nAnswer: 420*z - 112778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/3 - 2467*v**2\/3 - 14854*v\/3 + 39568\/3 = 0. What is v?\nAnswer: -8, 2, 2473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**2 - 14*q - 5. Suppose 0*f + 10 = f. What is the least common multiple of 12 and w(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4612433 centimeters in kilometers?\nAnswer: 0.000004612433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - sqrt(343)*-2 - sqrt(14)\/(sqrt(2)*4).\nAnswer: 59*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -335*b - 8. Let k(h) = -1001*h - 26. Determine 4*k(c) - 13*n(c).\nAnswer: 351*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 8)*(-87*j + 46*j + 39*j + 8*j**5).\nAnswer: 8*j**5 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z, -u - 2*u - 4*z = -2. Suppose -s = u*i - 8, -4*s = 3*i - 4*i - 14. Suppose 2*v + 0 = s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -687 (b) 0 (c) 84 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1089.\nAnswer: -1\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 2 s when four letters picked without replacement from {h: 7, y: 1, s: 3, m: 6}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*n**3 + 4*n**2 - n**3 - 3*n**2 - 4*n**3 + 3*n to the form b*n**3 + w*n + x*n**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -123931a (base 12) in base 7?\nAnswer: -42163303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3091982, -6183961, -9275940, -12367919, -15459898?\n\"Answer: -3091979*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -967882 or -33875908\/35?\nAnswer: -967882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmttmt. What is prob of picking 2 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5384 rounded to 2 dps?\nAnswer: 4.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**(9\/7)*d*d**(1\/25)\/d*(d**(-2\/41)\/d)\/d*d assuming d is positive.\nAnswer: d**(8191\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45954051 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/39, -1\/3, 4, 0.001?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 67 = 66, g = 4*h - 1. Which is the closest to 1? (a) 0.2 (b) g (c) -1\/3 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**8\/112 + 3*u**7\/70 + u**6\/40 - 3*u**5\/20 - u**4\/4 + 8*u**2 - 5. Let i(j) be the second derivative of z(j). Factor i(m).\nAnswer: 3*m*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 0, 2*s + 24 = 3*u + 7*s. Solve -20 = 4*v + u*r, 3*v + 5 + 10 = r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(77)\/(sqrt(11) + sqrt(704) + -2*sqrt(704) - sqrt(11)) - (sqrt(6048)*-2 - sqrt(6048))\/(sqrt(24)*-2))**2.\nAnswer: -219*sqrt(7)\/4 + 37879\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:37 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -11)*(-1 - -2). Solve 0 = 5*a - 2*i + 2 - 1, -2*a = -i + j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 - 2*z + 2. What is the least common multiple of f(2) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19849362.\nAnswer: 2, 3, 13, 31, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3329 - 3326. Which is the fifth smallest value? (a) 0 (b) 0.01 (c) 2\/3 (d) q (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 36*y + 123\/7*y**3 - 1\/7*y**4 + 0 + 376\/7*y**2 = 0?\nAnswer: -2, -1, 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4243, 68 in decreasing order.\nAnswer: 68, 0, -4243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + i = -33391, 2*z - 5*i = 3*z - 6699. Let w(r) be the first derivative of 6679*r**2 + 14*r**3 - z*r**2 + 3 - 23*r. Differentiate w(m) wrt m.\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-37920)\/(-45))\/(2\/(-69375)). What is w rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.682 * 0.5862\nAnswer: 4.5031884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - -3)*4 + (-51)\/(-8) and -9\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026393 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2720 - 2)\/(8 - 10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22333680 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -396, -1558, -3480, -6162?\n\"Answer: -380*o**2 - 22*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 10. Solve -12 = 4*z - 2*c, v*z - 6*z + c = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-11 + 12 - 11)*(2*j + 1 - 1) in the form y + v*j and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3253 - 3249 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7*l**2 + 7*l + 3. What is the remainder when 64 is divided by t(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -4.7. Let h = -2.5275 - -0.5275. Which is the closest to -1? (a) t (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 21079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 67 + 67. What is the second smallest value in 0.2, -0.2, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8ad (base 16) to base 13.\nAnswer: -18699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 83 + -98?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 13*a**2 - a - 8. Let t be i(-13). Suppose t*w - v = 273, 25*w + 175 = 28*w + 5*v. Calculate the greatest common factor of 55 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170*q**3 + 46*q**3 + 66*q**3 + 81*q**3 - 1031*q**2 wrt q.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -87, -38?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45449\/14? (a) -1\/6 (b) 0.4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 40*t**2 + 12*t - 9. List the prime factors of i(-11).\nAnswer: 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j + 20. Let b be g(4). Solve -b = -2*u - 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -3*s - 5*h, -h - 3 = 2*h. Suppose -d - 27 = -s. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*u. Solve -2*s - 3*s + 5*v + 30 = u, -16 = -3*s + 2*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383 > 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 32*m + 105. Let b be y(28). Let w be 5 + 1 + b - -3. Solve 4*x - 2*d = 8, -x - 2*d + w = -0*d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 5*t = -15*g - 8220, 2*g - 3285 = 3*t. What is the highest common divisor of 61 and g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-6)\/432*(-370)\/(-1295)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o - 2*o + 602 = 346 - 1116 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121 + 287*x**2 + 120 + 145*x**3 + 33*x**3 wrt x?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**5\/9 + 20*d**4\/9 - 40*d**3\/9 - 80*d**2\/9 + 32*d\/3 = 0.\nAnswer: -6, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(3) - sqrt(44))*-2)\/(sqrt(4) - (sqrt(144)\/sqrt(9) + sqrt(4) - sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 591, -253, -1097, -1941?\n\"Answer: -844*b + 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g. Let u(i) be the third derivative of -i**4\/24 - 2*i**2. Give p(u(r)).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353 + 349. Let u be ((-624)\/(-44) - 5) + i\/22. Calculate the highest common divisor of 207 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125285 - 66524. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -87*((-16)\/6 + 2). Let x = -630537\/10 - -63000. Let v = p + x. Calculate the common denominator of v and -35\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = -n - 3, -3*n + d = -7. Let i be (-1)\/((-8)\/6 + 1). Let c(k) = -7*k + 0 + n - i*k. What is c(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 147.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41509555*c**2 - 22225771*c - 2 wrt c?\nAnswer: 83019110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170 - 90. Let o be -8 + 12 + 5*q. What is the remainder when o\/10*(9\/(-6) - -4) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*c = -5, -1468*i + 1464*i + 3*c + 35 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32547 + 2*s**2 - 65089 - s + 38*s**3 + 32541 to the form j*s**2 + b + c*s + f*s**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 69*g - 272. What is the remainder when i(5) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55545 and 2116?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 3\/2 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -117*o + 81. What is the units digit of i(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4317\/(-11512))\/(81\/(-4)).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Let d = 10 - b. Find the common denominator of -7 and 0 + (375\/24)\/d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.1284333805?\nAnswer: 2.8715666195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1*(-34)\/2. Suppose g = -4*w - 3. What is the third biggest value in w, 0, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from harrrthttaah. Give prob of picking 1 a and 3 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0 + g**2 - 2\/3*g**3 - 3*g. Determine v(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95, 142, 189, 236, 283, 330?\n\"Answer: 47*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-4 - (0 + -2)) + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 7*j**2 + 218*j + 1035. Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-485)\/(-20) + 1\/(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:06 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-368)\/(-276))\/(8\/(-78))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -12.14, 2\/7, 2\/3, 5\/3, 2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2943*q + 18181. Is 389 a factor of b(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**4 + 2*b**4 + b**4 + (4 - 2 - 1)*(-2*b**4 - 4*b**4 + 4*b**4) - b**4 + b**4 - 2*b**4.\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55, -0.3, 0.4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 7*u**2 + u - 20. Let t = -14820 + 14826. What is l(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = n, 5*s + 2*n + 2 - 1 = 0. Let f = -6.4 + 6. What is the closest to -1\/4 in -1\/5, s, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 10 + -9)\/((-1)\/(-1)). Let d(b) be the third derivative of -b**5\/60 - 5*b**4\/24 - b**2. Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.6 + 17. Let c = s + 9.6. Let h = c - 8. What is the closest to -1 in -1\/4, h, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2252*-0.015\nAnswer: 33.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30 + ((-371)\/4452 - (-1186)\/24)\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/((-1)\/6). Solve -x = -q*h + 13, -5*x + 2*x - 27 = -3*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n - 14. Let y(a) = a + 5. Let x be y(0). Suppose 3*b = -n*q - 1230006, -2049988 = x*b - 3*q - q. What is b rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -41. Suppose -2*c - 3*s = -20, 7*c + h*s = 2*c + 45. Suppose c*q = 8*q - 12. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*((-1 + sqrt(3872) + sqrt(3872))**2 + -5 - (1*sqrt(3872) + -5 + sqrt(3872))).\nAnswer: -92934 + 1584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87136, -87143, -87150, -87157, -87164?\nAnswer: -87171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2 + -1)*-1. Suppose -g - g + 8 = p. Let s = g + -3. Solve 4*m - 5 = 4*a - s, 5*m - 15 = -5*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8324179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 13)\/((-2)\/4). Let s(b) = 3171*b - 14. Let n be s(a). Suppose 0*d + 18997 = d + p, 4*p = d - n. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 + 652*o**3 - 127065*o**2 + 1529968*o + 1657684 = 0. What is o?\nAnswer: -811, -1, 14, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 - (-1 + 5 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 27*w = -1458. Calculate the lowest common multiple of 18 and w.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4642349?\nAnswer: 29, 160081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24311471 - -38911471. What is r rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010101010 + 1100?\nAnswer: -1100010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/5, 30.3 in decreasing order.\nAnswer: 30.3, 0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -6*n + n + 135, 0 = n + 5*l - 23. Calculate the remainder when n is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6525 + 6551. Calculate the greatest common factor of 5122 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -114*r + 100. Let h(k) = -111*k + 100. Let q be -2*5 - ((-48)\/(-8) - 11). Let s(n) = q*j(n) + 6*h(n). Find the first derivative of s(g) wrt g.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212477935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2379*o = -2*w + 2380*o - 11, -4*o + 24 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482953 to the power of 1\/2, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/288*(-90)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/783 and 9\/319?\nAnswer: 8613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(60)\/(sqrt(1200)*-1).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*h + 142*h - 32*h + 99*h as n*h + q and give n.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 10:12 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 800502\nAnswer: 1\/800502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488286 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**4\/12 + 6*s**2. Let m = -70 - -138. Let b(d) = -11*d + m*d - 25*d. Calculate h(b(a)).\nAnswer: 64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 149502 = 2*j, 2*j = -4*w + j + 39858. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*3)\/(sqrt(8)*1*-3 - sqrt(8)) + sqrt(1573) + -3 + ((sqrt(13)*3)**2 + -2 - sqrt(13)).\nAnswer: 37*sqrt(13)\/4 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 - 6*w + 4. Calculate o(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-20*28\/(-210).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3592, 7176, 10760, 14344, 17928?\nAnswer: 21512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 74. Suppose 5*m + 12 = m, -s*r + m = -451. Calculate the remainder when r is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 2)\/(0 - 2). Suppose 2*g - 91 - 173 = d. What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, -252, -5, 0.1 in descending order.\nAnswer: 2, 1\/3, 0.1, -5, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 1. Let k be t(2). What is the least common multiple of 2\/k + -1 + 10 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 4, -3, 7, 374\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2746, -5742, -8984, -12472, -16206, -20186?\n\"Answer: -123*m**2 - 2627*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -178\/5 in 8, 0.4, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 369, 649, 1055, 1605?\nAnswer: 2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 38 = m, -3*q = 2*m - 55. Solve q*b + 8 = 19*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9) + 16\/60. What is the nearest to 0.2 in p, -2\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 + 4*x**2 - 4*x + 2. Let o(h) be the third derivative of h**6\/24 - 7*h**5\/60 + 7*h**4\/24 - 2*h**3\/3 - 4*h**2. Calculate -4*o(l) - 7*v(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 2, 0.12.\nAnswer: -29, -3, 0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 607?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**8*w)\/w*w**(-16))\/((w\/(w**(11\/4)*w))\/w**33) assuming w is positive.\nAnswer: w**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*p**3 + h*p**2 + 192*h*p + p**2 wrt p?\nAnswer: 12*h*p + 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -2.9795634.\nAnswer: 1.4897817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from azhmzazhihh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 7:49 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*s + 0*s = 25, 30 = -a - 5*s. Let x = -212 - -213. Put x, 5, 3, a in decreasing order.\nAnswer: 5, 3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 502 + -332. Let a = f - 83. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3))\/t)\/t*t**(-1\/5)*t\/((t*(t**(-10)*t)\/t)\/t*t)*t\/(t\/(t*t**(-1\/3))) assuming t is positive.\nAnswer: t**(187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519 + 767 = -3*o - 677 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3762*g - 148. Let a be q(-12). Let c = -27257 - a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - 6210 + 1527 = 203*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + p = 3, 0 = -5*n - 5*p + 2*p + 7. Let b be ((-6)\/12)\/(n\/4). Suppose t**3 - 4*t**3 + t**3 - 2*t**b = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**3 + 36*n**2 + 108*n + 96 = 0?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k - 7*k)*(-4*k + 3*k - k) - 8269*k + 8359*k + 6*k**2 - 19*k**2.\nAnswer: 7*k**2 + 90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/1188 + 4\/22.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j + 3. Let g be l(2). Let h = -11 - g. Solve 0 = h*r - r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 20. Suppose -8*h = -11*h - 123. Let z = 61 + h. Calculate the lowest common multiple of z and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16280, -130275, -439690, -1042235, -2035620, -3517555?\n\"Answer: -16285*p**3 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*d + 52, 14*x - 17*x = -d + 16. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*t**5 - 18*t**5 + 31*t**5 + (-t - t**3 + t - 2*t + 2*t + 2*t**3 + (5 - 6 - 1)*(-3 - t**3 + 3) - t**3 + 0*t**3 + 2*t**3)*(-2*t**2 + 3*t**2 - 3*t**2).\nAnswer: -84*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/7 - 1062*h**2 + 48356*h - 331056\/7 = 0.\nAnswer: -3762, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*j = -163*j + 270473. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22\/17, 0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.1, -4, -3, -1\/5, -0.28, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1467 + 1415 - (0 - (13 + 2))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/2, -5\/3, 3\/5, -0.2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 61*g**2 - 37*g + 122. Is s(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 19587636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 + 110\/(-6). Let t be (15\/(-9))\/(3\/j). Let b(u) = -2*u**3 - 6*u**2 + 5*u - 5. Let q be b(-5). Calculate the highest common factor of q and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.4. Which is the closest to -2? (a) u (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 289580*x + 13031107. Determine p(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646*i = 760*i - 2130090. List the prime factors of i.\nAnswer: 5, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 20*d**3 + 4*d**2 + 11*d + 6. Let g(q) = -19*q**3 - 3*q**2 - 9*q - 5. What is 5*g(j) + 4*l(j)?\nAnswer: -15*j**3 + j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002182740124 to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/10, -0.34 in decreasing order.\nAnswer: 4, -1\/10, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24200 and 10600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35731897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -h - 672, -b - b = -3*h - 2028. Is h\/4*1\/((-15)\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 0.66. Let o = 5\/32 - 89\/160. Which is the closest to 1\/4? (a) o (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 101*m - 95*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 7*o**5\/5 + 5*o**2\/2 + 2. Find the second derivative of l(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88638*u**2 + 44301*u**2 + 44314*u**2.\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/45, 1\/4, 0, -5?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.1552 (b) 1\/11 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 3*o**2 + 1. Let j(w) = -315*w - 5589. Calculate the remainder when m(4) is divided by j(-18).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 385, -24175 in decreasing order.\nAnswer: 385, 0, -24175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22069680*n**4 - 8252445*n**2 wrt n.\nAnswer: -529672320*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 + -195. Solve i + 9 = 6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2\/5, 17, 1, 4, 6388 in increasing order.\nAnswer: -3\/2, 2\/5, 1, 4, 17, 6388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, t: 4, x: 1, v: 2}. Give prob of picking 1 v, 1 b, and 1 x.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 38 + 22 = 0. Find the common denominator of 1\/(-3) - 196\/v and (-46)\/230*475\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(30\/7)*b*b\/(b\/((b\/((b\/b**19*b)\/b*b)*b)\/b)*b*b))\/(b**(1\/7)\/b*b**(-9)))**39 assuming b is positive.\nAnswer: b**(8502\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 7*y + 2. Let x(l) = -l**2 + 1. Let z(f) = q(f) + 2*x(f). Let n be z(-8). Calculate the greatest common factor of 60 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199832.36 rounded to the nearest one hundred?\nAnswer: -199800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 - 6*d - 4. Let w be j(-3). What is the first derivative of 7*y**3 - 3*y**3 - 11 + w wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 29. Suppose 3*x - 1 = z. Suppose -2*b + 3*v + 30 = 0, x*v = v. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45570295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 + 172*o**4 + 20876*o**3 + 323028*o**2 + 302328*o = 0.\nAnswer: -39, -19, -1, 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) + 3)) + 3 + 4*sqrt(100)\/sqrt(5))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1952.6 and 0.98753?\nAnswer: 1953.58753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3158 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: Collect the terms in -8008*z**3 - 8023*z**3 + 15993*z**3 + 7*z**2 - 2*z.\nAnswer: -38*z**3 + 7*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 18*g**3 + 2*g**2 + 17*g - 2. Let y(w) = -73*w**3 - 9*w**2 - 69*w + 9. Let j(r) = 9*a(r) + 2*y(r). What is the second derivative of j(k) wrt k?\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(9*q + 10*q - 14*q)*(2*q - 2*q + q**2).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/975311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.05 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30680 and 2060435?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82655 is divided by 656.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.72 + 6.24. Let k = -0.734 - -0.193. Let c = d + k. What is c rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62588423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand -79 - 3*r + 2*r**4 - r**4 + 76 + 3*r**4 + 2*r**4 - 3*r**4 + (2*r - r**2 - 2*r)*(-r**2 + 0*r**2 - r**2).\nAnswer: 5*r**4 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15538680 divided by 45.\nAnswer: 345304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1061*k**2 + 14250 wrt k?\nAnswer: 2122*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/69)\/((-144420)\/(-221444)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6186*u**3 + 90*u**2 - 9*u + 8. Let c(d) = -2062*d**3 - 37*d**2 + 3*d - 3. Let s(k) = 8*c(k) + 3*y(k). Find the third derivative of s(l) wrt l.\nAnswer: 12372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*v = 30, 30 = 5*l - 8*v + 3*v. Let d = 26 - l. Solve 2*o = -q - 2, 2*o + d = 6*o - 4*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 35 - 14 + 7*d - 17 - 4 + 3. Let c be -7 + 5 + -4 - (-3 + 0). Calculate v(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12382272 divided by -3108\nAnswer: -3984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-246402)\/(-6804))\/(4\/2 + 4) - 6.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 3*p**2 - p**3 + 271*p + 209*p - 158*p + 106*p.\nAnswer: -p**3 + 7*p**2 + 428*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 80 + 3*p + 5 - 2 - 83. Let v(c) = c**2 + 2*c. Give -6*q(f) + 9*v(f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364 + 79. Suppose j = -2*m + 415, -j = -5*m - 0*m - f. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 39 + 21 = 0. Suppose -40 = -5*r + m*y, -7*r = -4*r - 4*y - 29. Solve 2*z + 9 = r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2413 = 3*n, 2*n - 1245 - 5994 = -3*k. Calculate the greatest common divisor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 0 + 2. Let h(u) = u - 1. Let q be h(o). What is the first derivative of 2*w**4 - 4*w**2 + 4*w**q - 2 wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1636 + 3.3064. Which is greater: y or -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-10)\/(-8))\/(3\/56). Suppose -49*i = -52*i + s. What is the remainder when 20 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0.28, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/(-45)*255\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2 - 2*f - 2. Let l(v) = 5*v**2 + 2*v + 2. Suppose 0 = -4*t + 5*o + 31, 3*t - 5*o = -6*o + 9. Calculate t*d(g) + 5*l(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/12 - 3205*n**4\/24 - 1600*n**3\/3 - 2595*n**2. Solve w(q) = 0 for q.\nAnswer: -640, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6 + 3 - 28*i**2 - 2 + 7*i + 6*i**2. Let v(x) = x. Let g(y) = -b(y) + 6*v(y). Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -234, -845, -2032, -3987, -6902, -10969, -16380?\nAnswer: -23327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*c - 30 = -10, 5*c = 4*a + 36. Let m = -4 - a. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 2*n + 2. Suppose -2*b - 2*b = 8. Determine o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 7. Suppose -m*n = -3 - 0. Let y be (-1 + n)\/(2 + -4). Solve -3*j - 7 = -4, y = p - 3*j - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2 - 36638. Let a(y) = y. Calculate v(a(w)).\nAnswer: -9*w**2 - 36638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -19. Suppose -3*m + 6 = 0, i = 6*i - m - c. Solve a = i - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/(-24)*2*2\/(-92)*-4?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 - 5229?\nAnswer: -5231.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 987 + 382 = 6*o - 525 - 521, a + 5*o = 363 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 - -53. Let g = 84 + c. Suppose -g = -2*s + 22. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -853 divided by 842?\nAnswer: -853\/842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/55 and 103\/690?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 - 3. Let n(o) = -166*o**2. Give a(n(q)).\nAnswer: -27556*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 - q**2 + 182.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-2)\/(-45)*43518 + (-84)\/630. Calculate the highest common divisor of 1311 and l.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -5.9 (c) -19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28187 is divided by 25290?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c - -e?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 4.\nAnswer: 135\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {n: 2, c: 13, s: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 18 = 3. Let g be (-4 + 3)*(h - -5). Find the common denominator of -61\/3 and (-105)\/(-18) + (-4)\/g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189235 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -37*c**3 - 4*c**2 - 35*c + 2. Let y(g) = 37*g**3 + 3*g**2 + 36*g + 1. Let x(n) = 3*s(n) + 4*y(n). Find the second derivative of x(b) wrt b.\nAnswer: 222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 3*s + 4. Let t be (13\/5 - 66\/110) + 0. Let p(a) = -a**2 + a - 1. Let f(g) = t*p(g) + q(g). Suppose 7*k - 8 = 3*k. Give f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858700 is divided by 176.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13305222 is divided by 6652606?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 28*i**2 + 2*i**3 + 23*i**2 - 2*i - 2 - 49*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 43*y**2 - 242*y + 301. Let p be z(-38). Which is smaller: p or 2275?\nAnswer: 2275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (11 - -2 - 23) - 31.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2410, 4822, 7234, 9646?\n\"Answer: 2412*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(-1\/2)*g)))**(1\/7)*(g\/g**(-5))\/(g\/g**8))\/((g*g**(-6))\/g**10)**6 assuming g is positive.\nAnswer: g**(1443\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -11. Let d be ((-8)\/(-5))\/((-16)\/(-40)). Suppose f*x + 1100025 = -b, -5*b - 5*x = -d*x + 5500005. Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 276 = 4*d. Suppose -d = 2*f - 6*f. Let l = f - 23. Solve l - 4 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 176.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 798570390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - (-10 + -11) - -18) + (4 - (5 - 4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*h + 1 - 1 - 72*h + 66*h in the form w + l*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 22826254.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12522 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 h(f) = 2*f - 11. Let j be 70\/5*12\/14. Is h(j) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5481060.9 to the nearest 10000.\nAnswer: -5480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 135. Solve -3*t - 4*c - 24 = 0, q*t + 4*c + 6 + 14 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399246349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 184.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a - 24 = 0. Let u be ((-3)\/(-6))\/(2\/a). Suppose u*d + 3*d - 5 = 0. Let i(j) = -3*j**3 - j**2 - j + 1. Determine i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039022 < 12039021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**6\/180 + c**5\/15 + 19*c**3 + 26. Let y(t) be the third derivative of z(t). Factor y(k).\nAnswer: 2*k*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 16*c + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllzlkzz. Give prob of picking 1 k and 2 z.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 82 - 5*g**2 + 5*g**2.\nAnswer: 5*g**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4240249263.\nAnswer: 3, 61, 2574529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1478, 1841, 2204?\nAnswer: 2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-27*14\/(-1134)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16087896, 16087911, 16087952, 16088031, 16088160, 16088351, 16088616, 16088967?\nAnswer: 16089416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/12 + 235*p**2\/6 + 28583*p\/12 - 14527\/6.\nAnswer: (p - 1)*(p + 73)*(p + 398)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s = -36*s - 15. Suppose 3*c = r - 2*r + 5, 0 = -s*c + 3*r + 21. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/1)\/(28\/(-10626)).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/2)\/((-7)\/(-14))*-1. Suppose -t*r = -1017 - 171. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 9)\/(((-8)\/(-44))\/1). Suppose 137 = 4*j - 4*x + d, -4*j + 80 = 2*x. Suppose 3*w - 20 = j. Calculate the greatest common factor of w and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 + 74210*j\/13 + 131612992\/13.\nAnswer: -2*(j - 38801)*(j + 1696)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u - 20. Let f(b) = -b + 1. Let q(p) = -10*f(p) - 2*o(p). Let z be q(7). Calculate the common denominator of 13\/12 and ((-284)\/(-20) - -6)*(-10)\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 32*h - 40 + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/20*(-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*g + 2 - 20, -c + 3 = -2*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 84 + s - 74 - 80 + 212.\nAnswer: s - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -19 - 3\/4*c**4 - 6*c**2 + 4*c**3 + 0*c. Find d, given that y(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106289 + -71358. What are the prime factors of u?\nAnswer: 13, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(-48 - -44).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4 = 0, -4*o + o = -3*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 29630*d - 29635.\nAnswer: 5*(d - 1)*(d + 5927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = -5*n, j + 17 = 110*n - 105*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 - 121. Is -6 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*s + 2*b, 21 = -4*s - 3*b + 8*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5765, 5766, 5777, 5804, 5853, 5930, 6041, 6192?\n\"Answer: d**3 - d**2 - 3*d + 5768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 6*x + 398. Give o(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1*4 - (sqrt(38) - sqrt(38)*1)\/sqrt(2))**2 + -1 + 0 + 0.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d - 14*d = -31*d - 37*d + 2086, t - 67 = -5*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*sqrt(17) + 1*(-2 + sqrt(17)))**2 + sqrt(17) + 5 + -5 + (sqrt(1088) - 3*sqrt(1088))**2 + sqrt(17).\nAnswer: -18*sqrt(17) + 4781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*q - 154*q - 156*q - 3*b = 149*q + 13, 12 = -4*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8272909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.18309?\nAnswer: 0.91545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 10. Let c be s(-7). Let r = 6 - c. Suppose 2*g + y - 1 = 3, -5*y + 14 = 4*g. What is the greatest common divisor of r and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*c = 9, 5*j - c - 3 = -2*c. Suppose -u + 153 = -j*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58573 = -143*n + 861*n + 5329 for n.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-1))\/y*y))**(-2\/91)*y**(-2\/7)*y**3)**(-16\/5) assuming y is positive.\nAnswer: y**(-112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9186 = -16*s + 622. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45659172804 - 4*j**3 + 45659172804.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 + m**5\/6 - 5*m**4\/12 + 5*m**3\/6 - 40*m**2. What is the units digit of z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v + 11. Let z(t) = -6*t - 5. Let m(d) = 5*d + 4. Let f(y) = 5*m(y) + 4*z(y). Let g(o) = -2*b(o) + 6*f(o). Find the first derivative of g(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from yyyyyyyyyyyyyyyyyk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18108, -72418, -162930, -289644, -452560, -651678, -886998?\n\"Answer: -18101*g**2 - 7*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 35. Suppose -23 = -5*b - k - 0*k, k = 3*b - w. What is the second derivative of 3*s - 2*s**5 + 0*s + b*s - 4*s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e1 + 4?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.137+0.6\nAnswer: 0.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minus -342582?\nAnswer: 342708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2879 divided by 4.\nAnswer: 2879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 5. Let a(u) = -u - 8. Let d(f) = -5*a(f) - 7*o(f). Let c be d(3). Is -3*(-84 + 0) + (c - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15. Let w(n) = -n - 46. Let d(f) = -4*w(f) - 14*y(f). Let i be d(6). What is the remainder when ((-18)\/(-9))\/(i\/(-164)) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.699631 months in years?\nAnswer: 0.22496925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1320608 and 1320608.\nAnswer: 1320608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 20. Suppose -a*h + 9 + 21 = 5*w, 4*h = 20. Suppose j - 2*o = -5*o - 6, 0 = -4*j + 3*o + 21. Solve -j*b - w*b = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1605*t + 1604*t - 14973 + 14973.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 2*s**3 + 2*s**3 + (4 - 3 + 0)*(3*s**3 - 3*s**3 - s**3) - 5*s**3 + 0*s**3 + 4*s**3 - 65*s**3 + 209261*s - 209261*s.\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5\/4 - 19*x**4\/2 + 39*x**3\/4 + 31*x**2\/2 - 11*x - 6 = 0.\nAnswer: -1, -2\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-90 - -25) - (2 - 21 - -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 * 4715110.\nAnswer: -825144250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, a: 9}. Give prob of picking 2 y.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i\/((i*i*i**(-8))\/i)*i**(-1\/4)\/(i*i\/((i*i*i**1*i)\/i)))\/(i**(1\/5)*i*i\/(i\/i**(2\/7)))**31 assuming i is positive.\nAnswer: i**(-6063\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*g - 196 - 1520, 3*g - z = 1707. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*h, 0 = -2*h + 6*n - 10*n + 16. Factor -5*p - p - 10 - 1 + 8*p + h*p**2 - 1.\nAnswer: 2*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317697 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2974 - 2977 = 3*i - 12*t, t + 2 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(288) - sqrt(288)) + sqrt(14)\/(-2*sqrt(7)))**2.\nAnswer: -7203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.237 less than -0.15?\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-21))\/((-496)\/56 - -9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -806 + 837. Solve -v*f = -25*f - 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45.40458ml?\nAnswer: 0.04540458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7418476955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 123 = -14552. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-49)\/7 + 9. Suppose -56*q + 63*q + 35 = u. Which is the third biggest value? (a) 4 (b) q (c) 0.3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let t(h) = 32*h. What is v(t(u))?\nAnswer: 2048*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 11:10 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168*r**5 + 86*r**2 wrt r?\nAnswer: -10080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*3\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -5 (b) -1.189 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 998*o**2\/15 - 2014*o\/5 - 606.\nAnswer: 2*(o - 505)*(o + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -27*f - 24*f + 1744, -3*g - 110 + 47 = -5*f + 101 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 259*o. Let x(h) = h - 4. Let m(a) = 12 + 8 + 17 - 36. Let y(n) = -4*m(n) - x(n). Determine w(y(i)).\nAnswer: -259*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8635971894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 6*l - 8. Suppose 0 = -5*k + 3*y + 15 + 15, -2*k - 9 = 3*y. Calculate the remainder when d(-8) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*(k\/(k\/k**6))\/k)*k\/(k*k**(-2)*k)*(k**1)**(-48)*((k**1*k)\/k)**(-1\/38)\/(k\/((k*k\/(k\/k**(2\/3))*k)\/k)*k**1) assuming k is positive.\nAnswer: k**(-6083\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(20)\/(sqrt(10)\/sqrt(2)))\/(sqrt(200) + sqrt(200) + 1*sqrt(200) + sqrt(200) + sqrt(200)))**2.\nAnswer: -2*sqrt(2)\/25 + 5001\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfrrnfyrfnrnfrrnwf. What is prob of picking 1 n and 1 r?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.7. Let a = -0.18 + -7.02. Let c = -7 - a. Sort c, k, 1\/6 in decreasing order.\nAnswer: k, c, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/11 (b) -0.1 (c) 2\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74774104 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 229395394 to the power of 1\/2, to the nearest integer?\nAnswer: 15146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 560521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15 + 7 + 12*x + 10*x + 8. Let r(w) = 15*w**2. What is j(r(v))?\nAnswer: 330*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 0, -1, 179.\nAnswer: -1, 0, 1, 7, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1164271, -2328532, -3492793?\nAnswer: -4657054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9058667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s**3 + s**2. Calculate r(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 8. Let t be v(7). Factor -t*c**2 + 7*c**2 + 6*c**2 - 3*c**3 + 3*c.\nAnswer: -3*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 37. Calculate the remainder when 224 is divided by a(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -t - 2 - 20 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 9 - 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 90, 105, 124, 147?\n\"Answer: 2*o**2 + 5*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(5\/(40\/16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 12*l**2 + 14*l - 10. Let u be h(-10). Suppose -77 = j - 2*j. Let k = j - u. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 6. Let s be g(-3). Let q(c) = 4*c**2 - 1. Let a(f) = 21*f**2 + 2*f - 2. Let u(p) = -a(p) + 6*q(p). What is the units digit of u(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800531104.\nAnswer: 2, 19, 31, 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/3 + 50*g**3\/3 + g**2 - 152*g\/3 + 100\/3.\nAnswer: -(g - 50)*(g - 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 - 2*f**2)*(53*f + f - f)*(2*f - 2 + 2).\nAnswer: -212*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 312 + 389 = 0. Find the common denominator of 57\/91 and (266\/735)\/((28\/(-12))\/y).\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 30808.97?\nAnswer: -708606.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 35 - 8*i**2 - 26*i**2 + 35 + i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let f(p) = -p**3 - 7*p**2 + 9*p + 10. Let s(c) = -7*c**2 + 2*c + 1. Let q be s(-1). Let d be f(q). Let n(a) = 2 - 2 + d*a. Give x(n(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 4 - 62296*c**2 + 62312*c**2 + 2 + c**3. Determine r(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 20112*j - 4 - 10046*j - 10034*j.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246374 rounded to the nearest ten thousand?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79184\/3 or 26395?\nAnswer: 26395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/20 - o**4\/2 - o**3\/6 - 2*o**2 - 14*o + 27. Calculate q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404735297.\nAnswer: 404735297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 + 62)*((-5 - 3058\/(-235)) + -8).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 3 - 3374\/(-7). Let a = i + -486. Solve -6*z + a*z = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 > 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from uuhuhhu.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 53\/3036 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1 = 7442*q - 7441*q, -3*q + 0*w + 13 = -4*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f**2 - 23182*f + 69432. Determine o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0799 - 0.0299. What is the biggest value in 90, b, 0.1?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86478 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10011?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + z + 253 = 259, 0 = -k + 4*z - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 l, and 1 o when four letters picked without replacement from {r: 6, l: 3, o: 2, u: 1, f: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 1 + sqrt(1100) + -4 + 0 + sqrt(1100) + sqrt(1100) + -2 - ((0 + sqrt(1100))**2 + -5 + sqrt(1100)*1 + 4).\nAnswer: -1104 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -604 + 636.18. Let p = 32 - d. Let g = p + -0.12. Which is the smallest value? (a) g (b) -3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.1 (b) -18 (c) 3\/8 (d) 0 (e) -4.6 (f) -2\/7 (g) -50\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/60 + 10*u**2. Let m(z) = -9*z. Give m(f(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1427*c - 2*c**2 - 1427*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**5\/95 - 4*q**4\/19 + 4*q**3\/57 + 80*q**2\/19 - 150*q\/19 + 224. Let h(n) = 0. Calculate n.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*(sqrt(7) + sqrt(14)\/sqrt(2)) - sqrt(7) - sqrt(84)\/(sqrt(36)\/sqrt(3))))**2.\nAnswer: -20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*h - 7 = -m, 2*h - 10 = 2*m. Let b = -37 + 52. Let r = b + m. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -6)*-3*-5. Let u = z - -106. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -43. Let j(l) = 2*l + f*l**2 - 3*l - 3*l**3 + 3*l - 1. Let h be j(7). What is h rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*l - 8 = u, u = 2*l + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3130 + 1?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**2 + 3. Let d be f(-3). Let k = -42 - d. Suppose 2*n - k = u - 2*u, -3*n = -u - 27. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 3:36 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = 2*x - 2*y, -5*x = -3*y + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from jxjyj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*i - 7*f + 2*f, f = 3*i - 7. Let o = -2 + i. List the prime factors of 9\/5 + o\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 9*i**4\/8 + i**3\/6 + 26*i**2. Let t(o) = 4*o**2. Let y(p) = -17*p**2. Let b(u) = -4*t(u) - y(u). Calculate l(b(r)).\nAnswer: 27*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132917.\nAnswer: 23, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 34*z + 43. Let t be y(-31). Let s = -30 - t. Solve 0 = 5*m + v - s, 16 = 2*m + 5*v - 3*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21257.29 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*u**2 - 2168*g - 17*u**2 + 2*u + 16 wrt g.\nAnswer: u**2 - 2168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92, 93, 94, 95, 96, 97?\n\"Answer: z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 865*k - 3432. What is w(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -634 and -1.\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microsecond in nanoseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(1900) - (sqrt(1900) + 6*(sqrt(1900) - (sqrt(1900) + sqrt(1900) + (sqrt(1900) - -2*sqrt(1900)) + sqrt(1900)))))**2 + 1.\nAnswer: -1040*sqrt(19) + 1284405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7410000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - -7*(7 - -170).\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271*d*t**2 + d*t - 234826452*d - 746050*t**2 wrt t.\nAnswer: 542*d - 1492100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 37731, 9.\nAnswer: -0.4, 0.2, 9, 37731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 465 = 2*i + 45, -5*i - 1275 = -s. Is -252 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -250, -499, -748, -997, -1246?\n\"Answer: -249*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 207 + -4 + (-12)\/3 + 2. Let o be 1 - (2 - -109 - -1). Let x = o + d. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - q = -1113, -2*x + 2*q - 291 = -1425. What is the greatest common divisor of 980 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.11, -0.1, 119 in increasing order.\nAnswer: -0.1, 0.11, 10, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -471*j - 21620. Give g(-46).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose -4*i + h*d - 2 = -0*i, -8 = i - 3*d. What is the highest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 22. Let z be (15\/(-9))\/(c\/564). Let w = z - -384. What are the prime factors of w?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1931781 (base 11) to base 7\nAnswer: 36525252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32134 - -212?\nAnswer: 32401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*5 + -5)*2)**2.\nAnswer: -1800*sqrt(3) + 24400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-189 + 189 + 48*i)*(5 + 1 - 20).\nAnswer: 3360*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/9 + 1960*j**4\/9 - 218*j**3 = 0 for j.\nAnswer: -981, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55151 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 z when three letters picked without replacement from {z: 4, m: 2, p: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 10*m**2 - 46*m - 116. List the prime factors of j(20).\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2767394661 to the nearest integer?\nAnswer: 52606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2\/6 - 1. Let g be (-39)\/21 + (2 - 0). Put g, -3, j in decreasing order.\nAnswer: g, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5\/30*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - (-86 - -86) - (2 - -20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 2*t. Let d(q) = -19*q**3 + 2*q**2 - 4*q + 50. Let j(s) = -d(s) + 2*n(s). What is the derivative of j(y) wrt y?\nAnswer: 57*y**2 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-15) + 4296\/36. Let n = 120 - l. Let x = -0.6 + 0.3. Sort n, 3, x in ascending order.\nAnswer: x, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174 - 5206?\nAnswer: -5402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Let j(s) = 3*s**2 + s. Let b be j(1). Solve 0 - g = b*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 1377967073.\nAnswer: 1377967058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1717 is divided by 646?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 2*g - 1. Let s(m) = -m**2 - 4*m - 1. Let j be s(-4). Determine r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90788, 181682, 272574, 363464, 454352?\n\"Answer: -p**2 + 90897*p - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145874739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240 - u**3 + 1240.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**2)*(-486*c - 529*c + 1181*c)*(3 + 4 - 27).\nAnswer: -3320*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -14534313.\nAnswer: -17\/4844771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88345195 divided by -5.\nAnswer: 17669039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*o - 2112 - 10350 = -450 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*f**2 - 1329*f**2 - 2655*f**2 + f - 1278*f**2.\nAnswer: -4353*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.42 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -290*s**2 - 19*s**2 - 2021*s**2 in the form i*s**2 + f + w*s and give i.\nAnswer: -2330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4430 (base 5) to base 13.\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2093205 bigger than -4186407\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 2*o = 318, -s = -3*o + 69. Let i be (-12)\/s - (-2)\/(-13)*-155. Let c = i - 23. Calculate the greatest common factor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Suppose t + 18 = 4*t. Let u(j) = -t*j + 3 - 3 + 0*j. Determine v(u(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/(-14))\/(210\/245))\/((-3640)\/(-104832))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058 a factor of 57570846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -364, -737, -1108, -1477, -1844, -2209, -2572?\n\"Answer: z**2 - 376*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - o**3 + 0 + (3*o + 0*o + 2*o)*(2*o - 3*o**2 - 2*o) - 4*o**3 + 5*o**3 - 3*o**3 to the form u*o**3 + g + w*o**2 + p*o and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 435110436 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 6 + 5)*(0 + 1 - 2) - 2 - 2 + 5)*(-3*f + f + 3*f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 2*k)*(12*k - 2*k**3 - 12*k) + (5*k**2 - 2*k**2 - k**2)*(3*k**2 + 4*k**2 - 5*k**2).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 217*l**3 + 9*l**2 - 3*l - 505. Let t(q) = -1084*q**3 - 48*q**2 + 16*q + 2528. Let w(s) = -3*t(s) - 16*x(s). Differentiate w(p) wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/42 + (-1222)\/(-7))*14. What is the highest common divisor of i and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -23354?\nAnswer: 23361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 908 and 17933.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023294 rounded to six decimal places?\nAnswer: 0.000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 221872 (base 15) to base 5\nAnswer: 404002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(931)*-2*6)**2.\nAnswer: -804384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4b8 (base 15) to base 16\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14987.3083 - -14250.30467. Let q = -18.17 + 755.17. Let b = q + f. What is b rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537825 divided by 355.\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.05 + 51.95. Let o = k - 76. Let b = -23.1 - o. Which is bigger: b or -7\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2401 + 12*u**2 + 251*u + 2337497*u**4 + 0*u**2 - 2337496*u**4 wrt u.\nAnswer: 4*u**3 + 24*u + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*l = l + 220, -l + 330 = -3*m. Let d be 175\/21*(-90)\/50. Let f = d - m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 3*q**2 + 0*q**2 + (q + 4*q - 4*q)*(-q + q + 2*q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3639 to 2 decimal places.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 5*g - 4*g**3 + 3*g**3 - g**2 - 2*g**3. Suppose -2*i + 4 = 7*b - 3*b, 0 = -2*b + 5*i - 22. Let l be m(b). Solve 9 + 0 = -l*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - k + 180 = 0, -21 + 13 = 4*k. Calculate the highest common factor of q and 5369.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110101100010010 (base 2) in base 15?\nAnswer: 1c816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -514\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379654.7 kilograms to micrograms.\nAnswer: 379654700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4328854 and 0.053.\nAnswer: -0.0229429262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3954.36774 to 0 decimal places.\nAnswer: -3954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35475644 - -0.2\nAnswer: 35475644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49552 is divided by 1548.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**10\/37800 - b**9\/15120 + b**5\/10 + 3*b**2. Let m(k) be the third derivative of h(k). Factor m(j).\nAnswer: 4*j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -140?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-90)*(345 - 24) and 2\/4*62\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 0 - 2*-1. Let f(v) = -8*v + 3. Suppose 2*j = -28 + 30. Let a be f(j). Which is bigger: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 286 = -566 + 224. Solve c - 50*y = -53*y - 11, -r*c = 2*y + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726\/(-132) + (-5)\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {k: 1, v: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3)*2\/(-2). Let n = 1632 - 1630. What is the closest to b in -0.2, n, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.13 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22089 = -93*u - 56*u + 11287. Let g(h) = -3*h + 8. Let m be g(-8). What is the greatest common divisor of u and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*p - 27*p - 23*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -6800.\nAnswer: -6801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 5*n**2 + 6*n - 2. Let z be f(4). Let k be (3\/4)\/((-3)\/(-48)). What is the highest common factor of z and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.7833046 and -18.\nAnswer: -12.2166954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-311 - -305) + 20 + -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3226621 - 1090189. Let y = -3073568 - t. Round y to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -143, -197, -283, -407?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - (10 - (-5 + (-31 - -11))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + y = -31, -2*y = -o - 7*y + 27. What is the second derivative of o*r**5 + 304*r**2 - 304*r**2 + 5*r wrt r?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 311 + -77. Let q = g + -233.8. Which is the nearest to 2\/25? (a) q (b) -0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361 + 357. Which is the fourth smallest value? (a) 2\/5 (b) h (c) 1\/4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142779635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2674 + -13368\/5. Which is the nearest to 0.2? (a) -17 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21850255769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-130) - 25\/((-3575)\/4598)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8259 + -16519\/2. Sort z, 4, 3, 0.04.\nAnswer: z, 0.04, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14911201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and -25\/3574974.\nAnswer: 3574974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0.76, 9.2 in ascending order.\nAnswer: -4, -1, 0.76, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 865 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2 - 4 - 10*d - 9. What is the tens digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-6) + 4\/12. Suppose r + 859 = 2*k - m*r, -2*k - r + 829 = 0. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Let m = h - 8. Which is the closest to -0.1? (a) m (b) 4\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let d be -1 - -1 - q\/(-3). Let g be 1\/(-10)*1*2. Are g and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + 130 + -159 + -120?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**5 - 4*c**4 + 11*c**2 - 4. Let m(d) = -d**5 + d**4 + d**2 + 1. Let y = -8 + 12. Let o(n) = y*m(n) + j(n). Find the third derivative of o(g) wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -0.3 (c) 4 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13155 (base 7) to base 8.\nAnswer: 6677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 57 + 116)*(-5 - 3 - 1)*(-x - 3*x + 3*x).\nAnswer: 1494*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuzzzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 47155 - 4003*y + 47159 - 94314 in the form h + n*y and give n.\nAnswer: -4003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 2}. Give prob of sequence jjjb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10075742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -0.2 (c) -8 (d) 23\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*a - 2*a**3 - 65*a - 7*a**4 + 194*a - 67*a - 1 in the form l + j*a**4 + r*a + q*a**2 + o*a**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*u - g + 4537, -u = -g - 1138. Let q = u - 678. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 8*v**2 - v - 3. Let d be s(-8). Solve -11 = -i - 3*b, d*i - 5*b = -0*b - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 315962.7 decades?\nAnswer: 3159627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7773 divided by 7773\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 47 - 12. Suppose -6*b - 7 = 3*z - b, 50 = t*z - 4*b. Let -80*x**4 - z*x**3 + 8*x + 22*x**3 + 84*x**4 + 20*x**2 = 0. Calculate x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 478\/(-4)*((-62)\/24 + 4). Let c = -521\/3 - g. Find the common denominator of 24\/7 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -22 (c) -3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.4 + 44.4. Let s = -143 - -157.7. Let k = -15 + s. What is the smallest value in -6, y, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/38 + (-2)\/19. Let f(o) = o**3 - 3*o + 2. Let u be f(2). Solve -i - w**u + 5*w**2 - 3*w**2 + 0 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1995 and -34\/389298885.\nAnswer: 2725092195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/7 - 29180*d\/7 - 106434050\/7 = 0 for d.\nAnswer: -7295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k - 11174 = 33*k + 50*k + 15*k for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64508 by -4.\nAnswer: -16127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31145433 rounded to four dps?\nAnswer: -0.3115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 9*c + 12. Let p be u(8). Let s be (-2)\/(-8) - 621\/p. Let k = -36 - s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 7*a + 2. Let g be f(5). Suppose 0 = -7*b + 4*b + g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -11\/2, -1 in decreasing order.\nAnswer: -4\/5, -1, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 189 = -17*q. What is the remainder when 29 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103204 (base 5) to base 14.\nAnswer: 141c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 13*u**2 + 2*u + 6. Let k be f(13). Let c = k + -27. Suppose -3*h - c*t + 7660 = 0, 4*h - 2*t - 2*t = 10160. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -551 (c) -1\/3 (d) -2\/9 (e) 1 (f) -7\/295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 9263872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.2, 26331?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = q + v, -5*q + 614 + 584 = -4*v + 1245 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529789 is divided by 5893?\nAnswer: 5312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 0.053969\nAnswer: 0.00323814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2674, -10889, -24588, -43771, -68438, -98589?\n\"Answer: -2742*v**2 + 11*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 33*r**2 + 32*r. Let o be n(32). Solve 10*c + 107 - 67 = o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (457 - 819 - 245)*(-2*h - h + 2*h).\nAnswer: 607*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*t - 122*t = -2. Let u(c) be the first derivative of 0*c - 4\/3*c**3 + 0*c**t + 3. Let k(p) = 2*p. Calculate k(u(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47004.3 weeks in hours?\nAnswer: 7896722.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-3)\/75*190. Calculate the greatest common divisor of z and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.81 in 4, -12, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1294.341174 + 0.2\nAnswer: 1294.541174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 12 = 0. Suppose x = -v + 5, 4*x - 5*v - 44 = -15. What is the greatest common divisor of x and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = f - 9333 - 13081, 4*f + r = 89700. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 m when three letters picked without replacement from {a: 6, k: 3, v: 5, m: 1, c: 5}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttthtttttttt. Give prob of picking 2 t.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (214\/10 + 2)*(-490)\/(-21) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 7. Let n(k) be the third derivative of -k**4\/12 - 2*k**3\/3 - 3*k**2. Let q(o) = -o - 3. Give t*q(g) + 4*n(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, 1 in increasing order.\nAnswer: -12, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24794582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535862.\nAnswer: 2, 3, 255977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/11743 or 1?\nAnswer: 42\/11743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.446683 to 2 decimal places.\nAnswer: -21.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzl when three letters picked without replacement from lzj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -196298109 from -1132940.\nAnswer: 195165169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7542828 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -20*j**2 - 5*j. Let y(m) = -m**2 - m. Let o(z) = u(z) - 5*y(z). Let p(q) = q. Determine p(o(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38798 and 182759.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*2*(-24)\/(-48)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 2*u - 2*u + 5*u. Let m(c) = -4 - 2*c**2 + 4. What is m(w(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**5 + 5*g**4 - 12*g**3 + 4*g. Let r(v) = 8*v**5 + 15*v**4 - 35*v**3 + v**2 + 11*v. Let a(m) = -4*r(m) + 11*u(m). Suppose a(z) = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**2 - 10*d + 84. Let u(j) = -10*j**2 + 8*j - 85. Calculate -4*r(z) - 5*u(z).\nAnswer: 2*z**2 + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r - r + 4*r + (7 - 2 - 3)*(-2 - r + 2) - 2*r + 2*r + r - r + 2*r + r + r + 2*r - 16 + 18.\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-42)*(-7 + 1). Solve 5*y + l = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -103*f + 0*f**4 + 1\/4*f**5 + 143\/6*f**3 + 0*f**2 + 0. Find the second derivative of c(s) wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101.6 in -4, -0.4, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96114 or 96330?\nAnswer: 96330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754372 (base 8) to base 11.\nAnswer: 1624a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 6 + (180 - (2 + 2 - -2))?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -71 + 68 - (13*-3 + 0). Suppose -5*q + 4*o = -q - u, 12 = 4*q + 2*o. Calculate the remainder when 11 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:09 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 18.946. Let j = 1.986 + a. Let k = j - 1.01. Round k to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920176.\nAnswer: 2, 3, 7, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 15*s**2 - 41*s - 109. Let p = -919 - -902. Let f be y(p). Solve 0 = 2*d - f*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 629 (c) -5 (d) -0.3 (e) 24.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5068, 2, 5, 3, -12, -6 in descending order.\nAnswer: 5068, 5, 3, 2, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272661999.\nAnswer: 3, 163, 557591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*991\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -2, 8, 2 in decreasing order.\nAnswer: 8, 5, 2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 122122212000120?\nAnswer: -122122212000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 18 = 4*y, -16 = -8*h + 12*h - 4*y. Which is the smallest value? (a) h (b) 2 (c) 3\/4 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 25443 + 29385 = 0. Let n = g - -5838. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*q = 20, 0 = -n + q + 3 + 2. Suppose 5*g - 2*g - 4*c - 85 = n, 4*g = -c + 126. Let w = 30 - g. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - -4 - (-1 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*w = -50, 3*h - 8 = -5*w + 24. Let a = -8 + h. Let g(f) = -9*f**2 + f. What is g(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 + 2*f**4 + (2*f**4 - 5*f**4 + 4*f**4)*(2 + 1 - 4) - 7*f - 13*f**4 + 7*f + 0 - 32*f**4 - 2 + 34*f**4 + 2*f.\nAnswer: -10*f**4 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15246 = -260*i + 953*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30962057*k**3*r**2 + k**3*r - 4201883*k**2*r - 1 wrt r.\nAnswer: -61924114*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 3 (c) 0 (d) -5 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -465089140 divided by 116272285?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 36937258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 + a**2 + a - 1. Determine s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*t = -426*t + 4*c + 318, 3*c = -5*t - 781. Is t < -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -246, -357, -470, -585?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 49 = -30*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 35*j = 62*j - 29*j + 284, -20 = 3*u - 7*u + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 divided by -167?\nAnswer: 740\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 5*s**2 - 2*s**2 - 3*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -587, -1083, -1583, -2087?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 1040*h**7\/21 + 1361*h**3\/6 - 23*h + 39. What is the second derivative of z(s) wrt s?\nAnswer: 41600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*h - 58*h = -132*h - 6782 - 4108 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, i: 12}. Give prob of sequence eeee.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27\/2 - -13. Let u = -16 - -16.1. Let f = 3 + -3. Which is the nearest to f? (a) 0 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 - 16*l + 22. Let p(z) = z - 1. Let m(d) = 5*b(d) + 80*p(d). Find the first derivative of m(s) wrt s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.96 - -46.7697. Let l = m - -0.197. Round l to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3487 - 3492. Let v(k) = -k**3 - 3*k**2 + 9*k - 9. What is v(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93845512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83082 = -28*q + 187913 + 173769. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-455)\/(-10))\/13*12\/21. Suppose 12*x - 3*x**r - 16*x**3 + 12*x**3 - 2*x**4 + 13*x**2 = 0. Calculate x.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -10. Let w = u + 7.2. Which is the nearest to w? (a) 5\/4 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4655)\/1519 + (-10)\/(-155).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1, 1\/5 in decreasing order.\nAnswer: 33, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*o + 5, -5*y - 3 = -2*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 4}. Give prob of sequence mm.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 3*c - 4*u, c = -7153*u + 7151*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - z**2 - 12 + 0*z**2 - 6*z. Let b be -9*3\/(1 + -4). Is n(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-260)\/75)\/13)\/(4\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 20, 0 = -5*s + 2*s + p + 124. Suppose 0 = -3*a + 3, -2*o + 0*a + 17 = a. Calculate the greatest common divisor of s and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/13 - 148*b\/13 + 288\/13 = 0.\nAnswer: 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85147.\nAnswer: 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)\/x*x*x)\/x**(2\/7))\/((x*x**(-10))\/x*x**(-3\/2)) assuming x is positive.\nAnswer: x**(527\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*n + l + 2*l, -2*l - 31 = -5*n. Suppose -6 = n*h - 1. Is 10 a factor of h + 0 - -1*11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 2 = u + 5*d, d = -3*u. Which is the nearest to -3? (a) u (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-30))\/((-41)\/205).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 8) to base 4\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/120 - p**5\/12 + p**4\/6 - p**3\/2 - 7677*p**2. Suppose -2*n = -3*o + 2, 0 = 8*n - 4*n + 5*o - 40. Calculate z(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Calculate the remainder when ((-4)\/6)\/(2\/(-30)) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(24*o - 5*o - 7*o)*(-2*o + 0*o - 6 + 0*o).\nAnswer: -144*o**2 - 432*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 5*k - 3. Let u be v(-4). Suppose -3*a = -3*s + u + 5, 0 = 5*s - 4*a - 11. Does 18 divide 6\/(s + (-40)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 9)*(4*v - 6*v + 9*v) as z*v + f and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126064 (base 7) to base 11.\nAnswer: 168a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 246 = -3*s. Let i(f) = 2*f - 4. Let n be i(4). Let p be (-3)\/(-6) - s\/n. Solve -3*g - g = -p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*m + 2048 - 65022 = 0 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150.2 + 150. Let i(z) = -z**2 - 3. Let r be i(0). Which is the closest to 1? (a) o (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122918 bigger than -122868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 177824, 357201, 536578, 715955, 895332?\n\"Answer: 179377*d - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let m be -4 + ((-7 + 22)*(-5)\/(-15) - -4). Let q(r) be the third derivative of 0*r**3 - 3*r**2 + 0 + 7\/60*r**m + 0*r + 0*r**4. What is v(q(j))?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 32. Let l be y(0). What is the highest common divisor of 352 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15 - 2*k**2 - 4*k + 15. Let b(q) = -6*q**2 - 12*q. Let n(s) = 5*b(s) - 14*h(s). Determine n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 3*k**3 - k**3 + (2*k**3 - 7*k**3 + k**3)*(4 - 4 - 2).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 15. Let o be r(-7). Let m = 13 + o. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 5}. Give prob of picking 3 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 12*p - 11. Let j be q(-11). Let b(x) = -2*x - 230000. Let z be b(j). Round z to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - 31.78. Let v = d + 32.03. What is v rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2*p + 4\/3*p**3 - 1\/2*p**2 + 87. Let s(l) = -l**2 - l. Let o be 2\/(-8) - (-13)\/4. Determine o*s(k) + h(k).\nAnswer: k**2 - 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250000 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 50 + 59 + c - 3*c - 2*c**2 to t + g*c**2 + u*c and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118 - -153) + -8 + -5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21*(-40)\/15 - 3. Let c = 25 - r. Let m = c + 70. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3016*m - 57396. Give c(19).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141*-8.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11342 + 3905. Let h = 304898\/41 + m. Calculate the common denominator of h and -22.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23470949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10 + -1 + -6 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 18370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*l + 241*l + 168*l - 5360. Solve 31*g - l*g = 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 5, 3, -1805 in increasing order.\nAnswer: -1805, -3\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 - s**2 + 2*s - 4*s + 157 + 1 - 1 - s**2 - 4*s + s**2 + 4*s + (-2*s - 1 + 1)*(s + 0*s + 0*s) as l + f*s + r*s**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-7\/8)*(b**(-2\/3)*b)\/(b\/(((b\/b**(-2\/11))\/b*b*b)\/b)))**(-19) assuming b is positive.\nAnswer: b**(-6973\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 + 1 - 4*y**3 + 4*y**3. Let p(b) = b**3 + 10*b**2 + 9*b + 3. Let i be p(-9). Let o = -2 + i. What is q(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f + 1. Let k be 1\/3*33\/55*5. Let m(l) = -20*l**3 + 3*l**2 + 3*l - 5. What is k*m(z) + 3*x(z)?\nAnswer: -20*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 14*b. Solve -a + r - 2 = b, -3*a = 3*r - 5 - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*s**2 + 34*s + 20*s**4 - 17*s**2 - 35*s to the form w*s**3 + m*s**2 + j*s**4 + l + y*s and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 4*z - 12. Let f be o(-2). Which is the fourth biggest value? (a) f (b) 0.2 (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w - 4. Let d(p) = 73*p - 31. Let z(t) = -800*t + 340. Let o(f) = 65*d(f) + 6*z(f). What is -4*o(h) - 25*v(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 286\/77)*162435\/6545?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (3 - 7)\/(-4). Let p be (-5)\/(4 + z - 1). Calculate the remainder when 88*(p + -1 + -3) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h - 60*h - 126 = 0. Let v be 168\/h*(-3)\/2. Sort v, -3, 1, 0 in descending order.\nAnswer: v, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 36098*m - 1010846. Give w(28).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 56*l + 86837. Is a(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**(-1) assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o + 5*f - f, 2 = -o + 3*f. Suppose o*c - 92 - 28 = 0. Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -60, -194, -454, -882?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*c + 25 = -15, 2*c - 4 = 0. Suppose -q + d = 7. Suppose g - 12 = -q*g. Solve 2*x - g = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.8535 * 63.6\nAnswer: -372.2826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 13220210?\nAnswer: -13220133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 + 231. Suppose 3*k + 809 = 15*y - q*y, y - 4*k - 172 = 0. Is 33 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127432 is divided by 1181.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30607, 61433, 92259, 123085?\nAnswer: 153911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 t, and 1 k when four letters picked without replacement from hkyyyhyykkkykhkhty.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/6139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 386.543 - 387. Let z = -0.45700197 - h. What is z rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 82, 84, 86?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2. Let u(o) = 3*o - 2. Let v(k) = -k + 1. Suppose -6 = -48*j + 49*j. Let w(d) = j*v(d) - 3*u(d). Give n(w(x)).\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 485380 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 0, 0.1, 11467, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180741?\nAnswer: 3, 11, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d = 66*d - 49. Let x(q) = 445*q + 34. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-100)\/325 + (-280)\/104. Let c(p) = p**3 + 11*p + 2. Let a(i) = 2*i**3 + 10*i + 3. Give j*c(n) + 2*a(n).\nAnswer: n**3 - 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 - -8.99?\nAnswer: -177.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 29*i = 26*i, -6*d + 11 = -5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*v**4 + 7*v**4 + 4*v**4 + 23 - 26*v**4 with respect to v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -33\/2, -649, 0.3 in decreasing order.\nAnswer: 10, 0.3, -33\/2, -649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 9 - 7 - 1. Let w = -3 + 2. Let k(g) = g + 1. Calculate w*u(l) + k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404227 divided by -282.\nAnswer: -404227\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1774, 3548, 5322?\n\"Answer: 1774*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 15. Let v be p(-12). Let x = 3 - v. Solve -4*a - 4*k + 8 = x, 3*a - 2*a + 2*k = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w**3 + 1\/20*w**5 + 0*w**2 - 5 + 0*w + 1\/16*w**4. Factor q(d).\nAnswer: d**3*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(sqrt(104) + 6*3*sqrt(104)))\/(((sqrt(512) - sqrt(512)*2*-3 - sqrt(512) - sqrt(512)) + sqrt(512) - sqrt(512)) + sqrt(512)))**2.\nAnswer: 117325\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2124, -0.4, 0.4, 4.\nAnswer: -2124, -0.4, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49642531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 8. Let h be r(6). Suppose -h = -4*n + 4. Find the third derivative of 0*k**2 + k**4 - 3*k**4 - k**n wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/18*(-2)\/(-8). Let p = -1201.6 - -1205.6. Which is the second biggest value? (a) h (b) 2\/9 (c) p (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a. Let l be f(5). Suppose 3*g + 3*x - 8 - 7 = l, 5*g + 3*x = 19. Let i = 16 - g. What is the lowest common multiple of 18 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 37.23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, i: 1, n: 5, h: 3, w: 1}. What is prob of sequence hwi?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s + 5. Determine w(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -24, -75, -168, -315, -528, -819, -1200?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141\/2*k - 1\/2*k**4 + 217\/2*k**2 - 198 - 39\/2*k**3.\nAnswer: -(k - 3)**2*(k + 1)*(k + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 7636649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*w - 74, 6*w - 180 = -5*o + w. Suppose -o*v = -25*v - 144. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(200) - (5 + sqrt(200) + 1) - sqrt(200))**2 + -4 + -4)*-4.\nAnswer: -904 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -17. Solve -g = -5*g + w - 8, 10 = 2*g + y*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 + c - 1. Let r be v(1). Let g be (r\/(-15))\/((-42)\/10). Let u = 8 + -9. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*g - 23*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 14 = 5*f, -8*k - 4*f - 7 = -3*k. Let s be k*(-1 - -6)\/(-5). Which is greater: s or -5\/79?\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2*(246 - 0). Let v = j - 340. Let t = -107 + v. Calculate the greatest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5694 + -41.\nAnswer: -38.4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5110 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7*n = -15474. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -b04?\nAnswer: -b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 82012 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -551, 0.5.\nAnswer: -551, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/59, -0.02, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -4*v + 36, 2*b = -5*v + 9. Suppose 0 = 5*d - 4*d + 7. Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.74, -5, 22651\/5?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*h - 3 - h**2 - 77*h in the form l + n*h + c*h**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1088) - sqrt(1088)*1) + 0)*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31323, -125251, -281795, -500955, -782731?\n\"Answer: -31308*b**2 - 4*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(45)\/(sqrt(81)*-1 - sqrt(81))))**2 + -3 + 2.\nAnswer: 64*sqrt(5)\/3 + 2315\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/192 and -149\/97800.\nAnswer: 782400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74342 is divided by 23524?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -6.2. Sort -1, n, 0.3.\nAnswer: n, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4804981*g**5 - 140*g**2 + 6*g + 5 wrt g.\nAnswer: -288298860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.03803 microseconds to days.\nAnswer: 0.000000000150903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -68. Is 34 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*b - 58. Calculate the remainder when ((-18)\/b)\/(1\/(-4)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1345 = 2*v + x, -3076 + 381 = 4*v - 3*x. Let n = -267 - v. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181723.\nAnswer: 23, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (1 - -2))*1. Suppose 0 = 3*m + d*m - 20, v + 8 = 2*m. Sort -2, v, 4 in decreasing order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -221, -1, -4\/7, -5?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 30974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(-54)\/90*16\/12\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 221571*k + 577. Let j be s(13). Round j to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = 4*w. Let l be ((-16)\/(-10))\/((-2)\/w). Let n be 7 + -5*(-36)\/(-45). Solve 5*m = l*z + 4, -5*z - 5 = -2*m - n*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 10*g + 15. Let s(l) = l**3 - 17*l**2 - 17*l - 6. Let z be s(18). Let f be p(z). Let k(v) = 2*v**2 - 4*v - 1. Let x be k(3). Sort -3, x, f.\nAnswer: f, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-four fifths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*m**3*t**2*x - m**3*t**2 + 6*m**3*t*x - m**3 + 4*m**2*x + m*t*x wrt t.\nAnswer: 88*m**3*x - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -15\/7 (c) -0.4 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114.6 - 198. Let y = u - -83. Let o be 3\/(-9) + 14\/6. Sort o, -5, y in ascending order.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmvmvmmmmm.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35 and 0.0417358.\nAnswer: -34.9582642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/11 - 16*j\/11 - 14\/11 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-438)\/(-90)) + 644\/(-105).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9685878?\nAnswer: 2, 3, 131, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 5. Let i be d(4). Calculate the greatest common divisor of i and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*o + 143*o + 1679 + 565 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 + 7*j + 23. Let s be h(9). Suppose -3 = s*i + 7. What are the prime factors of (-81)\/(-6) - (-6)\/8*i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -50982?\nAnswer: -50982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdzg when four letters picked without replacement from {d: 1, z: 1, w: 1, g: 1, j: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 800\/393?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 8.\nAnswer: 105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 457 - 462. Calculate the lowest common multiple of 2 and (-3)\/d - (-1564)\/85.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 12*u. Factor 5*r**3 + r**3 + 4*r**2 - 2*r**3 + u*r**3.\nAnswer: 4*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -637744, -1275361, -1912990, -2550637, -3188308, -3826009?\n\"Answer: -u**3 - 637610*u - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 12*x**2 + 12*x + 15. Let t be s(-11). What is the second derivative of t*g + 8*g**3 - 2*g**3 - 5*g + 0*g wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1734.18254 - 0.11746. Round h to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -y - 11*y - 49. What is the third smallest value in 1, -1\/5, 108, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 292164 - 23141. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*53233881\nAnswer: 1597016.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d + 104*d - 33*d - 40*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 146532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from iiqiiqqqqqqqi?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7256 + 7261. What is the third biggest value in -12, -2, g?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + 0*v)*(0*v**2 + 2*v**3 + 0*v**2) + (0*v**2 + v**2 + 0*v**2)*(3*v**2 - 4*v**2 + 2*v**2) + (-4*v**2 + 4*v**2 - 5*v**2)*(v**2 + v**2 + 0*v**2).\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1830 = 10*s - 0*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coso when four letters picked without replacement from ogctogsgot.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 19*z + 3. Determine m(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-16)*(-24)\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068036761 rounded to 3 dps?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:18 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(2 - 1 + 0)*(15 - 13*a - 15).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 8856.\nAnswer: -1\/2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 438*n. Let q(b) = 380*b**2 - 198*b**2 - 183*b**2. Give t(q(z)).\nAnswer: -438*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*8\/66. Suppose -2*k - 4*q = 10, q = -2*k - 0*q - 1. Suppose -k = 5*u + 4. Which is the third biggest value? (a) r (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 39 = 11*f, 4*q + 0 = 8*q - 15 - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 466732007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42389298 divided by -3\nAnswer: -14129766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*w - 2*a - 206, -4*w = 3*a - 262. What is the highest common factor of w and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 45*v + 15. Give z(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 13.8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 9.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58102.\nAnswer: 2, 11, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2149\/11845 - 16\/103. Let a(b) = -2*b**3 - 34*b**2 - 121*b + 184. Let o be a(-8). Is y < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4064 + 4067. Sort 0.3, n, 42, 5 in descending order.\nAnswer: 42, 5, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 18.646068295.\nAnswer: 18.546068295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b - 104*b = -6*w + 78, -5*w + 65 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 8*p**2 - 8*p - 17. Let u be h(6). Let y(a) = 5*a**2 - 16*a + 11. What is the hundreds digit of y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 5*p**2 - 2*p - 7. Let t(l) = -l**3 + 5*l**2 - 2*l - 8. Let i(f) = -6*j(f) + 5*t(f). Give i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115.56909712 + -115.1491. Let l = 5 + -5.42. Let z = l + k. Round z to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9944918, -19889851, -29834784?\nAnswer: -39779717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 16*w - 1. Let z be n(-15). Put z, -2, 1 in decreasing order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h**2 - 6*h - 5. Let a(w) = w**2 - w + 1. Determine 5*a(p) + x(p).\nAnswer: -9*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -5, 3 in decreasing order.\nAnswer: 3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 83*j**8\/4 - j**4\/3 + j**2\/2 - 206*j. Find the third derivative of f(o) wrt o.\nAnswer: 139440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -64. Suppose 3 = -i*y + 5*g + 1, -3*y + g + 23 = 0. Suppose -c - c + 6 = 0. Solve c*a + y + 6 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7001117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67284 and 1596.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.410753 kilograms to tonnes.\nAnswer: 0.008410753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/19773 and 123\/130?\nAnswer: 197730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 3026.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 2451c0?\nAnswer: 2451bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -21, -1\/3, -3\/19, 12?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*s + 236*s - 117*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((19 - 5*y**2 - 19)*(-4*y**3 + 2*y**3 + 3*y**3) - 116*y**5 + 102*y**5 + 2*y + y**4 + 2*y)*(2 - 3 + 2).\nAnswer: -19*y**5 + y**4 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15978 = 4*s - 149986, 5*s - 167528 = 2*l. What are the prime factors of s?\nAnswer: 2, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 - 13*f - 3. Let r(u) = 15*u**2 + 40*u + 8. Let i(d) = 3*r(d) + 8*v(d). Let n(s) = 2*s**2. What is i(n(p))?\nAnswer: 20*p**4 + 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 5 - 2) + -3 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.91 - 7759?\nAnswer: -8045.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10933625 is divided by 911132?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -2, 2, -54, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542 (base 6) in base 4?\nAnswer: -12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(336\/8))\/1*-5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27a9c (base 13) in base 15?\nAnswer: -1704a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(2 - ((-462)\/24)\/(-11)). Which is the nearest to 10? (a) -5 (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396\/50 - 42\/(-525) - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1478, 2965, 4452, 5939?\nAnswer: 7426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {m: 6, v: 1, x: 4, l: 4, k: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4264523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -53, -108, -175, -248, -321, -388?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/10 + 3 - (-6)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*w**2 - 792\/13 - 94\/13*w.\nAnswer: -2*(w + 11)*(w + 36)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 21 - 33. Suppose j*v = -21 - 3. Is -6 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(5*d - 2 + 2) - 15 + 3*d + 15.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -15*a - 14 - 13 + a. Let f(n) = -5*n - 9. Let j(z) = 11*f(z) - 4*u(z). Let i be j(-2). Solve 0 = 2*w - 3 - i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 40945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 48. Suppose -3*n + 56 = -3*l - l, l + 5*n + 14 = 0. Give c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (37 - 0 - 44)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 2\/3 (c) -3 (d) -2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/4983 or 1?\nAnswer: 41\/4983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 969720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-214)\/(-535))\/((-584)\/(-40)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 2*y**2 - y**2)*(139 - 93 + 813*y - 46) to g*y**3 + f + t*y + b*y**2 and give g.\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -3, -5202 in decreasing order.\nAnswer: 4, 3, -3, -5202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -63*x**3 - 4. Let q(h) be the first derivative of -3245*h**4\/2 - 413*h - 3272. Give 413*o(c) - 4*q(c).\nAnswer: -59*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + 0 + 4 - 2 + (-3 + 3 - 2)*(1 - 1 - 1))*(66 - 14*g**2 - 66).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 - 5760*u - 34*u**2 + 46*u**2 - 14*u**4 + 13*u**4 + u**3 wrt u?\nAnswer: -12*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:12 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11011011010?\nAnswer: 11011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2. Let a(u) = 7*u. Let s(m) = -27*m. Let z(o) = 15*a(o) + 4*s(o). Give w(z(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 4*v**2 + v**2 + 0*v**2 + 4*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 187928928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6011, -0.2, -9\/7 in ascending order.\nAnswer: -1.6011, -9\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 600266 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003115258841 to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1395\/(-33480))\/(1\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/12 + 7*k**5\/5 + 73*k**4\/8 + 86*k**3\/3 + 44*k**2 + 32*k + 218. What is x in s(x) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174406531 - -672704968. Let j = k + -498298464.0000049. Let r = -27 - j. Round r to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 5*p - 5. Suppose 0 = -5*o - 5*m - 10, 3*o - 2*m - 4 = -o. Suppose 5 = -b - o. Let f(k) = 3*k + 3. Determine b*f(t) - 3*d(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2812315*l**4 + 3*l**2 - 15*l - 3093 wrt l?\nAnswer: 67495560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -40. Let w(b) = b - a - 1 + 3*b. What is w(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 52. Let m be 2\/5 + u + 36\/10. Suppose 3*i = -0 - m. Put i, 14, -2, 4 in decreasing order.\nAnswer: 14, 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/7 - 1578124794*r\/7 - 207539822119795203\/7 = 0. What is r?\nAnswer: -263020799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11 + z**3 + 4*z - 2*z + 3 - 6*z**2. Let h be y(6). Suppose t - 4 - 3 = -3*i, h*t - 28 = -i. Calculate the remainder when 12 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 - 3*o. Let c(g) = -11*g**2 - 8*g. Let b(y) = -3*c(y) + 8*w(y). Let s(k) = 5*k**2. Give b(s(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71.94 - 2.66. Let i = -75 - a. What is the smallest value in -4, -9, i?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) + (sqrt(1377) - 2*(-4*sqrt(1377) + sqrt(1377))))**2 - (sqrt(102)\/(sqrt(48)\/sqrt(8)) - (4*(sqrt(17) + -2 - sqrt(17)) + sqrt(17))))*2.\nAnswer: -705040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92.99 + 93. Let g = p - 0.11. What is the fourth biggest value in g, -0.5, -20, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**3 + u - 1. Let b be s(1). Let j(d) = -6*d + 3. Let q be j(-5). Let y = q + b. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*m - 19*m + 91. Let h = 1 + -1. Is m >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2728, -4\/13, -0.3?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.44 in 0.3, -3, -24\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Suppose -8*n + t*n = -15. Suppose -n*f + 39 + 3 = 0. Calculate the highest common factor of f and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = 5*h - 5*w, 0 = 3*h - 5*w + 1. Solve h*s - 5*s = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*z + 60*z - 555*z - 161*z + 198*z - 1 in the form s + v*z and give v.\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-216)\/(-321))\/6)\/(1 + -3). Let a = 232\/321 + l. Which is smaller: a or 6\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 384.05 - 435.872. Round a to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -342*i**2 - 26 - 367*i**2 - 17 + 10 - 4*i - 28 wrt i.\nAnswer: -1418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 4:12 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven sixteenths of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -17*o + 1425. Let q = 90 - o. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1517, -5056, -10617, -18200, -27805?\nAnswer: -39432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, z: 2}. What is prob of sequence rrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-3)*35208\/815. Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Is 599\/d + (-12)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 491*y - 37622. What is u(95)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 33811 - 20629 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 1\/2, -128, -5, 6\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 14*z + 91. Let v(i) = 14*i + 93. Let w(s) = 5*d(s) - 4*v(s). Find the first derivative of w(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65445 - 65445. Let g be (-8)\/(-18) + (-2)\/6. Let s = 2 - -7. Which is the fourth smallest value? (a) g (b) j (c) 3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -2.36.\nAnswer: 5.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 516512, -9.\nAnswer: -9, -2, 516512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let q = 13 - a. Let w(i) = i**2 - 4*i - 2. Calculate the lowest common multiple of q and w(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/72 and -35\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let y(v) = 4*v + 4. Let b be y(3). Let j = b - 13. Let x(z) = -j + 3 + 10*z. Give x(o(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-5)\/(-25)*-5 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = u + i + 3, -5*u - 5 = 5*i. Calculate the least common multiple of 6 and (-7 - 4)\/(u + 1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 p when four letters picked without replacement from qqqqqqpqqqqqq.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13285*n**2 + 20*n + 20. Let h(m) = 6643*m**2 - 11*m - 11. Let a(j) = -11*h(j) - 6*o(j). Is a(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbw when three letters picked without replacement from {r: 4, b: 4, w: 9}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(208125\/135)*10.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 8*h**3 + 10*h**3 + 12*h**3 - 65*h**3 + 16*h**3 - 2.\nAnswer: -19*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d - 35. Let i be c(0). Let f be i\/5 - (1 - 3). Which is bigger: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebeewqwes. What is prob of sequence sq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -26*p + 30*p. Suppose -3*f - 4*o - 774 = 0, -o = f - 6*f - 1290. List the prime factors of ((-4)\/8)\/(p\/f).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/3 - 121495*n\/3 + 60858976\/3 = 0. Calculate n.\nAnswer: 503, 120992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3}. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3442, -3439, -3434, -3427, -3418, -3407?\n\"Answer: v**2 - 3443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0018 - -1.0018. What is the second smallest value in c, -209, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 452\/5. Let r = l + 1\/15. Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/24 + u**3\/6 - 2*u**2. Let r be m(-1). Let d = -3 + r. Sort d, -1, -4.\nAnswer: -4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216)*-1 + 4 - sqrt(1216)) + sqrt(1216) - 2*sqrt(1216)*-1) + -5 + -4.\nAnswer: -5 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**3\/12 - 55*l**2\/8 + 35*l - 3505. Determine y so that i(y) = 0.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 629, 617, 605, 593, 581?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p + 3*w - 28, -3*p + 4*w = 4. Suppose 0*z = p*z - 112. Suppose -2*s = -s + 5*f - z, -38 = -2*s - f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1306606 and -1306606 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from {n: 4, c: 1, r: 2, u: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 24 - (-5)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496 and 20.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 2398*b - 5*b**2 + 2*b**2 + 16 + 2400*b. What is the remainder when 16 is divided by p(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.6 + 5.6. Which is the smallest value? (a) w (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/5, -1 in decreasing order.\nAnswer: 8, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + n. Let i be s(-1). Suppose 5*k + 3*j + 16 = 0, 1 = -i*j - 5. Put k, 0.5, 1\/3 in decreasing order.\nAnswer: 0.5, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4930 + 4932. Put 6, 38, 3, j, -0.2 in decreasing order.\nAnswer: 38, 6, 3, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123640)\/(-4215)*45\/40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -31*z + 73. Let s be (-77)\/(-22) - (2 - z\/8). Solve 2*l - 8 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*49\/420*10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 11*r - 25. Are -5 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cc0 + -4?\nAnswer: -cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5429\/703 + -276\/37. Let s(q) be the first derivative of 6 - 2\/95*q**5 - 22\/19*q**3 + x*q**4 + 40\/19*q**2 - 32\/19*q. Let s(i) = 0. Calculate i.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-1500)*(-32)\/64?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u - 23. Let k(o) = -3*o - 6*o + 4 + 3*o + 5*o. Let v(i) = 34*k(i) + 6*r(i). What is the derivative of v(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/48)\/((-3)\/3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241724 and 56?\nAnswer: 483448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/4 - 595*w**2\/2.\nAnswer: 5*w**2*(w - 238)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 1. Calculate n(24).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 775*s**2 - 25935*s + 249165.\nAnswer: -5*(s - 113)*(s - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*a**5*t**2 - 231*a**5*t - 25*a*t**2 - 4*a*t - 3*a - t wrt a?\nAnswer: -600*a**3*t**2 - 4620*a**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.479671 rounded to 2 dps?\nAnswer: -2.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -360392 + 26?\nAnswer: -360367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*w**3 - 119797*w**4 + 119855*w**4 - 375*w - 4*w**3 - 3 wrt w.\nAnswer: 696*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -x - 297. Calculate the remainder when 98 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.7. Let h = 5\/8 - 1\/8. Which is the second smallest value? (a) h (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 698*j - 8 + 139*j - 1 + 3. Let w be h(4). Is w\/4*6\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2497.2 - -0.5?\nAnswer: -2496.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 10:30 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1416 and 61\/2.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g*g*g**(-3))**11\/((g\/g**(-5))\/(((g**(6\/5)*g)\/g*g)\/g)*g**(-2)\/((g\/g**(4\/3))\/g)) assuming g is positive.\nAnswer: g**(-722\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 464398465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*s - 2*m = -388*s + 16, -2*s - 11 = 3*m for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 303822?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*x + 210999 = -111*x + 5*g, 3*x - g - 210981 = 0. What are the prime factors of x?\nAnswer: 2, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29659 by 133.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2) - (-1 + 3 - 2). Is (-8793)\/(-12) + 3\/36*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522 (base 7) in base 3?\nAnswer: 1022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -591 - -1 - (0 + 2 + 0). What is the units digit of l\/(-10)*(75\/(-10))\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let s(x) = 2*x - 2*x + d + x**3 + x - 2*x**2. Is s(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 119 = -22*u. Let n(d) = 13*d**2 - 2*d. Let h be n(-9). Let v be ((-6)\/9)\/((-6)\/h). What is the highest common factor of v and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, 11, -154?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*s + 1091 + 93 = -147*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (-53 - -145 - 67)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210196817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 4. Let a = 10168 + -10170. What is k(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.7, -3\/5, -6\/19, 4, 384?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 2*c - c + (-4*c - 5*c - 4*c)*(12 - 88 + 29) + 4 - 4 + c in the form v*c + o and give v.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let m = -285 - -288. Suppose 4 = -u - 0. What is the nearest to u in -0.2, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -10, -2 in descending order.\nAnswer: 135, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-10\/11)\/((v\/(v*v**(-9)*v))\/v**12))**(-40) assuming v is positive.\nAnswer: v**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 1\/4349, -2, 1.5, 5\/7?\nAnswer: 1\/4349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -43*g**8\/168 - 17*g**5\/30 - g**3\/6 + 161*g**2. Find the third derivative of b(j) wrt j.\nAnswer: -5160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-693) - (-12)\/(-14)*(-10)\/(-15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 626, 918, 1210, 1502, 1794?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -87695486748 and 0.6.\nAnswer: -87695486747.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-86)\/7 - 4\/(-14). Let u be 1*3*8\/n. Does 7 divide (u\/(-2))\/(4\/148)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1239871.2 - -3.\nAnswer: -1239868.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*s + 24 = 0, 2*s = -6 + 14. Solve 4*j + 8 + a = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34517 is divided by 1724?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -26. Let g(z) = 10*z**2 + 2*z + 2. Let v be g(-3). Let b = f + v. Calculate the remainder when b is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 125 = 61 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.332294 millimeters?\nAnswer: 0.4332294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(3\/4)*g*g**(-4\/9)*g)\/(g\/g**(-2\/9)*g\/g**(2\/7)))**(-35))**45 assuming g is positive.\nAnswer: g**(-2325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 239384 = 3*j + j, -5*j + 4*x - 299230 = 0. Let k = -132138 - j. Let b = 15292 + k. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 3*l - 4. Let j be ((-273)\/(-728))\/(6\/32). Let s(w) = w**3 + 2*w**2 - 10*w + 13. What is j*s(g) + 7*h(g)?\nAnswer: 2*g**3 - 3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + (-6 - (-41 + 47))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Let s be 6 + (-2 - o - 1). Suppose 3*w + 4 = 4*c, -s*w - 2 + 1 = -c. Solve 2*k - 1 = -2*n + c, 5*n - 6 = -4*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-618 + 405*v - 614 + 1232)*(2*v**2 + 1 - 1).\nAnswer: 810*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24840 and 7?\nAnswer: 173880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 2*y**2 - 8*y - 2*y**2 - 2*y**2 + 10. Let j be p(7). Find the third derivative of -4*n**3 + j*n**3 - 3*n**4 + 2*n**2 + n**3 wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:12 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622467.\nAnswer: 271, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*s - s**3 + 2*s**4 + 4*s - 3*s**4 in the form k + m*s**4 + f*s**2 + z*s**3 + u*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/3, 13, -4, 18, 0.04?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:30 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4027338*d**3*u**2*w + 5914*d**3*u*w + 2*d**3*w - 8*d*u**2*w**2 + 1354*d*w**2 wrt u.\nAnswer: -8054676*d**3*w - 16*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 23*p**3 + 2*p**2 - 6*p + 7. Let c be ((-2)\/(-8))\/((-21)\/24 - -1). Is u(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -30*j**3 + 314*j**2 - 136*j - 14. Give u(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k = -8*k - 4620. Is 55 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-80)\/30)\/(6\/(-45)). What is the lowest common multiple of ((-35)\/t)\/((-2)\/8) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1485 and 354321?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**4 + 48*g**3 + 165*g**2 - 216*g = 0.\nAnswer: -9, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -20*d**2 - 3676*d - 3675. Calculate v(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 577777 and 6439193.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**3 - z. Let h = -5971 + 5968. Let u(y) = 39*y**3 - 2*y. What is h*u(x) + 8*n(x)?\nAnswer: -13*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 209, 122, 29, -70?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3676 at least as big as 720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1715 and 9453080?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3770094423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-3 + -10)) + 14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(6\/(12\/4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w - 4*h, -2*h + 16 = 3*w + 2*w. Let a = -17 + 18.2. Let r = -2.8 - a. Put r, w, -1 in decreasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 13. Which is the closest to g? (a) -3 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let f be ((-2)\/4)\/((-3)\/6). Let s(q) = q + f - 1 - 2*q. Give i(s(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73c71 (base 13) in base 14?\nAnswer: -5606a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22314, 178349, 601728, 1426077, 2785022, 4812189, 7641204?\n\"Answer: 22271*o**3 + 46*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/8 + 213*h**2\/2 + 5835*h\/8 + 2493\/4.\nAnswer: 3*(h + 1)*(h + 6)*(h + 277)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 676, 684, 680, 658, 612, 536?\n\"Answer: -l**3 + 15*l + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -35. Let i(h) = -2*h**2 + h - 2. Let x be i(2). Is j less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4045 is divided by 144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971020?\nAnswer: 2, 5, 47, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*7.6118.\nAnswer: 0.38059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -24*f**2 - 2*f - 1. Determine k(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*b + 7*b**3 - 229*b - 6*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, o: 4, p: 1, z: 2, q: 4}. Give prob of picking 1 q, 2 i, and 1 p.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 75*p + 15. Let s(w) = -w**3 + 14*w**2 - 37*w - 11. Let y be s(10). Calculate the remainder when a(y) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 63*x - 180. List the prime factors of q(14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -385, -2793, -9295, -21937, -42765?\n\"Answer: -341*n**3 - n**2 - 18*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 0*q + 0*q)*(22*q**2 - 382*q + 382*q) in the form d*q**4 + r*q + c + a*q**2 + k*q**3 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/35 - 2418\/(-15). Suppose -5*f + 4*u + 74 = 0, 4*u = 8*u - 16. What is the greatest common factor of f and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/20)\/(18\/15). Suppose -5*u + 0*y + y = -93, 4*u + 3*y = 82. Which is the second biggest value? (a) -3 (b) u (c) l (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 4*w**4 - 5*w**4 + 2*w**4 + 3*w + 4*w**3 in the form n*w**3 + z + j*w**4 + k*w**2 + v*w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 0.9, 12534, 0.2, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {z: 3, k: 3, f: 1, j: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 2*m**2 + 3*m**2 + (m**2 + 1 - 1)*(11 - 88 - 31) to l + u*m + h*m**2 and give h.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1498 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 5, n: 3, d: 1}. What is prob of sequence hd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o\/((o*o**(-1\/6)\/o*o)\/o)*(o**(6\/11)*o*o)\/(o*o*o\/(o**(-9)\/o)))**(-11) assuming o is positive.\nAnswer: o**(811\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence env when three letters picked without replacement from vnvvineiivk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6050037, -6050034, -6050029, -6050022, -6050013, -6050002, -6049989?\n\"Answer: g**2 - 6050038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13241 + 13240.8. Which is the third smallest value? (a) -230 (b) -0.1 (c) 3 (d) 1 (e) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6947822?\nAnswer: 2, 7, 47, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6649 + 2247 = -278*b for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 2*u**2 + 2. Suppose -c - c = 6, z - 3*c - 11 = 0. Let k(w) = -3*w**3 + w**2 - 347*w - 6*w**z + 347*w - 5. Calculate 3*k(j) + 7*v(j).\nAnswer: -2*j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 21 = 0. Suppose -4*y = -8*y + 16. Suppose y*p = -h + 2*h + 201, -2*p - 5*h = -73. Calculate the highest common factor of s and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -83. Suppose s = 5*o - 11, a*o + 0*s + s = 13. Suppose 8*q - 15 = 3*q, 2*l = o*q + 51. What is the remainder when 117 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476712129.\nAnswer: 3, 2677, 59359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 862.51 - 283.46. Let w = 573 - u. What is w rounded to 1 decimal place?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Let n(w) = 33*w - 17*w + 2 - 17*w. Let g = 6 - 1. Let f(i) = 3*i - 5. Let r(m) = g*n(m) + 2*f(m). What is z(r(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**2 - 7*l + 6*l**2 + 933 - 22*l**2 - 931 + l**3. Suppose 5 = -2*m + 15. What is y(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.88294 weeks in minutes?\nAnswer: 976580.0352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834719741.\nAnswer: 37, 43, 73, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, x: 6, k: 1}. Give prob of picking 2 l, 1 x, and 1 k.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let k(j) be the second derivative of 16*j**4\/3 + 63*j - 2. What is k(o(i))?\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 10*k**2 + 21*k - 102. Determine y(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 13*p + 13. Let q(t) = t**3 - 10*t**2 - t + 17. Let a be q(10). Let b be c(a). Let i = 64 + b. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 43 - (5\/(-5) - 4). Suppose -5*g + k + 12 = -5*j, 51 = 5*g + 4*j. Suppose -36 = g*p - 14. Let m(b) = b**3 - 4*b - 3. Determine m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 7*b**3\/6 + 41*b**2\/2 + 3*b + 23. Let f be t(-5). Solve 3*w - 15 = -2*i - f, 5*w + 3*i = 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.03 - -173?\nAnswer: 164.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01151 rounded to four decimal places?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35219 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538 + 7630 = 601*u + 1000 - 3852 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 328*s**4*v + 26*s**3*v + 2*s*v - 358607*v wrt s.\nAnswer: 1312*s**3*v + 78*s**2*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*z + 18 = -176*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*q**2 - 69*q - 36.\nAnswer: -3*(q + 1)*(11*q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 926 + 1?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*q**3 + f*q + f - 7*q**3 - 3 wrt q.\nAnswer: -12*f*q - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a**2 + 56*a**2 - 23*a**2 - 17*a**2. Let f(x) = 9*x**2. Calculate f(g(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-20)*0*3\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/9, 5, -4, 4, -180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104730 - 34?\nAnswer: 104674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 1\/2, 3, -0.3, 475, -2\/7 in decreasing order.\nAnswer: 475, 101, 3, 1\/2, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -7*f - 4*l - 20, -3*f = 8*l + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35861115?\nAnswer: 3, 5, 113, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1549 - 3423492839.\nAnswer: -3423494388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4174 + 4013*y - 2488*y + 7418*y + 1134 - 4157 with respect to y.\nAnswer: 8943","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = x. Let r(d) = 2*d**3 - 5*d**2 + 10*d + 4. Let w(p) = 5*p**3 - 10*p**2 + 21*p + 9. Let h(l) = x*w(l) - 7*r(l). Let y = 13 + -19. What is h(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114 and 0.0652962.\nAnswer: -7.4437668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 + 39 = 4*w, 0 = 4*r - 5*w - 4. Calculate the lowest common multiple of r and 1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -0.11413?\nAnswer: -0.11413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2848 less than -39584074?\nAnswer: -39581226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29415 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 2. Let k = -438 - -442. Suppose k*f - 20 = 10*j - 8*j, -f + 23 = -5*j. Solve -11 + f = g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*(2*sqrt(500) + sqrt(500)) - sqrt(500)))**2 + 1 + (((sqrt(500) - -6*sqrt(500)*1) + (sqrt(500) - (sqrt(500) - sqrt(500)*-2)) + -1)*-5)**2.\nAnswer: -3140*sqrt(5) + 440530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = -2*h, h = -3*q - 4*h - 44. Let j = 4 + q. What is the units digit of ((-52)\/8)\/(2\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4878488 (base 10) in base 11?\nAnswer: -283230a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -13 (b) 2\/19 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*r + 3*z + 2, 3*z + 13 = 2*r. Suppose -r*l - 2*l + 64 = -4*f, 4*l - f - 58 = 0. What is the least common multiple of l and 6\/4*28\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 1, n: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((63\/14)\/(15 + 0)). Suppose -6 = -m*h + 7*h. Factor 4\/5 - 2\/5*u**h - 2\/5*u.\nAnswer: -2*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17289560 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 296, 322, 348?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 - 5*k + 2. Let h be b(4). Let f be 0\/((-1)\/h*-2). Suppose 7*m - 31 + 10 = 0. Solve f = m*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 25 - 26 - 4*v + 9.\nAnswer: -4*v - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 414 times -4\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*j = -19 - 2, 5*j - 3 = -3*v. Let d(q) = q - 3. Suppose -2*p = -0*p - 5*y - 35, -2*y = -2*p + 20. Let k be d(p). Solve -k = -4*h - v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-5))\/(106\/742*14\/10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*o**3*r + 1930*o**3 - 2 wrt r?\nAnswer: -55*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 4*(-2*sqrt(78) - sqrt(78)))\/(sqrt(486)\/sqrt(9)).\nAnswer: 13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -860 (c) -10230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)*(-3)\/15. Solve 5*z + 197 - 207 = r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 17*y + 9. Let c be d(9). Suppose c = -24*x + 2354 + 550. Calculate the remainder when x is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*i - 21*i - 132 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 + 3*h + 3. Suppose 384 = 59*k + 148. Let c(g) = -4*g**2 + 2*g + 2. Determine k*c(y) - 3*d(y).\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f - 9*f - 12*f - 17*f - 8*f + 66*f - 4*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -29, -55, -97, -161?\n\"Answer: -v**3 + v**2 - 12*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124545 and 32821759?\nAnswer: 492326385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*l + 76 - 89, -5*y + 16 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23234 times -105?\nAnswer: -2439570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 + 2*i**3 + 8554*i**2 + 36807*i wrt i?\nAnswer: 36*i**2 + 12*i + 17108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/5 + (1 - (17 - 9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*4 + 14070\/(-469)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/7 - 2\/7. Let b(u) = -u - 6. Let r be b(-10). Let d be (r + 0)*2\/8. Let t(p) = -p**3 - p**2. Let h(f) = -3*f**3 - 7*f**2. What is d*h(a) + j*t(a)?\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/((-30)\/(-12))*251\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1278, 4, 6, 18, 3, 2 in descending order.\nAnswer: 1278, 18, 6, 4, 3, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -859 or -839?\nAnswer: -859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, -5, 4 in descending order.\nAnswer: 26, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 2a1?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17018 - 7233. List the prime factors of b.\nAnswer: 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.13049 months to years.\nAnswer: 17.8442075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 1\/(1\/2). Suppose -f*v - 3*t - 156 = 0, 2*v - 3*t = -0*t - 144. What are the prime factors of v\/(-27) - (-4)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106871 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooonocoaocton. What is prob of picking 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 151267650089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 4. Is j(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6076, 5940, 5808, 5680, 5556?\n\"Answer: 2*f**2 - 142*f + 6216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3 = -529*w + 531*w, 0 = -o + w + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/1848*y**8 + 0*y**4 + 0*y**5 + 0*y - 1\/1155*y**7 + 0*y**6 + 0 + 0*y**3 - 2*y**2. Factor z(g).\nAnswer: -2*g**4*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 2*v. Let z(m) = -536*m**2 + 5*m. Let c(k) = 15*p(k) + 5*z(k). What is the second derivative of c(y) wrt y?\nAnswer: -5420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4854 divided by -3.\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012844 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*2)\/((sqrt(864) - (1*sqrt(864) - sqrt(864))) + sqrt(6)) - (sqrt(90)*-5)\/(sqrt(200)*1).\nAnswer: 83*sqrt(5)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1099400 and 98396300?\nAnswer: 196792600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -63\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 h, and 1 k when four letters picked without replacement from bxkhxxxxxxbbxkhbhx.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 21*p**2 + 88*p + 1085. Calculate v(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 9. Suppose -5*m = t + t - 45, m + t = 12. Let v = m - 3. Let b be c(v). Solve -1 + 4 = -b*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -q - 7 = 4*c, q - k*c - 13 = -2. Let j(n) = n - 4. Let p be j(4). Solve 5*t = -p*f + q*f, 0 = 4*t - f + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005447763 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/5)\/l)*l**(-3)\/l*l)\/((l*(l*(l**(2\/13)\/l*l)\/l*l*l)\/l)\/l**(2\/5)) assuming l is positive.\nAnswer: l**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.17 (b) 5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 13. Let j(t) = t**2 + 18*t + 35. Let q be j(-16). Let g be r(q). Let d = -0.2 - -4.2. Which is the nearest to g? (a) 3 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*-6*2*(-1 + sqrt(17)))**2 + -3.\nAnswer: -194403 + 21600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/864)\/(1\/((-10)\/(-35))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644238 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.7. Let q = -153.5 - -153.8. What is the third biggest value in 1, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -411 + 35. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3695, 0.5, 0.1?\nAnswer: -1\/3695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1109*z**5 + 13*z + 28?\nAnswer: -22180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 + -10 + 1 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g. Let i(k) = 1150*k - 36. Calculate o(i(z)).\nAnswer: 10350*z - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/11 (b) 2 (c) 4\/5 (d) -8\/9 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)\/(n\/(n**(-3)*n)))**(-50)*(n\/(n\/n**(-1\/4))*(n**(-6)\/n)\/n)**29 assuming n is positive.\nAnswer: n**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*q - 0*q + 55, 4*q - 75 = 5*r. Suppose -q*o + 1348 = -292. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7470322 (base 9) to base 11\nAnswer: 2294132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + d - 7. Let n be (2\/5)\/(3\/45). Suppose 7 = -5*o + 2*b, -2*b + 1 = -o + n. Let t(p) = p**2 - p + 4. Calculate o*l(r) - 5*t(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-12\/7)*i)\/i**(-2))**(-38) assuming i is positive.\nAnswer: i**(-342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38339600 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1377283*d**2 - 8273347*d?\nAnswer: 2754566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**6*u*u)\/u)*(u**0*u)\/u)\/(u\/(u\/u**8)*u**(2\/21)*u) assuming u is positive.\nAnswer: u**(-317\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f*f*(f\/(f*f**(-4)))\/f)\/f)\/(f**(1\/58)*f)*f**(-3\/4)*f\/f**(-4)*f)**46 assuming f is positive.\nAnswer: f**(27301\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 135?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171079609 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 the remainder when 819 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 9. Let i(o) = 2*o - 4. Let v(c) = 9*i(c) - 4*y(c). Let r(d) be the second derivative of -2*d + 0*d**3 + 0*d**2 + 1\/6*d**4 + 0. What is r(v(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 5. Let c be u(-7). Suppose 1 = -c*b + b. Let h be b\/(-2) + (-9)\/(-6). Put -5, -1, h in increasing order.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 3*t**3 + 0 - 2 - 2*t**3. Let n be z(3). Let u be n\/6 - 6\/9. Solve -1 + 9 = u*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203460727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1774 (b) -4 (c) -5924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 25 = -3*h, -23 = 3*h - 4*r - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430777254 take away -124.5?\nAnswer: -2430777129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -100601124\/11 smaller than -9145556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -186 and -2058\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Let c(u) be the second derivative of -u**5\/20 + u**4\/6 + 2*u. Let y be c(2). Solve y*i = -i - t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 4778*f**2 + 40 - 1896*f**2 - 2953*f**2.\nAnswer: -71*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/c*c*c\/(c*c**(2\/5)))\/(c*(c**(-2\/3)\/c)\/c*c**(-2)*c)*((c**(1\/2))**(-1\/22))**(1\/16) assuming c is positive.\nAnswer: c**(25841\/10560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*q**2 + 629*q**3 + 639*q**3 - 1263*q**3 + 35*q.\nAnswer: 5*q*(q + 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223571721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 314940359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-25))\/4*1535. Let u = f + -195. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 22 = 14*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 23*x**4\/12 + 2*x**3\/3 - 3*x**2 - 2*x. Let z = -2071 - -2080. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -10, 0.0074, 39?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n + 4 = 3*g, 4*g - 28 = -3*n. Suppose 2*z = n*a + 16, 0 = 2*z + 2*z - a - 11. Is 8\/5 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 1, g: 1, k: 1, d: 3}. Give prob of picking 1 o, 1 d, and 1 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6128.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h + 2. Let l be y(8). Suppose m = 6*m + 25, -27 = -l*i + 3*m. Calculate the greatest common factor of i and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g + 340. Let y be t(57). Let d(p) = p**2 - 2*p - 4. Determine d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c**3)\/c)*c)**(7\/8)\/(c**(-2\/19)\/(c\/(c\/(c\/c**(2\/25))))) assuming c is positive.\nAnswer: c**(487\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2420ce3?\nAnswer: -2420ce3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -38, -34, -24, -8, 14, 42?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5370 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -1\/5*v**2 + 2\/5*v + 4\/5 - 1\/10*v**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imh when three letters picked without replacement from emimhmemhh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)*v**(-17\/2)*((v**24\/v)\/v*v)\/(v\/v**(1\/15)*v*v*v) assuming v is positive.\nAnswer: v**(337\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 3, a: 5, k: 1, n: 7, h: 2}. Give prob of picking 1 h, 2 f, and 1 k.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**4\/10 - 2*j**3\/15 - 2*j**2\/5 - 1. Factor h(w).\nAnswer: 2*w*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17791 is divided by 17777?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:47 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**0*w))\/w)\/w)\/w**(-1)*((w*w**(2\/11)*w)\/w)\/((w**(-1\/6)\/w)\/w) assuming w is positive.\nAnswer: w**(155\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1813392129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 5*n + 2. Suppose 30 = -5*k - 3*a - 0*a, -5*a - 6 = k. Calculate the least common multiple of q(3) and 10\/(-15) + (-28)\/k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1095183215.49999941 + -1095183222. Let c = 6.5 + j. What is c rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + x = -2*u - 14, -2*u - 2 = -x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03788161168 - 0.3.\nAnswer: -0.33788161168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-6)\/(-2 - 0). Let k = a + 5. Suppose 27*z = 23*z - 16, -4*y + 52 = -z. What is the lowest common multiple of y and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 192*y - 1909. What is u(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 20, 33*v + 5*z = 37*v + 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r. Let n(z) = -2*z - 12. Let k be n(-9). Solve r = 4*c + 20, -c - 11 - k = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*b - 22. Let a be 2 + 3 - 2 - b. Suppose a = -5*i + 20, -i + 45 = 4*z - 35. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2569 - 2561. Let v be (-2)\/(-6) + 2\/(-6). Solve -u + 4 - k = v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 2\/9, -2, 0 in descending order.\nAnswer: 2\/9, 0, -2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70490 is divided by 538.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14 = -j, 660*j - 662*j + 5*f + 11 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -57 + 17*p + 8*p - 56 + 105. Let a be f(1). Let x = a - -29. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344787 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*m = 119*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 3)*195\/(-25). Suppose 0*h = 2*h - 4, -2*g - h + 156 = 0. Let x = g + y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 7*s + 5. Calculate the lowest common multiple of 10 and c(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 872\/21 + -3268\/105. Factor -2\/5*w**2 + z*w - 338\/5.\nAnswer: -2*(w - 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let j(l) = -4699469*l. Determine y(j(d)).\nAnswer: -44170017763922*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20 + 36*g**3 - 31*g**3 - 20. Let b(p) = 4*p**3. What is -6*b(h) + 5*v(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 460\/(-836) - 4\/(-22). Let b = v - 1435\/76. Calculate the common denominator of b and -29\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysysyy. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqohqoq. What is prob of picking 1 h and 2 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-4 - 7) + (-5 - -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.055 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 + -53. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 11*l - 48, 4*r + 0*r = 3*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.52 + 0.12. Suppose -3 + 17 = 7*k. Suppose 1 = k*b - 1. Sort g, 0.01, b, 2.\nAnswer: g, 0.01, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - g**2 - 22*g + 56. What is w(0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45615\/22 greater than or equal to 2074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -247960, -247973, -247988, -248005, -248024, -248045?\n\"Answer: -d**2 - 10*d - 247949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -13. Let w = h - 2. Let m = -6.1 - w. What is the third smallest value in m, -8\/3, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8366.572 tonnes?\nAnswer: 8366572000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 2, s: 2, d: 1}. What is prob of picking 1 h and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8098 * 0.2.\nAnswer: 1619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, i: 5}. What is prob of picking 2 p and 1 i?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -655 divided by 6\nAnswer: -655\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.09 in 5, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -28*i**3\/3 + 563. Let n(w) be the third derivative of w**5\/10 - 28*w**2. Calculate u(n(a)).\nAnswer: -1008*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-27)\/15)\/((-70)\/700)*-2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 41\/(-287) - (0 + (-6763)\/7). Find the first derivative of 0*p - j - 798 + 1959 - 2*p - 2*p**2 wrt p.\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13708693 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*j - 5*k - 18, 0 = 4*j + 5*k + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(180) + -2) + sqrt(180) + 1.\nAnswer: -9 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 3}. What is prob of sequence ccc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 2:48 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5*c**3\/6 - 17*c**2\/2 + 3*c. What is the tens digit of x(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242950 - 99945. Suppose -t = r + 416995. What is r rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 15*g**2 - 264*g - 2338. Give y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 121248 + 8011 = 0. What are the prime factors of m?\nAnswer: 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 10*a = -2*a. Suppose -2*v = -5*v - 9. What is the nearest to -1 in v, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 = -166. Let h = 23 - d. Suppose -u + 17 = -0*u + 4*r, -5*u - 5*r + h = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let p(o) = -8*o**2 - 3*o + 1 + 0 - 1. Let v(n) = n. Let l(t) = p(t) + 3*v(t). Give l(k(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -379. Suppose -2*w + 0*w = 542. Let v = w + p. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 9\/8 in descending order.\nAnswer: 9\/8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 1, w: 1, i: 1}. Give prob of picking 1 i, 1 w, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/40 + u**5\/60 + u**4\/8 + 5*u**3\/6 - 213*u**2. Let o(h) = 2*h**3 - 2*h - 3. Calculate 5*o(m) + 3*v(m).\nAnswer: m**3 + 3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/(b\/b**(2\/5)))\/b*b)\/((b*b**2\/b)\/b)*(b**(-1\/5)*b)\/(b*b*(b\/((b**(-1)*b)\/b))\/b) assuming b is positive.\nAnswer: b**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + k**4 + 2*k**4 + (165*k - 103*k - 139*k)*(0*k**3 + 4*k**3 - 3*k**3) + k**2 + 2*k**4 - k**2 + (2*k + 0*k + 0*k)*(2*k**3 + 0*k**3 - 4*k**3).\nAnswer: -78*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + 9.18. Let g = -11 + m. Let s = 1.95 - -0.05. Which is the closest to -0.1? (a) -0.1 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61405272 divided by 3.\nAnswer: 20468424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000228427491 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81615759941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, b: 6}. What is prob of picking 3 y and 1 b?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - 1. Let i = y + 40. Differentiate -11*g**i + 0*g**4 - 4 - 12*g**4 wrt g.\nAnswer: -92*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*o**4 - 4*o**3 - 108*o**2 - 8*o wrt o.\nAnswer: -1224*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1396, 1392, 1388?\n\"Answer: -4*p + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -2 - (1 + -1 + -4). Suppose 4*w - 9 = u, c*u + w = -2*w + 40. Let n = u - -43. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 4*m**2 - 4*m + 3. Let x(i) = -4*i**3 - 3*i**2 - 3*i + 6. Let v(k) = -3*t(k) + 2*x(k). Calculate v(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 11. Let p(r) be the third derivative of r**6\/120 - r**5\/60 - 11*r**3\/6 + 7*r**2 - 4. Is p(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = s + 6. Suppose -4*j - 12 = 8, s*b + 12 = -3*j. Solve -9 = -2*o + b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/630 - k**6\/90 + 3*k**5\/20 + 17*k**4\/36 - 28*k**3\/9 + 14*k**2 + k - 32. Determine z, given that p(z) = 0.\nAnswer: -7, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3)*t)\/t*t)\/t*t*t\/(t**(-3\/2)\/t)*t)\/(t**(-1\/4))**(-5\/7) assuming t is positive.\nAnswer: t**(65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -370*o + 1344 - 9854 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k**2. Let d(j) be the third derivative of -125*j**4\/8 + 12542*j**2. Determine r(d(o)).\nAnswer: -1546875*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 10*z - 2*z)*(-3*z**4 + 2*z**4 - z**4) + (-3*z + 3*z - 2*z)*(-z**4 + 0*z**4 + 3*z**4).\nAnswer: -22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.8753 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82194654?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 7 + 6*a**3 + 7 + a**2. Let h(j) = j**3 + j. Let s(o) = -b(o) + 5*h(o). Let d be s(0). What is the third smallest value in -1\/9, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 0, -3\/17, 4, -0.161?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/23)*x**(-3\/5)\/x)**(-39\/5)*(x\/x**1)**(-3\/13)*x**(-1\/4)*x**5 assuming x is positive.\nAnswer: x**(41189\/2300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 39*z - 247. Give y(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 8:14 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16727276 times 3?\nAnswer: -50181828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/20 + j**5\/20 - j**4\/4 - j**3\/2 - 7*j**2. Find k, given that i(k) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 786 = 371. Suppose 4*t - x = l - 4*l, -4*l = t - 32. Let b be 0\/1*(-2)\/2. Sort 5, t, b in decreasing order.\nAnswer: t, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/37080 and 49\/20.\nAnswer: 37080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 2. Let y(p) = 11*p**3 + 13*p**2 + 18*p + 17. Let g(i) = y(i) + 2*z(i). Let m(h) = -4*h**3 - 6*h**2 - 9*h - 6. Calculate -6*g(l) - 13*m(l).\nAnswer: -2*l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 415694.4 millilitres in litres?\nAnswer: 415.6944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11704 + -11704. Let p(b) be the third derivative of 0 - 44*b**2 + 5\/24*b**4 - 1\/12*b**5 + t*b + 5\/3*b**3. Find x such that p(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(684) + 0 + -2)*-5)**2*4*-4.\nAnswer: 96000*sqrt(19) + 5480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1762913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/2 + 352*h**2 + 2*h. Let c(a) = -a**2 - 4*a. Let f be c(-4). Suppose f*z = -2*z. Determine l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 2 i when four letters picked without replacement from {d: 2, g: 5, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111001201100 (base 3) to base 4.\nAnswer: -111100033110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4711 + 4711 + 484*a to y*a + m and give y.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 79 - 67 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-4\/5)*f))\/(f\/f**1)*(f*f*f**(3\/2))\/(((f\/f**(-11\/3)*f)\/f*f*f)\/f) assuming f is positive.\nAnswer: f**(-41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*o - 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5342912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -152 + 1096. List the prime factors of n.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -50. Calculate the remainder when 115 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 2, v: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -1. Let p(v) = v + 4. Let y be p(-5). Let t be y\/1 - (1 + 1). Which is the closest to s? (a) 2 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4))**10\/(((((x*x*(x\/x**(2\/69))\/x)\/x)\/x)\/x)\/(((x\/x**(-1\/3))\/x*x)\/x)))**6 assuming x is positive.\nAnswer: x**(-5332\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*2 + -5*-1*sqrt(99))\/(-6*(sqrt(1296) + sqrt(1296)*2)).\nAnswer: -sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-42)*(-2)\/6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5 + 7. Let i = -77 + 81. Suppose 0 = -i*r + 8*r + 8. Sort r, -5, y in decreasing order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 20. Let j be c(4). Let v be 2\/(-8)*-4 - (-3 + j). Solve -5*n - v*u - 21 = 0, -2*n - 3*n - 2*u - 23 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y. Let k(t) be the first derivative of t**5\/120 + 39*t**3 - 164. Let p(w) be the third derivative of k(w). Calculate p(b(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/(-70) - 39748\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -2, -4, -47 in ascending order.\nAnswer: -47, -28, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84 + 2 + -39 + 91 + -71\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8988*d**3 + 60*d**2 - 5*d - 5. Let k(t) = 6925254*t**3 + 46224*t**2 - 3852*t - 3852. Determine -5*k(z) + 3852*v(z).\nAnswer: -4494*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 951*q**3*u**4 - q**3 + 3469*q**2 - u**4 - 2 wrt u.\nAnswer: 3804*q**3*u**3 - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1010 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + 0. Let n = -3.05 - -3. What is the second smallest value in 1, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = -8*c + 19*c. Suppose 0 = 2*q - 4*u - 33 - 19, 12 = -4*u. What is the least common multiple of c and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + s + 1. Let q be n(-1). Let z be (-7 + 3 + -2)*-1. Differentiate -2 + 3*a**4 + z - q wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 55. Suppose k*y - 8 = 5*y. List the prime factors of (y\/2)\/((-66)\/65 - -1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39552383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612093945 - 612093945 - 14*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2990.37 to the nearest 10.\nAnswer: -2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 12:11 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**2 - 6*c. Let a(q) = -5*q**2 + 2*q. Let f(h) = 3*a(h) + o(h). Let m(p) = 4*p + 76. Give m(f(s)).\nAnswer: -20*s**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 28*r - 2469. Let a be x(-30). Solve -45*u + a = -9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104855214.\nAnswer: 2, 3, 47, 71, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 84. Calculate the least common multiple of x(7) and 7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*5\/((-80)\/(-36))*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356119410 to the power of 1\/3, to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 5*o + 4*o)*(3*o**3 + 0*o**2 + 0*o**2) + (-1 + 4 + 0)*(-4 + 0 + 3)*(0*o + 0*o + o**3)*(1 - 4*o - 1).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 - 13*h**3\/3 - 6*h**2 - 10*h + 36. Let w be v(-12). List the prime factors of 12\/30 + (-926)\/w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*f - 2027 - 4177 = 3091 - 1061 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 4. Let g be k\/10 + (-7)\/(-2). Solve m = -r + 1, -6 + 18 = g*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = s - 5*l, -5*s + 5 = -811*l + 816*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1902453.3 - 13948.35\nAnswer: -1916401.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/4 - 152883*k\/2 + 23373211689\/4 = 0. What is k?\nAnswer: 152883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q + 135*q - 76 = 4*n, 3*n - 116*q = -112*q - 61 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 11*a**2 + 306*a - 154*a - 149*a + 1847.\nAnswer: 3*a**2 + 3*a + 1847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65.6 * -0.3.\nAnswer: -19.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 3, s: 1, u: 3, k: 6}. What is prob of sequence hlku?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 45 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16 - 171.\nAnswer: -172.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2102 + -2102.15763. Let s = o + 0.1496. Round s to four decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112305?\nAnswer: 3, 5, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18805*r + 11 - 11 + 13669*r to the form l + k*r and give k.\nAnswer: 32474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95733\/4 + -23934. What is the closest to 0 in 4\/7, 17, 4, g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 958*-0.25\nAnswer: -239.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33894, 35095, 36322, 37587, 38902, 40279?\n\"Answer: 2*j**3 + j**2 + 1184*j + 32707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*n**2*p*y**3 - 2*n**2*p*y**2 - 131*n**2*y**2 - 13*n**2 - 4*n*y**4 - p*y**3 - y**3 wrt y?\nAnswer: 600*n**2*p - 96*n*y - 6*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(20) + sqrt(320) + sqrt(5).\nAnswer: 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2458166 and 1576.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1825 - -1849. What is the highest common divisor of 136 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107069.756404 - -0.243596. Let s = j - 107068.99997. Let k = 1 - s. Round k to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + sqrt(1008) + sqrt(1008)*2 - sqrt(1008) - sqrt(1008)) + sqrt(1008) + -5 + -1 + sqrt(1008))**2 + (-2*-2*(-5 + sqrt(1008) + 2))**2 + -3.\nAnswer: -38547 + 2304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 h when four letters picked without replacement from {p: 12, h: 2, j: 4, t: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3340042.\nAnswer: 2, 73, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 18*o - 41. Let v be y(-6). Suppose -4*x = -4*w + 4, -w - 3*x - 9 = 6. Sort 5, v, w in increasing order.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 2*g - 1. Let q(w) = 9*w**3 - 5*w**2 - 17*w + 2. Suppose 3*b + 193 = 190. Let d(u) = b*q(u) + 4*v(u). Give d(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1001001011?\nAnswer: -1001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25846471 and 55385295.\nAnswer: 387697065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 434 (base 6) to base 5\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/55 - -157\/220. Suppose 1 = 3*w - 5. Let h be (-2)\/8 + (-1)\/w. What is the closest to 0.1 in h, -2\/19, c?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*l - 28215 = -173*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15808 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25092 = -n - 4*n - 2*r, -5*n + 25085 = -5*r. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/(48\/(-36)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 384 and 2317?\nAnswer: 889728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4600 and -41\/5117000.\nAnswer: 117691000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9005 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030867 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2088376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*a - 1263 - 1274, g + 4*a = 2531. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5401 and 10549?\nAnswer: 5179559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w = -3702 - 2986. Which is smaller: 181 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 11) to base 10.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (63 + -142 + -18)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 7:22 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*b = -2, 0*b = -2*r - 4*b - 4. Suppose r = -d - d + 8. What is the lowest common multiple of d and (-1)\/((-10)\/4 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 t when four letters picked without replacement from {w: 1, a: 2, f: 1, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5189458.\nAnswer: 2, 47, 55207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028443503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10650 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.124 - 54054148.\nAnswer: -54054148.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21. Let t be (j - -15)*1260\/75. Suppose -3*c = 4*c - t. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 23115.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -387, -27, 529, 1347, 2493, 4033, 6033?\nAnswer: 8559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2 - (-266)\/588)*(-32 + 38).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806122072?\nAnswer: 2, 3, 13, 8993981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**6\/360 + u**5\/60 + u**4\/12 - 2*u**3\/3 + 3. Let h(n) be the third derivative of g(n). What is the tens digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*u + 3*l - 23, -u + 5*l = -37. Let h be ((-2)\/12)\/((-11)\/(u - -87)). Factor -1\/3*r - h*r**2 + 0.\nAnswer: -r*(9*r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95145*q**3 + 1814 + 95937*q**3 - 211 wrt q.\nAnswer: 2376*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 53*l - 8. Determine b(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -891 + 895.87. Let g = 0.13 + c. Let p be 4 - (5\/(-45) + (-202)\/(-36)). What is the closest to g in -0.4, p, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 94936792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {v: 3, w: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50693929 to the nearest integer?\nAnswer: 7120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u. Let c(g) = 0*g + 21 - 3 - g. Let h be c(16). Let p(l) = 4*l**h + 2*l**2 + 0*l**2 - 4*l**2. Calculate p(o(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**2 - 8*f + 9. Let l be j(-7). What is the third derivative of -6*o**2 + 3*o**2 - 7*o**3 - l*o**3 wrt o?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -5*g**3\/3 + 5. Let l(h) = -28*h**2 + 51*h**2 - 25*h**2. What is n(l(t))?\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1522937 (base 10) to base 5\nAnswer: -342213222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 13*t + 143 - 24 - 136 + 5*t**2 + 39*t.\nAnswer: t**2 + 26*t - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/10)\/(20\/200). Let q be (-5)\/6*r*8\/(-15). Factor 0 - 2*s**3 - 4\/9*s**2 - q*s**4 + 0*s.\nAnswer: -2*s**2*(s + 2)*(4*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(1\/4)*l*l)\/l*l)**(-6)*(l*l**(23\/2)*l*l)**(-49) assuming l is positive.\nAnswer: l**(-730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/20 + (5 - 0))*(-4)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**6))\/h**(-4))**18 assuming h is positive.\nAnswer: h**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 29884036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 3*b. Let n be 7 - 12\/(-2)*(-17)\/34. Let f(u) = 5*u**2 + 7*u. Give n*f(y) - 7*i(y).\nAnswer: -y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/1590463 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*g**5 - 32*g**3 + 32*g**3 + (-3*g**2 + 5*g**2 - g**2)*(2*g**3 + g**2 - g**2) - 5*g**5 - g**5 + 3*g**5.\nAnswer: 17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -109*x**2 + 14*x - 4. Let r(h) = 111*h**2 - 10*h + 4. Give -3*i(y) - 4*r(y).\nAnswer: -117*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:40 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.018?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182.396 + 183. Let y = -0.6 + b. Let l = y - 0.474. What is l rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725694166?\nAnswer: 2, 761, 476803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 - 1316?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 1180, 1798, 2416, 3034?\nAnswer: 3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*i + 14451612, 6519438 = -5*x - 3*i + 24583929. What is x rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2 + 3*(-56)\/(-126)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 245 in -1, -1\/3, 2\/3, -1063?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 2 in descending order.\nAnswer: 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 66.16985 decades?\nAnswer: 0.6616985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250634*k**2 + 501287*k**2 - 250642*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {s: 3, w: 4, o: 1, f: 11}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*s - 0*o - 5*o - 19, 7*s + 27 = -1173*o + 1169*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -886751 in descending order.\nAnswer: 4, -1, -886751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*o**2*w + k*o*w - 5*k*o + 934*o**2*w + 2*o*w + 3*w wrt o.\nAnswer: -6*k*w + 1868*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f + 117. Let u be z(-12). Let x be 4*-1 - (135\/3)\/u. Calculate the greatest common divisor of 99 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-26 - -24)\/((-2)\/8) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11066 is divided by 1383.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74392.\nAnswer: 2, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/299 in -0.1, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4\/9))\/(g\/((g*g**(-2\/37))\/g))*g**(-2\/5)*g**(-1\/4) assuming g is positive.\nAnswer: g**(-7649\/6660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/15 + 106*x**4\/15 - 36*x**3\/5.\nAnswer: 2*x**3*(x - 1)*(x + 54)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 - 84*h - 444. What is v(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 6846856248962.\nAnswer: 6846856248961.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/4 - 259*r\/4 + 65 = 0?\nAnswer: -260, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 19*d - 71. Let z be q(22). Put 5, 4, z, 14 in decreasing order.\nAnswer: 14, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (0 - -2))*3\/(-2). Suppose 765 = 5*f + u*i, -10 = -0*i + 2*i. What is the highest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16250*x**3 + x - 2. Let g be j(2). What is g rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 515?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 4. Let m be z(6). What is the highest common divisor of m and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**3 - 8*l**2 + 5*l + 2. Let h be p(1). Let u(j) = j**3 - 10*j**2 + 11*j - 12. Calculate u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 427 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10131 and 396?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 114\/18. Suppose 4*f - f + s = 0, -5*f + 90 = 5*o. Let h(w) = w**2 - w - 1. Calculate the remainder when o is divided by h(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -49. Let f be (-4)\/(-3)*k\/(-4). What is the closest to -2\/7 in f, 1, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(sqrt(384)*4 + sqrt(384)))\/(sqrt(36)\/sqrt(3)*2) + 2).\nAnswer: -50*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 57. Solve o - 4 + z = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 154?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36567 and 423747?\nAnswer: 7203699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + (60 + -61 - (0 + 0))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 4. Let s be t(4). Suppose -s*x = -7*x. Let n be (x + (-30)\/3)\/(-2). Solve c + 1 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 13 = -2*n - 4*f, 0 = 5*n + 2*f - 10. Solve n = 3*a + 3*q + 12, 4*a + 3*q = -21 + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 5\/3*i**4 + 4\/3*i**3 + 3\/5*i**5 + 8*i + 0 + 0*i**2. Let u(z) = 0. What is z?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1325 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 907\nAnswer: 5\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 18*r**2 + 1 - 2 to the form b*r**2 + i*r + n and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 3 - 5)*(61 - 61 + 13*w**2) to g + f*w + d*w**2 and give d.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 27*l - 53. Let j(p) = 78*p - 151. Let d(v) = 6*j(v) - 17*o(v). What is d(-3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:52 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/(1\/6*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1901 + 32500 = 215*n - 18489. What is the least common multiple of 10 and n?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 388 - -701. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*x - 18 = 0, 5*o + 184*x - 188*x = -21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (1 - -2 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9434.465 years to millennia.\nAnswer: 9.434465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3*s**3 - 112*o**3*s - 2*o**3 + 1086*o**2*s**3 - 1 wrt s?\nAnswer: -12*o**3*s + 6516*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sskgsggksgakksssccgg. What is prob of sequence asg?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1261, 928, 597, 268, -59, -384, -707?\n\"Answer: w**2 - 336*w + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z - 4. What is the units digit of d(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 1 + -2 + -2. Suppose p - 353 = -5*m, 2*p + o = 8. Suppose 2*u - 4*a - m = 0, 5*u - u - 4*a = 136. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3 - 12 + 5 + 3. Suppose 0 = 5*s + 20. Let q(j) = -6*j**3 + 2*j - 4. Let u(m) = s*f(m) + q(m). What is the second derivative of u(b) wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4745\/4745 - ((-1)\/(-1) - (20 + -1))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191728 by -4168.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273 and 168?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12074*p**2 - 23*p - 15. Let r be l(30). Suppose 19*t + r - 2638895 = 0. Round t to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 33*u - 22*u + 25*u - 17*u - 20*u. Let b(r) = 5*r - 18. Calculate -b(n) - 4*j(n).\nAnswer: -n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 1, l: 1, o: 1, e: 1}. Give prob of picking 2 o, 1 e, and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -50. What is the remainder when 12\/54*-3*-159 - 2 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/4)\/p*p**(-7)*p\/(p**(-1\/9)\/p*p)*(p\/(p**9\/p*p))\/p assuming p is positive.\nAnswer: p**(-527\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 - 148*r + 222. Let d be y(28). Let o(v) = -66*v. Let h(m) = m - m + 5*m. What is d*o(l) - 27*h(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(114))\/(3*sqrt(24)\/sqrt(4)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -7.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 13*h**2 + 12*h + 5. Let t be l(12). Let s(n) = 2*n**2 + 2*n. Let q be s(t). Let o = q - -79. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450200 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -4 (c) 3 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:28 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022208154 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000376027 to five dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 6. Let z be h(-4). Let f(a) = -2*a**2 + 6*a. Let o be f(3). Put z, o, -5 in descending order.\nAnswer: o, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*b - 88*b + 21*b + 153 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1391*j**2 - 2*j. Let b(h) = 2781*h**2 - 5*h. What is -2*b(q) + 5*z(q)?\nAnswer: 1393*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*o - 6 - 3, -3*n = -4*o - 11. Let c = -1 - o. Let x(p) = -7*p + 5 - 3 - 1. Give x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 + 48 - 50\/((-150)\/(-33))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 17*i - 45. Let o be y(3). Calculate the common denominator of -29\/4 and (-1077)\/648*o - 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 6*s)*(-3 - 4 + 3).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -47*w + 5215. Determine l(127).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.13, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*z = 4*z + 8, 5*z + 4 = -4*y. Let l(c) = -c**3 + 6*c**2 - 6*c + 3. Let b be l(4). Suppose -4*h + 9 = -b. Solve h*f - y*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v**2 + 17*v - 6. Let z(l) = 5*l**2 - 8*l + 3. Let i(d) = -6*x(d) - 13*z(d). Let a be (-9)\/(-21) - 93\/21. Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-120))\/((-1)\/15))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -103, 192 in descending order.\nAnswer: 192, -2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 23.1. What is the nearest to -0.1 in -1\/4, b, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29693 divided by 8?\nAnswer: -29693\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/10, -1\/2, -2, -11 in descending order.\nAnswer: 39\/10, -1\/2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -7, -52, 3.\nAnswer: -52, -23, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -4 (c) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.8. Let a = p + 0.6. Let t = -10 - -7. Sort a, t, -2.\nAnswer: t, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1905 = 2*p, -p + 0*z = 5*z - 960. Let h = -510 + p. List the prime factors of h.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 881, 1713, 2545, 3377, 4209?\nAnswer: 5041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/697321 and -53\/2676.\nAnswer: 8367852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(28)*3.\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6, 7*i + 1415779 = 5*z + 3*i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.19, 0?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74181061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 11753 - 5019. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by 3\nAnswer: -190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 3*j + 95. Let s = j + 131\/2. Suppose -5\/8*a - 1\/8*a**3 + 1\/4 + s*a**2 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 4*r + 0*r - 3*r. Let i(b) = -42*b**2. Calculate z(i(j)).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986594 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 - 6*c + 1. Let q = -55 - -69. Suppose -2*f + 2*h + q = -0, -3*f - 5*h - 3 = 0. Calculate p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5694 and 780197\/137 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*d**3 + 565*d**3 - 181*d**3.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*b - 768091 = -844015 for b.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2935090*v + 1467546*v + 1467554*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*5*(sqrt(77) + 2*sqrt(77)))\/(5*1*sqrt(11) - sqrt(11) - sqrt(88)\/(sqrt(48)\/sqrt(6) + sqrt(8))))**2.\nAnswer: 32400\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 32*u**2 - 176*u + 192 = 0 for u.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {p: 3, i: 4, g: 3, k: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(-2))\/p)*p)\/p)\/p*p*p**2*(p\/((p**(-1\/3)\/p)\/p)*p)**(-50) assuming p is positive.\nAnswer: p**(-647\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*c + 34*c - 5*b - 15, 0 = 44*c + 4*b - 3*b + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*z = -6*z, 4*z = 0. Suppose f*i - i = 0. Suppose j = -h + 3, i = -5*j - 6*h + 2*h + 14. Solve -3*m + 2*c = 7, 0*m - j*c = -2*m - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1373 + 2715*d - 64 + 2713*d - 5430*d.\nAnswer: -2*d - 1437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12) - (9938\/(-6) + -6). Let m = r + -944. What are the prime factors of m?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5)\/((-4752)\/(-5280)*16\/234).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6232 and -1204?\nAnswer: 5028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 10*u - 6. List the prime factors of q(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7*f - 3*f = -288, -3*f + 432 = -3*u. Let o = u - -219. Suppose 0*s + 3*s = o. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/835 and -133\/110.\nAnswer: 18370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014 * -2299608.\nAnswer: 32194.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22022111000 (base 3) to base 9\nAnswer: 268430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*35010219.\nAnswer: -3501021.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 61 = -104. What is the derivative of -80*j - 62*j - g - 4*j**2 + 107*j wrt j?\nAnswer: -8*j - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:25 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -78. Let d = h + 15.5. Sort -2, d, -4 in increasing order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -9 + -9 + (-27 - -41)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -1246, -1873, -2502?\nAnswer: -3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62432 is divided by 451?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*s**3 + 266*s**3 - 333*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/20)\/((-1)\/((-10)\/(-15)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:01 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 - 7*t + 18. Let y be r(-5). Does 28 divide (21\/14)\/(y\/434)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.6 - 43.8. What is the fifth biggest value in -2\/7, 0, g, 12\/5, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(2\/19))\/x*x))\/((x*(x**0\/x)\/x*x)\/x*x*x*x*x*x)*(x**(-2\/7)*x*x)**(-3\/2) assuming x is positive.\nAnswer: x**(-860\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skvx when four letters picked without replacement from {c: 1, v: 2, s: 2, x: 4, r: 1, k: 2}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*j = -27. What is the highest common factor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1\/4, -0.3 in increasing order.\nAnswer: -0.3, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/20 - 7)*(-20)\/6. Calculate the highest common divisor of t and 216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x - 16. Is m(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -920 or -6431\/7?\nAnswer: -6431\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -115. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 45. Calculate the lowest common multiple of 6 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + 0.27. Let s = -0.38 + b. Let j = -0.82 + s. What is the nearest to j in -1.3, -1\/4, 0.2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*b = 209 - 1644 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8102 - -8098. What is the closest to 1.47 in -0.3, 4, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 5 + (-154)\/(-7). Which is greater: n or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**2 - 59*r + 0*r**2 - 7*r**6 + 59*r wrt r?\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2680*m - 401993. Determine o(-150).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7997 - -7501.2. Round m to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let b(g) = 2*g + 21. Let h be b(-8). Suppose 19 - h = 7*v. Sort -4, v, x.\nAnswer: -4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Calculate the common denominator of -37\/388836 and -61\/924.\nAnswer: 4277196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 9)*(-1 + 371). Let r = k + -246. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.2 - 92.9. What is w rounded to zero decimal places?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306\/(-17952)*(-64)\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46024 = m - 0*m + 2*d, d + 46030 = m. Let h = m - -1653972. Round h to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k - 6. Let r be w(-3). Let q = r - -56. Let y(m) = -14*m + 4. What is the remainder when 33 is divided by y(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 + 304 = -4*v. Solve 4*d + 5*r = -d + 10, 5*d + 3*r = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.067 - -0.067. Let g = p - -29.4. Let s = 50 + -49. Which is the closest to s? (a) g (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + 5. Let c = 5.4 - j. Let i = c - 2.6. What is the second biggest value in -3, -0.7, i?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2.46 (b) 11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 970.4946 hours?\nAnswer: 3493780.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.275, 1.8, 3, 1, 0.5?\nAnswer: -0.275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2. Let s(k) = 4*k**2 - 4*k - 2*k**2 - 6 + 5. Suppose -z = -1 + 2. Let f(q) = -q**2 + q + 1. Let w(x) = z*s(x) - 4*f(x). Give 3*h(m) - 2*w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from rgmzgmc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 16 + -15 + -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35168.6 + -39700. Round n to the nearest ten.\nAnswer: -4530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x + x**3 - 4*x + 13*x**2 + 7 + 0*x + 3*x. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2 = 5*d. What is the units digit of d + (0 - 0) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**3\/6 + 2*d**2 + 2*d. Let x be n(4). Let f(c) = c**3 - c**2 + 3. Let w be f(x). Solve l = w*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/48 - 5*v**5\/24 - 5*v**4\/12 - 1666*v**2. Suppose w(m) = 0. What is m?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -10, -12, -14, -16?\n\"Answer: -2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -468 or -467?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (1 - 2) - -10. Let q(c) = -27*c**3 - c**2 - 2*c - 1. Let y be q(-1). Suppose 3*l - x = 4, 4*x - y = -5*l + t. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 15*n - 8. Give p(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.482057732 to four decimal places.\nAnswer: -0.4821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 29 + -41 + 4 - -36.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 5*w, 2*d = 2*w + 6. Let y(x) = -x**3 + x**2 - x + 16. Calculate y(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12667368, -12667283, -12667198?\n\"Answer: 85*k - 12667453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 7*j**2 + 9*j + 8. Let u be k(-8). Suppose -l + u + 10 = 0. Let m(a) = -3*a - 6. Calculate the least common multiple of l and m(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let h be ((-72)\/9)\/(0 - s). Solve 3*v = v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72124 times 14?\nAnswer: -1009736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 100591?\nAnswer: -23\/100591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) -0.3 (c) 1\/12 (d) 6.22 (e) -2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 1. Let x = 41 - 20. Suppose 5*w = -2*w - x. What is k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/36 + (-3)\/(-30). Let m be 0 + 1\/1 - 2. Let f = 456 + -3198\/7. Which is the third smallest value? (a) f (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1914 and 522.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 - y - 5. Let a be h(-6). Suppose -a = r - 3. Solve 1\/3*j**r + j - j**3 - 1\/3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189\/530 - 3\/53. Let f = -137 + 676\/5. Let d = n + f. Put d, -3, 0.4 in decreasing order.\nAnswer: 0.4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683120 divided by 1127?\nAnswer: 683120\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47\/15 - (-10)\/(-75). Let d be 0 + (-1)\/(-4 - -1). Let z = 84 - 79. What is the nearest to d in y, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from {x: 5, z: 3, h: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqvpmvvqqqqsqqmqvm. Give prob of picking 1 s, 2 m, and 1 p.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51342801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-31011)\/4)\/((-342)\/(-12)). Let v = -272 - l. Calculate the common denominator of -29\/2 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - (53 + 118) - (-25 - -1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 52 - 332. Does 21 divide l*(9\/(-6) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61\/5 + -58\/5. Which is the nearest to r? (a) 0.3 (b) -1\/6 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = z - 3*z, -2*b + 2*z = 2. Let c = 14 + -8. Suppose -c*r + r - 3*o + 34 = 0, o - 38 = -5*r. Calculate the remainder when r is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7706 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 9. Let f(v) = v**2 + 9*v + 8. Let d be f(-7). What is the lowest common multiple of 10 and c(d)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 5*i**2 - 6*i + 353. Give o(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5 - 2*q + q**2 - 1 + 0*q**2. Calculate r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/14 + (-2)\/(-7). Let x(u) = -u + 0*u**2 + u**f - 13 + 8*u**2 + u**3. Let r be x(-9). Do -13\/3 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 11) in base 5?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from yyhjyjj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*a - 50, -6*a + 4*a = -5*x - 53. What is the nearest to a in -3, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/5, -52, 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 9 in descending order.\nAnswer: 9, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 64290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 494436\/5731 and 86 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10015290.76 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/9 + (-91)\/(-3) + -3 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let w(n) = -25*n + 65. Give h(s) + w(s).\nAnswer: -25*s + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 47 = -21. Let u = 1 - a. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 36*b**2. Let j(h) = 2*h + 20. Let v be j(-9). Let c(t) = -v + 2*t + 4 - 2. Give i(c(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -d08d2 (base 15) in base 16?\nAnswer: -a129a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4362517 divided by -6\nAnswer: 4362517\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 251 + 248 = 0, 0 = -4*q - 3*u + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 73 - 5*o + 1\/4*o**4 - 1\/2*o**2 + 2*o**3. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411787821.\nAnswer: 1091, 1294031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*i = 1546338, o + 216*i - 386593 = 213*i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y - 697 - 9 = -264 + 724 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -913589 by -5.\nAnswer: 913589\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 560*(18\/(-45) + 31\/(-10)). Let u = 2863 + s. What are the prime factors of u?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 + -0.488. Let l = d - 4.962. Which is the nearest to -1? (a) l (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 284 + 81 = 2*u, -4*u + 3*p = -715. Which is smaller: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwdwwdw. Give prob of picking 2 w and 1 d.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1312 - 12*s**2 - 5*s**2 - 4*s**2 - 12*s**2 + 34*s**2 as r*s + i + u*s**2 and give i.\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 3*n = 8*c + 1 - 52, 307*n + c - 2*c = 331*n + 3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -8. Let k(u) = -u + 5. Let b be k(o). Let r be b - 0*1\/3. Let f(h) = h - 1. Let y(j) = -2. Give r*y(d) + 2*f(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344 - 348. Let b be (-4)\/(-8) + (-274)\/y. What is the greatest common factor of 115 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30841, -246722, -832683, -1973764, -3855005, -6661446, -10578127?\nAnswer: -15790088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61796, 123596, 185394, 247190, 308984?\nAnswer: 370776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3 + 46*i**2 - 304*i + 440 = 0.\nAnswer: 2, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8.5. What is the nearest to 1\/16 in -1\/3, a, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -21 (b) 21 (c) 4 (d) 0.18 (e) -3 (f) -41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*q + m**2 + 2197*m*q + 3*q + 11456497 wrt q?\nAnswer: -m**2 + 2197*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-32) - 14\/(-8). Put -7, 0, l, -1 in descending order.\nAnswer: l, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25582 is divided by 77?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.37 + 1.03. Let h = b + -0.9. Let q = -12 + h. Round q to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 48 (b) -7 (c) 7 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/3)\/(198\/27).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4359173 is divided by 69193?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 7 - 1)*(-3*w**3 + 3*w**4 + 3*w**3)*(3 + 4 - 3)*(1 - 5 + 5) as f + m*w**4 + i*w + j*w**2 + v*w**3 and give m.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -33*s + 137 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 * -1.185.\nAnswer: -0.34365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1785, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - -1) + -1 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874234 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -7, 14, -1, -5 in decreasing order.\nAnswer: 14, -1, -5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27243 times -0.21?\nAnswer: 5721.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 7 = -3*q, 2*q - 5*v + 5 = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*h - 5\/3*h**2 - 1\/3*h**4 + 2*h**3.\nAnswer: -h**2*(h - 5)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j**3 - 207*j**2 - j - 1. Let v be z(12). What is the smallest value in v, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**4\/24 - 9*u**3\/2 + 41*u**2\/6 - 1202. Determine q, given that y(q) = 0.\nAnswer: -82, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 + 7)*(2*x + 0*x + 0*x) - 50*x + x - 90*x.\nAnswer: -109*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -7*u**5\/5 - 2*u**2 - 5*u - 1. Find the second derivative of b(m) wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9051.\nAnswer: 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-7)*(-91 - -91). Solve y = x - 7 + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 216*i**2 - 1244*i + 3384.\nAnswer: -4*(i - 2)*(i + 9)*(i + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60033 is divided by 7504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -4*v + 26 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -3*p + 3*f, -10*f = -p - 13*f + 28. Suppose -5*i = -2*t + p, 6*t - 12 = 4*t - 2*i. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39360236 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516161, 516205, 516249, 516293?\nAnswer: 516337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 17. Let a(s) = 4. Let l(m) = m**2 + 6*m + 3. Let w be l(-5). Let h(r) = w*x(r) - 9*a(r). Let t be (-8)\/(-2) + 6 + -6. Determine h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23728965?\nAnswer: 3, 5, 13, 121687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 0 - 12*w**2 + 2*w**2 - w**2 - 59.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 = -2*n, -2*n + 5*k = 3*n - 25. Suppose -3*v + n*h - 5 = -16, 3*v - 2*h = 19. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -986 + 6301?\nAnswer: 5426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-2260)\/(-264)) + 111\/74?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + sqrt(55)\/(sqrt(11)*-1) + sqrt(120)\/sqrt(6) + -5 + -4)**2 + 5.\nAnswer: -20*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 5, m: 3, j: 3, q: 4, z: 1}. Give prob of picking 2 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186320)\/(-330855) + 60\/(-126)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*r - 28*r + 67*r - 2 + 120*r - r + 2*r - 2*r - r + 4*r - 4*r + (-4*r + r + 2*r)*(-1 - 3 + 2) - r + 2*r + r.\nAnswer: 210*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oongggno. Give prob of picking 1 g and 1 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*22\/(-8))\/(-1). Solve -12*h + r = -13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + (-21)\/(-14))*(14 + (-688)\/48). Determine j, given that -b*j + 9\/4*j**3 + 3\/4*j**4 + 0 - 3\/4*j**2 - 3\/4*j**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 241 or 240?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 81 - 3*j**2 + 2*j**3 - 64 to u*j + o*j**3 + y + p*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75960\/(-10128)*9\/10.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxscss. What is prob of sequence syyc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483 plus -48?\nAnswer: 3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 75972.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:15 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 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: What is 108 times -0.3?\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 - 2*t - 8. Let v be p(-6). Let s(c) = -6 + 5 - c**2 + v + 4*c. Calculate s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p - 81*p**4 + 38*p**4 + p**2 + 40*p**4 + 2)*(-3 - 1 + 2).\nAnswer: 6*p**4 - 2*p**2 - 28*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3143221 - -1?\nAnswer: -3143220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/(-4))\/(1\/2). Suppose s = -5*b - w, 4*s = b + 28 + 21. Let t = -7 + s. Solve 0*k = t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 - 39*c + 3. Let d be h(19). What is d rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from qqqqxquuqxqqxqqxqxq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, g: 2, c: 1, k: 4, a: 4}. What is prob of sequence gk?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h + 3. Let a be w(-5). Sort -2, -4, a, 0 in decreasing order.\nAnswer: a, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1089*c - 329. Let z(d) = 299*d + 82. Give -6*v(s) - 22*z(s).\nAnswer: -44*s + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46147.4 and 0.\nAnswer: -46147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let n(o) = 6 - 13*o - 22*o - 4*o + 49*o**2. Let p(m) = -6*a(m) + n(m). What is the second derivative of p(v) wrt v?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) 9113 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36\/29 + -554\/493. Let g(r) = 2*r**3 + r**2 + 3. Let s be g(0). Suppose 3*n + 3 = 2*n - t, -s = 3*t. Sort u, n, 4 in descending order.\nAnswer: 4, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63204.9968547 - -63205. What is y rounded to 5 decimal places?\nAnswer: 0.00315","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -241*u + 26 + 28 - 89 + 35 in the form w + v*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 120*r + 591. Calculate x(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 17766 + 1952 = 0. Suppose -b - 5*r + 2649 = 0, 3*b + 14*r - 9*r = a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2. Let j(q) = q - 1. Let l = 101 - 103. What is l*j(d) - y(d)?\nAnswer: -9*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, d: 1, n: 4, s: 1, e: 3}. What is prob of picking 1 d and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948991139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 309579546 a multiple of 3991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:28 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -549*p - 3*p**2 - 3*p**2 + 3*p**2 + 46*p**3 + 545*p - p**4 - 1 as x*p**3 + z*p**2 + r + v*p + l*p**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a**2 + 7*a + 52. Let d be t(-7). Solve d*s - l = 0, -2*s + 5*l + 13 = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(-16)\/(112\/(-7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/9 - 2966*i**3\/9 + 11672*i**2 - 139296*i + 555648 = 0.\nAnswer: 12, 1447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14310 is divided by 462?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1276220*h + 327727?\nAnswer: -1276220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(4*l**3 - 3*l**3 - 4*l**3)*(3*l + 0*l - 4*l)*(-2 + 2 - 2)*(58 - 5 + 13).\nAnswer: 792*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24130 (base 9) to base 10\nAnswer: 16146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wwncwwccwccwwcccccw.\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507.717 kilograms to milligrams.\nAnswer: 507717000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, l: 11}. Give prob of picking 1 l and 2 q.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14625150.\nAnswer: 2, 3, 5, 97501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 11*t + 8. Let j be u(6). Solve -4*p - j*n + 6 = -0*p, 5*n = -25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**3 + 8*a**2 + 16*a + 2393. Let g(h) = 19*h**3 + 11*h**2 + 22*h + 3191. Determine -8*g(p) + 11*j(p).\nAnswer: 2*p**3 + 795","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-k**2 + k**2 + 8*k**2).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (2 - (-14)\/1). Let b = -6 + c. What is the highest common divisor of b and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -33, -4, 542, 21 in decreasing order.\nAnswer: 542, 21, -1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 7. Let v be i(10). Suppose 0*g - v = -2*g - 3*h, h - 5 = 0. Which is smaller: 1\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40912 less than 311644?\nAnswer: 270732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1190)\/374)\/(10\/110).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-10))\/(278\/1390)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1233.\nAnswer: -29\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -52*r - 8*r**4 + 10*r**3 - 16\/5*r**5 + 0 - 4*r**2. Factor t(k).\nAnswer: -4*(k + 2)*(4*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*j = 38, k - 9*j - 34 = -4*j. Let r be (-1 + (2 - 2))*-3. Suppose 1062 = k*s - r*s. Calculate the remainder when s is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31930, -31595, -30596, -28573, -25166?\n\"Answer: 60*k**3 - 28*k**2 - k - 31961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-10)*275\/(-16720)*38)\/(177\/(-4)).\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(684) - (sqrt(684) - 1*(4 + sqrt(684)))) + 5)**2*6 + 0.\nAnswer: 8208*sqrt(19) + 149910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -151305.019 rounded to the nearest one thousand?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*v - 125 = -406*v + 4*i, 0 = -2*v + 3*i - 42 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 5, y: 5, h: 1}. Give prob of picking 2 m.\nAnswer: 5\/33","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 lllllllllllelllllll?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -134078948531 + -0.4?\nAnswer: -134078948531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 24*n + 3. Let p be u(6). Solve -p*i + 2*i = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 11 - 10)*(3 - 8*o - 3)*(0 - 2 + 3)*(-3 - 2*o**2 + 3) to the form i*o + s + x*o**2 + a*o**3 and give a.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 255*l**4 + 9205*l**3 + 197115*l**2 - 651800*l + 445740 = 0. What is l?\nAnswer: -69, -19, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 9. Suppose l = i + 7. Solve -3*d + n = -0*n + 8, i*d - 17 = -4*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19 - -19) + (1 - -11). Suppose 21*p - u = 18*p. Factor d**4 + 3*d**p + 0*d**4 - d**4 + 3*d**5.\nAnswer: 3*d**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 12 + -6 + -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*p**3 - 162*p**3 - 138*p**3 - 60*p**3.\nAnswer: -425*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -f - 3*s + 54, 0 = -5*f + 5*s + 195. Let o = f + -8. What is the highest common divisor of o and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 146 (b) -4\/5 (c) 616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(95) + (sqrt(95) - (sqrt(95) + (3*sqrt(95) - sqrt(95))))))\/(sqrt(245) + (2*sqrt(245) + sqrt(245) - sqrt(245)) + sqrt(245)).\nAnswer: -sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let z = 6 - s. What is the remainder when (-8)\/(-4 - 21\/(-6)) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 + 135 + (-6 - -42)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3063600 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1680? (a) 6 (b) 2\/11 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65282717 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose -28 = -z*w + 2. Let n = w - 10. Solve -2*b - 2*i + 7 = b, n = 4*i + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -83.7 (b) 2 (c) 1.6 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9645 or -9625?\nAnswer: -9645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100671849?\nAnswer: 3, 31, 120277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106843?\nAnswer: 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(1 + sqrt(153)) + -1*sqrt(153) + -1))**2*3.\nAnswer: 1152*sqrt(17) + 29568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3064\/(-3))\/(1\/(-3)). Let f = -1785 + d. Let q = f - 762. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {s: 2, n: 4, v: 4, o: 1, u: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 4*m**2 - 6*m**2 - 2*m**2 in the form p*m**2 + g*m + d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 4*c - 7. Let l be k(5). Let f(o) = -o**2 - 7*o - 2. Let t be f(l). Find the first derivative of 4 + 3 - 6 + t*s + 5 wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, 1 l, and 1 b when four letters picked without replacement from cbrnbrnlw?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-15))\/(4\/70). Let d = s - 2. What is the greatest common divisor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55352*q - 3*q**2 + q**2 - 55358*q + 110710*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69 + -707?\nAnswer: -708.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(20)\/sqrt(160))**2.\nAnswer: 3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or -0.598?\nAnswer: -0.598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t + 48*t - 2*k = -t - t + 18, -36 = 3*k - 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53 + 557?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16194 is divided by 16162?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*c + g, -7861*c = -7865*c - 2*g + 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 21*r**5 + 139*r**4 + 2379*r - 7. Let d(v) = -14*v**5 - 91*v**4 - 1586*v + 5. Let x(i) = 7*d(i) + 5*p(i). What is the second derivative of x(a) wrt a?\nAnswer: 140*a**3 + 696*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*f - 26 + 24 - 4*f wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -19.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m**(1\/3))**40 assuming m is positive.\nAnswer: m**(-920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17297 - 52*j + 17297 - 2*j**2.\nAnswer: -2*j**2 - 52*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27864 divided by 2322.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-21)\/r**(-5\/7))\/(r*((r*(r*r\/r**(2\/3))\/r)\/r)\/r*r)**(-3\/20) assuming r is positive.\nAnswer: r**(-703\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let x(h) = h - 11. Let y be x(10). Let s(r) = r**2 - 3*r - 7. Let n be s(5). Let a(k) = -4 - 2 - 4 + 6 + n*k. Give y*a(u) + 2*p(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10151 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2. Let w(g) be the first derivative of 2*g**3\/3 - 12*g - 468. Calculate p(w(t)).\nAnswer: 28*t**4 - 336*t**2 + 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uppp when four letters picked without replacement from pypuurlruyuyzpurup?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/984 and 26\/111.\nAnswer: 36408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37626300767.4 and -1.\nAnswer: -37626300768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486933 is divided by 3801.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275405 is divided by 91798.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - 1 + 1)*(0*v - 2*v + 4*v - 435 + 435 + 19*v - 2*v - 2*v + 5*v + (4 - 5 + 0)*(3*v + v - 2*v)).\nAnswer: -40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 174 = f + 3*i, 2*f + 5005 = -3*i + 4821 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from {m: 8, x: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 11*m**2 + 20*m - 1. What is c(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-1\/27)*((z*z\/(z**(2\/3)\/z))\/z*z)\/z*z*z**(1\/3)\/z*z)**21 assuming z is positive.\nAnswer: z**(490\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.110123 rounded to three decimal places?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -88?\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/8 and ((-748)\/96 + 4 - -3)*9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 233963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*g - 811403 = -200663. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.4 (c) -1 (d) 4 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -1005, -2246, -3983, -6216, -8945?\nAnswer: -12170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 + 2*u**2 + 8*u**2 + (-u + u + 4*u)*(u + 2*u - 2*u) to a*u + i + t*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 4*y**4 - y**4)*(22*y + 8*y - 10*y) - 5*y**5 + 2*y**5 + y**5 + (2 + 1 - 4)*(y**5 - 2 + 2).\nAnswer: -43*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlglltrglllll. What is prob of picking 1 r and 2 g?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -20. Is 239\/3 + y\/3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 48*t**2 - 32*t + 432. What are the prime factors of f(10)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170412 (base 8) in base 7?\nAnswer: 344621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/a)**10*(a*a**(-1\/3))**(9\/2) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 9*v**2 + 15*v - 2. Let w be b(7). Suppose -8*t - w = -9*t. Let q(y) = y**2 - 6*y + 5. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/720 + v**4\/24 - 5*v**2. Let k(x) be the second derivative of w(x). Let f(d) = 3*d - 2. Give -f(m) + 2*k(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -11001, -1, 1, -3, -4 in descending order.\nAnswer: 21, 1, -1, -3, -4, -11001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:51 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 - -2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1000))\/(sqrt(8) + sqrt(8) + -3*(sqrt(200) - sqrt(8))).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 25, 2506 - 11246 = -5*w + p. What is w rounded to the nearest ten?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -986*i + 9807. Is o(9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 23317*f**3 + 102*f**2 + 5*f - 4. Let j be x(1). What is j rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11213, 11212, 11209, 11204, 11197, 11188?\n\"Answer: -q**2 + 2*q + 11212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 312590, 312737, 312884, 313031, 313178, 313325?\n\"Answer: 147*f + 312443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753933488 divided by -44968.\nAnswer: 16766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -601 or -600?\nAnswer: -600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101625 divided by -5?\nAnswer: -20325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*m = 8, -50*m + 3 = -49*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-29)\/((6\/9*-3)\/2) is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 - 107. Sort -3\/8, -7, k in ascending order.\nAnswer: -7, -3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-4)*1)\/((-10)\/(-3460)).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.082699803 to 3 decimal places.\nAnswer: -1.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8749*q**3 - 5*q**2 - 4*q - 2. Let w(r) = -r**2 - r. Let p(n) = f(n) - 3*w(n). Let t be p(-2). What is t rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. Suppose -g*o = 1091672 + 378328. What is o rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)\/k)**(23\/5)*k\/k**16*k**(2\/5) assuming k is positive.\nAnswer: k**(-1586\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 - 6*k - 22. Determine z(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s - 5*c = -14, 0 = 4*s - 4*c - 8. Let m be (2\/s)\/(8\/36). Find the second derivative of -2*n**3 + 8*n**3 - 2*n - 3*n**3 + n**m wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -43, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x + (3 + 1 - 6)*(-4*x + x + x) + 3 + 7*x - 3)*(2*x**2 - 3*x**2 + 5*x**2).\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Let z(c) be the second derivative of 111*c**3\/2 - 4*c + 2. Calculate z(d(p)).\nAnswer: 666*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25804096.\nAnswer: 2, 17, 37, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-3) + 3064\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2390 + -2375. Solve -21*n = -q*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/2, 0.323?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1969666, -1969731, -1969840, -1969999, -1970214, -1970491, -1970836, -1971255?\nAnswer: -1971754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 102 = 3*p + 3*i, -4*p + 131 = -5*i. Suppose -87598 = 25*h - p*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 times -0.4\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4260 and 78420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - (1 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 45*b - 18 = f, -2*f + b = 0. Let z(d) = -4*d**3 - 2*d - 3. Let p(t) = 13*t**3 + 7*t + 10. Suppose -2*w + 14 = -4*w. Give f*p(q) + w*z(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from {g: 12, s: 2, r: 2, j: 4}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483, -413, -343, -273, -203, -133?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**3 + 3*i**2 + 13*i + 2. Let s(u) = -2*u**3 - u**2 - 8*u - 1. Determine -2*h(f) - 6*s(f).\nAnswer: -6*f**3 + 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2079 and 55.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128634 is divided by 249.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) -2 (c) 16 (d) -1\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/2 - 7*j**4 - 36*j**3 - 88*j**2 - 104*j - 48 = 0. Calculate j.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 - -152. Suppose z = x + 3*y, 0 = -0*x + x - 5*y - 87. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2145\/6)\/11*(16 + 0). Suppose -9*z = -z + h. Let q be z\/2 - 9\/(-6). Is -30 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/29 (c) 0 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663 is divided by 193.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 254 + -246. Sort 0.05, 1, b in decreasing order.\nAnswer: b, 1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, l: 4, v: 4, y: 3}. Give prob of picking 2 v and 1 y.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 3*p + p - 5*p. Suppose 9 = 2*s - 2*w - 3, -s - w = 0. Let f(q) = 2*q**2. Let l(c) = 2*c**2. Let z(x) = s*f(x) - 4*l(x). Determine y(z(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5369*l + 10765. Calculate v(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -31. What is the nearest to -1 in 1, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528*1*107 - (0 + -12 + 20).\nAnswer: 2, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*q - 2*q**3 + 5*q**3 + 686*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65.7 - 63. Let f = 7.27 - 7.27. Which is the biggest value? (a) s (b) f (c) -1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79405971100 to the nearest one million.\nAnswer: -79406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877*u - 536*u - 620*u + 5 - 189*u.\nAnswer: -468*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + v + (-15 + 10 - 12)*(5*v - v - 3*v) - v + 3*v + 0*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 18*w + 0*w)*(32*w - 3*w + 18*w).\nAnswer: 705*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 798 and 60?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a0531 - -45?\nAnswer: -3a04a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - c. What is p(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 5*n**2 + 9*n - 18. Let x be p(6). Sort x, -4, 9, -2 in increasing order.\nAnswer: -4, -2, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4314, -0.3 in descending order.\nAnswer: -0.3, -5, -4314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**(3\/5)*f)\/(f\/(f**(-3)\/f)))\/(f**(-3)*f*f*f\/(f\/(f*f**(-3)\/f))))**(-4\/15) assuming f is positive.\nAnswer: f**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.510594ms to days.\nAnswer: 0.000001915631875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3351810 and 20370.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.1 (c) -21 (d) -38\/5 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 8 = f - 4 + 45, 3 = -4*p + 15 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 6 = -14*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-6 - (-38)\/6)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -910, -2208, -3890, -5956, -8406, -11240, -14458?\nAnswer: -18060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -700092 divided by -19447\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585 = -38*m - 506*m - 10921 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**2. Let l(w) = -w + 6. Let g(k) = -1. Let f(i) = 6*g(i) + l(i). What is f(o(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3497194367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 24. Let t be i(11). Solve x = -3*o + t, -5*o + 3*x + 10 + 7 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770118631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -961.9, -7, -0.3, 3\/7, -1\/2 in descending order.\nAnswer: 3\/7, -0.3, -1\/2, -7, -961.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 60*g - 9. Let y(s) = -2 - 4 + 25*s + 49*s - 31*s. Let x(d) = -5*l(d) + 7*y(d). Give x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944 is divided by 2924.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -1.47524721.\nAnswer: -1.27524721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 + 71*x - 17. Suppose 4*d + 133 = -15. Is l(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 21*j. Let w(y) = 3746*y**2 + 5*y - 3. Calculate b(w(l)).\nAnswer: 78666*l**2 + 105*l - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5.482+0.5\nAnswer: 5.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045*u = -1052*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, 76\/11, 11\/36 in ascending order.\nAnswer: 11\/36, 76\/11, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 300856.826 and -7506?\nAnswer: 308362.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -239 and 2092207?\nAnswer: -500037473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -277 = -302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581067329?\nAnswer: 19, 30582491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8899 + -8901. Let v = -18.5 + 19. Which is the fourth biggest value? (a) -1 (b) -6\/7 (c) q (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 > -9651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -67, -65, -33, 35, 145, 303, 515?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 49. What is the highest common factor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51619347?\nAnswer: 3, 13, 441191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 10 = -40. Solve -r*x - 10 = -16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5956632 and 137\/5956632?\nAnswer: 5956632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:35 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1616 - 77 - 604)*(-2*v + 4*v - 2*v**2 + 0*v) in the form k*v + j + b*v**2 and give k.\nAnswer: -4594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9684)\/(-36) - (-2)\/1. Suppose 5*q - 390 = -o + 5*o, 3*q = -5*o + z. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 230*l - 1. Let u(s) = 82*s**2 - 24*s**2 - 20*s**2 - 15*s**2 - 24*s**2. Determine u(d(n)).\nAnswer: -52900*n**2 + 460*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -72. Let l be 7*((-6)\/(-63)*39 - g). What is the derivative of 18 - 4 + l - 15*q**3 wrt q?\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:01 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -1 - 1) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from hyeywjyexwe?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -146?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51.99947 + -52. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let t = 2 - h. Let d(q) = q - 9. Let p be d(6). What is the closest to t in p, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -20. Calculate the highest common divisor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 0*c + 4*c - 7*c - 7*c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:03 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6338800?\nAnswer: 2, 5, 13, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 273, 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90730 = -7*q - 297930. Round q to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18614860 divided by 3722972\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 7*k**6\/40 + k**3\/3 + k**2. Suppose 3*h = 4*i + 109, -4*h = -2*h - 2*i - 76. What is the remainder when s(2) is divided by h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(847) + sqrt(847) + -1 + 0 - sqrt(847) - (0 + -2 + sqrt(847)))**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 16. Let b(f) be the second derivative of -f**5\/20 - f**4\/6 + f**3\/2 + 3*f**2\/2 + f. Let z be b(r). Let q(v) = -v**2 + 3*v - 3. Determine q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -457531*w**3 + 4041*w**2 + 4041*w + 8082. Let y(a) = 453*a**3 - 4*a**2 - 4*a - 8. Determine 4*d(f) + 4041*y(f).\nAnswer: 449*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -49*n - 1. Suppose i + 18 = 4*i - 3*x, x + 14 = 5*i. Suppose 4 = 4*o, -i*b + 5*o - 6 = o. Does 16 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3*r - 7*r)*(1305 - 493*r**3 - 1305).\nAnswer: 493*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, -164, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - k - 26 = 4*k, -5*r = -3*k - 22. Solve -3*m - 25 = -4*d - r*m, 25 = d - 4*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*r**3 - 178*r**2 - 1032*r + 72.\nAnswer: 2*(r - 6)*(r + 3)*(29*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345339 and 72.\nAnswer: 2762712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at least -1202\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((165\/2)\/11)\/(70*26\/1456).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1052.0526 + -0.0526. Let i = -687 + g. Let n = -396.7 + i. What is n rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -247 (b) -1\/3 (c) 1717.2 (d) 3 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3576.863 years?\nAnswer: 42922.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**2 + 14*t + 31. Let d be h(-6). Solve -4*i - 30 = d*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 21242*k - 109. Is v(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 1. Let r = 42 - 39. Suppose -2*u - 5 = i, 3 = -i - r*u - 3. Let v(l) = 4*l - 1. Calculate i*b(w) - 4*v(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(sqrt(12)\/sqrt(4)*1 - sqrt(1200)\/sqrt(4)))**2.\nAnswer: 72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2. Let i(j) be the first derivative of -2*j**3 + 64. Calculate m(i(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-512)\/(-80) + ((-7)\/(1 - 2))\/(-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.39 days to microseconds.\nAnswer: 59736096000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(90\/(-8))\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1. Let u(r) = 5*r + 1. Let h(k) = -u(k) - 2*x(k). Is 9 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -778026 divided by -1\nAnswer: 778026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16441 (base 16) in base 12?\nAnswer: -44941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 628*s - 1227*s - 70 = -637*s, 4*s - 34 = -2*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u - 15. What is the biggest value in u, -4, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 34. Let u = -10571 - -6543447\/619. Are u and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*u + 41 = -1117*u + 2*r, 0 = 5*u - 3*r + 49 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121201012010202 + -11?\nAnswer: -121201012010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -3*sqrt(108)*1 + -3*(2*sqrt(108) - sqrt(108)))\/((sqrt(64)*-3 + sqrt(4) - sqrt(4))*-1).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, 6 in decreasing order.\nAnswer: 6, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1863 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 10*q - 25.\nAnswer: -(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 62*j**2. Let s(u) = -16*u**3 + 186*u**2. Let t(n) = 10*p(n) - 3*s(n). Find the third derivative of t(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 881.\nAnswer: -4\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:37 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1167, -1165, -1163?\n\"Answer: 2*u - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -2a0c?\nAnswer: 29e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 2 - (-1003950)\/47817 - (-1)\/(-11)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.5 + 12.5. What is the closest to 0.4 in k, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9057 divided by 20\nAnswer: 9057\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 21*c**4\/2 - 7*c**3\/3 - 2*c**2 + 4*c - 1. Let i be o(6). Round i to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 3*q + 3. Let v be m(3). Suppose -v*c = -5*w - 14 - 3, -2*w = 2*c - 6. Let p be (1 + 2\/6)\/(8\/(-12)). Sort 3, c, p in ascending order.\nAnswer: p, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 - i**2 + i**2 + (4*i + 2*i - 4*i)*(-13*i**2 - 58*i**3 + 13*i**2))*(-5*i + 4*i + 3*i).\nAnswer: -230*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.2 (c) -1\/2 (d) -5 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 8. Let k = -29841 - -29843. Which is the second smallest value? (a) g (b) k (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 12*o + 3. Let t = 14 - 11. Let n be d(t). What is the greatest common divisor of n and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4) + 1 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18372520?\nAnswer: 2, 5, 459313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -19. Suppose -5*z - k + 13 = 0, j*k - 5 = 3*z + 1. Suppose 2*o + 2*u - 9 = 1, -2*u = -4*o + z. Solve -o*t - 3*t = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 48*n**2 + 6 + 49*n**2 + n**3 - 2 in the form d*n**2 + v*n + p + t*n**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2946*s + 14286. Determine v(5).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 1696 - 1174 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*(x\/x**(11\/4)*x)\/x*x*x)\/x*x)*x)**(-4\/7) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sninnlininxnninx. Give prob of sequence ls.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -2.6. Suppose 0 = -2*u + 2*d - 12, -4*u = -6*u - 5*d - 40. Put u, 0, p in descending order.\nAnswer: 0, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52187277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d + 48. Let z = 29 + d. Solve 15 = -2*b + z*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-1 + (-6)\/(-9)). Suppose -n*y + 16 + 12 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 23 + 23 = -14 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 31 - (-81 + 45). Suppose 13 + 19 = 4*b. Solve o*i = 4*g - 2*g + 13, 3*i - g - b = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p. Let w be n(-1). Let y = -0.2 - -9.2. Let u = 9.5 - y. Which is the nearest to -3? (a) u (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b - 63 = 0. Let g be (-74)\/(-14) + 6\/b. Suppose 4*a - 24 = -g*x, -x + a = -2*a - 1. Solve -x*s + 9 + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*s - 4*m, 5*m - 30 + 10 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 805*k + 800.\nAnswer: 5*(k - 160)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176863356 to the power of 1\/2, to the nearest integer?\nAnswer: 34305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1112*a**3 - 2*a**2 - 347*a - 1047. Let d be w(-3). What is d rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.1 (c) -10 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65375807*k**2 - 11751466 wrt k.\nAnswer: -130751614*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137735, -137676, -137617?\nAnswer: -137558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192656, -382250, -571842, -761432, -951020, -1140606, -1330190?\nAnswer: -1519772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 + 54*f**3 - 27*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 211 = 131 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.7 (b) 4\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0.25 (c) -6 (d) -1\/3 (e) 0.09733\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61546 = -153*z + 221278. Calculate the greatest common factor of z and 1624.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 5727683?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954 a factor of 1567009632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyykyhwywycwuwwyh. Give prob of picking 1 w and 1 c.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75807.18l in millilitres?\nAnswer: 75807180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/5, 0.85, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 76*n**3 + 280*n**2.\nAnswer: 4*n**2*(n - 14)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -670*l**2 + 24*l - 25. Let h(i) = 335*i**2 - 11*i + 12. Let t(v) = 9*h(v) + 4*n(v). What are the prime factors of t(-2)?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 3, g: 4, r: 2, i: 2}. What is prob of sequence ri?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.053 less than 28775?\nAnswer: 28760.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -676c + 3?\nAnswer: -6769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1023*j - 2*j**2 + 6027*j + 5844 + 6*j**2 - 292*j - 910*j = 0. What is j?\nAnswer: -1461, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 547, 546, 545?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 48 = 10*l - 70. Which is the nearest to 0.4? (a) -2 (b) 1.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*f - 4. Solve 2*l - l + 2 = f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 2*l**2 + 4*l + 3. Let b(x) = x**3 - 2*x**2 + 3*x + 3. Let v(f) = -6*b(f) + 5*k(f). Is v(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwdxqywxdxw. Give prob of picking 1 w, 1 d, and 1 y.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2 - 1. Suppose -5*h + 10 = -h + 3*u, 4*u = -3*h + 11. Let c(s) = -9*s**3 - 6*s**2 + 8. What is h*c(t) + 6*f(t)?\nAnswer: -3*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1 + 2)\/(-2). Suppose z*j + j = 0. Let r(l) = l**2 + 5*l + 4. Let i be r(-5). Solve j = -i*f - 3*a - 20, -4*f + 0*a - 20 = -a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4\/2 + n**2 - 7. Is t(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828093 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 459, 466, 465, 450?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*v - 7. Suppose v*m = 4*k + 6, 2*m - 6 = -m - 5*k. Solve -2*b + 12 = 4*i, 6*b - 22 = -m*i + b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*d + 2 + 33, 0 = 3*t - d - 100. Suppose 5*n = h - 54, -6*h = -3*h + n - 98. Let y = h + -17. Calculate the remainder when t is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 40 + 14 = 0. Solve 3*x - 5*x = a*f + 3, 3*x + 3 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w**2. Let j(u) = 3*u - 16. Let z(s) = -46*s + 128. Let t(m) = -24*j(m) - 3*z(m). Determine n(t(a)).\nAnswer: 43560*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 + w**2 - 451*w. Let s(x) = -1121*x**2. Give s(c(z)).\nAnswer: -1121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 2*v - 26. Let l be 31\/(-279) - (-46)\/9. Give k(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 10*r**2 - 1369*r + 14838. Calculate g(11).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103295 * 273.8.\nAnswer: -28282171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(540) + sqrt(540)*-3))\/((sqrt(320) - (sqrt(320) + -3*sqrt(320) + sqrt(320)))*-1).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -244623 divided by 3\nAnswer: -81541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 175\/15*(-4)\/(-21) and ((-60)\/25 + 2)*(-103)\/4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4510550 + 123?\nAnswer: -4510423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -15. Let m = k + -2. Suppose -16 = -c + m. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2666 - -2666. Solve f = -60*m - 25 - 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 s, and 1 o when four letters picked without replacement from {z: 8, b: 1, o: 6, s: 4, q: 1}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3 - -2) + 1)\/(-2). Let y = 2 + z. Let l = -2 + y. Let v(q) = -q + 5. Calculate v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, y: 1, f: 3, w: 3}. What is prob of sequence wr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*h**5 + 365*h**4 - 4*h**3 - 731*h**2 - 2*h - 1411.\nAnswer: -660*h**2 + 8760*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65886688 to 4 decimal places.\nAnswer: -0.6589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 42\/197, -2\/9 in decreasing order.\nAnswer: 2, 42\/197, -2\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)\/p)**(22\/9)*p**7\/(p**9*p) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -112501 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1629 = -473*z + 469*z + f, 1647 = 4*z + 5*f. Calculate the highest common factor of 456 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -6*q**2\/11 + 189294*q - 20821740\/11 = 0.\nAnswer: 10, 347029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15266, 15263, 15260, 15257, 15254?\nAnswer: 15251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 6*u - 19. Let c be d(9). Suppose -c*m + 3*m + 32 = 3*j, -5*m = -2*j - 12. Calculate the lowest common multiple of j and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24088363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**3 + 2 + 13*q**3 + 2 - 4.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(720)*1)\/sqrt(9).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3, a = 2*x + 5*a. Suppose -2*b + 2 = -h - 5, b - x = 0. Let s be 1*h\/15*1. What is the biggest value in -2\/5, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*w**2 + 4*w**2 + 88*w + w**3 + 8*w**2 as n + o*w**3 + l*w + b*w**2 and give l.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-35))\/((-72)\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d**3 - 3*d**2 - d + 6. Let q be g(-2). Suppose -2*s + 238 = -q. List the prime factors of s.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000199 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 1. Let l = -55 + 53. Let g(u) = u**3 - 11*u**2 - 7. Let t(w) = l*g(w) - 14*q(w). Determine n so that t(n) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-135)\/(-6))\/(275\/330). Calculate the highest common divisor of w and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - b5b?\nAnswer: -b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 321015448 from -1426.\nAnswer: -321016874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1187?\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 4, d: 4, k: 10}. What is prob of picking 1 t and 1 d?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -19. Are i and 7 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 32*y + 16. Let k be z(-11). Let a be k\/(30\/12) - 26\/(-2). Solve -a + 3 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/162 and -59\/972.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1315 = h - 5*k - 3836, -k = -h + 5171. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5\/4, 0, 1\/14, -0.15?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + 15*i + 17. Suppose 2744*l - 2715*l - 174 = 0. Give g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2432 - -2432.1. Which is the closest to -3? (a) -5 (b) -3\/2 (c) -0.1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041037 to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 7*g + 34*g + 0 + 15 - 9. Suppose -14*k = -17*k + 24. Calculate the remainder when r(k) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 363*i - 1839. Is 8 a factor of s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/82052067 and 41\/15297843.\nAnswer: 902572737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 258.7 and -109.\nAnswer: -28198.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4455)\/(-6) + 7\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m + 4. Let o(j) = 13*j - 1. Let n(q) = 12*q. Let x(z) = 4*n(z) - 3*o(z). Let s(u) = -4*d(u) + 5*x(u). Give s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57308, -229160, -515554, -916490, -1431968, -2061988?\nAnswer: -2806550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*(63\/(-7) - -54). Suppose z*t = 413*t - 9648. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.902 + 38.4. What is j rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 4*l, 2*w = -w + 3*l - 36. Let o = -7 - w. Determine f, given that 6*f**3 + 15*f**o - 16*f**2 + 7*f**4 - 27*f**4 + 3*f + 4*f**5 + 8*f**3 = 0.\nAnswer: 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -3, -4\/3, -70, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 10869.979664.\nAnswer: 10868.979664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 + 3. Let j be w(-5). Let y(f) = 3*f. Let t(h) be the third derivative of h**4\/24 - 49*h**2 + h. What is j*y(r) - 8*t(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54568?\nAnswer: 2, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 148.7260845 milliseconds?\nAnswer: 0.00000024590953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (5 + 6\/(-2)). Let l(n) = -6 - 15*n - 1 + n**p + 8*n. Let x be l(8). Solve x = o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -6279*m**5\/10 - 11171*m**3\/6 - 9*m - 69. Find the second derivative of u(x) wrt x.\nAnswer: -75348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 254*v**7\/105 - 697*v**4\/24 - 893*v**2. Find the second derivative of z(s) wrt s.\nAnswer: 6096*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 111*z**2 - 56*z + 23. Let v be n(-56). Let q be (-6)\/9*(-6)\/4. What is the closest to q in v, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*i*w + 5*g*i - 21110*g*w + 2*g - 1304*i*w + 2*i + 4*w with respect to i.\nAnswer: -4*g*w + 5*g - 1304*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lflfuulflfuulfff. Give prob of sequence llff.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2325708.\nAnswer: 2, 3, 7, 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35772 (base 9) to base 6.\nAnswer: 302532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 562 (base 7) to base 5\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/3 (b) -6 (c) 21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8414\/1881 + -6\/209. Calculate the common denominator of u and 86\/75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12062.0457 rounded to zero decimal places?\nAnswer: 12062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2823 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -9 (c) 0.1 (d) -3\/7 (e) 1\/18 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r**3 - 7*r**2 + 11*r - 1. Let b(q) = q**3 - 2*q. Determine 4*b(h) + g(h).\nAnswer: -4*h**3 - 7*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9654 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1471.\nAnswer: -5\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 s when three letters picked without replacement from qkzqss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 16\/5 + 2\/5*w**2 + 12\/5*w = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 697680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -22*b**5 + 24488*b**4 + 4048788*b**3 + 147780496*b**2 - 672440846*b + 59906616 = 0.\nAnswer: -77, 1\/11, 4, 1263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 130 = w, 5*d - 3 = -5*w + 597. Let a be ((-4)\/4)\/((-1)\/w). Suppose 0 = 8*q - a - 294. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/29, 184, 0.4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 34*u**2\/3 - 160*u\/3 + 128\/3.\nAnswer: -2*(u - 8)**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(-2*sqrt(125) - sqrt(5)))**2.\nAnswer: 132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Let v = k + 3. Suppose 2*y = 2*o + 16, 4 = o - v. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*v, -3*v + 4 = -j + 2. Let h = -155 + 99. Let d be 808\/(-3474) + 1 + h\/72. Is d less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h. Suppose 3*o + o - 587 = -5*f, 4*f = -5*o + 727. Let b(u) = -293*u + 147*u + o*u. Determine g(b(x)).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2958, 3, 2, -5 in ascending order.\nAnswer: -2958, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 40*v**2 + 198*v - 2. What is j(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*s + 424*s = -352*s - 39650 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u = 4*o - 92, 0 = -5*u + 2*o + 74. Let b(y) = -6*y + 196. What is the least common multiple of b(20) and u?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -4, -1, 2 in descending order.\nAnswer: 20, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526, -481, -436?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 38 = 2*r + 12*j, 2*j - 4 = 0. What is the greatest common divisor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -2\/13, 3, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 16. Solve -u*s = -2*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41524 - 41524 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 573561888 divided by 6\nAnswer: 95593648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 - (0 - (0 - -3)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*t + 66. Is (-187728)\/(-64) + 2\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0017, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c - 8. Let a(k) = 17*k**3 - 8*k**2 - 8*k. Let d(t) be the third derivative of -t**6\/20 + t**5\/20 + t**4\/8 - 4*t**2. Give c*d(u) - 3*a(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -25*a + 26*a - 7067, 5*a - 5*f - 35285 = 0. What are the prime factors of a?\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12.14. Let s = g - -0.12. Let u = 39 + -116\/3. Which is the nearest to u? (a) s (b) 0 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -42. Let x be i\/18*8\/6. Suppose -5*r = -q + 20, x*q + 2*r + 8 = 4*q. Which is the nearest to q? (a) -3 (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(68))\/sqrt(4) + 0 + 0.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -56 - (34 + -38)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 1 + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 5 + 7*z**4 + 2*z**3 - 2*z**4 - 3*z**3 as n*z + r + j*z**4 + k*z**3 + m*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93087*r = -93012*r - 75 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*k**4*n - 6*k**3*n + 12*k*n + 2*n wrt k?\nAnswer: -156*k**2*n - 36*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24740 and -81\/22?\nAnswer: 272140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 57. Suppose 21 = -d*x - 5*i, -3*x + 0 = -2*i - 16. Suppose -x*s = -6*s + 160. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g**2 + 22 + 1\/3*g**6 - 2*g + 3\/5*g**5 + 4*g**3 + 0*g**4. Find the third derivative of q(d) wrt d.\nAnswer: 120*d**2 + 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.43429 and -73.\nAnswer: -104.70317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 4*m + 5. Let f be l(-2). Let i(h) = -h**2 - 8*h + 6. Let w(k) = -k**2 - 7*k + 5. What is f*i(p) - 6*w(p)?\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3574*n**4 + 4020*n**2 + 11. Let k(z) = 714*z**4 + 804*z**2 + 2. Let c(m) = -2*h(m) + 11*k(m). What is the third derivative of c(j) wrt j?\nAnswer: 16944*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1621, -12619, -42405, -100393, -195997, -338631, -537709?\nAnswer: -802645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3\/4, 12, -1, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 845232.8 millennia?\nAnswer: 10142793600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 40. Let n = 48 + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 17*b + 16. Suppose -3*a + 130 = -2*g, -3*g = a + a - 104. Calculate the remainder when a is divided by j(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*h = 84*h - 4260 + 260. Solve -21*u = -h*u + 24 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5232)\/60)\/(4\/(-10)). Suppose -n + 20 = -s. Suppose 5*g - s = 2*u, -u - 3*u = -4. 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: Collect the terms in 2*j**2 - 25 + 16 + 9.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = w + 42, -4*w - 9*i = -8*i + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115263 is divided by 38386?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**3 + 0*v**2 + v + 24 + 52\/5*v**5 + 0*v**4. What is the third derivative of z(h) wrt h?\nAnswer: 1248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 1, o: 2, y: 1, e: 3, l: 4}. Give prob of picking 2 o and 1 e.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 46*q + 14*q**2 - 10*q**2 - 36*q + 56*q.\nAnswer: -4*q**2 + 66*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 5) to base 12\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -335, -503, -671, -839?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvdqqyynkdd. Give prob of picking 1 q and 1 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 279443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**5 - 34*o**4 + 12*o**3 + 152*o**2 - 144*o - 64 = 0. What is o?\nAnswer: -2, -1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccddcccddc. Give prob of sequence dcdc.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.188 - 0.528. Let h = d + 0.33265. What is h rounded to four decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 18*d + 79. Determine h(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*v - 2697, 3*v - 3*x = -v + 5433. Let z be (-3)\/(-21) - v\/(-14). Suppose 0 = -z*f + 99*f - 4406. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*a + 5408 = -301*a. What is the highest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let t(g) = -135*g. Let a(s) = 134*s. Let r(n) = 7*a(n) + 6*t(n). Give q(r(v)).\nAnswer: -256*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 388 divided by -1\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**5 - 6*h**4 - 28*h**3 + 4*h**2 - 3*h + 4.\nAnswer: 240*h**2 - 144*h - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:51 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8925 by -1275.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130.5 + -130. What is the smallest value in -0.5, l, 1, 20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 78 = 2*p + p, -3*p + 3*r = -63. Suppose p*l = 17*l + 4669. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 6579, 2617?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4161735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.33, -2, 1750?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o + 3. Let v be b(-2). Suppose 0 = z + 3*z + 20, -2*u = 5*z + v. Let x(h) = h - 6. Let k be x(u). Which is greater: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02513 + 0.28193. What is c rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*g - 540*g - 5470 = 0. Let q = -741 + g. List the prime factors of q.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-105)\/(-14) + 1\/2. Suppose 0 = -8*m - q + 32. Solve 6*k = -a + k + 10, -m*a = -3*k - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2413*f + 14314. What is s(-6)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - q - 4*q = 680, 4*q + 139 = t. Let o = t + -118. Solve -x + 5*x - o = 5*h, -2*h = -5*x + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 9*l**2 + 5*l + 21. Let q be h(8). Let d be (135\/(-42))\/(-5) + q\/6. Put -0.1, d, -2, 0.3 in increasing order.\nAnswer: -2, -0.1, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3.39, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10745739197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3 + 4040*h**2 - 2*h + 1819 wrt h?\nAnswer: -12*h + 8080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1*((-4 - -3) + 2). Suppose -4*i - 154 = -2*k, 4*k - i - 127 - 153 = c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-1 - -1) + 5. Let k(d) = d + 7. Let h be k(-4). Let y = 3209\/3 - 1070. Which is the closest to y? (a) z (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1405525 and 34028500.\nAnswer: 646541500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/(8\/(-16)). Let v(x) = x - 2. Calculate v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001*838696.\nAnswer: -838.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485*a*c - 2*a - 603 with respect to c.\nAnswer: 485*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.6004 nanoseconds in microseconds?\nAnswer: 0.4076004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*g + 94*g = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -2*w**2 + 39. Let y(p) = 5*p. Calculate a(y(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-1 + (32 - 16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.8 - 15.885. Round h to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100962560 by 80.\nAnswer: 1262032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -3, 309 in descending order.\nAnswer: 309, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -31. Let z be 4\/b - 606\/(-15). Let a = z - 5. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 21*t**4\/4 + 25*t**3\/6 + 80*t - 19. Let b(v) be the first derivative of i(v). What is the second derivative of b(o) wrt o?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1927 + 1922. Which is the third biggest value? (a) u (b) -3 (c) 1.6 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 - -5.7. What is the third smallest value in -0.5, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**3 + 7*j**2 + 9*j + 2. Let u(a) = 268 - 6*a + a - 3*a**2 + a + 2*a**3 - 269. Calculate -9*u(y) - 4*z(y).\nAnswer: 2*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 2*j**3 - 3*j**2 - j**3 + 11 - 6*j**2. Suppose 978*c - 15 = -4*y + 981*c, -38 = -5*y + c. Give u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 25 = 15. Suppose -3*v + v = -n. Suppose 2*j - 3*j - 5*p = 18, -v = p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 224, 1518, 4948, 11582, 22488, 38734, 61388, 91518?\n\"Answer: 178*t**3 + 48*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/4)\/m)\/(m**25\/m)*m*m**9*(m**(1\/16)\/m)\/m)**43 assuming m is positive.\nAnswer: m**(-11137\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:53 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*h + 1355, -2*h - 1084 = -6*h + 2*b. Let j = h - 26. Let f be (-2)\/11 - j\/(-77). What is the highest common factor of 15 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**2 + 98*f - 265*f - 4 + 170*f as p + w*f + o*f**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 47, 20, -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014415 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - (0 - 1)) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13425192 divided by -99?\nAnswer: 135608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -567\/5 + 114. What is the nearest to 1 in 2\/15, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a + 6*a + 96. Let k(v) = -v**2 + 5*v - 3. Give k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 57*x**2 + 68*x + 1856. Is 6 a factor of b(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.46 - -122.05. Let p = 124 - l. Let o = -0.48999973 + p. Round o to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 - 23) + (-6)\/1. Which is smaller: -4.5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 - 184. Let x = 5.9 - 2.9. Sort -5, k, x, 0.2 in increasing order.\nAnswer: -5, k, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from {h: 6, d: 1, y: 4, l: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + f - 4*p, 4*p = 0. Let a be -2*(3 + f)*-1. Suppose -21 - 9 = -2*g. Solve a*u + u - g = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)\/(4 - (6 - 3)). Let f(m) = 3*m**2 - m - 1. Give f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (43 - 13)) + 28?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1349208l to millilitres.\nAnswer: 134.9208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5324*a**5 + 90992*a**4 + 435776*a**3 + 405760*a**2 + 139264*a + 16384.\nAnswer: 4*(a + 8)**2*(11*a + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430400 and 64960?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1606, -3210, -4818, -6430?\nAnswer: -8046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -103 - -118 - (1 - -1). Which is the third biggest value? (a) q (b) 1 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2646 - -11.2646. What is the closest to 1 in s, 13, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 1 - s**3 + 3*s**3 + 5 - 2 to the form c*s**3 + d + x*s + u*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08151491668 minus 5.6?\nAnswer: -5.51848508332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 39 = -17*x + 18*x, 34*x + 84 = 2*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5707022.89 rounded to the nearest ten thousand?\nAnswer: -5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 10:24 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 11. Let p be c(-6). Let i = 92 + -62. Suppose p*q - 8*q + i = 0. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/((-50)\/(-6)))\/(2\/30). Solve -13*t + f*t = 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/((-966)\/(-36))*7\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3)*i\/(i*i**0))**(-1\/30) assuming i is positive.\nAnswer: i**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9493 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21732713 and 6813?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-795)\/20)\/((-4)\/(-112)). Let o = u + 1571. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v - 6*v - 70*v**2 + 19*v in the form b*v**2 + q + j*v and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l - l**2 - 19*l - 5*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65621112 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8 - (-2 + 17)) + 45 + -14 + -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1141211 at least as big as -1141213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 3*r**2 + 0*r**2 - 2*r + 2*r + 2*r**2 + 4*r**2 + 11*r**2 + 5*r**2 + (4 - 2*r**2 - 4)*(-3 + 3 + 1))*(-4 + 0 + 0).\nAnswer: -76*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (31 - 24480\/792)*(-2)\/(8\/(-22)). Suppose -1\/10 - y**2 + 1\/10*y**5 + 1\/2*y + y**3 - q*y**4 = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1447 or -1394?\nAnswer: -1394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 54436*-1\nAnswer: -54436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094975 rounded to 6 decimal places?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4\/7)\/(2*(-4)\/(-56)) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 - 14*p + 17. Let c be h(8). Let t = c + 438. What is the remainder when 44 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**2 - 1 + 4*g**2 - 6.\nAnswer: 30*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10 = -2*n - 0*n, -l = -3*n + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let j(x) = x**2 - 9*x + 6. Let b be j(8). Let r be q(b). Is 3 + r + (-1323)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q**3 - 290621*q + 290621*q.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*r - 63*r = -217 - 479. Factor -4\/3*s**2 + 16\/3*s - r.\nAnswer: -4*(s - 3)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5) + sqrt(80) - sqrt(605)*1 - sqrt(30)\/(sqrt(6) + ((sqrt(96) - sqrt(6))*4 - sqrt(6)))) + 0)**2*3*3.\nAnswer: 219*sqrt(5)\/2 + 26789\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -103. Let q = 451\/954 + -3\/106. Which is the nearest to -1\/2? (a) g (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.6281048 milliseconds to hours.\nAnswer: 0.000002118918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520356455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/6)\/4 + -12. What is the tens digit of ((-152)\/(-6))\/((-1)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63*-148028\nAnswer: 9325764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1348 - -1348. Solve -4*d + 15 + 1 = o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -49\/2?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 3) + 8 - (1841 + -1832)) + (105 - 0).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from afufp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.854564 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 0*(-4 - -3). Let k be 129\/15 + v\/(-10). Suppose -2*n - 2*x = -8, 3*x + k = 2*n - 4. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r. Let y(h) be the first derivative of h**4 + h**3\/3 + 5*h**2\/2 + h - 44124. Let d be (-4 + -2)*-1 - 1. Give d*q(f) + y(f).\nAnswer: -f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/23 (b) -0.09 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o**2 + 267*o. Let x(d) = 40*d. Determine x(q(j)).\nAnswer: -480*j**2 + 10680*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 70*z**2 - 138*z - 4 = 0.\nAnswer: -1\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 1. Let x = -1 - 11. Let o be 12\/18*(x - 0). Let z(l) be the first derivative of -5*l**2 - 8*l - 1. What is o*q(f) - z(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 6*d - 80. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 13*d**2 - 4*d**2 + (5 - 3 - 3)*(-2*d**2 + d**2 - 5*d**2).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 30, 49, 68, 87?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133 or 7679\/58?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**6\/15 - 9*x**5\/10 - 29*x**4\/2 + 305*x**3\/3 + 1950*x**2 - 6017*x. Factor m(b).\nAnswer: 2*(b - 13)*(b - 6)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgko when four letters picked without replacement from {o: 2, g: 9, b: 3, k: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018328.\nAnswer: 2, 127291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7. Suppose -4*s + 6*y - 2*y = -24, s - 26 = -3*y. Calculate the remainder when s is divided by ((-15)\/25)\/(q\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1564*b - 1557*b + 56 - 147 = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 9*j + 1. Let r be t(10). Is (r\/(270\/24))\/((-2)\/115) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081422.\nAnswer: 2, 3040711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = 6*m. Suppose 0 = -2*v + 6, t - 5*t - 3 = -5*v. Put -4, 1, m, t in descending order.\nAnswer: m, t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 9}. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14) - (-29)\/(-525)*-5.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-260)*30*(-33)\/88\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - c + 583*c**3 - c**2 + c**4 - 580*c**3 in the form l*c**3 + q*c**4 + u*c**2 + z*c + s and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4077.7668ns to hours.\nAnswer: 0.000000001132713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**2 + 93*b - 183*b + b**3 + 87*b - 2*b**4 + 1 to y*b**4 + m*b**2 + p*b + l*b**3 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7937, 3609, -719, -5047, -9375?\n\"Answer: -4328*r + 12265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -523 - 4?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 3*n + 3. Let a(t) = -3*t**2 - 5*t - 7. Give 3*a(m) + 5*q(m).\nAnswer: m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n + 6*n - 17*n + 22*n.\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 9100.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 4*w - 4*w)*(-w + 2*w + w) + w**3 + w**3 - w**3 - 85*w**3 + 187*w**3 - 95*w**3 - 2*w - 1 in the form s*w**2 + y + p*w + q*w**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150745*q + 3850371 - 3850371.\nAnswer: 150745*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 74, 30, -132, -412, -810, -1326?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = 5. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-496)*(-55)\/((-3960)\/(-96)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 8, 310, 11 in ascending order.\nAnswer: -4, 0, 1, 8, 11, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*u - 196*u - 9 = -2*l, 0 = 2*u - l + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 q when four letters picked without replacement from qnqqqnqqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 6 = 0. Suppose m - p*m = 4. Calculate the remainder when 22 is divided by ((-5)\/15)\/(m\/72).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4662, 9360, 14068, 18786, 23514, 28252, 33000?\n\"Answer: 5*f**2 + 4683*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**2 - 6*t - 7. Let s(o) = 13*o**2 + 12*o + 13. Let f(a) = -7*g(a) - 4*s(a). Find v, given that f(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14 + 1 + -13 + 3094\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 - 68328515161\nAnswer: -68328515216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 353 + -4?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 1. Let o(q) = -6*q**2 + 1. Let k be o(-1). Let t(r) = -10*r + 5. Let j(y) = k*f(y) + t(y). Let b(s) = -3*s**2. Give j(b(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.522ug to milligrams.\nAnswer: 0.070522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 770, 1584, 2396, 3206, 4014, 4820?\n\"Answer: -x**2 + 817*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13074 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -959\/293 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 + 9*k - 4. Let o(h) = 15*h**2 + 18*h - 8. Let w(m) = 5*l(m) - 2*o(m). What is the remainder when 157 is divided by w(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a**3\/3 + 31*a. Let h(d) = 3*d**2. Determine h(n(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7740.06 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 2 (b) -10 (c) -5\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 - 0 - (5 + 4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2962 in 0.99, 2, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 30*o**3 + 26*o**3 + 4*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 3. Let o(u) = 4 + 4 + 10*u - 8*u. Let b be o(-5). Determine d(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-8))\/((-1)\/(-2)). Let j(z) = -38*z**2 - z. Let b be j(k). Let r = b + 72. What is the greatest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677 = -29*b + 2600. Suppose 16*v + b = 1201. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20934780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*o - 12 = 0, 9*l + 6 = 4*l + o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8428590 by 15903.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.041 - -0.041. Which is the fourth biggest value? (a) -0.4 (b) f (c) -7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -269 + 131. Let g = 137.4004471 + 0.6009729. Let n = w + g. What is n rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736344183 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o**(-2\/11))\/(((o*o**3)\/o)\/o**(8\/5)))**(-8) assuming o is positive.\nAnswer: o**(2896\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7424.655cm in kilometers?\nAnswer: 0.07424655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:12 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 39. Calculate the least common multiple of 6\/9*495\/10 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*j - 1339 + 1260 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 + -0.6. Which is the third smallest value? (a) h (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let a be 10\/15 + (-32)\/(-6). Let b be (1 - (-2)\/a)*3. Let d(z) = -4 - b*z + 4. Give l(d(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2\/125 of a second?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/1)\/(-1)*-1. Is ((-5)\/2)\/(a\/(-6)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 - 3*p - 11. Let o(g) = -4*g**3 - g**2 + 4*g + 10. Let u(c) = -3*k(c) - 4*o(c). Let m(q) = q**2 - 57*q + 735. Let d be m(20). What is u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**3 - s**2 - s. Let y = 30402 - 30398. Calculate the remainder when g(-1) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1684809, 1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9))\/(4\/6). Let b be (-5 + 27\/7)*-7. What is the highest common factor of d and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27927 and 4698?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.1 rounded to zero dps?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 70*c**2 - 11980*c - 10310. Determine t(172).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3154 and 5076280.\nAnswer: 96449320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (2*81\/(-36))\/(2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 (base 9) to base 12\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1452) + sqrt(1452) - (sqrt(36) + sqrt(900) - sqrt(36) - sqrt(36))\/sqrt(3))\/(sqrt(72)\/(sqrt(12)*-2) - sqrt(216)*1).\nAnswer: 30*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 5. Let s(y) = -y + 3. Let b(v) = -5*a(v) - 7*s(v). Let j = 112 - 63. Calculate the remainder when j is divided by b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -83. Let t = s + -19. Calculate the smallest common multiple of ((-4)\/6)\/(6\/(-9)) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 - 15?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -21. Let x = l + 31. Solve 4*m + m = o + x, 0 = 4*m + 4*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p - 44950650 + 44950650.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + z - 1. Let q be b(-1). Suppose 4*u + 24 - 8 = 0. Let g be 621\/(-1620) - (1\/u - 0). Which is bigger: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 5, n: 1, a: 2, f: 2, d: 6}. What is prob of sequence ddtf?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397670, 795302, 1192934?\nAnswer: 1590566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 - 1) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24771?\nAnswer: 3, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/15 - 6\/(-15). Let f be x + -1 + (0 - -2). What is q in -3*q**f + 2 - 3 + 0*q**3 + q**3 + 0 + 3*q = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279517146 by -3.\nAnswer: 93172382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + 3)) + 18 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.17.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(70)\/sqrt(7))*2 - 4*sqrt(14)\/(-6*sqrt(7)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytoyuoku. Give prob of sequence ooyu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59173.7037 rounded to the nearest one hundred?\nAnswer: -59200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 7*z**2 + 3. Let b be v(6). Suppose -3*i = -3*j - j + b, -j + 2*i = -11. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let r = 104.9255 + -104.8955. Sort -11\/6, r, m in decreasing order.\nAnswer: m, r, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(24*12\/192).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 873, 487, 103, -279, -659, -1037, -1413?\n\"Answer: w**2 - 389*w + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 + 9*q + 229 - 8*q.\nAnswer: q + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*l = -2 - 22, 0 = x + 3*l + 10. Suppose 8 + 10 = x*j. Let t(z) = 10*z - 13. Is t(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n + 1. Let x(w) = -w**2 + w + 1. Suppose -27*d + 12 = -23*d. Let k(h) = d*x(h) - 4*c(h). What is k(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**3\/3 - 287. Let i(y) = 8*y + y + 14*y. Determine i(q(z)).\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8) + (-264)\/16. Let m be (-88)\/b*(-20)\/(-55). Solve 5 = m*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 58*z**2 - z - 3. Calculate a(-29).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2572 is divided by 855.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/30 + 54*h**2. Let w(m) = 0 + 0 + m**2. Give w(q(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 9. Let a = v + 8. What are the prime factors of (3\/(-3))\/(a\/(-20))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. Let b = 0.4 + -0.6. Let h = b + 0.2. What is the nearest to h in -1\/7, u, 5\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26863228?\nAnswer: 2, 7, 349, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.24 + 0.24. Let o = -334 - -332. What is the closest to 0 in -0.5, o, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -1, 0.09, 0.4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*i + 3*i. Let l(v) = -v**3 + 12*v**2 + 13*v - 4. Let m be l(13). Put i, -1, 6, m in ascending order.\nAnswer: m, -1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 = -97*h - 1134 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 - 2730*v + 8145 = 0.\nAnswer: 3, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/10 - 1723*c**2\/5 - 1503136*c\/5 - 32240384\/5.\nAnswer: -(c + 22)*(c + 1712)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9388.4634 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*s**2 - 5\/9*s**3 + 5\/9*s + 4\/3 = 0 for s.\nAnswer: -12\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {r: 4, z: 4, b: 1, h: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 21*m**2 - 21*m - 15. What is a(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 10. Let i be (-4)\/(-6)*(-13 - -19). Suppose i*t - 64 = -5*p, 2*t - 14 = -2*p + p. Calculate the remainder when p is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10265.892 months to millennia.\nAnswer: 0.855491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 10*k - k. Solve 2*y + u = 0, -y + 4*u - k = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5616)\/(-260))\/(-9))\/(9\/(-5))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5313.751 meters to micrometers.\nAnswer: 5313751000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1313*r**3 + 18*r**2 + 11*r + 16. Let v be (11 - 4) + -5 + 12\/2. Let d be f(v). What is d rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 13413 (c) -0.2 (d) -0.1 (e) 0.5 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6098\/39637)\/(((-12)\/13)\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 43 = 3*q, -5*m + m - q + 39 = 0. Is m at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331170 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 6*h - 35. Let v be a(-4). Solve v*i + 4*w = 0, 2*i - 3*w + 28 = w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 5*m - 3*m)*(18*m**2 + 18*m**2 + m - 38*m**2 + 17).\nAnswer: 6*m**3 - 3*m**2 - 51*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(-3*(-9)\/243).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354573 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9348 and 920163?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 44. Let b(m) = -2*m + 15. Let n(k) = 8*b(k) + 3*f(k). Let t(j) = j + 11. Give -6*n(z) - 7*t(z).\nAnswer: -z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 1479, -6, 2\/19, -0.3, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkssgvvkvkkgukkgkg. What is prob of sequence vvv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 1\/10*h**5 + 1\/8*h**2 - 2 + 0*h**4 - 1\/24*h**6 + 0*h - 1\/6*h**3. Factor c(q).\nAnswer: -q*(q - 1)**3*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 19*g + 65. Let v be a(8). Let c(q) = -q**2 + 36*q + 207. Let t be c(v). Solve -t*l = -d - 0 - 2, -8 = 4*d - 2*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24948)\/(-154) + -222)*(-1)\/(-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s + 4*p + 23, 5*s = -5*p - 35. Let t(w) = 23*w**2 - 18*w - 95. List the prime factors of t(s).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6754504 and 6754502 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 10, 62, 27 in increasing order.\nAnswer: -2\/3, 10, 27, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*a - 352*a + 5 = 2*g + 350*a, g + 25 = -5*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 31*t**2 + 112*t + 48. Let j(r) = r. Determine j(y(d)).\nAnswer: 31*d**2 + 112*d + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*k - k. Let p = k + 33. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 40 = 29*t. List the prime factors of t\/6 - (-3399)\/9.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 71 + -5 + 4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 + -23 + 108\/9. Solve a - 11*u + 10*u + 3 = d, 0 = 4*a + u + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Suppose 0 = -2*y - a*q + q + 1094, 3*y - 1647 = -3*q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:15 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1410, 0, -3, 38, -16.\nAnswer: -16, -3, 0, 38, 1410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/60*-26 + -1)\/(-1). Suppose -3*r - 408 = 3*t - 0*t, 4*r + 276 = -2*t. Let a = -1207\/9 - t. What is the third biggest value in o, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007926 to 7 dps.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104441443 (base 5) to base 12.\nAnswer: 1a7071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1. Let d(p) = 3 - 4 + 2 + p**2 - 3*p - 5*p. Let f(o) = -4*b(o) - d(o). Let v = -316 - -320. Give f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 + 5*w**3\/3 + 3*w**2 + w - 2. Let m be v(6). Let a(i) = -2*i - 1. Let s be a(-2). Sort s, -4, m.\nAnswer: -4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*v = -0*w - 1, -3*v = 5*w - 17. Let k(a) = -25 + w*a**2 + 17 + 13. Let b(s) = -4*s**2 - 6. Determine -4*b(p) - 5*k(p).\nAnswer: -4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156983695 and 2805.\nAnswer: 470951085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/1367 + -8150\/17771. What is the closest to l in 1\/5, -2\/45, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6017490 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 538 = m, i = 2*m + 2*m - 2143. Let d = -536 + m. Which is the second biggest value? (a) 0.44 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (39936\/117)\/(3*2\/81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787088000 rounded to the nearest one million?\nAnswer: 787000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. Let h = -32 - p. Which is the nearest to 0? (a) -2\/7 (b) h (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q - 381. Calculate f(47).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22768189.\nAnswer: 61, 73, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + (sqrt(352) - 2*sqrt(352)*-1))\/(sqrt(8)*1*5))\/((-2*sqrt(120)\/sqrt(3))\/(sqrt(90)*-4)).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -111*m**2 + 560*m. Let j be x(5). Calculate the highest common divisor of j and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:55 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 440, 672, 924, 1202?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7099304880.3454 - 1.\nAnswer: -7099304881.3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18458 - -18454. Are 163.6 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-13 + (-1 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61054 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20*4606.8\nAnswer: -92136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 4*r - 41 + 66. What is the lowest common multiple of 30 and f(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5271 + 5296 = w, 5*w - 13 = o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.6597 rounded to 1 dp?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 1\/4, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318744 and 9576.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225307 is divided by 157?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26480, 26537, 26654, 26837, 27092?\n\"Answer: a**3 + 24*a**2 - 22*a + 26477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-105)\/(-30). Let p be (l - 4)*(-52)\/2. Solve p - 6 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-6 - (20 - 1)) + 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 53728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -1.124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267.08 - -267. Let m = x - -0.58. Let a(p) = -p**3 - 4*p**2 - 2*p. Let u be a(-3). Sort u, 3, m in decreasing order.\nAnswer: 3, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -11 + -51 + 70?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vzzvvvvvyyzz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5640*n**2 - 5604*n - 20. Let q(s) = -5639*s**2 - 5605*s - 16. Let k(c) = -4*j(c) + 5*q(c). What is the second derivative of k(x) wrt x?\nAnswer: -11270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 0 - 10*o + 1\/3*o**3 - o**2. Let y be m(11). Solve n + 4*n = -y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 639 - 275. Calculate the highest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*m**3 + 332*k**2 - 11*k*m**3 - 35*k wrt k?\nAnswer: 4*m**3 + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -207560, -415108, -622654, -830198, -1037740, -1245280?\n\"Answer: z**2 - 207551*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175)*-3)**2 - (sqrt(700) - ((sqrt(700) - (2 + sqrt(700) - sqrt(700))) + sqrt(700))**2).\nAnswer: -90*sqrt(7) + 3504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/7*((-1896)\/16 + -25). Let t = 1 + 2. Suppose t*r + c - 589 = 0, 2*r - c + 24 = g. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11))**(-5\/9)*n\/(n\/n**(-1\/18)*n*n)*n**(1\/7))**(2\/9) assuming n is positive.\nAnswer: n**(-31\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - 18255\/(-1521))*-3. Which is the biggest value? (a) 2 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 880457582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30235463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538.358nm in millimeters?\nAnswer: 0.003538358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 10, 76, 202, 406, 706, 1120, 1666?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 6:56 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - z + 3. Let w be ((-3)\/6)\/(((-6)\/12)\/1). Let d(r) = r**2 - r. What is w*b(k) - d(k)?\nAnswer: k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 + c**2\/2 + 5*c + 10. Let x(q) = -3*q**3 - 148*q**2 + 102*q + 100. Let a be x(-50). Calculate t(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 14519*m**2 + 232112*m - 928192.\nAnswer: (m - 14503)*(m - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, 106, 1 in increasing order.\nAnswer: 1, 3, 21, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = -4*x + 15, -5*x + 3*b = 12. Suppose x*d + 5*d + 20 = 0. Let i = 5 + d. Solve 0 = -5*z + 4 + i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4178253 + -15?\nAnswer: -4178268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*v + 308, 61 = v + j - 13. Calculate the remainder when v is divided by (-20572)\/185*6\/(-24) - (-2)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1114 - -1105. Let r(q) = -36*q - 9. Let d(h) = -9*h - 2. What is n*d(b) + 2*r(b)?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**3 - m**3 + 7*m**3)*(0*m - 3*m + m) + 5*m**4 - 2*m**4 - m**4.\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088706 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -168*q**3 - 49*q + 49. Let h = -212 - -214. Let r(i) = h - 12*i + 7*i + 3*i - 7*i**3. Give 2*m(a) - 49*r(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4\/7 - 12*o**3 + 84*o**2 - 196*o = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -310\/3185189?\nAnswer: -310\/3185189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/12 - 2*(-1)\/4 and -115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*b - 3 + (-3*b - 2*b + 3*b)*(1 + 1 + 0) + (0 + 13 - 5)*(-2*b + 2*b - 5*b) as l*b + j and give l.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277548 and 27?\nAnswer: 2497932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -1\/480*u**6 + 0*u**4 + 0*u + 0*u**3 + 0 - 1\/240*u**5 + 5*u**2. Factor c(r).\nAnswer: -r**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 12*d**2 - 3*d - 14. Give k(11).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.108, -4.6202, -3 in ascending order.\nAnswer: -4.6202, -3, -0.108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/422736 and -117\/4720.\nAnswer: 124707120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/6*0\/((-2)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23874914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699687, 1398807, 2097927?\nAnswer: 2797047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11054, -16729, -22404, -28079, -33754?\n\"Answer: -5675*t - 5379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/9 - 182*l**2\/9 - 3772*l\/9 - 6832\/9 = 0. What is l?\nAnswer: -61, -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 4 + sqrt(567) + sqrt(567) + -3 + sqrt(567) + sqrt(567) + -1)**2.\nAnswer: -36292 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 279800 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16 = 60*x - 56*x, 0 = -4*x - 5*c - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10996 is divided by 202?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 2*m + 4. Let c(i) = i**2 - i - 1. Suppose 37*w - 8 = 33*w. Let r(s) = w*c(s) + n(s). Let v be (2 - 1)\/((-2)\/8). Give r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -4, 0, -940, 276 in decreasing order.\nAnswer: 276, 0, -4, -63, -940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*d - 6476 = 0, 320*a - 4881 = 317*a + 3*d. What are the prime factors of a?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/26 - (1715\/91 + -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:55 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-5) + 80\/12*27\/(-18). Suppose -u + 0*u = -3. What is the nearest to t in u, -3\/5, -0.03?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - n - 2. Suppose -j + 2*a = 17, -3*j = -2*j - 4*a + 21. Let f = -15 - j. What is the remainder when 38 is divided by r(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*w - 1)*(-2 + 2 - w**3) + w**4 - 3*w**4 + 4*w**4 + 41*w**4 + 64*w**4 - 28*w**4.\nAnswer: 81*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 - n - 1. Let o(w) = 5*w**2 + 3*w - 5. Let i(s) = o(s) - q(s). Let h be i(-5). What is the highest common factor of 3 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 226, -115, -450, -779?\n\"Answer: 3*n**2 - 350*n + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((9 - 1) + 0)\/1. Suppose -5*o + 0*o + m = h, 0 = 5*o - 5. What is the tens digit of (-5 - -22)\/(h\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 11:23 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*r - r**4 + 563*r - 6*r**2 + 0 + r**3 + 1 as a*r**2 + h*r + p*r**4 + l + j*r**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -35.1. Let w = 1.5 - t. Which is the smallest value? (a) -0.4 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 131*z + 166. Determine a(-64).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8137*l**2 - 105*l + 4. What is the tens digit of s(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (31 + -41) - 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 24492.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/((-9)\/18). Which is the closest to q? (a) 3\/7 (b) 1\/3 (c) 4 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192 - 189. Suppose 0*w - 392996 = -3*q + w, 5*q + a*w - 655012 = 0. Round q to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 245873860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -54. What is the smallest common multiple of v and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.004418061 + -0.004286. Round j to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:54 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-54))\/((-11)\/110))\/(837\/2511)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -2.5, 2\/99?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1220 and 67\/1848?\nAnswer: 563640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*t**3 + 100*t**2 + 168*t + 36.\nAnswer: 4*(t + 3)**2*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 divided by -4?\nAnswer: -363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -39. What is the highest common factor of 72 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*l - 1395 = -511*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Suppose 0 = 2*o - 4*a - 36, 5*o + 4*a - a - 116 = x. Suppose -c = -1, 2*w - c = -0*w + 7. What is the least common multiple of w and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 159, 522, 1227, 2388, 4119?\n\"Answer: 19*o**3 + 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/60 - 3*i**4\/8 + 8*i**3\/3 - 11*i**2. Is 5 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnon when four letters picked without replacement from dowdnowdlnnd.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1412, -2827, -4242, -5657, -7072?\n\"Answer: -1415*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 47044.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17156 - 6783?\nAnswer: -25050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(sqrt(363) + (3 + sqrt(363))**2 - sqrt(363)) + (-2*sqrt(363)*-6 - sqrt(363)))*4 + 2).\nAnswer: 264*sqrt(3) + 17844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1, -3\/10, -109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-6))\/16*(-340)\/(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 8*x - 513.\nAnswer: (x - 27)*(x + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -18 + (20 - 12) + -18 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.74 + 0.06. Let d = 0.2 + s. Let u = d + -1.0000012. Round u to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*m + 32, 28 + 60 = -5*o - 2*m. Let f be (-2)\/(o\/(-6) + -2). Is f >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/15)\/((-16)\/(-80)). Suppose -3*f + g*p = -299, f + 2*p - 88 = 9. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z - 8*z + 3*z - 3*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 - 12*n**2 - 2*n + 9. Determine u(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -101 + 85?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6314*t**3 + 457*t**2 + 49*t - 10655 wrt t.\nAnswer: -37884*t + 914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:52 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6030, -11, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 37, 7 in descending order.\nAnswer: 37, 7, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*1*(-24)\/(-8). Sort 0, 2, n, -15 in increasing order.\nAnswer: -15, n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13 = -5*n, 15*n - 17*n = -4*r - 70. Is 3 a factor of ((-48)\/r - 3)*-54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (44 - 1\/(-1)). Let a = 7 + d. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349913129 to the power of 1\/3, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73693\/14 - -5266. Find the common denominator of m and (-1 - (-237)\/(-6))\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7.1 (b) 3 (c) 4549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 1. Let s be 28*(1 - 1\/2). Let t be s\/5 + (-10)\/(-50). Does 4 divide o(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199992.5 grams to milligrams.\nAnswer: 199992500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let g(u) = -u**2 + u + 1. Let d(a) be the third derivative of a**5\/15 - a**4\/8 - a**3\/6 + a**2. Determine f*g(k) + d(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -1312*z**2 + 24534404*z - 74800 = 0.\nAnswer: 1\/328, 18700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.3. Let j = -17.5 - 2.5. Let g = j - -17. Which is the biggest value? (a) g (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138*j**2 + 1596 + 44*j + 2*j**3 - 116*j**2 + 36*j - 1500.\nAnswer: 2*(j + 3)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 0 + 3 - 10*d + 16*d - d**3 - 6. What is l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2061210 divided by -1082\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 372*w + 286*w**3 + 3055 - 369*w - 3056 in the form t*w**3 + o*w + f*w**2 + q and give t.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e + 25d?\nAnswer: 28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, 1\/11266, 1, 0.2, -3\/2, -2\/13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + y**2 + 102 + 9*y**2 - 179 + 4*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 10. Let d be q(10). Suppose 2*b - 48 - 40 = d. Suppose -17*z = -19*z + b. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4194\/5*i - 2103\/5*i**2 + 3\/5*i**3.\nAnswer: 3*i*(i - 699)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3 - 3)*(-3*p**2 + 6*p**2 - 2*p**2) + 2*p**4 - 5*p**4 + 2*p**4 - 3*p**4 - 2*p**4 - p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -100000000?\nAnswer: 11100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/7 (c) -1.666 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 1. Determine f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l - 4. Let f be j(1). Solve 0*c = -5*x - 4*c - f, 3*c = x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2906294 is divided by 3115?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + i - 22. What is the hundreds digit of j(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 - 6)*(-3 + 0 + 6) - 1 + 2 + 3)*(6*v**4 - 3*v**5 - 6*v**4) - v**5 + v**4 - v**4 + (2*v**3 + 2*v - 2*v)*(3 + v**2 - 3).\nAnswer: 61*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120))\/sqrt(6))\/(-4*(sqrt(4) + sqrt(4)*1)) - (0 + sqrt(30)\/(sqrt(6) - (2*sqrt(72))\/sqrt(12))).\nAnswer: 7*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506156253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 1)*(-165*c**2 + 286 - 286) to the form m*c + k + t*c**2 and give t.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/876?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 388*y**2 - 5*y - 7. Let v be c(-2). Suppose -h = 4*p - 501, -3*h - 6*p = -7*p - v. Is 35 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*l**2 - 98*l**2 - 20*l**2 in the form k*l**2 + c + x*l and give k.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/119996 + -7078273\/59638012. Find the common denominator of k and -5\/71.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 4*m - 10. Suppose 0 = m*w + z - 12, -6*w + 5*w - 3 = 5*z. What is the smallest common multiple of w and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174 * -7.4.\nAnswer: 1287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = -5*b, 3*t + 0*t - b + 4 = 0. Suppose 0 = -4*n - 0 - 12. Put 0, t, n in descending order.\nAnswer: 0, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364196217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20599*p - 20604*p + 115 = z, -83 = z - 4*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 3999.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 3. Let f(i) = i**3 - 5*i**2 - 2*i - 3. Let b(y) = 2*y + 5. Let u be b(0). Let t be f(u). What is the tens digit of q(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g)**(6\/29)*g**(1\/11)*g**(-5)*(g**(-6)*g)\/(g*g**(-2\/3)*g)*g*g\/(g**(-5)*g)*((g*g**4)\/g)\/g assuming g is positive.\nAnswer: g**(-1750\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.294.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21523063 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -326*u**5\/5 + 7*u**4\/12 + 5*u**3\/6 + 2*u**2 + 5*u. Let o be h(9). What is o rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1809 and -19304.2.\nAnswer: -19305.3809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55540.7807 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3907, 3867, 3829, 3793, 3759?\n\"Answer: f**2 - 43*f + 3949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 25. What is the closest to -1 in k, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2*m**6\/3 - 4*m**5\/5 - 83*m**4 - 460*m**3\/3 + 956*m**2 - 1120*m + 4770. Determine d, given that v(d) = 0.\nAnswer: -7, -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-9 - (3 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 671020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 18. Let t = 1.3 + 3.7. Let p = t - x. Which is the nearest to 0.2? (a) 2\/5 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 + -4 + 5 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 643*j - 1245. Calculate n(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + 10 - -2355)*(-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from fjzffvfjegfjze.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 140 - 227 = -4*g for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123907 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3 + 3)*(1047 - 1685 + 1106).\nAnswer: 1404*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5875, 46540, 156791, 371380, 725059, 1252580?\nAnswer: 1988695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64957*i*m*u**3 + 9*i*m*u**2 - 24135*i*m*u - 2*i*u**3 - 16*i*u**2 + 2*m*u**3 + 4*u**3 wrt u.\nAnswer: 389742*i*m - 12*i + 12*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/187 + -1 + (-210)\/(-51). Let r = -2.8 - -3. Which is the second smallest value? (a) g (b) 3\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -87505.\nAnswer: -1750.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471385393 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350 - 155. What are the prime factors of z?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -3*f + 0 + 0*f**2 + 0*f**4 + 3\/10*f**5 + 1\/3*f**3. What is the second derivative of x(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4 + 4\/8. Suppose -3*u = -y - 8*u + 3, 2*y + 3*u = 6. Let v = y + j. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 10*z + 8. Let s be f(8). What is the second derivative of 18*d**2 + s*d**2 - 39*d**2 + 11*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1290911699 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 19*t + 13 - 3*t**2 - 13.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 7}. Give prob of sequence bc.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(48\/17) + -1. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**5\/20 - k**4\/6 - k**3\/2 + 11*k**2 - 3*k - 16. Let w(c) be the first derivative of a(c). Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4311, -4317, -4327, -4341, -4359, -4381?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 3. Let v(i) = 5*i - 3. Let a(y) = -6*f(y) + 5*v(y). Does 2 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -402, -1367, -3248, -6351, -10982, -17447?\nAnswer: -26052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12506, -24779, -36582, -47681, -57842, -66831?\n\"Answer: 39*j**3 + j**2 - 12549*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-14 - -10 - -5)) + 2 + -19\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12*-49*200\/(-3360)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -88426*v - 6720360. Determine c(-76).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -57*p + 446594. Is p a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 279*i - 229. Let y be 9\/(-15)*15\/3. Let z(w) = 2*w**2 - 278*w - 232. Let k(d) = y*z(d) + 4*c(d). What is the first derivative of k(l) wrt l?\nAnswer: 4*l - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 271609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110120201020222 + -2011?\nAnswer: 110120201011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*d - 1180*d + 10 - 10 + 84*d in the form c*d + u and give c.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, and 1 w when three letters picked without replacement from {w: 3, d: 1, k: 3, i: 1, h: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 15. Let g be a(19). Suppose 2*f + g = -3*c, -2*f - 4*c - 3 = 5. Solve 22 = -5*n - 3*x, -5*n = -f*n + 3*x + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 9*w + 23*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086384 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 838801209*v**2 + 557331139 wrt v.\nAnswer: 1677602418*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13608 (base 10) in base 13?\nAnswer: -626a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 6232900?\nAnswer: 6232903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 2*u + u = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -1\/7, 1\/4, -8\/9, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2358882 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1104955*t + 719404 wrt t?\nAnswer: -1104955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111425113 + -2?\nAnswer: -111425115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 338*j + 106932 - 131268 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - -4 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4375400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24420309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 - 5*j**4 + 4*j**4 + (-j**4 + 0*j**4 + 0*j**4)*(-4 + 5 - 2).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4042578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.109 * -5611792.\nAnswer: -611685.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 + 843. Let z(h) = 102*h. What is m(z(u))?\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Let h(k) = -5*k. Let r be h(-1). Let y(p) = -5 - 3*p + r + 2*p + 1. Give y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9816 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 2 - 2)*(4*f**3 + 0*f**3 - 2*f**3) + (-2*f**4 - 6 + 6)*(56*f + 51*f - 17*f).\nAnswer: -176*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -140, -702, -1680, -3110, -5028, -7470, -10472, -14070?\n\"Answer: -6*t**3 - 172*t**2 - 4*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/(-2320))\/(1\/(-6))*20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.36 and -25.\nAnswer: -24.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let i be (-3)\/(v + (-2)\/(-3)). Let t be (-1)\/i + (-3 - -3). Which is the closest to -2? (a) t (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186.308 - -0.308. Let a = -185.99999345 - y. What is a rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11087, -45316, -102363, -182228?\n\"Answer: -11409*c**2 - 2*c + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.3, 0.1, -31, -0.046, -5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 (base 9) in base 5?\nAnswer: 11423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 = 3. Let x = 1 + h. Let i = -0.28 + -0.02. What is the closest to x in -1\/5, 1\/2, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-2 - -8 - (33 - (13 - -18))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)\/((-7)\/(-203)). Suppose -c = -2*d - 19. Factor 0*m + 0*m**3 - 4\/5*m**4 - 2\/5*m**d + 0 + 0*m**2.\nAnswer: -2*m**4*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2951*n**3 - n**2 + 3*n**2 + 5 + 2952*n**3 in the form m*n + o + l*n**3 + r*n**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 - -102. Let o be (-10946 - 16) + u + 1. Let p = o - -16764. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {w: 1, l: 3, n: 1, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from xxvxxxv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 31664 and 31664 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k. Let z(c) = -30*c. Determine r(z(u)).\nAnswer: -390*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 2*x + 6*x + 0*x. Let k(n) = -n + 1. Let p(i) = i - 2. Let b be ((-3)\/(-9))\/((-4)\/48). Let m(h) = b*k(h) - 2*p(h). What is j(m(w))?\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 20, -116 in descending order.\nAnswer: 20, -18, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 81756 (base 13) to base 8\nAnswer: 705003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71221738129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -18 (b) 1\/4 (c) 0 (d) -87 (e) -6.5 (f) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u + 1. Let t be r(-1). Suppose 0*x + t*j = 2*x - 35, -2*x = 4*j - 62. Suppose d - x = -4*d. What is the remainder when 14 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6530451 - -5?\nAnswer: -6530444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - (-7 + 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a*k**5 - 1297165*a + 271514*k**5 - k**2 - k wrt k.\nAnswer: 300*a*k**2 + 16290840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -146 + 1\/2*k**2 + 7*k. Determine s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332 + r**2 - 332.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (9 - 1040\/117) + 1066540\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 20*t - 25. Let p(m) = m + 3. Let k(d) = 2*p(d) - s(d). Give k(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -215505?\nAnswer: -215514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2689 - 2558. Solve 127*g = o*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366845026 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4771.005mm?\nAnswer: 477.1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 333187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 24 = -4*s, 0 = -4*s - 2*x - 3*x - 12. Suppose -l - 4 = -3. Let f be 0 - (0\/l)\/s. Which is smaller: -5 or f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97310 is divided by 2299.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -276212*k**2 - 62074?\nAnswer: -552424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -453, -450, -447, -444, -441?\n\"Answer: 3*z - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480080 and 680.\nAnswer: 480080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 88?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162240 and 2400?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -13?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + v + 2. Let j be c(0). Suppose 5*f = j*f + 3. Suppose -q - o = 3 - 1, 0 = -4*q + 4*o + 24. What is the remainder when q is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/6))\/(x*x*x*x**(5\/6)))**(2\/5) assuming x is positive.\nAnswer: x**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8314 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003031 (base 4) to base 15.\nAnswer: 141b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219563 by 5.\nAnswer: 219563\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 9*p - 6. Let n be o(10). Suppose -n*a + 7*a - 24 = 0. Solve -2*z = -0*z - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.639814 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0 + 0*f + 0*f**3 - 6*f**2 - 1\/12*f**4. Let y(t) = -3*t**2. Give y(a(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 3235659?\nAnswer: 3235655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1999, -1628, -1009, -142?\n\"Answer: 124*o**2 - o - 2122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-16))\/(20\/96*-3). Solve 2\/5*r**5 - i*r - 6\/5*r**4 + 4\/5*r**3 + 2\/5 + 4\/5*r**2 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -457*i + i**3 + 0*i**3 - 759*i - 2*i**3 + 6*i**3 to the form p*i**3 + m*i + a + z*i**2 and give m.\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68974 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 18272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 9*n**2 + 4. Let v be x(9). Let i be (-3)\/(-15) - -3 - v. Which is the nearest to -0.2? (a) -0.1 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -26067\/14 - -1861. What is the common denominator of c and -45\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -812874635, -812874636, -812874637, -812874638, -812874639?\nAnswer: -812874640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*(v*v*v**6)\/v)\/v*v)*v**(3\/4)\/v*v)\/(v*v*v**(-1\/2)*v)**(-4\/23))\/((v*v*v\/v**0)**(-2\/5)\/(v**1\/v)**(-4\/21)) assuming v is positive.\nAnswer: v**(-2123\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328255 divided by 3.\nAnswer: 1328255\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**4\/19 + 39150350*z**3\/19 - 267527784*z**2\/19 + 28847682*z - 293628240\/19 = 0. Calculate z.\nAnswer: -3262536, 5\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 6714 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 25. Calculate the lowest common multiple of o and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u**2 - u + 1. Let y be k(1). Suppose y = -3*v - 6 + 39. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 24. What is the least common multiple of 18 and w\/(((-18)\/8)\/((-15)\/10))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 132111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203560, -1628375, -5495720, -13026859, -25443056, -43965575, -69815680, -104214635?\nAnswer: -148383704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 9*c - 19. Determine f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 742 (b) 8\/11 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 + 10*k**3 + 3 + 2*k**3 - 6*k - 13*k**3 + 2. Let o be n(-6). Solve -5*g - 3 - 5 = 4*t, 35 = 5*t - o*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3978 (base 10) to base 14\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -u + 4*u - 6, 0 = -2*z - u + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 4*r**2 + 4*r - 5. Let a(i) = i - 1. Suppose -2*w + 4*d + 5 = -9, 4*d = 4*w - 16. Calculate w*m(s) - 5*a(s).\nAnswer: 3*s**3 + 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 - 149.06. Which is the third biggest value? (a) -0.2 (b) 3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532641 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34010793, 68021584, 102032377, 136043172?\n\"Answer: o**2 + 34010788*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 5. Suppose 4*s - 2*s = 8. Let a(m) = 1 + s*m + 3 + 5. Let i be (-2686)\/(-238) + -1*4\/14. Give i*b(x) + 6*a(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g**3 + g**2 - 2*g + 1. Determine m(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000679 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/68 + 65\/26. What is the fourth smallest value in -1\/2, -0.1, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40081623, 80163248, 120244873, 160326498?\nAnswer: 200408123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.448 - 142.448. Let y = i + 32. Which is smaller: 1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -201181861, -402363726, -603545591, -804727456, -1005909321?\n\"Answer: -201181865*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-6))\/(670\/(-603)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*u + 3*d - 56, -46 = -u + 5*d. What is the third derivative of -h**3 + 37*h**2 + 28*h**5 - 3*h + 5*h - u*h**2 + h wrt h?\nAnswer: 1680*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 + 3 = 0. Let z = 813 + -811. What is the closest to z in 0.2, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 3 (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 74160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + o + 7400, 4*i - 5*o = -49 + 5990. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4258 - -109. List the prime factors of u.\nAnswer: 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/21 + 64*a\/7 = 0. Calculate a.\nAnswer: -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94908, -93832, -92046, -89550, -86344, -82428?\n\"Answer: 355*s**2 + 11*s - 95274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*y**3 + 403*y**3 - 3*y + 5*y - 3*y.\nAnswer: 1019*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:09 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158368990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10585 and -1.5407?\nAnswer: 10586.5407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, o: 1, y: 4}. Give prob of sequence jo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -18. Let q = 12 + d. Solve -2*s + s - 2 = q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273897 is divided by 77.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 5)*(-1 - z + 1)*(0 - 4 + 1) as g*z + o and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v + 10. Let n = v + 5. Solve -3*j = -n - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3111473 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t - t)*(-2 - 1 - 1).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -18*w**2 + 87*w - 18. Let z = -286 + 289. Let m(i) = -18*i**2 + 85*i - 19. Let v(u) = z*m(u) - 4*c(u). Factor v(y).\nAnswer: 3*(y - 5)*(6*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1566 and 7862346?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -0.25 (c) -13.1 (d) 2\/15 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15686157 - -15686156.2500019. Let o = 0.76 - 0.01. Let m = o + z. What is m rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (680\/(-48))\/((-99)\/(165726\/465)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*c**2*i**4 - 77*c**2*i - 9*c**2 - 295*c*i**5 wrt i?\nAnswer: 264*c**2*i**2 - 5900*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1\/193 (c) 1.3 (d) -3\/7 (e) 945\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**7\/42 + 14*g**3\/3 + 35*g**2. What is the first derivative of v(x) wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*x - 5*g - 11, 3*g = 4*x - 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030847 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1448*s - 656*s + 2489*s as g*s + y and give g.\nAnswer: 3281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27306*w - 12608*w - 14685*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16*y + 92 + 32 = 0, -2*a = -3*y - 47. Solve a*j + 3*j = 66 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180830 divided by -845?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0 + 0*n**5 + 0*n**3 + 0*n**2 + 8*n**4 + 282*n + 31\/6*n**6. What is the third derivative of c(q) wrt q?\nAnswer: 3720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.0709978 to 1 dp.\nAnswer: 121.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3108*j - 36125. Determine f(-11).\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -18*y - 1. Let g(x) = 2*x - 9. Let w be g(4). Calculate f(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 5*k + 12*k - 48160 = 0. Does 126 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 154567 + 154567.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622201 to the power of 1\/2, to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 3. Let u = -9590 - -9594. Sort u, -2, v in descending order.\nAnswer: v, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 114\/(-18). Let d(w) be the second derivative of 15*w**3\/2 + 55*w**2\/2 - 2*w + 170. Let b(v) = -5*v - 6. Calculate q*d(c) - 55*b(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q - 164. Suppose -5*r = -q - 183. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbrorllqrbclr. Give prob of sequence qb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8720 divided by -1744?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 153\/(-2) - (-12)\/(-8). Suppose 4 = f + 7, -5*f = 4*z + 219. Let l = z - c. Solve -5*d - l = -n, -4*n + 2*d = -17 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44*43\/1419)\/(2\/(-4)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123110330 (base 4) to base 2.\nAnswer: 11011010100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -58?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 - 9*a**3\/2 - a**2\/2 + 9*a\/2.\nAnswer: a*(a - 9)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11425*c*i*p - 10*c*p**3 - 2*i*p**3 - 151*p**3 - 10*p**2 wrt c?\nAnswer: 11425*i*p - 10*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*s - 3*r - 13, 0 = -s + 5*r + 24. Let m(x) = -3 + 1 + 14*x**3 + x**2 + 1. Determine m(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1489 - -748.1489. Let q = -5295.4 - -6124. Let y = c - q. What is y rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 2332 and 337963\/145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 33234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b + 125 - 397 = 0. Let g be (-2 + 119\/35)*5. Solve 0 = 5*r - g*r - b*w + 12, 0 = 2*r + 2*w - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/6 + 3\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 10)*(-3 + 0). Suppose 5*f - 102 = c*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 176.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5486365.\nAnswer: 5, 29, 157, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1172 - 1017. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 15*o**2 - 1844*o + 28246. Calculate g(105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-19) - (-30)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose m*h = h + 15. Suppose 2 = -k, 19 = h*i - 3*k + k. Put i, -4, 2 in descending order.\nAnswer: i, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12942880 divided by 16?\nAnswer: -808930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-14)*(-2814)\/(-335). Solve m + 4*s = s + j, 4*m - 3*s = -12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-28289.\nAnswer: 169734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 133513 (base 7) to base 10\nAnswer: 25294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) - (sqrt(198) + -1*sqrt(198)))\/(sqrt(11) + sqrt(11)*2*-1 - sqrt(11)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6380758, 6380764, 6380778, 6380806, 6380854, 6380928, 6381034?\nAnswer: 6381178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -172, -659, -1472, -2617, -4100, -5927, -8104?\n\"Answer: -m**3 - 157*m**2 - 9*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - -94 - (-1 - 0)) + 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*s**4 - 1615*s**3 - 505*s**2 + 1615*s - 30 = 0. What is s?\nAnswer: -1, 2\/107, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -51758, -3, 5 in decreasing order.\nAnswer: 5, -1, -3, -51758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 1. Let b be n(-1). Let o be b\/(-3)*(-1 - 320). Let r = o + -75. Calculate the remainder when 125 is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*o + 588*o + 472*o.\nAnswer: 2180*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 410171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 - 7*x - 9. Suppose -6*c + 3*c + 9 = 3*k, 5*k = -2*c + 27. Suppose 25 + 31 = k*g. Give v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8361, -15269, -20725, -24729, -27281, -28381, -28029?\nAnswer: -26225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (32 - (-34 + 61)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -124 * 1082.985\nAnswer: -134290.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 + 5*z - 1. Let d be (-5 - -6)*(0 + -4). Let l be c(d). Calculate the remainder when 35 is divided by 14*(2 - (-24)\/l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 6154?\nAnswer: 6154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 6, t: 12}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -446 divided by 1393?\nAnswer: -446\/1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208010 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {e: 3, p: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24358 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27488693.\nAnswer: 67, 410279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288777 is divided by 88.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7. Let d = n - -3. Let m = 4 - d. What is the biggest value in -0.3, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3940*r - 23636. Let z be j(6). Suppose -13 = 2*y + t, -4*y - 7 = 5*t + 34. Put y, -6, z, 0 in ascending order.\nAnswer: -6, y, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3893*d - 953397 = -3920*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - (93\/(-9) - -3). Factor 1\/3*u + v*u**2 - 2\/3.\nAnswer: (u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 < 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -55*l**3 - 6*l**2 - l + 10. Let c(x) = 55*x**3 + 5*x**2 + x - 8. What is -6*c(a) - 5*r(a)?\nAnswer: -55*a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49508 is divided by 12376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 256 + 1109. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-128))\/(32\/1664*-39)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + c + 1)*(74946 - 74946 + 536*c).\nAnswer: 536*c**2 + 536*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3*j + 6. Let n be d(4). Find the second derivative of -13*x**2 - 11*x**n - 5 + 2*x - 25*x**2 wrt x.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6201 - 6195. Solve 0 = c*l + 66*l + 144 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*p - 4, -10*r + 5*r = -2*p - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 29. Suppose 5*p = 3*q + 7, 3*p + t = -5*q + 19. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 17039262.\nAnswer: 17039264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-3\/4)))\/u)**(-2\/85)*u*(u\/(u*u\/(u\/(u\/(u*u**(1\/4))*u))))\/u*u**(2\/37))**(11\/5) assuming u is positive.\nAnswer: u**(-95491\/62900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.88 - -0.12. Let l = -3 - v. Let y = 14.1 + l. Which is the second smallest value? (a) 4\/7 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 + 10. Let v = 0.1 - f. Let j = 2.7 + v. What is j rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 30*g**2 - 46. Let z(o) = -o**2. Determine z(v(s)).\nAnswer: -3600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1115*w**5 - 6*w**4 - 3*w**3 - 264332*w**2?\nAnswer: -66900*w**2 - 144*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 76 (b) -1\/9 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/117*-13)\/((-4)\/(-798)). Calculate the greatest common factor of n and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-15)*(20713\/(-231) + 63)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-36) - ((-1)\/(-20))\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 2496.4?\nAnswer: 2495.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(80)\/sqrt(4).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 + 2382*w**3 - 102708*w**2 - 2382*w + 102705 = 0?\nAnswer: -835, -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 1. Let x be l(-1). Let v be 3 + (1 + x)\/(-2). Suppose 0 = -3*j - v*j. Solve j*d - 5 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-94))\/(-3)*(-2)\/(-31)*(-8804)\/(-568).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 214 = -2*i - 0*c, c = 2. What are the prime factors of i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44669688 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {d: 4, t: 2, m: 4, q: 3, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 156*j + 19. What is o(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334749.\nAnswer: 3, 241, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from {p: 10, c: 3, i: 4, j: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9931233 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -40. Suppose -f*m - 3*n = 27, 2*m + 3*n + 2 = 4*n. Find the common denominator of (-115)\/30 - (9\/(-1))\/m and 17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + 4*r - 6. Let f(j) = -2*j**2 - 2 + 4 + j**2 - j. Let w(n) = -11*f(n) - 4*o(n). Let x = -10 - -6. Determine w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. Suppose -9 = -5*z + b. Suppose -z*f + 16 = -17. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(2\/9))\/f))\/(f**(-2)\/f)*f**6\/(f\/(f**3\/f*f)) assuming f is positive.\nAnswer: f**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0874 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183258177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 12*v**2 - 12*v + 15. Let a be n(-13). Let t(y) = 18*y - 9. Let l = -12 - -26. What is the remainder when t(a) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.88923 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 0.82?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7263 and 9634773?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10370 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4139, -8068, -11991, -15908?\nAnswer: -19819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 196*w - 16. Let f(m) = 5*m - 1. Calculate -3*d(a) + 48*f(a).\nAnswer: -348*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 2 - 29 - (-18 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 135 - 9 = 0. Let n be ((-1)\/2)\/((-6)\/c). Solve 3*i = 0, n*g - 3*i = -5*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9542 - -9540. What is the nearest to 4 in -28, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 65 - 1869 = -5*d, -d + n + 360 = 0. List the prime factors of d.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1)\/(-2)*-1. Suppose -2*m + 19 = -k*u + m, -3*u = -2*m + 21. Let y = -0.6 - -0.1. Which is the smallest value? (a) u (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*b**2 + 327*b**2 - 116*b**2 - 107*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 3*b**3 - 1 - 2*b**4 + 6 - 6 to the form r*b + h*b**4 + u*b**2 + l + w*b**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -20*v + 23. Let j be y(1). Suppose 20 = 5*k + 5*c, 4*k = 5*k - 2*c - 4. Suppose k*w = 12, f - j*f + w = -107. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*j + 957, 0*z - 5*z - 3*j + 1599 = 0. Suppose 219 + z = 4*k. Determine f so that -9 - 11 - 129*f**2 - 26*f + k*f**2 = 0.\nAnswer: -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -3\/13, 1\/2, 0.3, -0.9, 0.1 in decreasing order.\nAnswer: 90, 1\/2, 0.3, 0.1, -3\/13, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2\/(-8) - 2465\/(-580). Solve -3*n + 12 = 0, b + n + 1 = -c*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13338 = 13*i - 38350. Does 51 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -118, 1\/43 in ascending order.\nAnswer: -118, 1\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 13) in base 6?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*n**3 + 1185*n**3 + 589*n**3.\nAnswer: 723*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -57 (b) -1 (c) 1\/5 (d) 1\/2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 85*c - 24. Let b be q(-28). Let t(n) be the second derivative of 0 + 2*n**2 + 1\/2*n**b + 0*n**3 + n. Differentiate t(u) wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -549 - -553. Which is the third biggest value? (a) 0.6 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(27)\/sqrt(9) - sqrt(3))**2 + (sqrt(432)*-1)**2.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:49 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -69. Put -8, n, -5 in decreasing order.\nAnswer: n, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*w = -11 + 2, -3*q = -5*w - 25. Suppose -q*u - 13 = 4*z + 17, z + 5 = 0. Put u, -3\/2, -2\/3 in descending order.\nAnswer: -2\/3, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -15*u**5 - 1239*u**4 - 1917*u**3 + 2211*u**2 + 1932*u - 972 = 0.\nAnswer: -81, -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777469 and 44275?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1802*c + 3617*c - 1816*c - 2 - 231*c**2 to the form q*c**2 + f + o*c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32.25 and 0.3?\nAnswer: -9.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**8\/f)\/f)\/f)**(-5\/6)\/((f*f**(10\/3)*f*f)\/f**9))**(-15) assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2.0028. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6)*2\/(-5). Let p be (-7)\/(-1)*(-14)\/(-56). What is the second smallest value in -0.2, z, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/5 + 132*g**3\/5 - 2178*g**2\/5 + 15972*g\/5 - 43923\/5.\nAnswer: -3*(g - 11)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 488384 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613532*s**3 - 53581*s**2?\nAnswer: -3681192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 340 - 341. Sort f, -2, 20 in descending order.\nAnswer: 20, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k - 9. Let h be n(-11). Round h to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/22 - (-41656)\/2794. Solve l*v - 3 = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 837 - 835. Which is the closest to 0? (a) 2\/3 (b) w (c) -24 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41001*k*n**2 - 2*k*n - n**2 + 29*n - 366 wrt k?\nAnswer: -41001*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 4 (c) 1\/10 (d) 0.285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssys when four letters picked without replacement from yysyyyysyyyysysssy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/998322 and -59\/575955?\nAnswer: 14974830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5515?\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*c - 4653 - 5586 - 12047 = 13295 for c.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 450.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 28 = 8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*w + 324, 3*d + 3*w = -d + 356. Let m = 78 - 47. Suppose -4*k + 5*f = -101, 5*k = -3*f + d + m. Calculate the highest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -20947\/978?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -241, -496, -845, -1288?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by -5\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4405 is divided by 488.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 7. Suppose -4*f - 2*q = -16, -5*f + 16 = 5*q - 4. Determine z(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 30*r + 2025 = -61*r + 23*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3055, -2347, -1643, -943, -247, 445, 1133?\n\"Answer: -2*p**2 + 714*p - 3767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.264 + -0.164. Let r be -1*(-2 - -1) - 4. Which is the second biggest value? (a) f (b) r (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180) + 5 + 0 + sqrt(180) + sqrt(180) + -3.\nAnswer: 7 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (1 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 41 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 16*l = 36. Put -3, 4, l, -3\/5 in descending order.\nAnswer: 4, -3\/5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63, 123, 183, 243, 303?\n\"Answer: 60*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11819460 rounded to the nearest 100000?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/((f\/(f\/(f*f**0)))\/f)))\/f)\/f**16)**(-7\/9) assuming f is positive.\nAnswer: f**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102\/(-9) + (-8)\/12. Let d be 3 + 3*8\/w. Let l be -3*1*d\/(-1). Solve h + 8 = -3*q - 0, -3*h = -l*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 125*x = 123*x + 5, -x - 1 = -b. Solve -v - 5*w + b = 0, -4*v = -69*w + 70*w + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - y. Let z(x) = -x**2 - 6*x + 8. Let j be z(-7). Let t be m(j). Let g be (t\/2)\/((-12)\/18). Solve 2 - g = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*b + 146*b - 595*b - 1139 - 1423 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 82 + 41*m - 82 - 9*m. Let w(a) = -a**2. Give d(w(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/((-1)\/(3\/6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 + 3*b + 9. Let q be s(5). Let x(d) = -d**3 + d**2 - d + 1. Let w(h) = 2*h**2 - 4*h + 4. Give q*w(n) + 2*x(n).\nAnswer: -2*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4920110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -17*p**2\/2 + 51*p + 36. Let r be a(3). Solve -16 = -6*n + n - 3*y, r = -4*n - 2*y + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2. Let z(s) = -s - 2. Let n(f) = 6*f + 322. Let y be n(-53). What is y*z(a) + 3*r(a)?\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = 0. Suppose 0 = -3*j + 14 - 2. Suppose -9 = -j*m - r, m + 3*m - 2*r = 6. Solve 3*f = i, m*b - f + 15 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3)\/((-3)\/(-9)). Let u be (2\/t)\/(5\/(-15)). Solve 8 = 3*w + u*r - 3*r, 0 = -3*w + 3*r + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 - 8*f + 9. Calculate a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*z**2 - 5*c*z + 490984*c - 83*z**2 + 41481*z + 856 wrt z?\nAnswer: -4*c*z - 5*c - 166*z + 41481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 38 - (-138 - -367 - 256).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsi when three letters picked without replacement from {w: 4, i: 6, s: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236552 by -412184.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 68\/8) + 3\/2. Suppose m*c = -0 + 10. Solve 2*r = 3*b - 3, 2*b + c*r - 2 = -0*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 742647799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/70 + -2 + -1. Let s = -4 - y. Which is the closest to -1? (a) -1 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0111 and -0.4.\nAnswer: 0.40444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*c + 0*c - 7)*(-5*c**3 - 3*c + 3*c) + (-2*c**2 + 0*c**2 + 0*c**2)*(1 + c**2 - 1).\nAnswer: -12*c**4 + 50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9358235 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 218\/77 (c) -0.2 (d) 1\/5 (e) -2 (f) 0.1 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 322.2 + -290. What is i rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1 (c) -12 (d) -1\/6 (e) -1\/4 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**5 + f**2 - f. Let q(x) = -7*x**5 + 4*x**2 - 6*x. Let v(k) = 30*j(k) - 5*q(k). What is the third derivative of v(p) wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.059 (b) 416248 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6 + (-5053)\/(-2445))*15\/36.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.54*19\nAnswer: -67.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 151. What is the least common multiple of 14 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.89 + -0.11. What is the nearest to -4 in s, -4\/3, 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 - 12*y + 8. Let p be g(5). Suppose p*a - 935 = 18*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30285993*b**5 - 2*b**2 - 1823*b + 5572?\nAnswer: 1817159580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(47 - (18 + 27))*-20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 4072.\nAnswer: -5\/4072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 3*l - 2. Let o be t(-2). Is o at most 2\/2711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*t + 50*t - 35145 = -366*t + 14*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 6*o + 2. Let c be z(6). Let a be -4 - (3 + -3) - -3 - -3. Let b = a - c. Solve b*s + 3 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 + -13.26. Let n = m + 11. What is the third biggest value in 2\/3, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3861 divided by -33013\nAnswer: -3861\/33013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u - 6. Let d(i) = -5*i + 3. Let g(h) = 7*d(h) + 4*t(h). Let k = -192 + 189. Let j(a) = 4*a - 2. Let l(x) = k*g(x) + 4*j(x). What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(153)\/(sqrt(72)\/sqrt(8)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 68 = -r, 2*r - 5*s - 103 = 36. Suppose 3*p - 5*p = -10. Suppose -p*x = -13 - r. What is the lowest common multiple of 12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 150 = -v, -2*v = -5*k + 339 + 27. Let z = 77 - k. Solve x + 2*g - 10 = 0, z*x - g - 14 = -3*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 113, 228, 389?\n\"Answer: 23*b**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/20*-2) + -2. Find the common denominator of -111\/14 and (1 + 71\/6)\/(-10 - q).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 2404 = -2316 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, 1\/7, 2, 8, -9, -876.\nAnswer: -876, -9, 0, 1\/7, 0.5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3590230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2, 3, -6\/29, -0.3 in ascending order.\nAnswer: -2, -0.3, -6\/29, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, 1 q, and 1 d when four letters picked without replacement from {o: 4, p: 1, r: 7, b: 2, d: 1, q: 5}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**7\/840 + w**4\/24 + 4*w**2. Let f(r) be the second derivative of l(r). Let o(z) = -z. Determine f(o(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5478, -10924, -16376, -21834?\nAnswer: -27298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 59*f - 59*f + 8*f**3 + f**3 + 7*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 748 - 749. Let t be 363\/(-77) - -5 - r\/21. Suppose 0 + t*y - 1\/3*y**2 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 0.249\nAnswer: 0.1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3645987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 - 12*c + 69. Let x be q(4). Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v - 2)*(3 + v - 3 - 4*v + 0*v + 5*v + (0*v + 3*v - 2*v)*(4 - 1 - 1) - v - 2 + 2).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 167293 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7676 + 844377\/110. Calculate the common denominator of z and -23\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181 + 212. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 32*c + 2*c**2 + 34*c - 14*c.\nAnswer: 2*c**2 + 52*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23948 is divided by 4718.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 360. Let v = -417 + s. Sort 3, 0, 0.1, v in descending order.\nAnswer: 3, 0.1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-5))\/(2690\/20175)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k - 2. Suppose -5200 = 5*f - 4*l, 3*l = -2*f - 866 - 1191. Calculate the remainder when 1\/4*f\/(-7) is divided by h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 - 13*f**2\/2 + 27*f + 24. Let y be p(-12). Find the second derivative of 29*z - 9*z**4 + y*z - 87*z wrt z.\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1976a4 (base 11) to base 2.\nAnswer: -1001001111110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10641 or 10645?\nAnswer: 10641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560328 is divided by 306?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.2068858*-3.\nAnswer: 39.6206574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 362*x**2 + 22*x**3 - 362*x**2.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 24. List the prime factors of z(-12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 16*c**2 - 20*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000000 - 10?\nAnswer: -11000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-48)\/(o**(3\/5)\/(o*o\/(o*o**(-2)))))\/((((o*o**(-6))\/o)\/o*o\/(o\/(o**4\/o)*o)*o)\/(o*o**(-1)*o)**19) assuming o is positive.\nAnswer: o**(367\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.7 (b) 8 (c) -3 (d) 4.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 2325?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 162686401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 3 + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2557 + -2708.9. Let y = b + 152. What is the closest to y in -3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 4 + 4)*(1796 - 16639 - 24619 - 17993)*(-5 + 5 + j).\nAnswer: 114910*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - -0.12. Let v = 1.1 - 0.9. What is the nearest to i in 2, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 + 10*m**3 + 15*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1287 - -2285. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -35, -110, -247, -464, -779, -1210?\n\"Answer: -3*r**3 - 4*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 10*r**2 - 62*r - 38. Is 7 a factor of g(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2 - 2)*(2 - 9 - 3)*(1 - 1 - 1).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240502226.\nAnswer: 2, 13, 17, 7331453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) - (-22)\/6. Suppose -7 = -a*i - 1. Solve -6*x = -i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 101440?\nAnswer: 101431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.1 + -30.08. Do b and -39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445 - -461. Calculate the remainder when 182 is divided by b\/((-96)\/9)*92\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013913 to five dps.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 - n**2 + n**2)*(21 - 73 - 56) + (5*n + n - 4*n)*(2 - 2*n - 2) in the form s*n + f + d*n**2 and give d.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2225885 = 4*b + 4*c + 2225841, 2*c = b + 1 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*v - 41 - 76, 5*v + 93 = 4*s. What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/12*15\/(-50). Suppose o = 1, 0 = 3*k - 3*o - 2*o + 17. Let p be (-8)\/(-15) - 2\/3. Which is the closest to 0? (a) p (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/245 + 8229\/1960. Calculate the common denominator of (6\/7)\/(6\/(-44)) and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13730212, -27460425, -41190638, -54920851, -68651064, -82381277?\nAnswer: -96111490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214183433 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.793 - -0.803. Which is the third smallest value? (a) -0.26 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 14.009?\nAnswer: 14.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7794 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List 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 -1? (a) 48 (b) 0.4 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24582 divided by -148\nAnswer: -12291\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - -4.82. Let v = i + -10. Which is the third smallest value? (a) 1.8 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cc73 + -4?\nAnswer: 1cc6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a3 (base 13) in base 4?\nAnswer: -113031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 2886?\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103247 divided by 15057?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(98)*1 - sqrt(2)) - 4*sqrt(12)\/sqrt(6)*5)**2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 0.36. Let p be (-2 - 0)*(-9)\/(-2). Let i be p\/(81\/6) - (-2 - -2). Sort i, x, -0.2 in descending order.\nAnswer: x, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76)\/(sqrt(20)\/sqrt(5)) - (sqrt(19) + (sqrt(19) - (sqrt(304) + -3)))))**2 + ((3 + -3*sqrt(684))*-1)**2.\nAnswer: -180*sqrt(19) + 6885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -3 - ((-15)\/20 + 209\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 8, x: 4, y: 2}. What is prob of sequence xli?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385 = 75*q - 1277 + 592 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14774)\/178 + (17 - 0) - -28\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126871.\nAnswer: 11, 284261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653671.\nAnswer: 439, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5)*-2 + 5).\nAnswer: -10 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-8)*13\/78*(0 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnhnnhhnnnnhn. What is prob of picking 2 h and 1 n?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/6 + r**2 + 4*r - 11. Solve t(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334 (base 5) to base 9.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-12))\/(v\/(v\/(v**(-7\/11)*v))))**36 assuming v is positive.\nAnswer: v**(5004\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*t**3 - 219945*t + 109970*t + 109975*t.\nAnswer: -334*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -411\/5, -2, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(2057))**2.\nAnswer: 88*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 0)*(-r**3 - r**3 + 6*r**3).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 + 67 - 67)*(-4 + 3 + 0) - 3*h - 2*h**3 + 3*h + (2 + 0*h**3 + 2*h**3 - 1)*(-2 + 1 + 2) in the form t*h**3 + u*h + v + z*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5188.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72222774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/256 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:48 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12193*w - 144 - 3403*w**3 - 12193*w.\nAnswer: -3403*w**3 - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9589 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83151 = 2*o - 5*g, 8*o - 3*g = 12*o + 166237. Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*o**2*z - 5*f*o*v*z + 17*f*o*v + 3*f*o*z - 25*o**2*v*z + 25*o**2*v - 4*o*z wrt o?\nAnswer: 6*f*z - 50*v*z + 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40220034423 - -4?\nAnswer: 40220034432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 29*i**2 - 489*i - 36. Calculate p(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 4447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of (95 + -99 + -1 + -601)*-24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/7, -2\/3, 4, 0.158, 15.\nAnswer: -3, -2\/3, -4\/7, 0.158, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 4, z: 2, x: 1, o: 2}. Give prob of sequence zkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 8*r - 10)*(0*r**2 - 2*r**2 + 0*r**2)*(-62*r + 83*r + 86*r).\nAnswer: 1712*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 28, 242, 4\/3, 2, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 4*x + 2. Let k(l) = -l**2 + 19*l - 9. Calculate the remainder when z(-3) is divided by k(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:54 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -12*m**2 + 612*m - 292. Determine u(50).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3175104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 19494.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 21. Let b = -4494 + 4509. What is the least common multiple of i and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and 0.1.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1293.91947 and -3?\nAnswer: 1296.91947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5480876 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + -1)\/2 - -1. Let f = z + -3. Let i = 7576 + -7574. Solve 7 = -i*w + f*s, 4*w + 1 + 5 = 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15439425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwwvvvvwv. Give prob of sequence wv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 162269861 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3081*b. Let s(y) = 257*y + 252*y + 1 - 507*y - 1. What is a(s(c))?\nAnswer: 6162*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -274740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62092141 and 0.1.\nAnswer: 6209214.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/21 - 6\/21. Solve 0 = -0*o - o + l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(440\/869) - (-13)\/(-52)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195902 divided by 27986.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 57 = 0, 348*w - 352*w = -2*s + 76 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.68386304 to two dps.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1033443?\nAnswer: -1033443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-41)\/u))\/u**5 assuming u is positive.\nAnswer: u**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/337 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616494 divided by -205498.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m + 56. Let j be z(0). Find the second derivative of -124*s**2 + 79*s - 65*s**2 - 75*s**2 - 261*s + j*s**2 wrt s.\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/60 - t**3\/15 - 4*t**2\/5 - 20*t - 22. Suppose l(h) = 0. What is h?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-3 - (3 + -6) - 3). Suppose p = 2*b - 5*z + 20, -4*b + 5*z = 54 - 4. List the prime factors of (-260)\/b*6\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36435 + -36434. Let r(y) = -y**2 + 6*y. Let z be r(6). Let v(m) = 3*m - 2*m + z*m + 1. Calculate v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 82\/(-10) - (-5)\/25. Let a be 44436\/(-15) - -3*z\/(-60). What is the tens digit of (2 - (-168)\/(-91)) + a\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-28)\/(-16) + 443 + -431\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:01 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**7*d)\/d**(2\/7))**(-10))**(1\/11))**(-2\/3) assuming d is positive.\nAnswer: d**(1220\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/9 - 2596*h\/9 - 53650 = 0. What is h?\nAnswer: -1073, -225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13409, -53639, -120689, -214559?\n\"Answer: -13410*v**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*d**3 - 29*d**3 - 70*d**3 + 411*d**3 - 53*d**3.\nAnswer: 97*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 126 = -3*a, -a + 14 = 2*a - 4*a + 1553*k - 1549*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 9:15 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-5 + -8)) + -33?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*-5*(sqrt(1216) + 0 + sqrt(1216)))**2 + (2 + sqrt(76)\/sqrt(4)*-6*-1)**2.\nAnswer: 24*sqrt(19) + 1946285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*n - y - 27, -6*n + n - 3*y + 76 - 25 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 13 + c**2 + 0*c**2 - 9 - 17.\nAnswer: c**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -77, -117, -159, -203?\n\"Answer: -m**2 - 35*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 5\/6, 0, 5 in ascending order.\nAnswer: 0, 0.8, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 8:59 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 158589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-816)\/136 + 3\/(-9) + 5097\/333)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286.1 minus 117?\nAnswer: 2169.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 80.52, -6\/5, 0.1, -21?\nAnswer: 80.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2127373992 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/8*1184\/(-8). Which is greater: p or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 2. Let i be x(0). What is the first derivative of -15*k**4 - 2400*k**i + 2400*k**2 + 13 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by ((-2)\/(-5))\/((-23)\/(-43700)*20).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -398 + 398. Solve 2*a = -2*a - q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1016 + -407323?\nAnswer: -406305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5268 + -1187. Suppose q - 8*q = -i. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(81)\/sqrt(81))\/(sqrt(108) - (sqrt(108) + (sqrt(108)*-2 - sqrt(108))*-6)).\nAnswer: -sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*-2*9\/(-6). Let a = t - 3. Suppose 5*y - a*y + 85 = -d, -4*y + 347 = 3*d. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*42\/54*6. What is the second derivative of -c*q**4 + 9*q**4 + 16*q - 89*q**5 + 91*q**5 wrt q?\nAnswer: 40*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**2 + 20*f - 1. Calculate the remainder when 38 is divided by t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*k**5 + k**2*u + 2*k*u - 42*u wrt k?\nAnswer: 3700*k**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -183845 and 11202878.\nAnswer: 11019033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 4*h**6\/3 + 11*h**2 - 53*h. Differentiate j(q) wrt q.\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -644831 or -153\/2?\nAnswer: -153\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 567839651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-2)\/48*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 14. Let r be n(-8). Suppose -r*h + 5 = -1. What is the second derivative of 4*u**3 - 5*u - u**3 + 4*u**h wrt u?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 495 = 5*a, 0 = 3*a + 2*d + 2*d - 280. Let l = -95 + a. Solve l*m - 3*x - 23 = 0, -x = 3*m - m - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0*u**2 - 12*u**2 + 4 + 10*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 6803 (b) -8 (c) 0 (d) 0.5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7197127 is divided by 270.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8617 (base 13) to base 14.\nAnswer: 6ad4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 11*a**2 + 12*a - 1. Let k be r(-12). Let i be 1 + k + (-3 - -8). Solve 5 - 20 = -i*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - 2 - -20) + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6193*i - 148532. Determine z(24).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269590 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j - 4*y + 9, 3*j + 12 = y. Let c(i) = 1034*i + 2. Let f be c(j). What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-16 - (0 - 8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-7) + 5)\/((-5)\/35*1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 688 and 3544.9?\nAnswer: 2438891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593 + 10 = 50*t - 197, -4*t + 15 = -4*v - 37 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 83*b**2 + 95*b + 937. Calculate the remainder when 11360 is divided by r(-84).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 6}. Give prob of sequence ss.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/6)\/(-5)*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n + 4. Let a be f(-3). Let r be 2\/a - 63\/77. Does 9 divide r + 4 - (-6 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 123\/706, -0.1?\nAnswer: 123\/706","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 323, 322, 321?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 61*f**8\/336 + 2*f**4 - 86*f**2. What is the second derivative of h(q) wrt q?\nAnswer: 1220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + -3 - (-24 + 18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 205\/(-1320)*-6 - -9*3\/(-36)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -0.2. Let l = 3 - 2.98. Let q = l + y. Is 0 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 12*h + 37 - 37.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mwcmmjczmmzamjcazjcj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 292384457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 2, q: 3, g: 6, t: 2, r: 4}. What is prob of picking 1 q and 2 t?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 461\/6 + -77. Let s be 2 - (-8)\/4 - 3. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57957243 - 286.\nAnswer: -286.57957243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10 - (-2550)\/225)\/((-22)\/18)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 12*a**2 + 211*a - 3794. What is the units digit of g(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:32 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20104 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l = -12. Suppose 17 = l*y + 5. Solve 2 = -2*w - 2*i + y, -5*w = -2*i + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*(sqrt(3) - (sqrt(12)\/sqrt(4) - sqrt(3)))*-6*-1)**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-5)\/(7 - 2). Let f(x) = -6*x**3 + x. What is f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose 0 = 5*t - 25, 2*w + t = -a*t + 13. Suppose -w*r = r - 15, -5*c + 5*r = -255. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x*x*x\/x**(-1\/3))\/x)\/x)\/x)**(-2\/17) assuming x is positive.\nAnswer: x**(-8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 0*i + 2*i + 3*i - 4*i - 14*i + (3 - 2 - 3)*(0*i - i + 3*i) - 3*i + i + i to the form p + j*i and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3433110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 553999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006304251 to five dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 512712?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3)\/(-4))\/((-60)\/45)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, -4, 27 in decreasing order.\nAnswer: 27, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*g**2 - 887*g**2 - 894*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*f - 1, x = 5*f + 6*x - 10. Is 3*((-308)\/(-6) + f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 14 + 4)*(-u**2 + u**2 - 5*u**2) + (u**2 + 2*u**2 - 5*u**2)*(3 + 0 + 0) to the form c*u + r + x*u**2 and give x.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 2*t**5 + 4*t)*(1 - 1 + 3)*(0 - 2 + 1).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 - 2*i**2 + 1. Let h = 0 + 2. Suppose 3*q + 21 = 42. Suppose -h*u + q*u = -5. What is s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283 - 100. Let l = -181 + n. Solve l*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*w - 248, 5*u - 6 + 1 = 0. Let m = 294 + w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 2*v**2 - 4737*v + 9488. What is i(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let k = 18.6 + -22.6. What is the second smallest value in 4, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128508 and 24?\nAnswer: 257016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4512 and -121\/286464.\nAnswer: 13463808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caed when four letters picked without replacement from {a: 3, p: 3, e: 3, d: 5, c: 1}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28344181223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 o, and 1 y when four letters picked without replacement from odmommcmyomy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118143, 118131, 118119?\nAnswer: 118107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 11*m. Sort m, 3\/2, 3\/5 in ascending order.\nAnswer: m, 3\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*k = 14, -5*k - 11 - 16 = s. Let n be s + 2*8 + 2. Suppose n - 52 = -2*a. What is the greatest common divisor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2821495727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36 - 38 - (1\/8)\/(9\/66). Sort -2, s, 2\/9 in descending order.\nAnswer: 2\/9, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + (3 - 14) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/27984 and -131\/660.\nAnswer: 139920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/10 + 1472611*j\/10 + 5154114\/5 = 0. Calculate j.\nAnswer: -1472604, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 48732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 10561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 24 + 4. Suppose -h*m + 84 = -28. Suppose 7 = 3*c - 2*c. Calculate the highest common factor of c and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.75 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 31 + 47. What is the remainder when a is divided by (-96)\/(-10) - 2\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:48 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 - -103. Let c be ((-2)\/m)\/(18\/(-7)). Which is bigger: -2\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 + 3*x + 12. Let i(p) = -7*p**3 + 8*p**2 - 18*p - 73. Let g(w) = 2*i(w) + 13*l(w). What is g(-9)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-84252)\/459)\/(-236))\/(2\/(-4)*-7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Suppose b*c - w = 13, w + 6 = 5. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 36*p - 69. Let m be n(38). Differentiate 146 - 108*k - 73*k - 11*k - m*k wrt k.\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*n - 18, -6 + 18 = 4*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1574616, 1574581, 1574532, 1574475, 1574416, 1574361, 1574316, 1574287?\n\"Answer: n**3 - 13*n**2 - 3*n + 1574631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*g = -83, -r - 22 + 65 = -4*g. Let c be 12\/(-48) - r\/(-12) - -4. What is the nearest to -1\/5 in 4, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 109490*o**2 - 5315 + 2*o**3 - 109490*o**2 to y*o**3 + t + a*o**2 + v*o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -12*i**5\/5 + 21*i**4\/4 + 30*i**3 + 69*i**2\/2 + 12*i + 28. Suppose z(c) = 0. What is c?\nAnswer: -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8 (b) -2\/5 (c) -2\/19 (d) -4 (e) -0.06 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 11*q - 1. Let s be m(6). Let y(j) = j + 10. Let g be y(-10). Let z be ((-14)\/(-3))\/(-7) - g. What is the biggest value in s, z, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 + 0*o**2 - 3*o**2 + ((1 + 2 - 1)*(-2 + 5 - 4) - 19 + 75 + 16 + (-1 - 1 + 3)*(-1 - 3 - 1))*(-2*o**2 + 3*o**2 - 2*o**2).\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -a4?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, k: 1}. Give prob of sequence qk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 12 - 10, 5*k = 3*c - 1001. Let v = 105 + c. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 - 11*n - 8. Let s be h(-4). Let k be (-1 + 2\/s)*32\/(-16). What is the highest common factor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/110 and -143\/690.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 5*(4 + -4*(2*sqrt(539))**2)).\nAnswer: -215510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 5*k + 2*c, -k + 149 = 2*k - 4*c. Let q = k - 23. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3250 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**3 + 4*u**2 - 3. What is j(-3)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5 - 4*h**2 - 63350*h + 63350*h. Let d(y) = y**2 + 1. What is -6*d(i) - m(i)?\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7719072 at least 7719071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**17)\/((q**8*q)\/q)*q**(-3\/4)\/(q*q*q*q**(-5)))**(-35\/6) assuming q is positive.\nAnswer: q**(3185\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13506146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*n - 18 = 0, i - 3*n + 7*n - 3 = 0. Let t = -1.5 - -2.97. Let h = t + 2.53. What is the closest to 0 in h, -2\/21, i?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214, -398, -570, -730?\n\"Answer: 6*u**2 - 202*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 631 by -7077.\nAnswer: -631\/7077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 345 times -0.5\nAnswer: -172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -8*q - 5*y + 10, -3*y + 4 = -q. Solve -4*f = -w + 18, -2*w + 29 = -q*f - 4*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 371 + 81 = 3*m, 3*s = -4*m + 614. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 12. What is the second derivative of -c - c - 5*c**3 + g*c**3 + 4*c**3 wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 668, -4, 92 in increasing order.\nAnswer: -4, -3, -1, 2, 92, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11612 divided by 6.\nAnswer: 5806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330653.\nAnswer: 330653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:15 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1\/9 (c) -7\/8 (d) 473.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 + 240*t**2 + 7095*t - 351310 = 0 for t.\nAnswer: -38, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -0.2, 13\/5 in descending order.\nAnswer: 13\/5, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2393*g + 1220*g - 39*g.\nAnswer: -1212*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 6:29 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/10859 - 184723\/651540. What is the common denominator of -117\/20 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10107 + 580*z + 10108 + 1154*z. Let n(d) = -d. Determine n(j(y)).\nAnswer: -1734*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25421\/20 - 1275. Calculate the common denominator of y and 57\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5787 - 5771. Calculate the lowest common multiple of 1444 and v.\nAnswer: 5776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -3940.\nAnswer: -3939.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 8*d**2 + 48*d - 250. Let a be z(-3). Let f(g) = -g**2 + 3*g + 8. Let p be f(6). Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3981 divided by -2081\nAnswer: -3981\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 0.2808057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 2*j - 4. Let s be b(0). Let f be 9\/(-15)*(1 + s + 4). Let t = 4.95 + 0.05. What is the third biggest value in -4, f, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-6) - 31)\/((-11)\/(55\/(-10)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from bvabvbbvaabgbbaa.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + (-1*(sqrt(70)*-1 + sqrt(70)))\/(sqrt(160)*-1 - sqrt(160) - sqrt(160)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -54.12. Let c = p - 5.120000867. Round c to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/63)\/(-2)*309\/12 and (-6)\/(-6)*455\/20?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 9. Let y(x) = x + 4. Suppose -7 + 19 = -2*v. Let s(g) = v*t(g) + 15*y(g). Does 11 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3\/7, 0.5, 0.4.\nAnswer: -7, -3\/7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43760577?\nAnswer: 3, 7, 297691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/2 - 331*a**3\/2 - 22719*a**2\/2 + 886239*a\/2 + 7330986 = 0?\nAnswer: -177, -13, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*u + 21, -u + 3*k + 13 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966786832 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((124\/(-792))\/31)\/((-1)\/3). Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 23*g + 399, 2*h + h = -2*h + 9*g + 187 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -19153264056?\nAnswer: 19153264059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0*d**4 + 1\/80*d**5 - 1\/480*d**6 + 2\/3*d**3 + 0 + 0*d**2 - 10*d. Let b(v) be the second derivative of o(v). Factor b(n).\nAnswer: -3*n*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 26186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 26680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 3*u**2 - u + 2. Let y be p(2). Find n, given that -4*n**3 - 4*n**2 + 4 + 5*n**3 - y*n + 3*n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -15*w - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78726 by 21.\nAnswer: -26242\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 3*q**4 - 3*q**4 + (-5*q + 2*q + 5*q)*(q - 2*q**3 - q) + q**4 + 2*q**3 - 2*q**3.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162469 + 1183*g + 162469)*(0 + 2 - 4)*(-1 + 1 - g).\nAnswer: 2366*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27234670 by 46.\nAnswer: -13617335\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 + 43*c - 9. Calculate q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -389, -788, -1199, -1628, -2081?\n\"Answer: -f**3 - 392*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 32169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/124 and 49\/164.\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 212 - 697 = 0. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265810304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + y + 2 = -0*y, 5*d - 3*y - 6 = 0. Which is smaller: d or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n - 5*a + 15, 4*n - 5*a - 21 = 0. Suppose -n*y + 3*q = -89, 5*q = y - 0*y - 35. 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: Suppose 4*j - 23 = -3. Suppose 6*l + r = 8*l - 27, j*l - r - 72 = 0. Let n = 19 - l. What is the least common multiple of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/33860 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/(-135))\/(2\/2)*-5. What is the nearest to 2\/5 in d, 2\/7, -14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 3:18 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + -4 + (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**4\/12 + i**3\/6 - 3*i**2 - 9*i. Let c be j(-10). Suppose 4*p - 2*p = c. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52506 - -26?\nAnswer: -52460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/16? (a) 5 (b) -1\/72 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 156, 168, 170, 162, 144?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -72*m + 360. Let t be y(5). Let i = 4 - 2. Which is the nearest to 4? (a) i (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/(1\/12). Let o = 13 - x. Solve 4*w - 8 = -2*y, -2*y + o*w = -6*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 72*p**2. Let b(c) = -55*c. What is b(l(j))?\nAnswer: -3960*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/240)\/(2\/(-6)))\/((-27)\/(-36))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 4858 = -1767. Let o = -276 - r. Solve -q + o*q = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 12.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 951694 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -989.9 + 620. Let x = b + 389. Let i = x + -5.1. Is i less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/994 - -23027\/32802. Calculate the common denominator of h and ((-43)\/(-166 - 49))\/(30\/(-158) - 0).\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/184 and 133\/216?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 47827472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 28*y**2 + y - 2. Let x(k) = 29*k**2 - 1. Let q(o) = -2*i(o) + 3*x(o). Calculate the remainder when q(1) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*r = 18, 8 + 8 = -4*r. Let s = q - -20. Let z = 33 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 49\/4 of a meter?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*r - 25 = -0*r, 3*r = 3*w - 18. Let d = w - -4. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -v, -2*x = -6*x + 2*v + 10. Suppose -15 = 5*s, -z + x = 4*s + 8. Suppose 5 = -z*l + 9*l. Solve -d + 2*d = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, 10765.\nAnswer: -19, 5, 10765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1096\/93982*(-36)\/24*7\/(-3).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**3 - u**2 - 2*u - 10. Let l(q) = -7*q**3 + 2*q**2 + 3*q + 12. Let b(i) = -5*l(i) - 6*y(i). Let b(m) = 0. Calculate m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 27*p**2 - 13*p - 94. Calculate the remainder when j(-27) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/14 + (-20)\/(-8). Suppose 0 = -c*o + 35*l - 37*l + 2988, -2231 = -3*o - 4*l. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**3 + 7\/24*h**4 + 0 + 1\/12*h**5 - 25*h**2 + 0*h. Is b(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h**2 + 8*h - 14*h**2 + 5*h**2)*(1 - 4*h - 3 + 3*h).\nAnswer: -2*h**3 - 12*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 211603 (base 7) in base 14?\nAnswer: d503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 166?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**3 + 8*l**2 - 75*l - 729. What is the thousands digit of s(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 33*o**3 + 2*o**2 - 2*o + 8. Let x(w) = -w**3 - w**2 + w - 2. Calculate g(j) + 2*x(j).\nAnswer: 31*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1122225*v**3 - 3*v**2 + 94517 wrt v?\nAnswer: 6733350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 1100, 1123, 1164, 1229?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2. Let r(b) = -54*b - 2. Give u(r(n)).\nAnswer: 2916*n**2 + 216*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252410133*k**2 - 820819377*k.\nAnswer: -504820266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -551 and -0.859?\nAnswer: 550.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*f = -182*f - 12400. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 5*z - 4. Let g be a(-4). Suppose -j = o - 2, g = -5*o + 3*j - 0*j - 6. Solve o = -3*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuisiiciicuiiiu. Give prob of sequence uuu.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1040)\/9100)\/(1\/(5*-2))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.18692 hours?\nAnswer: 7872912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*k = 0, -24*k = -o - 25*k. Solve o = 4*z - 3 - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1997 - 5.1997. Let l = 3 + -5. Which is the third biggest value? (a) 5 (b) k (c) 2\/19 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or -112?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*f - 351*f = -182*f - 140 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 5*y - 16*y**2 + 0*y + 2*y - y**3 + 11. Let o be v(-16). What is the common denominator of -46 and (-2)\/o*(-2325)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-3 + 6))*-1. Suppose -y + w*y = 5*x - 8, 0 = -4*x - 16. Suppose -40*u = -72 - 88. Calculate the least common multiple of y and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 - 4*m**2 + 11*m - 3. Let y be 12\/3 - 1*(-2)\/2. Let t be h(y). Sort t, -6, 2, 1 in decreasing order.\nAnswer: 2, 1, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Determine g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 7*v - 2*v**3 - v**2 + 3*v**3 + 8*v + 1. Let t be q(-2). Let g = 11 + -6. Solve -d - t = 2*n, -4*d + d - 6 = g*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9))\/((-8)\/6 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 22 + 7*x - 11)*(-6 + 3 + 0 + (-4 + 5 - 2)*(-1 + 3 - 1) + 2 - 1 + 1) to u + g*x and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxa when three letters picked without replacement from {x: 1, a: 1, g: 5, f: 3, k: 5}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3752+3.59827\nAnswer: -3748.40173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 4*z, z + 6 = 4*n - 10. Suppose o + n - 20 = 0. Let y = 63 + -45. What is the smallest common multiple of o and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7578024*k**3 + 59584552?\nAnswer: -22734072*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1252197099*u**3 + 10*u**2 + 16*u - 142331 wrt u?\nAnswer: -7513182594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73744*j**3 - 162 + 329 - 167.\nAnswer: 73744*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 18 + (0 - 0) + (9 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 2*s - 3. Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/12)\/((-9)\/24). Let g = o + 1. Suppose 2*l = g*l - 36. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -39*d**4\/4 + 75*d - 112. Differentiate h(k) wrt k.\nAnswer: -117*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.13 - 0.13. Let i = f - 4. Sort -2, i, -0.1.\nAnswer: -2, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(14\/49*7))\/(14\/8).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 704 and 2948.\nAnswer: 47168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 5) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 5)*(-4 - 5 + 5) + 11 - 3 + 0)*(-i**2 + i**2 + 2*i**5).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in -2\/9, -0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 15. Let p(d) be the third derivative of -2*d**2 + 0 + 0*d**3 - 1\/24*d**4 + f*d. Let s(i) = 6*i**2. What is p(s(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 32*y - 2410. Give j(35).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13182 by 6.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let t(z) be the first derivative of -480*z**2 - 93. Determine t(n(y)).\nAnswer: 1920*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k + 32. Let q(x) = -6*x + 18. Give -3*c(u) + 5*q(u).\nAnswer: 3*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000647529339 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwfqjwzb. What is prob of sequence wz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 124160 (base 7) to base 11\nAnswer: 16375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24645 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(104) - (sqrt(104) + (1*sqrt(104) + sqrt(104) - sqrt(104)))))\/((sqrt(64)*2 - sqrt(64))\/sqrt(8) + sqrt(16)\/sqrt(2)*2).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35607 or 35608?\nAnswer: 35607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 40, 46, 54, 64, 76, 90?\n\"Answer: s**2 + s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, -981, 0.3, 0.01, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = -2*d - 32*k, -12*d - 33*k + 35*k - 28 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 1. Let q(b) = -7*b**2 - 2*b + 4. Let t(i) = -15*i + 1409. Let u be t(94). Give u*q(k) + 5*j(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + 11. Let j = -65 + s. Calculate the greatest common divisor of j and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 5\/3. Suppose -q*o = 3*o. Suppose o = -x + 2*x - 5, 2*x + 220 = 5*w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581326812 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -58068 (base 10) in base 5?\nAnswer: -3324233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (289 - 289 + 28*r**3)*(-2*r + r + 3*r) + (2*r + 3*r - 6*r)*(3*r**3 + 2*r**3 - 3*r**3) in the form p + o*r**4 + j*r**2 + y*r**3 + h*r and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 38. Find the common denominator of 1\/(4*(-7)\/f) and -15\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -273 + 1 + 87\/29. Let x(f) = 113*f**3 + f**2 + f. Let l be x(-1). Let w = l - q. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.19, 100, 0.07, 14, -2\/15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57397, 229601, 516607, 918415, 1435025, 2066437, 2812651?\nAnswer: 3673667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 8. Calculate r(10).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -799*f - 176 - 405*f + 176 - 983*f to s + u*f and give u.\nAnswer: -2187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 + 6*j - 4. Let o be v(-7). Let k = o + -1. Let h(n) = -2 + k + n. Let b(u) = -u**2. What is b(h(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477464459?\nAnswer: 3, 492488153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(0 - 3 + 4) + 6 - 3 + 1)*(-a - 7*a + 4*a)*(-4*a + 6*a - 3*a).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203995023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (26 - 30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4772 = -a + 3*a, a - 2 = 0. Let c = -769 - o. Suppose c - 2112 = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/2 - 672*c - 225792 = 0.\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -56, -135, -246?\n\"Answer: -16*t**2 + t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 45 = -6*r. Let h = -0.8 - -0.4. Sort r, -3, h in increasing order.\nAnswer: -3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798999236.\nAnswer: 2, 7, 28535687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -11556\nAnswer: -11558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -419916.878 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3) - (sqrt(3) - (4 + 2 + sqrt(3)) - sqrt(3))) - (5 + (4*sqrt(33))\/sqrt(11)))**2.\nAnswer: 300*sqrt(3) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 40 = 52 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(484) - (sqrt(36) - sqrt(36)*-4))\/((sqrt(242)*-2 - sqrt(242))*2 + sqrt(242) + -4*(sqrt(242) + sqrt(242)*-1 - sqrt(242))).\nAnswer: -18*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3102.57432 and -0.69535.\nAnswer: -3103.26967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)\/f)\/f*f\/f**(-2)*f**8*f*f**(4\/11)*((f*f**(-1\/3)*f)\/f)**(4\/17)\/((f**(-1\/6)*f)\/f**2) assuming f is positive.\nAnswer: f**(4371\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 3 - -9) + (3 + -1 - -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*a + 60, 0 = -2*r + 5*a + 2 + 25. What are the prime factors of r\/1 - (1 + 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 + 0.2. Let d = z + -6.5. Sort d, -5, 5 in decreasing order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (42\/10 - 6)\/(2\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*n**4 - 16\/5 - 25*n**5 - 488\/5*n**2 - 152*n**3 - 144\/5*n = 0. Calculate n.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -507*x + 506*x + 6, 5*x = 2*l + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 9 = -35 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**8*j)\/j**7)**17 assuming j is positive.\nAnswer: j**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/117*(-2)\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -2. Let y = -6 + c. Solve -3*z + 2*g - 24 - y = 0, -5*z = -4*g + 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8358519?\nAnswer: 3, 13, 107, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110.76 * 0.012\nAnswer: -1.32912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -16d7?\nAnswer: -16d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 12, 1 in descending order.\nAnswer: 21, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/(v*v**(1\/3)))**(-47)*v**(-2)*v**(-2\/15)*v*v*v*v**(-7)*v\/v**(1\/2) assuming v is positive.\nAnswer: v**(-8159\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205931, -411690, -617447, -823202, -1028955, -1234706, -1440455?\nAnswer: -1646202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 360451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = l + 267, -2*l - 255 = -5*f + 3*l. Let j(z) = z**3 - z**2 - z + 1. Let n be j(2). Calculate the remainder when f is divided by ((-3)\/(-9))\/(n\/261).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7227634 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: What is 1452 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*t - 3205 - 4098 + 3075 - 8575 + 135*t wrt t.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/91 (b) -0.5 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -35 - 43. Let g = 130 - w. What is the highest common divisor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39681421*k**3 + 15212699*k - 1 wrt k.\nAnswer: 238088526*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 - 5*f - 1. Let c be z(6). Factor 7*x - 6*x - x**2 + c*x + 4*x**2.\nAnswer: 3*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 173 = 3*r, 0 = -2*f + 7*f - 2*r - 193. What is the remainder when 73 is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84469125.\nAnswer: 3, 5, 13, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + 8. Let m(c) = 4*c**2 + 6. Suppose -4*l + 2 - 6 = -4*o, -8 = 2*l. Let r(i) = o*f(i) + 4*m(i). Let k(v) = 3*v**2. Give r(k(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -11004?\nAnswer: 10664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -799 (c) -2 (d) 3\/4 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183674.4 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381842?\nAnswer: 2, 190921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4522 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14816165 (base 9) in base 15?\nAnswer: -9b0435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-35313\nAnswer: -17656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -220075 rounded to the nearest one thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1040 and 63\/16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1\/(96\/(-3666)) - (-198)\/(-1056).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 0.1. Let t = -2.3 + y. Let j = 0.9 - t. Which is the smallest value? (a) -5 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + 4 + 2 + (42 - -1)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3541 + 3560. What is the biggest value in 4, p, -27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q + 0 - 1\/42*q**7 - 21*q**2 - 1\/24*q**6 + 0*q**5 + 0*q**4 + 0*q**3. Determine f, given that j(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jkxjueeeuujeejj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8079745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 8 - 44 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1516679*q**2 + 219839*q?\nAnswer: -3033358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*t**4 + 11*t**3 - t**2 - 2904*t?\nAnswer: -624*t**2 + 66*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*j = 153*j + 1909422. Calculate the highest common factor of 122 and j.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109984 and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16133 = 4*n - 16983. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.676534 nanograms in tonnes?\nAnswer: 0.000000000000004676534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - 3*y**2 - 33*y + 34. Let i be v(1). Which is bigger: 2\/299 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/23)*y*y)\/y**(-6\/7))\/(((y\/y**4)\/y*y)\/((y**(-31)*y)\/y)) assuming y is positive.\nAnswer: y**(-3894\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003808 to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10487.291056 rounded to one decimal place?\nAnswer: 10487.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*r - 88*r + 3242 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 = 3. Suppose 5*v = c + 2, -3*c - 6 = v - 16. Let o = 5 - 3. Solve -g*s + o = -c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -7*v**5\/120 + 5*v**3\/2 + v. Let k(i) be the second derivative of z(i). Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29848*c**4 + 11946*c**3 + 693301785*c**2 wrt c.\nAnswer: 716352*c + 71676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112008 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k**2 - k - 16. Let t(x) = 7*x**2 - x - 7. What is -3*m(r) + 7*t(r)?\nAnswer: 4*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 6*q - 10*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/358 and -14\/7635.\nAnswer: 2733330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11656, -11580, -11386, -11014, -10404, -9496, -8230?\nAnswer: -6546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17218368 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: Let i(q) be the first derivative of 13*q**5\/5 + q**4 - 20*q - 2. What is the derivative of i(o) wrt o?\nAnswer: 52*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*w + 2*g + 602, 0 = 3*w + 3*g + 372. Let k = w - -118. Let u be (-4)\/14 - 25\/7. Which is greater: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(153) + 2*sqrt(153)*-1 + sqrt(153) - 1*(sqrt(153) - (sqrt(153) - -1*sqrt(153))))\/(-1*sqrt(900)*1 - sqrt(900)))**2*-2.\nAnswer: -51\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*n + 3991*f**2 - f - 11*n**2 + 208*n - 4 wrt n.\nAnswer: -2*f**2 - 22*n + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 4, m: 1, i: 2, c: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:22 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**2 - 11*f + 11. Let o(l) = l**2 - l + 1. Calculate 6*n(j) - 66*o(j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-8)\/10)\/(-2))\/((-434)\/(-3410)). Factor 34\/7*q**3 + 6*q**2 + 4\/7 + c*q + 10\/7*q**4.\nAnswer: 2*(q + 1)**3*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26361540103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(2\/11))\/w)\/(((w\/(w**(4\/5)*w))\/w)\/w))\/((w\/w**(-2\/3))\/w)**29)**9 assuming w is positive.\nAnswer: w**(-8274\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -19*a - 4. Let z(s) = -s**3 + 13*s**2 - 20*s - 25. Let j be z(11). Let g(r) = 10*r + 2. Determine j*f(b) - 5*g(b).\nAnswer: 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, h: 2, r: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:24 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11098519 is divided by 370?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63466 + -63407.0908. Let c = 2.9182 - j. Let z = -56 - c. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -74*m + 22. Let v be p(-5). Suppose s = -39 + v. Suppose 8*b - 9*b + s = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 58, 95, 130, 163, 194, 223?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*k - 119, -55*k + n + 119 = -51*k. What is the smallest common multiple of k and ((-4)\/6)\/(-1)*9?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/9 + 402*w**3 - 3622*w**2\/3 + 10870*w\/9 - 1208\/3.\nAnswer: 2*(w - 1)**3*(w + 1812)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 6. Suppose -4*g + 30 = -j. What is the smallest common multiple of g and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose p*b = 4*b - 42. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 15) in base 11?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2909296720767+0.1\nAnswer: -2909296720766.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 55 = 8*x - 5*k, -4*x = -k - 59. Solve x = 4*b + 3*p, 5*b + 5*p = p + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - -21. Let s = d + -62. Let f = -21 - -21.5. Which is the biggest value? (a) f (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 21*s + 33*s. Suppose 0 = -s*n + 2*n + 4*x + 94, 5*n - 4*x = 265. Calculate the remainder when n is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 8*w**2 + 14*w - 11. Suppose 2*y + 3*y - 5*t = 10, -4*y + 2*t = -16. Is h(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/44, 1\/11, 3, 0, 2.54, 5 in descending order.\nAnswer: 5, 3, 2.54, 1\/11, 0, -3\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2\/17, -8\/5, 43 in increasing order.\nAnswer: -15, -8\/5, 2\/17, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(16\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7860 and 5?\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13869844187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 43, 54, 65, 76?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92830.73um to meters.\nAnswer: 0.09283073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*88\/(-5))\/((-111)\/555). Let n be (-110)\/g*-2*4. Solve 2*p = -2 + n, -3*p + 15 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiiiki. What is prob of sequence iki?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*f - 82620 = -906*f - 265*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 1728 = 9*j. Suppose -h + j = 11. Calculate the least common multiple of 3 and h.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -235c85?\nAnswer: 235c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmml when four letters picked without replacement from mmmlmmmmmmmmmmmllllm.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r - 2. Calculate y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 - 501*z**2 - 29416*z + 29916 = 0. What is z?\nAnswer: -54, 1, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672\/1169*4*7\/20?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 148 - 979752.28263\nAnswer: -979604.28263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2242300434?\nAnswer: -2242300424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4590 = -2*w, 0 = -3*q - 0*w + 5*w + 2785. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2. Let t be (-95)\/(-15) + 2\/(-6). Let s(f) = 8*f**2 - 7. Let z(l) = -7*l**2 + 6. Let o(h) = t*s(h) + 7*z(h). Calculate o(p(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.1 - -45. Which is the second biggest value? (a) h (b) 0.05 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*p + 260 - 260.\nAnswer: 67*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735 divided by -1.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 4. Let j(l) = -l - 6. Let u be j(y). Suppose -4*z = -u*z + 16. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/156*(24\/100)\/(-6).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37253577?\nAnswer: 3, 12417859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 + m + 25. Let s be (0 + -3)\/(9\/(-12)). Suppose -5*u - 4*g + 2*g = -2, 4*u + s*g - 4 = 0. List the prime factors of p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95737.5 millilitres in litres?\nAnswer: 95.7375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*w + 2 = 3*n, 4*w = 2*n - 4. Suppose 11 = n*r - 7. Suppose 3*p = p + 12. What is the lowest common multiple of r and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -36*y - 21. Let a(r) = -3*r - 7*r + 4 + 0*r + 23*r - 6*r. Determine -11*a(v) - 2*q(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -2\/2733.\nAnswer: -2\/2733, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 138 (b) 5\/6 (c) 8 (d) 4 (e) 437\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j**3 - j**3 + 9*j**3)*(5*j - 5*j - j + 0 + 0 - 2*j + (1 - 1 - 2)*(-7*j + j + 4*j) + j + j + 0*j - 2*j + 4*j - 4*j).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17\/4, -0.3, -48, 4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1416 and 6144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 156648701.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5105 and 21\/1316069?\nAnswer: 6580345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 + 2*a - 3. Let i(b) = 1352*b - 4058. Let r be i(3). Determine l(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.7910634s to days.\nAnswer: 0.0001827669375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3281545.\nAnswer: 5, 43, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:43 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 193515 = 3*y - 4*g, -g - 193505 = -3*y. Is ((-2)\/5 - 0)*y\/(-30) a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 24*d**4 - 54*d**3 - 48*d**2 - 15*d.\nAnswer: -3*d*(d + 1)**3*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107\/15 + (-328)\/2460?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-52) + 410130\/10881?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98.2414 and 1?\nAnswer: 98.2414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 10*x. Let f = 8 + -11. Calculate the remainder when u(11) is divided by 2*2 + f + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 + 630*g**2 - 42336*g + 814968 = 0. What is g?\nAnswer: 42, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104 + -1?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 0*o + 2*o)*(17*o**2 + 5 + 11 + 6*o**3 - 17) to a*o**3 + y*o**4 + z + b*o**2 + k*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 2, c: 1, k: 7, x: 4, y: 4}. What is prob of sequence ymc?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 4*k + 7*u - 16, -20 = -5*k - 3*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 6*i + 12. Let x be i - 3\/(-3)*6. Let o be (-2)\/((-2)\/5 + 0). Solve -j - 4*f - 12 = 0, x*j - 15 = o*j + 5*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -43. What is the highest common factor of g and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(30\/11))**(-1\/26)*p*p\/(p*p**(-42))*p*(p**(10\/13)*p)\/p assuming p is positive.\nAnswer: p**(6387\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 165\/(-11)*(6\/10)\/(-1). Suppose 8*z - t*z = -30. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 3*b - 7. Let x(w) = 6*w**2 - 2*w + 23. Let u(o) = 2*o**2 - o + 8. Let f(a) = 8*u(a) - 3*x(a). Determine -7*f(r) + 5*j(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 88\/(-55)*(-10)\/1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 1 = 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 42. Let x be j(16). What is the second derivative of -45*g - x*g - 30*g**2 + 87*g wrt g?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.15. Let j(z) = -z**3 - 8*z**2 - 5*z + 9. Let m be j(-7). What is the closest to 1 in 1\/4, g, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155\/79 + -153637\/474. Let u = -326 - i. Let v = 5740523\/164 + -35003. What is the common denominator of u and v?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5040\/2268)\/(4\/36)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 12 - 2*d - 5 to z*d + i and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4860927267.\nAnswer: 3, 7, 109, 2123603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*sqrt(99)*-1.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6300634 (base 7) to base 3\nAnswer: -1102102220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 6*q + 7. Suppose -22 + 37 = 3*a. Suppose 20 = 5*w - a. Let s(o) = o**3 - 7*o**2 + 6*o + 15. Let z be s(w). Give p(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/2 - 395*i**2\/2 + 46375*i\/2 - 1378125\/2 = 0.\nAnswer: 45, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1379*p + 159977. Calculate s(-116).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9322563?\nAnswer: 3, 233, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3\/3 - 1. Let h(s) = -4 + s**2 - s + 0 + 5. Let b(i) = -3*i**2 + 2*i - 2. Let u(n) = 3*b(n) + 6*h(n). Give u(m(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/12 + -16)*(-6)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9 + 64 + 26*a + 7*a + 62 - 5*a. Give v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66868*j**2 - 6362 + 66879*j**2 + 6362.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 312*z - 191. Is d(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -14. Let u be (46 - (-2 + 2))\/q. Let i = u - -30. What is the remainder when 48 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -113121?\nAnswer: -113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78894, -157636, -236378, -315120?\nAnswer: -393862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4, -2\/5, -14.44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: aa9 (base 14) to base 15\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -2\/11, 0.4803, 0.3.\nAnswer: -0.5, -2\/11, 0.3, 0.4803, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 272202 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwywyyyyw. What is prob of picking 2 y?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -621 + 625. Let y(o) be the third derivative of 0*o + 1\/210*o**7 + 0*o**3 - 1\/120*o**6 + 0*o**5 - 5*o**2 + 0*o**g + 0. Let y(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 2*i + 4. Let h be o(-3). Let a = -5 - h. Let w be (-63)\/60 + a\/12. Put -4, 0.1, w in descending order.\nAnswer: 0.1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150492, 150477, 150458, 150441, 150432, 150437, 150462, 150513?\n\"Answer: p**3 - 8*p**2 + 2*p + 150497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 177. Solve s*c + 18 - 46 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 8, i: 2}. What is prob of sequence cici?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*d - 7, 4*p + 2*d - 2 = 2*p. Suppose 0 = 2*y + p*m - 1116, -1828 = -5*y - 4*m + 957. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/((h**(-2)\/h)\/h))**(-1\/6)\/((((((h\/(h*h\/((h\/(h**(-3\/4)\/h))\/h)))\/h)\/h)\/h)\/h)\/(h\/(((h**(-2\/17)*h)\/h*h*h)\/h)*h*h))**24 assuming h is positive.\nAnswer: h**(10899\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 224\/10 + 0 + 20852\/8020\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 216326 (base 10) to base 15\nAnswer: 4416b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(-66 + 25 - 24)*(-5 + 0 + 3)*(-4*w + 2*w + w).\nAnswer: 390*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4490, -8991, -13506, -18041, -22602, -27195, -31826?\n\"Answer: -w**3 - w**2 - 4491*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308394 by -27.\nAnswer: -11422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438 - -442. Solve 0 = -4*k + 20, -7*g - t*k + 16 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = p - 5, -v - 10 = -4*p. Solve -2*o + 4 = -p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - n + 31 = -4, 4*p - 5*n = -49. Let t(a) = a + 8. Let w be t(p). Let -1\/4 + 0*b + 1\/4*b**w = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3717128ml?\nAnswer: 0.0003717128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 949 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**6 + 11*q**3 - 77*q**2 + 2*q wrt q?\nAnswer: -840*q**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 + 4*g**4 - 579*g**3 + 5428*g**2 - 4*g - 2?\nAnswer: -60*g**2 + 96*g - 3474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31201044 (base 5) to base 3\nAnswer: 111000201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 + 4*l**3 - 22*l**2\/3 + 4*l.\nAnswer: -2*l*(l - 3)*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3111808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.1. Let s be 4*-26*(-16)\/(-10). Let f = s - -167. Which is the nearest to l? (a) f (b) 2\/9 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1909637.8853656 - 0.1146344. Let q = l + 1909624.999945. Let w = -13 - q. Round w to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55631853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 2*v**2 - 31*v - 10. What is the tens digit of d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36880897219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 42*l + 3919. Let w be u(87). Solve w*g - 4*y = -5 + 9, -5*y - 1 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010001001 (base 2) to base 16\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -943 - -990. Calculate the remainder when 98 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, -122, -2\/25, 6\/5.\nAnswer: -122, -19, -2\/25, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 14 = -23. Suppose 0 = q + m*s + 7, -4 - 9 = q + 5*s. Suppose -2*p = -2, -q*p + 7*p + 815 = 4*v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*c + 5*t + 197, -125 = 5*c - 4*t - 162 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 220 + 192 = 0. Solve -2*p - 3*n + k = -1, -5*p + 22 = -n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 - 3)*(0 + 2*j + 0).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 14*q - 10*q - 42, 5*q - 4*c - 39 = 0. Put -46, 5, q, -2 in increasing order.\nAnswer: -46, -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/12 - j**3\/6 + 5*j**2\/2 - j. Suppose -2*t = -5*t. What are the prime factors of a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5671510 by -2835755.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 less than 1455682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + (-2)\/(-3). Let o be 7 + -2 - (-1)\/4*4. Suppose f = 3*n + o - 3. Which is smaller: 6\/23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*y + 23 = 225*y + 5*z, -40 = -2*y - 4*z. Let p(l) be the second derivative of l**3\/3 + 7*l**2\/2 - 2*l. Let x(w) = 2*w + 8. Calculate y*x(t) - 7*p(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 525*f - 3725. Let g be i(7). Let l = -14 + 9. What is the closest to -1 in l, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = 3*d, 3*l + 4 = -2*d - 3. Calculate the remainder when 27 is divided by (-2)\/((-8)\/(-10) + l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(18)\/(sqrt(9) + (sqrt(81) - sqrt(81)*-1) + sqrt(9)) + -4.\nAnswer: -4 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 82210 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 30211137*g - 30211137*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(2448) + 1) + -6*((sqrt(2448)*-4 + sqrt(2448) - sqrt(2448))*-2 - sqrt(2448)))**2.\nAnswer: -4800*sqrt(17) + 6120016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/17? (a) 4\/7 (b) -23 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 23*a = -27*a + 724, -2*a = h + 258. Let z = h + 274. Calculate the greatest common divisor of z and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1)\/10*-3 + 4796\/(-4360). Which is the closest to o? (a) 43 (b) 1.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6485 less than 51891\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(17\/(-85))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 - 5*b - 3. Let r(n) = -n + 5. Let c be r(-6). Suppose 30 = c*i - 5*i. Let a(w) = -7*w**2 + 6*w + 3. Calculate i*a(g) + 6*h(g).\nAnswer: g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.6 - 24.60000199. What is q rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5672 = p, 4*f = 204*p - 201*p + 11344. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -997a (base 14) in base 8?\nAnswer: -63710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4767293 - -8843327713\/1855. Let i = -1\/265 - k. Find b such that 6\/7 - i*b**4 + 9\/7*b**3 - 9\/7*b - 3\/7*b**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.9368 and 0.1.\nAnswer: -3.8368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 1634\/83?\nAnswer: 1634\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4651 - 2232. What is the highest common divisor of 41 and s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 2*m**2 + 5*m**2 + 7*m**2 - 3*m**2 - 3*m**2 + (m + m - 4*m)*(-m + 2 - 2) - 40*m**2 + 101*m**2 - 2 - 54*m**2.\nAnswer: 12*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = k - 4*q, 2*k = -4*q - 9 + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/33)\/(22\/3). Let w = -47\/66 + j. What is the closest to 0 in 0.4, w, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 7*t - 9. Let n be d(-9). Solve -5*f + n = l, 0 = -5*l + 3*f - 2*f + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 116160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368188896.\nAnswer: 2, 3, 3835301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*p**2 - 46*f**2*p - 2*f**2 + 1105*f*p**3 + 25*f*p - 3*f + p**3 - 364*p**2 - 65*p - 1 wrt p.\nAnswer: 6*f**2 + 6630*f*p + 6*p - 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277 (base 8) to base 13.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v - 40. Let t(q) = 6*q + 6. Let n(b) = -2*b - 2. Give v*n(s) - 3*t(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16613.2 - -16595.19946. Let m = f - -18. What is m rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 + 2*k + 5. Let c be r(4). Let p be 1 - (c + 11)\/(-4). Which is greater: p or 12\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 2*m - 11*m**3 + m**2 + 11*m**3 - 1 + m**4 to the form y*m**2 + b + p*m**3 + l*m + a*m**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740996 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631 is divided by 416?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + (-41 - -119) - (1 + -1 + -2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56264855 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d - 194*d + 44*d - 6*d + 18414 = 0 for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*y**2 + 13*y**2 - 14 - 39*y**2 + 9*y**2 to the form v*y + p + g*y**2 and give g.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 8 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 72, -475, 0.4, -3?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1356, 1374, 1424, 1518, 1668, 1886?\n\"Answer: 2*d**3 + 4*d**2 - 8*d + 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let b be n(1). Let g be 8 - 6 - b*1. Suppose g*t + 48 = 6*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2897.97 weeks?\nAnswer: 1752692256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18619527, -18619493, -18619437, -18619359?\n\"Answer: 11*u**2 + u - 18619539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2266 and -101\/1892?\nAnswer: 194876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c**2 - 2*c**2)*(-69*c**3 + 305*c**3 + 2935*c**3)*(3 - 5 + 1).\nAnswer: 3171*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5\/c)\/c)**(1\/20) assuming c is positive.\nAnswer: c**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 2:35 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 800\/(-480)*(-1)\/5*-93?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (16 - 13 - (-22 + 1)) - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k + 3370 = 0. Let h = -639 - k. Calculate the remainder when 91 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -2938 - 3 - -4. Suppose 7*a = 2*a + n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*u**3 - 219*u**3 - 2765*u**3.\nAnswer: -2703*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*g + 170*g - 12804. Let l = g - 632. What is the greatest common factor of l and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.39688 greater than or equal to 457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*447\/(-45892)*(-1)\/(-9)*1*18?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.82 and 14?\nAnswer: -193.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from pzpg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-62 + 58)\/((-168)\/18)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxm when three letters picked without replacement from xrrxmrmx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43200725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 34692*v**2 + 295. Let c(r) = -354*r**2 - 3. Give -295*c(s) - 3*q(s).\nAnswer: 354*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 1161\/185?\nAnswer: 1161\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19825 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in 2\/3, 4, -289\/2, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 17. Let g(q) = 3*q - 11. Let c be g(5). Suppose 2*y - 2 = 2*t, -c*y + 2*t + 13 = 5. Solve d = -d + o, 2*d = y*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2\/19 (c) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -12544*i**4 + 11265184*i**3 - 603465*i**2 + 8082*i = 0.\nAnswer: 0, 3\/112, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (345\/138)\/((-29)\/290)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8070232 smaller than -8070231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 18 = -3*a. Let s be ((-3)\/a)\/((-42)\/30). Let v = 40\/77 + s. What is the biggest value in v, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 3, -0.4, -4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25772.34 years in decades?\nAnswer: 2577.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + 10*r**2 - 35*r**2 + 7*r**2 + 8*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56672754 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -125?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36640556.000563 - -36640900. Let q = -344 + l. Round q to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20212020 (base 3) to base 7\nAnswer: -20403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11852, -16345, -20838, -25331, -29824?\nAnswer: -34317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -10302.\nAnswer: -10302, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/192 and 3\/8?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 39520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.85772 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5918639 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5486961, 5486967, 5486973, 5486979?\n\"Answer: 6*u + 5486955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143438.\nAnswer: 2, 1571719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32\/81 - 115\/324. Let w be 6 + (-2 - -1) + -1. Suppose 0 = 4*u + w. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = 5*b, 103 = -z - 2*b + 95. Solve z = 6*o + 17 + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 0.8. Let u = 20065 + -20064. What is the third biggest value in u, 0, z, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*q = o + 130*q - 3, -5*q + 17 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + -3 + 9 + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Suppose 2*r = -d + 7. Suppose -r*u = -u - 12. Solve 5*w - 2*w = u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from kzemmekkkeze.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 4*i**2 - 3*i + 9. Let g be x(-5). Let p = -20 - g. Let s = p + 71. Solve o + 3 = s*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -2003?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14070269777 = -334*a - 56058680442 - 7382429781. What is a rounded to the nearest 1000000?\nAnswer: -232000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 632*k - 48. Calculate the remainder when h(1) is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*u - 4. Let w = 20 - u. Suppose 0 = -3*c + 4*x - w, 2*c - 3*x = -c - 6. What is the second smallest value in c, 0.1, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 47.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 9 + 23. Suppose 2*n + 0*n - 10 = -4*s, 7 = 3*n - 2*s. Let a(o) = -2 - o + n*o - o. Calculate a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-9\/2))\/(y*y**(-4\/11)*y))\/(y\/(y\/(y\/y**(1\/4)))*y**(-10)*y))**(-27) assuming y is positive.\nAnswer: y**(-3699\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 3*w**3 + 16*w**3)*(1864 - 1864 - 31*w).\nAnswer: -465*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c + 39. Let i(n) = -n**3 - 14*n**2 - 18*n + 11. Let v be i(c). Suppose -2*j - 3*p = -4*j + 30, -4*j - 2*p = -v. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -j, f - 95 + 98 = -j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3322, -6655, -9992, -13333, -16678, -20027?\nAnswer: -23380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22435*p**3 - 449*p**2 + 449*p**2 - 51083*p**3 - 29363*p**3.\nAnswer: -58011*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -671\nAnswer: -2\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from intyinm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + 5*a**4\/24 + 19*a**3\/6 - 33*a**2. Is u(-6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:33 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -874541111*i + 59732747.\nAnswer: -874541111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -650, -0.13, -11371?\nAnswer: -650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 3.4. Let j be 8 - (-10)\/(-9 - -8). Let m = 0.16 + -0.26. What is the nearest to j in 0.4, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235 + -235.00033. What is i rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 422406*i - 2714*i**2 - 422406*i.\nAnswer: -2714*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:17 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -6*n + 8\/3*n**6 + 0*n**4 + 360*n**3 - 18*n**5 - 1 - 5\/42*n**7 + 0*n**2. Solve y(a) = 0 for a.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 18 = 108. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = -q. Let s = 190 - 187. Suppose s*d + 4*p + 5 = 1, -4*d - 2 = 2*p. Solve -3*h + q*h = d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 1792582?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39928 and 10948?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7443555141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - (-6540)\/105. Suppose 4*u - 5*q - 127 = 0, 2*q = 4*u - 2*u - g. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.064 + -7293.064. Let b = u + 7292.99994142. Round b to six dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i - 157. Let c be k(-23). Solve 2*v - 5 + 19 = 3*b, -2*b + 20 = -c*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g - g**2 + 6*g - 5*g - g - 5. Let a(c) = -c + 2. Let l be a(-5). List the prime factors of x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3341054 - -5?\nAnswer: 3341062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/5)\/(((-208)\/130)\/4)*4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491, 493, 497, 503, 511, 521?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 2317, 5205, 9245?\nAnswer: 14437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92930 + 92934. Factor 0*s**3 - 3*s - 3\/2*s**x + 0 + 9\/2*s**2.\nAnswer: -3*s*(s - 1)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 8*i**2 - 6*i**2 + 4*i + 209 - 68. List the prime factors of u(0).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78469 is divided by 473.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 377537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7\/5)\/((-16)\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17159*s**2 + 8*s - 19. Is x(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 116*m**2 + 0 + 123*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-20))\/(-4))\/(-1*51\/(-15))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -221480, -442954, -664416, -885866, -1107304, -1328730?\n\"Answer: 6*f**2 - 221492*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*u - 3*o, -4*o = -u - 3*u + 80. What is the remainder when u is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-70) + (-24)\/(-56).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g - 4*h, 5*h - 4*h - 155 = -5*g. Suppose -45 = -2*f + 45. Calculate the highest common divisor of f and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-84))\/((8\/36)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:59 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 7*f + 16. Suppose -1 + f = 2*b - j, 9 = 3*j. Find the first derivative of -2*z**b + 5*z**3 + 0 + 3 - 4*z**3 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:07 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2342 and 18.\nAnswer: 21078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 66. Let p = x - 47.0000133. What is p rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -689*l**5\/60 + 1323*l**4\/8 + 11235*l**2. Find the second derivative of u(t) wrt t.\nAnswer: -1378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21965 and 843065.\nAnswer: 161025415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4036208)\/59364 - -68)\/((-4)\/(-9))?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-2 - -44)*(-5)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.286 - -0.014. Let t = n + -0.3. Which is the nearest to t? (a) 0.1 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613881?\nAnswer: 3, 68209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(48) - (-4 + -1*sqrt(3)).\nAnswer: -11*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**11\/u*u*u**(2\/65)*(u**(-5)\/u)\/u**(8\/11) assuming u is positive.\nAnswer: u**(3077\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 6, o: 4}. Give prob of sequence omlo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 63. Which is the closest to 2\/3? (a) 1\/4 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 10. Let q be -3 + (-3 - u - -8). Solve -6*x - q = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:11 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2)*-6 + sqrt(189)\/(sqrt(9) + sqrt(9) + sqrt(9) + sqrt(45)\/sqrt(5)))\/(sqrt(35)\/(sqrt(405)*-2)*1).\nAnswer: 207*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 1 a when three letters picked without replacement from kiddiaiadakaid.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4641 - 4*z**2 + 2285 + 2*z**3 + 2314 - 29*z**2 as i*z**2 + r + j*z + a*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6206.328 micrometers to meters.\nAnswer: 0.006206328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Let g(k) = k**3 - 18*k**2 - 43*k + 65. Let z be g(20). Calculate the common denominator of i\/(z + -1) + 354\/248 and -9\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 5:09 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19637 is divided by 6176.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6 + 3 - o - 3*o + 3*o. Calculate a(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 6*q + 24*q - 130 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 4*f + 6 = 35*z, -5*z = -3*f - 13. Find v, given that 37\/5*v**z + 9\/5*v + 27\/5*v**3 - 1 + 4\/5*v**4 = 0.\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 + 6*k - 5. Let t(p) = -17*p**2 + 39*p - 33. Let n(o) = -8*o**2 + 20*o - 17. Let m(w) = -5*n(w) + 3*t(w). Calculate -6*m(u) + 17*y(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 29214*u**2 + 6*u - 8. Let i be g(3). Let x = -326064 - i. Round x to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**3 + 6 - 6 - 3*u**2 wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose 0 = -4*n + l - 6*l - 8, -4 = 4*n + s*l. Let m = -1 + n. Which is the closest to -1? (a) 0.4 (b) -2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(143) - (2*sqrt(143) + sqrt(143) + sqrt(143))*-1)\/(sqrt(99) + 2*sqrt(99)) + -5)*-1*1)**2.\nAnswer: 50*sqrt(13)\/9 + 2350\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from qskqqkssqqk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -425 + -111300?\nAnswer: -111725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -u + 20, -503980*u + 503985*u = -q + 2 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53957, -53959, -53961, -53963, -53965, -53967?\nAnswer: -53969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfofgffgfffmgfgm. Give prob of sequence mo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdovvvooovo. Give prob of sequence vov.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 97 (base 13) to base 2\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354.078ml in litres?\nAnswer: 5.354078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -47*v - 28*v. Let l(y) be the first derivative of -2*y**2 + v*y - 4\/3*y**3 - 2 + y**4. Factor l(i).\nAnswer: 4*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-153)\/6 - (-3)\/2. Let w be 6\/(2 + 57\/v). Let t = w + 15. Is t != -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349570602 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 7804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = 0, -3*l + 0*l + 5*a - 14 = 0. Suppose 2*m - 36 = -l*y, 3*y - 19 = -m + 5*m. Let t(s) = -s**2 + 21*s + 21. Is t(y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 21 + 27. Let u(r) = 5*r - 3. Determine u(h).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/12 + 5*k**3\/6 - k**2. Let n(q) = -3*q**2 - 2*q**2 - 26932 + 26928 - 4*q + 4*q. Determine 5*n(o) + 4*u(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 145, -4 in ascending order.\nAnswer: -4, 0, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*q - 275*q + 8*q - 234*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - 8*a + 4. Let c(d) = d**2 - 1. What is -6*c(r) - k(r)?\nAnswer: -2*r**2 + 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-30))\/(-6*((-1892)\/80)\/11).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7530 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*w + 2, 46*w = 3*q + 43*w - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/70*(-22521 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 741, 1459, 2131, 2751, 3313, 3811?\n\"Answer: -j**3 - 17*j**2 + 776*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*f + 8*f + 44*f)*(1 + 0 - 2)*(f**2 - f**2 + 2*f**2) as v*f**3 + c*f + b + h*f**2 and give v.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 - 15594339.38\nAnswer: -15594339.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w. Let n be z(1). Let g(u) = 6336*u - 50623. Let o be g(8). What is the greatest common factor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 less than or equal to -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1 = -f, 2*b + 18 = -0*b + 4*f. Let k be b - (-1 + -1 - 1). Suppose 0 = -2*z - k + 10. Let v(u) = u**2 - 1. Give v(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 154*x + 823. What is n(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36034635, 72069270, 108103905, 144138540, 180173175, 216207810?\nAnswer: 252242445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 7*s. Let n(t) be the first derivative of -1\/6*t**6 + 0*t + 1\/5*t**5 + 0*t**4 + 0*t**3 + s*t**2 - 1. Factor n(r).\nAnswer: -r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*h*x**2 - 3*h*x + 250*h - 939*x**2 - x + 8 with respect to x.\nAnswer: 26*h*x - 3*h - 1878*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 627 + -631. Sort l, -1, -4\/3, -2\/5.\nAnswer: l, -4\/3, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11945291 to the power of 1\/2, to the nearest integer?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, 1, -1 in decreasing order.\nAnswer: 1, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - 1.2. Let x = -3 - -4. Put 4, x, u in descending order.\nAnswer: 4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 4*q**2 + 4*q - 7. Suppose -5*i - 8 = -23. Let a be b(i). Is 15 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**2\/2 + h + 1. Suppose 3*n + 5*f + 9 = 2*f, -3*f = -n - 15. Let k be (2\/n)\/((-3)\/(-9)). Calculate w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 - 1859\/8. Let v = -1 - -3. What is the biggest value in c, 4\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -c. What is the common denominator of -47\/9 and (-97)\/c + (-6)\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*s**2 + 54*s + 111\/2.\nAnswer: -3*(s - 37)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*k + 51, -3*r = 4*k - 5*k - 42. Calculate the remainder when -6*(20 - -4)\/(-4) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 6, -20, -58, -108, -170, -244?\n\"Answer: -6*k**2 + 4*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -29*l**2\/2 - 2*l - 4. Let w be u(2). Let f be w\/(-14) - (-2)\/(-7). Solve 5*j = 5*x - 15, 4*j + f*x + 0*x + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 7*a**2 - 2*a + 11. Let z = -134 + 142. Let w be y(z). Let k = w - 18. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 36, -2\/9, 4, -6114?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1561 - 64005\/41. Let f = 355 + -357. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823764917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.2943 litres in millilitres?\nAnswer: 408294.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110819, -110801, -110789, -110783, -110783?\n\"Answer: -3*m**2 + 27*m - 110843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 434657769*c**4 + 996269447 wrt c.\nAnswer: 1738631076*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 317*r - 95*r - 130*r + 4*r**2 - 92*r. Let h(u) = -1571*u. Give y(h(j)).\nAnswer: 9872164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:47 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = -2*h - 5, 2*o + 2 = 5*h. Let q be 6\/o*(-3)\/9. Suppose q = -3*g - 4*j, g = 5*g + 3*j - 9. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-18)\/(-4))*-12. What is the tens digit of 3*i\/9 + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1950, -4029, -6152, -8325, -10554, -12845, -15204?\nAnswer: -17637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -0.4, 2\/9, -0.3, -2\/1819?\nAnswer: -2\/1819","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 1682*m**2 + 2*m**3 - 1461*m**2 + 3143*m**2.\nAnswer: 2*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4922, -19657, -44202, -78557, -122722?\n\"Answer: -4905*n**2 - 20*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {q: 1, o: 1, v: 1, z: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 124 = -5*b + 155, 0 = -3*d - 3*b + 24. Suppose 4*w = 4*u - 5080, -84*u - 6350 = -89*u - d*w. What are the prime factors of u?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23 + -22)*(73 - -1). Suppose 4*t + a + 43 - 103 = 0, -5*t + w = a. Solve -5*v + 5 = 4*h, 2*v + t = 3*h + 39 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -3*a - 5*c, 3*a = 3*c + 21. Suppose -6*k - a*t = -2*k - 31, k = -t + 9. Calculate the highest common factor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*v = 16*v + 17994705. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104058203 to the nearest integer?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/37, 0.2, -0.9, -4?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -5*q - 4*f, 3*q - f = 15. Let o = -3 + 7. Is q greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 957, 1824, 2689, 3552, 4413, 5272?\nAnswer: 6129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 856 = -2708. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*x - 158*x + 0 + 0 to the form y + g*x and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421 - -22402?\nAnswer: 23323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1062, -3283, -6972, -12129?\nAnswer: -18754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 68 - 27 = 5*b - 9, 702*z = 195*z + 18759 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*(14\/4)\/(-7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:50 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -211223 (base 4) to base 12\nAnswer: -148b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 12*g**2 + 13*g + 69. Let x be y(-11). Suppose h + 17 - x = 0. Let l(z) = 19*z**3 + z**2. What is the least common multiple of l(1) and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 2:10 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192.77 + 329.86. Let z = i + -138. Let w = -0.71 - z. What is the closest to 0 in 2\/7, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8157601.5 rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 - 356*l**3 + 463*l wrt l.\nAnswer: -24*l**2 - 2136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:42 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -214*l - 9628. Let h be a(-45). Let m = 10 + -6. Suppose 5 = m*b - 3. Solve b*q = h + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**3 - 19*k**3 - 1 + 2*k - k**2 + 2*k**4 + 4*k**3 + 5*k**3 to the form l*k**4 + s*k**3 + a*k**2 + t + q*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkh when three letters picked without replacement from {h: 7, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -66. Let m(g) = -30*g - 677. Let x be m(-23). Let v = t + x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77467\/1888 + (-410)\/10?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 - 288.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 + 2791*t - 8334. Give l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1095*b + 587*b - 1377*b + (1 + 2 - 2)*(-2*b - 2 + 2) + 2 - 2*b - 2.\nAnswer: -1889*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 290603 divided by -2?\nAnswer: -290603\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, p: 2, e: 9}. Give prob of sequence plll.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1182*-0.38933.\nAnswer: -460.18806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -20*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-11 + -7 + 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 441301 (base 8) to base 5\nAnswer: 14220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (14 - 16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 881 (base 11) to base 16\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 5*d = -59*i + 20, -i + 5*d = -24 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.471 - -2.3. Let m = r - 0.229. Which is the third biggest value? (a) -3 (b) -1\/15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, 4\/3, 23 in decreasing order.\nAnswer: 23, 5, 4\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28862 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671393735?\nAnswer: 5, 1847, 72701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10647789 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5*f**2 + 8)*(10*f + 18 - 18)*(1 + 1 + 0) + (-4*f - 2*f**2 + 4*f)*(-1 + f + 1).\nAnswer: 98*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 0)*(-2 - 3 + 4) + 0 + 7 + 1)*(4 - 2*u - 4) to the form i + w*u and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 882 + -849. Calculate the remainder when 38 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19*u - 52 - 241*u**2 - 231*u**2 + 471*u**2. Let o be k(-17). Is ((-1161)\/15)\/(o\/60) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + b - 184 = 0, -5*b = -3*c - 70 - 58. Round c to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(1\/4)))\/(q*q\/(q\/((q\/q**(1\/4))\/q)))*(q*q**(-2\/7))**(11\/5) assuming q is positive.\nAnswer: q**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 8:47 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/16898 and -79\/2273988.\nAnswer: 15917916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-24)\/(f**(-1)*f)**(-1\/56))**(-14) assuming f is positive.\nAnswer: f**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 2*l**5 - 3*l**5 + (0*l - l + 0*l)*(-24 + 24 + 3*l**4).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5572 = -5*p, 0 = -p - 4*v + 491 + 620. Let k = -316 + p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0043 + 87917923\nAnswer: 87917923.0043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 658906171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let o(a) = -255*a**2. Calculate o(b(z)).\nAnswer: -1020*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-188)\/(-423))\/(4\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134.4 - 161. Let q = k + 27. What is the biggest value in -0.2, q, 0.06?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36844526\/1167 - -31572. What is the common denominator of g and 26\/33?\nAnswer: 12837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18522 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + -4 + 4.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 643*x. Let d(m) = 223*m. What is t(d(f))?\nAnswer: 143389*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o**2 - o**2 - 2*o)*(-37*o**2 + 29*o - 29*o).\nAnswer: 74*o**4 + 74*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 590501451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - -2. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432 (base 6) in base 5?\nAnswer: 14434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, i: 6, f: 1, h: 3, l: 2}. Give prob of sequence jlh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.5 - 44. Which is the nearest to 0? (a) 0.3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1272415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/2 - 561*i\/2 + 846 = 0.\nAnswer: -564, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + 1 - (25 + -11 + -39)) + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*a + 19 = 98*a + 3*g, 3*a = -2*g - 46. Is -117\/7 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(16))\/(sqrt(288)*1)*1.\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-30))\/((-60)\/(-80)). Sort 12, h, -15.\nAnswer: -15, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -3*p - 103. Let c be 12\/p + 66\/17. Solve -3*q + 2*u + 2 = 0, 5*u + 5 = -c*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*5\/(-20)*(-28)\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108723 or -109300?\nAnswer: -109300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 254*t**4 + 15343*t**3 - 123922*t**2 + 318656*t - 209824 = 0?\nAnswer: 1, 4, 79, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 9*w**2 - 12*w - 4. Let a be c(-10). Suppose -z + 5*z = a. Suppose -2 = -6*v + z*v. What is the remainder when 4 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1045)\/1463*(-798)\/(-2565).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/968 and -13\/954?\nAnswer: 461736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 612?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48835.\nAnswer: 5, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 2*w**2 - 2*w**2)*(3*w + 5 - 5) + (50*w**3 + 13*w**3 + 16*w**3)*(7 - 4 + 60).\nAnswer: 4983*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*o + 307739, -217*z + 615489 = 4*o - 212*z. 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 {l: 1, t: 2, r: 2}. What is prob of picking 2 t and 2 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b. Give t(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvlyipyykkippp. What is prob of sequence vppy?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/6 - 7*t**2\/2 + 45*t\/2 - 81\/2 = 0. Calculate t.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 13*n**2 - 23*n - 138. Determine b(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9)**(-3\/10)*(h\/((h\/h**(-7))\/h))**(-17) assuming h is positive.\nAnswer: h**(993\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262035168.\nAnswer: 2, 3, 2729533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.05 (b) 90.7 (c) -5 (d) -1\/4 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76983635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47310580*h**3*s - 1005*h**2 + 2468*s wrt h?\nAnswer: -283863480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Suppose 3*b + 1 - 7 = 0. Let f(l) be the third derivative of 0 + 0*l**3 - 1\/60*l**5 + 0*l**4 + l**b + 0*l. What is x(f(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 39*r + 408 = -58*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -44, -76, -126, -200, -304?\n\"Answer: -v**3 - 13*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let o = j + 1. Differentiate -k**o + 2*k**3 + 0 - 2 with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5 - 2*f - 6 - 3. Let w be z(-3). What is the third derivative of g**4 + g**2 + w*g**2 - 2*g**5 - g**4 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -6*(sqrt(48) + sqrt(12) + sqrt(12))) + (-5*(sqrt(336)*2 + sqrt(336)))\/sqrt(7).\nAnswer: -108*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148, 290, 436, 586, 740, 898?\n\"Answer: 2*q**2 + 136*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1606 (base 11) to base 2.\nAnswer: 100000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owcfcfywpypp. Give prob of picking 1 y and 1 f.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 137, 296, 463, 632, 797, 952?\n\"Answer: -s**3 + 10*s**2 + 136*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 18, c: 2}. Give prob of sequence ocoo.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 17361?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + -1 - (20 + -5 - 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-2 + -2)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:32 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -27 + (8\/2 - 1). Let p be (6\/f)\/(1\/(-12)). Let v(r) = 4*r - 2. Give v(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12855, -11, -32, -4 in decreasing order.\nAnswer: -4, -11, -32, -12855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 2. Let l be d(2). Let v be (-3 + 1 + 2)\/(-1). Suppose 5*a = -10, -2*q - a + v = 6. Put -1, l, q in descending order.\nAnswer: l, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -22. What is the lowest common multiple of 15 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 40. Let q be (-21)\/(-21) + -2*1*11. Let z be t(q). Is 2 - 54656\/(-20) - z\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 179, 378, 641, 962, 1335, 1754, 2213?\n\"Answer: -v**3 + 41*v**2 + 13*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -3*g - 7*o + 14, 2*g - 4*o = 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5047.9828062 - 5060.9828. Let d = 13 + h. Round d to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 273\/(-6 + 13) - 2. Find the first derivative of w*v**3 - 8*v - 5*v**3 + 8*v - 2 wrt v.\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 51?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let j(g) = -16*g + 8. Let v(c) = -1. Let a(u) = 3*u + 23. Let m = 4 + -12. Let l be a(m). Let z(o) = l*j(o) - 8*v(o). Give b(z(x)).\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-12)*((-24)\/588)\/((-1)\/7)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -2) + (-71 - -54).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 34*v = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 2:03 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19207*s**4 - 626134*s wrt s.\nAnswer: -230484*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w + w + 10*w**4 + w**3 - 1 + 2*w**2 - 19*w**2 + 7*w**2 + 7*w**2 to the form y*w**3 + d + f*w**4 + a*w + i*w**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2*x - 57*i**2 + 12*i*x + i with respect to x.\nAnswer: 3*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53843 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**7\/14 - 13*g**6\/10 - 117*g**5\/20 - 23*g**4\/4 + 20*g**3 + 54*g**2 - 146*g. Find p, given that u(p) = 0.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17130191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14014 by 1274.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5175 + 5186. Let s = -11 + -26. Let u = -15 - s. What is the highest common factor of u and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24286 + -24227. Solve -r*v + 48*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11705706.9975 + 26.8\nAnswer: 11705733.7975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/12)\/((-16)\/24 - 0). Let v(j) = 0 + 3*j - 8*j + 3*j**2 - 6. Let y(a) = -a - 1. Determine d*v(f) + 6*y(f).\nAnswer: -3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x = -2. Suppose 2*t - 2*z + x = -0, 3*t = z + 7. What is the tens digit of ((-26)\/t)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 - (-73 - -69)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11)*c*c**2)**(4\/25) assuming c is positive.\nAnswer: c**(108\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in -2\/17427, -0.3, 3?\nAnswer: -2\/17427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -74891009732 and -0.2578.\nAnswer: -74891009732.2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27352 - -27352. Let p(g) be the third derivative of -5\/6*g**4 + 0 + 0*g + 1\/30*g**6 + l*g**3 - 24*g**2 + 4\/15*g**5. Factor p(f).\nAnswer: 4*f*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 19*z**3 + 4*z**2 - 56*z - 122. Calculate l(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + (-2 + 3 + 1)*(-3 - 1 + 5) - 4 + 4 - 1 + 31 - 37 + 38)*(-5*l + 5*l + 2*l)*(4*l + l**2 - 4*l).\nAnswer: 68*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 22244119?\nAnswer: -4\/22244119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z**3 - 6. Let o(l) = -l**3 + 15*l**2 - 50*l - 30. Let s be o(9). Let y(f) = 1. Give s*y(w) + i(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1000*u + 1033*u - 345*u + 47708 - 209756 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8667 - -8?\nAnswer: -8658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19351308?\nAnswer: 2, 3, 1612609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 3*s**3 - s**3)*((s + 7*s - 2*s)*(1 + 5 - 5) - 10*s - s + 2*s).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 0*o**3 - 4*o**3 - 405 + 387 - 7*o**3.\nAnswer: -8*o**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7127447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 5)*(0*l - 17 + 3 + l).\nAnswer: 4*l - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 7 = 3*h - 2*a, 11 = h - 3*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5*-1)\/((-2)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 12) + (1 - 0). Let o = -1 - f. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -6*(sqrt(84)*-1 - sqrt(84)))\/(sqrt(12) - -6*sqrt(12)*-2) + (-2*sqrt(315) + sqrt(35))\/(sqrt(50)\/(sqrt(10)*2) + sqrt(5)))**2.\nAnswer: 155407\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 135?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1596 - 1583. Solve v*s = 31*s + 54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*y + 2 = 0, 2*f + 2*y + 6 = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-13 + (12 + -2 - 3) - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 + 1150*i - 2291*i + 1141*i.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1023143.36 and -16.2?\nAnswer: 1023159.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1638082 + 1589775 = 469*s for s.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/4*-1)\/(2\/8). Let k = -1 + 3. Let z(q) = -k*q + 2*q + 3*q. Let f(d) = -5*d. Calculate t*z(m) - 4*f(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514440 is divided by 11217?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 84 = 5*h, -2*j - 4*h - 152 + 350 = 0. Calculate the remainder when 429 is divided by j.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1.289\nAnswer: 3.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -60. Let o be 5 - (-236 - (-1 + 2)). Let j = 253 - o. Calculate the remainder when g is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27071548?\nAnswer: 2, 7, 17, 56873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 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: Suppose 3*c - 2 - 13 = 4*p, -4*c + 20 = -3*p. Suppose 0 = c*l - 25, -2*l - 26 = -4*w. Suppose -13*s + w*s = -184. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (145\/(-45) + 3)*(361 + -359). Let v = 1 + -3. What is the closest to -1 in 2\/9, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2561 - 907 + 6*o - 3*o.\nAnswer: 3*o - 3468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 12, 27, 46?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whhgwhw. Give prob of sequence hwg.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -5*r - 67*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*v = -34, -2*q + 197 - 191 = -4*v for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 31198\/(-722))*(-4)\/8.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3053, 15748, 38079, 70046, 111649, 162888?\nAnswer: 223763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 8 = 134*v - 137*v, -4*v + 14 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*x - 64 = 3*c, -2*c + 59 = -3*x. Suppose 3 = 5*s - c. Let p(w) = 3*w + 40. Let j be p(0). What is the greatest common factor of s and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(189)\/sqrt(3))**2.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 3227, -27, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/3429420 and -89\/3660.\nAnswer: 3429420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*u + 8, 0*f - 5*u = 2*f + 20. Suppose -2*s - g - 4 = 0, f*g - 5*g - 20 = -5*s. Solve -5*m + s = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0088 and -0.2.\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h**3*p - 6*h**3 - 10*h - 22*p wrt h.\nAnswer: -102*h*p - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3140)\/(-471))\/((-20)\/(-75))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 - -9 - 4) + ((-1)\/(-1) - 10). Sort 0, s, -30, 4, -1.\nAnswer: -30, -1, 0, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70781 and 5117275.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1 - 10*i + 8 + 7*i + i**2. Let l(d) = -2*d**2 + 5*d - 13. Let j(a) = 6*l(a) + 11*w(a). What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 2*b**4 - b + (-1 + 4 - 4)*(2*b**4 - b**3 + b**3).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 127.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165 + 167. Let g(o) = -2*o**u - 18*o**3 - 4*o**2 + 17*o**3 - 4*o. Let i = -5 + 1. Calculate g(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 9:52 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 16*k**2 - 16*k + 23. Let m be i(-9). Let s = 5 - 9. Sort 3, m, s.\nAnswer: s, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 172?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000102 + 11?\nAnswer: -11000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)\/k**(-2)*k\/k**5*k**(-4\/3)*((k*k*k**(-1\/2)*k)\/(k**(-3\/2)\/k))\/(k\/(k*k**(1\/8))*k**0\/k) assuming k is positive.\nAnswer: k**(43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:53 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -146. Calculate the remainder when z is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 f when four letters picked without replacement from {y: 1, f: 4, k: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*5\/5 - 1248. Let n = u + 1755. List the prime factors of n.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1336422 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -2 (c) -2\/5 (d) 1\/2 (e) -4 (f) 10\/37 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.7 + -8. Let u = -5.2 + 6. Let k = t + u. Which is the smallest value? (a) 0.2 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = -5, -3*d + 19970 = 5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.5878 and -1.317.\nAnswer: 27.1141326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*t - 24, -3*q + 20 = -4*t + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:40 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 65*n**2 - 27*n + 65. Let c be k(-33). Is -132 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 25*x + 20. Let c(m) = -9*m - 7. Let i(y) = 11*c(y) + 4*g(y). Let o be i(4). Is 8 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -67.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24*x**2 + 7*x - 57. Let l(q) = -3*q**2 - 28 + 3*q + 4*q**2 + 11*q**2. Let w(n) = -3*d(n) + 7*l(n). Find the first derivative of w(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**2 + 20137822*x - 360506117 wrt x?\nAnswer: -4*x + 20137822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/136*-1 + (-62)\/(-238). Which is the closest to 1\/3? (a) -1\/4 (b) 4 (c) 2\/7 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3687772075?\nAnswer: 5, 13, 11346991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 5) in base 7?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51629 (base 13) to base 6.\nAnswer: -3044055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = t - 5*r, 4*r + 2 = 5*t. Let y(o) = -24*o**3 + 9*o**2 + o + 2. Let a be y(t). Let g = 229 + a. What is the remainder when g is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 58. Calculate d(-32).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i**2 - 174*i**2 - 4*i**3 - 474*i**2 - 7380*i + 164*i**2 - 31752 = 0 for i.\nAnswer: -98, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**2 + 0*f**2 + 3*f**2 in the form q*f + n*f**2 + u and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1175 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2926, -6459, -10578, -15277, -20550, -26391?\nAnswer: -32794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6085, 4386, 1553, -2414, -7515, -13750, -21119?\n\"Answer: -567*j**2 + 2*j + 6650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**3 - 5*n**2 + 10*n - 18. Calculate a(4).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from drdrdrkddrrrdrkd.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11122073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 1 t when three letters picked without replacement from xxdtdttbbddtbx?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3*g - 1 + 1)*(7*g**3 - 5*g + 5*g + (2*g - 5*g + g)*(-2*g + 2*g - g**2) + (0*g**2 + 3*g**2 + 0*g**2)*(-g + g + g) - 3*g**3 - 4*g**3 - g**3).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/7 + (-750)\/(-210). Suppose -r - 4*r - 12 = -3*i, -2*r + c = i. Determine b, given that 2\/3*b**2 + r + 0*b + 1\/3*b**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 351 + 66 + 396)*(-1 + 1 - 2*o).\nAnswer: -4*o**2 - 1626*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*d + 133*d - 3*f - 7630 = 0, -2*d + 4*f + 3810 = 0. Calculate the highest common divisor of 138 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roiowr. Give prob of sequence ri.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9666886 - -9666807.99918. Let m = 0.49 + -78.49. Let d = m - t. Round d to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/((-18)\/(-63)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*p + 1 + 71*p - 1 - 84*p as g + i*p and give i.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -18 - 48. Suppose 3*x - p = 2*z, x - 3*z - 45 = -3*x. Suppose -5*d + 17 = -3*v, v + x = -d + 6*d. Let j(i) = i**3 + 6*i**2 + 7*i + 5. Give j(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.9 - -38.9. Let g = 0.219 - -8.681. Let t = k - g. Which is smaller: t or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 7. Let m(a) = -a**2 - 3. Let z(g) = 7*m(g) - 3*r(g). Let k(v) = 18*v. Let u(d) = d. Let l(f) = -3*k(f) + 12*u(f). Determine l(z(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/120 - 5*s**5\/12 + 47*s**4\/24 - 5*s**3\/2 + 1678*s**2. Determine t(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 3 + 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 316, 564, 910, 1354, 1896?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275629 + -668053.\nAnswer: -943682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {x: 4, o: 4, t: 6, j: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10575 divided by -9\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 56 and 163547\/2924 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46 + 46 - r + 5 - 5 - r + 2*r + 2*r - 3*r + (-3*r + r + 4*r)*(-2 + 1 - 1).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 6339?\nAnswer: -2535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. Let q = -3 + 3. Suppose h*k + 3*k - 33 = q. Solve 3*l = z - k + 1, 4*z - l - 18 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-5\/4))\/(r*((r\/((((r\/r**(-6)*r)\/r)\/r*r*r)\/r))\/r)\/r*r))**(-31) assuming r is positive.\nAnswer: r**(-713\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, d: 2, m: 1, a: 3}. Give prob of sequence qqd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 37 = 5*k + f, 0 = -k + f + 2. Suppose -32 = -k*q - s - 3, -q - 5*s = -1. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkccsskt. Give prob of sequence pk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*j - 19274 = 31*j - 2*w, 2*w + 2*w - 154 = -2*j for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001950984336 rounded to seven decimal places?\nAnswer: 0.001951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33322002?\nAnswer: 2, 3, 7, 461, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 2356*a**2 - 211196*a + 208844.\nAnswer: -4*(a - 479)*(a - 109)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1824926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(2695))\/((sqrt(60)*1)\/sqrt(12)).\nAnswer: -14*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4721 is divided by 297.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 - 2*i - 34 + 16*i + (0*i - i - i)*(2 + 2 - 3).\nAnswer: 12*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + (sqrt(153) - -1*sqrt(153)) + sqrt(153)) + 2 - (sqrt(153)*3 + 0 - sqrt(153) - sqrt(153)*1*-3))**2*1.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331216909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 592 = -4*d, -d - d - 786 = -4*u. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*i = 162 + 208, 0 = f + 2*i - 68. Let r = -1390 + 1406. What is the least common multiple of r and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31205, -62406, -93607, -124808, -156009?\n\"Answer: -31201*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 3614*p**2\/5 - 349606*p + 51039930.\nAnswer: -2*(p - 1137)*(p - 335)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*d*l**4 + 49*d*l + d + 1 wrt l.\nAnswer: -4704*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5 (base 15) to base 13.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s + 2. Let r be u(5). Suppose b = -a - 2*b - 17, 0 = -4*a + 2*b + r. Is 21 a factor of 6\/3*(-21)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -767 - -833. Calculate the highest common factor of g and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*z = -78*z - 59*z - 598 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -76\/3 (b) -0.2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -54525312 (base 8) in base 7?\nAnswer: -201345256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2) + 4 + (-3 - 1). What are the prime factors of 1\/2*724 - t?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12130028 divided by -382\nAnswer: -31754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - -0.09. Which is the third biggest value? (a) 18 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -31. Suppose -4*c + 5*a = -o - 20, -c - 5*a = -6. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ezsczc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1) - (-1 + 0). Suppose 3*z + 4 = -a + z, 4*z = 2*a - 24. Solve -3*k + a*u - 6 = 0, -u + 10 = -2*k - h*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1307400?\nAnswer: 1307403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/4)\/(87\/(-232)). Solve -t*v + v + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/7 - 36084*i\/7 - 36087\/7 = 0.\nAnswer: -1, 12029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5422*l + 5420*l - 3 = 5*s, 3 = s + 4*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 3040\/170 + 2\/17?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 2*k - 6. Let r(p) = -p + 37. Let l be r(13). Suppose 6*o = -0*o - l. Give c(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:00 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - 2*i + 2*i + (2*i + 3 - 3)*(-2*i - 3*i + 6*i) + 14*i**2 + 24*i**2 + 13*i**2)*(-56 - 3*i + 56) to c + d*i + a*i**3 + z*i**2 and give a.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 24. Let y = m - 45. Let i = -18 - y. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/3*u**4 + 32\/3 - 48*u**2 + 37\/3*u**3 + 68\/3*u = 0. What is u?\nAnswer: -8, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*h = 138*h + 2359800. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 less than 3666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose 0 = 4*z - 0*k + 2*k - 12, 2*k = -4. Suppose 4*q + 12 = -z*r - 0*r, 5*q = 2*r - 15. Solve r = -4*t - 4*m - 24, 4 = -v*t - 3*m - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w + 3*d = -2, -3*w - 2*d = -8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -331257*v**2. Let b(i) = -i. Calculate b(a(f)).\nAnswer: 331257*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 25\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -814218 minus -0.9?\nAnswer: -814217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from nnnnnngnnnjnjn?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 61472835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300740 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20161 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 37 - 855\/(-21))\/(12\/28)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47305 - -47306. Let s = 0.2 - 0.4. What is the nearest to t in -3, -5, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -314551?\nAnswer: -314553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.71 and 0.17.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 + 415*b**2 + 194*b + 8003. What is v(-138)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*q**2 + 125*q**2 - 30*q**2 - 34*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 10 = 4*a, 0 = -3*a - 4*d - 6 + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Suppose -j*f - 159 = -1421. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-1*5 + 5)*-6)**2 - ((sqrt(95) - sqrt(95)*-3*2)\/(sqrt(40)\/sqrt(128)))**2.\nAnswer: -7200*sqrt(19) + 259604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 23 = 26. Suppose r + 0 = -3*q. Let x(v) = 41*v**2 - 2*v - 2. Calculate the remainder when x(q) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(-1 + 0) - -1. Let y = c - -15. Calculate the remainder when -7*1*6\/(-3) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 83 - 27 = 0. Suppose -z + 80 = 3*l. What is the second derivative of -66*n**4 + l*n**4 - 10*n + 0*n + 25*n**4 wrt n?\nAnswer: -228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/20 + (0\/5)\/5 and (0 - -1)*(-73)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/198421372 and -63\/4.\nAnswer: 198421372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5983271603.\nAnswer: 271, 22078493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2199 and 58200933.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -9 (c) -237 (d) -2\/5 (e) 0.3 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*i - c, 0 = 34447*i - 34445*i - 2*c + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -280145548, -280145544, -280145538, -280145530, -280145520, -280145508, -280145494?\n\"Answer: c**2 + c - 280145550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662949 is divided by 4506.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - q + 0 = -4 + 10, -2*t + 30 = -5*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 2*b + 993. List the prime factors of m(0).\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/5))**7*(i*i*i**12)\/(i\/i**16) assuming i is positive.\nAnswer: i**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2, 0.3, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/24 - 8*f**5\/3 - 475*f**4\/8 - 495*f**3 + 25*f**2 + 19*f + 2. Factor u(g).\nAnswer: -5*(g + 3)*(g + 11)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3240 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*l + 2194 = 559 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*k - 7*k + 63, 2*k - 76 = -4*w. Calculate the remainder when 219 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Suppose -3 = -4*y + 5. Let z = y + w. Are 0.1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0, -34928\/7, 3\/2 in increasing order.\nAnswer: -34928\/7, -0.05, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 75, 142, 225, 318?\n\"Answer: -b**3 + 17*b**2 + b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -y + 180. Solve y*h = -3 - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2922, -2926, -2930, -2934, -2938, -2942?\n\"Answer: -4*i - 2918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/663 and -115\/182.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43022792 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6336 a factor of 3414652722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o - 3*z, o + 2 = -0*o - 5*z. Is o smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -16, -4, 2\/5, 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 1941*x + 9725. Calculate g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 0 (c) 37 (d) -5 (e) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + 0*q)*(-13 - 3*q + 13) + (0*q + q - 2*q)*(3 - 2*q - 3).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**4*y*z + 5*n**3*y*z**3 - n**3*y + n**2*y*z**3 - 9*n**2 + 3*n*z**3 wrt n?\nAnswer: -72*n*y*z + 30*y*z**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35233\/8 - -4394. Find the common denominator of 36\/19 and m.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12802 + -12546. Solve 160*h + y = 192*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/147 and -103\/4368.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 31742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 2. Let g be j(0). Sort g, 22, 0, -5 in decreasing order.\nAnswer: 22, g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {g: 3, o: 1, f: 5, t: 1, c: 4, q: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -13416?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab - -9072?\nAnswer: 9161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187771916 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79\/120 - -1\/120. Let h = 54277\/6 - 9046. Which is the biggest value? (a) -4 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 112 - 514 + 308 - 586.\nAnswer: -2*t - 904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3+119505638\nAnswer: 119505635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -118722, -118719, -118706, -118677, -118626, -118547, -118434?\n\"Answer: l**3 - l**2 - l - 118721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 3*t**7\/2 + t**6\/15 + 227*t**3\/6 + 249*t. What is the second derivative of b(u) wrt u?\nAnswer: 1260*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 1 - 6*r + 3*r. Let y(a) be the second derivative of -a**3\/6 + 114282*a. Suppose s - 5*x + 1 = -0*s, -4*s + 3*x - 21 = 0. Give s*y(c) + d(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -162. Calculate the remainder when 2\/6 + 110\/3 is divided by 1\/4 - (3 - 63\/a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -23*c**2 - 2*c - 1043. Let n(s) = 2*s. Give n(w(h)).\nAnswer: -92*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.164847.\nAnswer: 1.835153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 8. Let w be r(6). Let o(c) = c**3 + 6*c**2 + 2*c + 1. Is o(w) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.739 + 0.639. What is the closest to n in -2, -2\/9, -104?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtsvsssxxssss. Give prob of sequence mm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.78377 and 138?\nAnswer: 108.16026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + 201. Let d = -269 + x. Solve 22 = -3*k - 5*a, 0 = 5*k - d*a + 4*a + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 199039122?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 1. Let t(f) = f. Let g(d) = 4*q(d) + 5*t(d). Let u be g(9). Let n = u - 11. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -950122 and 4.\nAnswer: -950118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5\/2 - 11*q**4\/2 + 25*q**3\/2 - 13*q**2\/2 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 13) to base 9.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 730, 1428, 2126, 2824, 3522, 4220?\n\"Answer: 698*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 260 = 23*g - 6*g. Suppose 5*a + 4 = -5*n - 1, -5*n + 1 = 3*a. Solve 9 = -g*u + n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280747600 to the nearest one hundred thousand.\nAnswer: 280700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9 - 14*a + 2*a + 9*a + 10*a. Let x be (((-20)\/8)\/(-1))\/(1\/2). What are the prime factors of v(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*y - 623*y - 610*y - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 10813?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - -2*sqrt(84)*-2)\/(2*sqrt(48)) + -3 + ((sqrt(7) + 1)*-1 - (sqrt(28) + -1*sqrt(28))\/sqrt(4)).\nAnswer: -7*sqrt(7)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 888130\/11 + -80738. Factor -1\/11*z**5 - l*z**3 + 0*z + 6\/11*z**4 + 8\/11*z**2 + 0.\nAnswer: -z**2*(z - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 81. Let c = 167 - 137. Factor -j*r - 10 - 9 + 82*r - c*r**2 - 6.\nAnswer: -5*(r - 1)*(6*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/154*511\/(-730).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038 = 19*i - 3731. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 - 1 = 3*c, -c - 5*r + 23 = 0. Suppose c*v + 1329 = 5076. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1036681*o**2 - 639*o + 3170. Let f be d(5). What is f rounded to the nearest 100000?\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 44846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 17*z**2 - 59*z + 9. Calculate p(11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -1106, -3728, -8836, -17258, -29822, -47356?\n\"Answer: -138*r**3 - r**2 + 5*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1632)\/(-5304) - (-79)\/(-130).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 128184192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 + 10 = 5*n - 3*a, -5*a = 13*n + 178 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 330 (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/48*4 + 2\/(-12). Let l be (0 - 3) + t + (-8339990)\/(-2). Round l to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvhuyyrrvvruvrvruh. What is prob of sequence yvu?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 1. Let z be w(-1). Find the third derivative of -3*f**3 + 0*f**2 + 2*f**2 + 5*f**3 + f**z wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 1. Let j(h) be the first derivative of h**4\/4 - 4*h**3\/3 - 3*h**2\/2 - 2*h - 1. List the prime factors of j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*j + 5*s + 30 = 0, -2*s = 4*j + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*6\/(-24))\/(1\/6). Solve y - u = -o, 0*o + 6 = 5*y - 4*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -326 - -325.99999466. What is x rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-70) - 37\/(-10). Find the third derivative of 10*n**j + 91*n**2 + 21*n**3 - 10*n**4 + 3*n**3 - 3*n**5 wrt n.\nAnswer: -180*n**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -28. Suppose r = 3*t - 66. Suppose -5*i + 80 = 2*q - q, 2*i - q - t = 0. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -1 + sqrt(100)\/sqrt(2).\nAnswer: -1 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 1, -2\/21, -829134\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249136439 to the power of 1\/2, to the nearest integer?\nAnswer: 15784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuujguujjjuuuujjg?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/51, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 8, t: 6}. Give prob of sequence mf.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022788 divided by -251899?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 + h**2 - h. Let x(d) = 3*d**3 - 6*d**2 + 3*d + 7. Give -b(z) - x(z).\nAnswer: z**3 + 5*z**2 - 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 12564089498?\nAnswer: -12564089486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75\/8 of a century?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -56 + 20 + 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -46*q**2 - 5*q - 3. Let v(x) = -45*x**2 - 6*x - 4. Give -5*i(b) + 4*v(b).\nAnswer: 50*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 12*m + 70. Suppose -m*z - 1410 = -17*z. List the prime factors of z.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 11*i**2 + 96*i - 214. Give l(16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 65*t - 1. Suppose 3*u = 5*d - 2 + 162, 2*d - 68 = -u. Suppose u*a + 4 = 64*a. What are the prime factors of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h**3 + 3*h**2 + 10*h + 16. Let a(i) = i**2 + 2*i + 1. Determine -5*a(m) + g(m).\nAnswer: -17*m**3 - 2*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2965 + 0*f**2 + 2*f**3 - 4*f**2 + 3*f**2 + 4*f**2 + 3069 in the form o*f + u*f**3 + p + m*f**2 and give p.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 3*q + 2. Is 2 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7685.\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3436\/6872)\/(((-6)\/(-4))\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13411 - -49889. Suppose 0 = 3*j - 3 - 6. Suppose -3*i - v = -j*h, i + 6*h + 21100 = 2*h. What is i rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/(-12) + 2 + (-73)\/(-324). Let y = 17\/81 + x. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 750003 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24742126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3638 at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 - 18 = 37*u + 11*u. Put -5, u, -1\/3, 0.18 in decreasing order.\nAnswer: u, 0.18, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1953)\/558*-6*3. Solve 42*l = 105 + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {u: 1, y: 2, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 a when four letters picked without replacement from aakxkkaokoaaaa.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m = -45*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244*q**3 + 82*q**3 + 65*q**3 + 31*q**2 wrt q?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.21 + 108.79. Let x = i - 112.1. Sort 3, 3\/2, x, 1 in descending order.\nAnswer: 3, 3\/2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**3 + 3*b**3 - 9*b**3 + 4*b + (b - b - 2*b**2)*(4*b + b - 4*b) - 31*b**3 - 18*b**3 + 8*b**3.\nAnswer: -40*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -638*d + 2620. Calculate the remainder when 791 is divided by m(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgagyd. Give prob of sequence dag.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0292 * 234.69.\nAnswer: 6.852948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 78362 and -84.448954.\nAnswer: 78277.551046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -23474a2?\nAnswer: 23474a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565981 is divided by 28299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1467*p - 10587336 = 1175*p. Is 63 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 2907, 6645, 12033, 19161, 28119?\nAnswer: 38997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 27.1. Suppose -g + 12 = -5*g. Put x, 0, g in decreasing order.\nAnswer: 0, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.5. Let z = -481 - -476. Which is the third biggest value? (a) 0.1 (b) z (c) 4\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(325) + (sqrt(832) + (sqrt(832) + 1 - sqrt(832)))**2.\nAnswer: 26*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/(-63))\/((10\/(-15))\/1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561809?\nAnswer: 561809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 15*c + 8. Is o(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*t**2 - t**2 + t**2 + 862*t**3 - 865*t**3.\nAnswer: -3*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5777 is divided by 4638?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 2}. What is prob of picking 2 s and 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + q + 2. Let w be -3*(-4 - (1 + -2)). Let v(z) = z**2 - 11*z + 12. Let d be v(w). Let g be 48\/(-22) - d\/33. Determine s(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31526704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16971, 63947, 140925, 247905, 384887?\n\"Answer: 15001*v**2 + 1973*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, -15, -65, -135, -225, -335, -465?\n\"Answer: -10*d**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*52*2\/8. Suppose y = -17*a + 6. Sort a, 1, -1 in decreasing order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, 138, 4 in descending order.\nAnswer: 138, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, b: 2, g: 6, f: 1}. Give prob of picking 1 f, 1 g, and 1 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 864383 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 949 (base 10) to base 5\nAnswer: 12244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/91)\/(16\/(-72)*-9)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -610 + 616. Suppose 7*c - 2*c = 4*q + 8, c = 3*q + v. Solve 10*p - 7*p + 9 = c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let w = -2 + l. Let m = 13.3 - 13. Which is the second smallest value? (a) m (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, t: 1, l: 1, h: 1}. Give prob of sequence sl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -50, -1 in ascending order.\nAnswer: -50, -1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5421 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7502367*k**2 - 6*k + 645849 wrt k?\nAnswer: -15004734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-89 + 116 + -12).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12231, 18669, 25105, 31539?\nAnswer: 37971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - 20\/12. Let q(o) = o**3 - 10*o**2 + 6*o + 21. Let n be q(9). Let j be 1 - 3\/(n\/4). Put -0.5, u, j in increasing order.\nAnswer: u, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -19*u - 41*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-12) + 2\/(-3). Suppose -2*o - 3*g - x*g - 36 = 0, 4*o = -g - 36. Let f be 45\/4 - (-2)\/o. Solve -4*a + 5 + f = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -e092f?\nAnswer: e0923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9798, -19603, -29408, -39213?\nAnswer: -49018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 5:54 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 533677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15416737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516787 divided by 47.\nAnswer: -516787\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 539576.1+59337\nAnswer: 598913.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3 + 14 + 2 + 3*a + 8. Let l be d(-7). Sort 0.2, l, 2, -2.\nAnswer: -2, l, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773715807 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 525031606, 525031608, 525031612, 525031618, 525031626, 525031636, 525031648?\n\"Answer: g**2 - g + 525031606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -347*z + 170. Let q(y) = -71*y. Determine q(p(i)).\nAnswer: 24637*i - 12070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*u + 916*u + 12*s = -268, 4*s = 4*u + s - 77 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 697717987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 86406, 85394, 84382, 83370?\n\"Answer: -1012*z + 87418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) 0.05 (c) -4 (d) 0 (e) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -93\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-289376)\/40*((-3219)\/406 - 9\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 16902?\nAnswer: 2\/8451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -39 + (19 - 12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13864 is divided by 245.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*p - 53 + 9 = 0, -252 = -4*c + 5*c - 4*p - 277 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(1 - 1 - 2). Let c(g) = 0*g**2 - 2*g**2 + 3*g**j + 0*g**2 + 4 - 6*g. What is c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -99277f8?\nAnswer: 99277fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -4, 2, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 7 + 32*z**2 - 15*z**2 + 3*z**2 + 0*z - 9*z**3 to the form n*z**2 + p*z + m*z**3 + h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**6\/10 - d**3\/6 + d - 2. Let l(b) be the first derivative of i(b). Find the second derivative of l(y) wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8711, -3, -3\/2 in ascending order.\nAnswer: -8711, -3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741761577?\nAnswer: 3, 19, 1445929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5 + 492*t**4 - 12936*t**3 + 73014*t**2 + 317067*t + 230622 = 0.\nAnswer: -2, -1, 17, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*l + (-1 + 3 - 3)*(-8*l + 0*l - l) as q*l + k and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x**3 - 92*x**3 + 50*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*c - 128, -2*c = 3*w - c - 96. Let o be (-7 - (-290)\/40)*64. Calculate the highest common factor of w and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10*r + 197570 = 2*s, -4*s = -5*r - 395062. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 19*w - 23. Suppose 1 - 19 = -9*d. Suppose -3*j + 7*o = 9*o + 44, -d*o + 46 = -2*j. Let m be k(j). Is m <= -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4082174 is divided by 680358.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*u, -g + 0*u - 1 = -5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 609, 921, 1235, 1551?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:43 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(500))*-4 + -3.\nAnswer: -240*sqrt(5) - 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/14258185 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/7*8\/(((-78)\/7)\/(-13))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u + 3*u = 0. Let p(q) = 10*q - 33. Let y be p(4). Let v be 5\/(5\/(-4))*y\/(-14). Solve v*k - 2 = -u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 5*a**2 - 2*a**2 + (-3 + 2*a**2 + 3)*(-3 + 4 + 0) + 2*a**2 + 2*a**2 - 2*a**2 - 48*a**2 - 8*a**2 - 8*a**2 to c*a + s*a**2 + z and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 645 + 4?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 7, v: 5, y: 4}. What is prob of sequence vv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(21\/(-693))*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 = -o, -5*g + 2*g - 4*o + 24 = 0. Is 191*(-4 - (g - 9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-3)\/((-57)\/(-19)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufu when three letters picked without replacement from fffuuuffufffff?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 411608839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (14 - (17 - -1)) + -6\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 780123.4 micrograms?\nAnswer: 780.1234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121.72 in 1, 0.5, -3\/4, -10.2, -2\/11?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121284663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*d + 449 + 229 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/57899826 and 89\/19299942?\nAnswer: 57899826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 22*a + 6. Suppose 2*u + 2*v + 54 = 0, 4*v + 64 = -3*u - 22. Let g be i(u). Let z(o) = -o + 2. What is z(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - 89217\/44712 - (0 + -43)?\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 12*s - 6. Determine v(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 3*f)*(-3*f**3 - 6*f**3 + 6*f**3).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b**3 + 0*b**3)*(-2 + 2 + b + 4*b - 3*b - 3*b + (-3 + 1 + 0)*(3*b - 2*b - 2*b) - 4 + b + 4 + 2*b + 0*b - 6*b).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*f - 317*f + 629*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 50 - 26 + 18*x**2 - 2*x**3 + 36*x = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 18\/4356*22 + 3034\/22?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 2*y**3 + 0*y**3)*(2 - 9 + 12)*(27*y - 13*y + 3*y) - 2*y**4 + 7*y**4 + 0*y**4.\nAnswer: -165*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 202, 310?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abj when three letters picked without replacement from axjjb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43453?\nAnswer: 19, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -127388, -254774, -382160, -509546, -636932, -764318?\n\"Answer: -127386*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210836 by 768.\nAnswer: 52709\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1771731 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.62938.\nAnswer: -0.72938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/55)\/i*i\/i**(-5\/9) assuming i is positive.\nAnswer: i**(293\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -59*f. Let n(z) = -528726*z**2. What is m(n(t))?\nAnswer: 31194834*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 + -124. Suppose 2*b - 3*k - s = 0, -220 = -4*b - 5*k - 45. What is b rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*a + 15, -3*v = a - 4*a - 9. Suppose 2*g = -3*r + 17, v*g + 2*g = -4*r + 20. Solve r*z - 7*z = -5*w, 3*z - w = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from lilblcccqbqfb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/8 + m**2. What is the units digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 9:53 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/5 - 228*s**2\/5 - 444*s\/5 - 44.\nAnswer: -4*(s + 1)**2*(s + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691 - 587 = -8*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 711*g**3 + 42462*g**2 + 37524*g - 250632.\nAnswer: 3*(g - 2)*(g + 3)*(g + 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + s - 1 - 3*s + 5 as r*s + l and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1187 by -6.\nAnswer: -1187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r - 1. Let q(z) = 7*z - 1. Let p(x) = x + 2. Let m be p(-7). Determine m*q(b) + 6*k(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2359\/2*l**3 - 641*l**2 + 931\/2*l**4 + 12 + 34*l = 0.\nAnswer: -3, -2\/19, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -133, -136, -139, -142?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -4 - 1\/(-3). Let i = 0.2 - 0. Is i >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*375\/(-100)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((((sqrt(95) - 2*sqrt(95))*5 - sqrt(95)) + sqrt(95) + (sqrt(95)*1 + sqrt(95))*-3)\/(sqrt(180)*-4*6))**2.\nAnswer: -101381\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*y**3 - 133*y**2 wrt y.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196349 is divided by 275.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16381802939298\/211 - -579701274418725006\/7466657. Let z = b - -212437. Let v = -3007841\/1910898 + z. What is the common denominator of v and 89\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 6. Let o be c(-6). Suppose -q + k + 11 = o, k + 10 = 2*q + 2*k. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1172, -1170, -1168, -1166, -1164, -1162?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*n + 411. List the prime factors of n.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/7 + 10*f\/7 - 8 = 0?\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.00016 + -10. Let p = a - 0. Round p to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - m**2 - 21. Let g be c(0). Let i be (-3)\/12 + g\/(-4). Suppose i*d - 6 = 4*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*m**3 - 113*m**3 + 214*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**4 - 86*w**4 + 18*w**4 + (w**4 - 3*w**4 + 0*w**4)*(-2 - 1 + 4) + (1 + 1 + 3)*(2*w**4 + 2*w**4 - 3*w**4).\nAnswer: -74*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -252507978 bigger than -252507980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -760 + -1271?\nAnswer: -1a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**3\/6 - k**2\/2 - 3*k. Let y be d(7). Solve -g + 5 = -5*u, y = -3*g - 3*u + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2 = 6*w, -5*w = 3*p + 2 - 5 + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756022153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.6 + -13.4. Which is the third smallest value? (a) 0.3 (b) u (c) -0.6 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167770 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/33)\/((-2)\/(-45)). Let h be 3\/(9*(-2)\/n). Suppose 5*g + h = 0, 0 = m - 0*g + 2*g - 50. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s. Calculate the lowest common multiple of a(10) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/411081 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (15 - (-1 + 22)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/3 - 4 - -16*308\/(-448)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2566, -4012, -5456, -6898, -8338, -9776, -11212?\nAnswer: -12646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.85 + 15.7. Let v = w + -0.55. What is v rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f**5 + 27*f**4 + 39*f**3 + 15*f**2 - 9*f - 6 = 0. What is f?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 814 (base 14) to base 11\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7817452*z**2 + 44774586*z?\nAnswer: -15634904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-836 - -861) + (-1 - -2 - 6 - (-56 + 54))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + 3\/(-9))*(-55374)\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*x**2 + 118*x**2 - 34*x**2 + 171*x**2.\nAnswer: 390*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 39 = 2*w - x, 3*w = -4*x + 86. 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 -0.000318401 rounded to six decimal places?\nAnswer: -0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = 3*k - 10*w, -4*k - 16 = 4*w. Let m be 3\/k*4\/(-51). Put m, -48, 3\/2 in descending order.\nAnswer: 3\/2, m, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/11)*q*q**(8\/11)\/q*(q*(q\/(q*q**2))\/q)**(-2\/31) assuming q is positive.\nAnswer: q**(447\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 417*j**2 + 168*j - 49. Let h be v(-4). Round h to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-d**3 + 0*d**3 - 16*d**3) + 2*d**3 + 4*d**3 - 2*d**3 in the form b + j*d**2 + k*d + a*d**3 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(1\/4)*v)\/v)**(-24)\/(v**(-3\/11)*v**(-2\/15))*((v\/v**(2\/3))\/v*v**6*v)**(3\/20) assuming v is positive.\nAnswer: v**(-3781\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**8\/168 - p**4\/4 + 9*p**2\/2 - 12. Let j(l) be the second derivative of v(l). Find the second derivative of j(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554 = 23*k - 646 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 166*y - 16213. Give f(-235).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i**2 - 3*i - 4. Suppose 0 = -4*s - 4*l + 76, 2*s + 23 = 3*s - 3*l. Let x = 61 - s. What is the remainder when x is divided by k(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -71*v**4 + 41*v**3 - 22*v + 72. Let j(f) = f**4 + 10*f**3 - f - 1. Let x(i) = 5*j(i) - t(i). What is the second derivative of x(m) wrt m?\nAnswer: 912*m**2 + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:19 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125.4619 + -0.0381. Let i = -126 - n. Which is the fourth smallest value? (a) i (b) -6 (c) -1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*210\/(-375)*90\/(-9)*(-3)\/(-18)\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/16 and -45\/508.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -1 - (-75 + 66)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57083.97 years in centuries?\nAnswer: 570.8397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-2002)\/234)*8\/(-6).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 - 7) - (-8 + (-2 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 89\/30*k**5 + 2*k**2 + 0*k**3 + 0 + 0*k + 0*k**4 - 109\/60*k**6. What is the third derivative of b(r) wrt r?\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3151\/6 - 503. Calculate the common denominator of g and -22\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 7533\/135)*(1 + (-18)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0115 (b) 3 (c) 0.17 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 = 0, 0 = -3*o + 3*n - 0*n + 204. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 not equal to -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/31624370 and 47\/8010?\nAnswer: 284619330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 15\/3)\/((-9)\/72). Solve 10*b = 6*b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + p = 9*g + 7, -20 = -4*g - 4*p. Let o be (-16)\/(-130) - 2\/13. Is o bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/2*(-4)\/(-6) - (-843 - -842).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20122 + -12?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2)**50\/((j*(j*(j**(-9\/5)*j)\/j*j)\/j)\/j**(1\/7)) assuming j is positive.\nAnswer: j**(5248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*b + 210*b - 37*b + 2*b**3 to the form u + m*b**2 + a*b**3 + z*b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:59 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -934, -916, -876, -808, -706, -564?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 10 + 4. Suppose 23 - 7 = r*j. Calculate the greatest common factor of j and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 4665106*s - 5440803497809.\nAnswer: -(s - 2332553)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -45341325 divided by -45?\nAnswer: 1007585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 7:16 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201979 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 724 and 4796500.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*l - 3*j, -2*j + 7 = 4*l - 9. Suppose 3*f + 0 = 12. Calculate the remainder when (-4)\/l - (-32)\/3 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91 - 3?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 6*s**5 - 2*s**5 + (4*s**3 + 3*s**3 - 2*s**3)*(-2*s**2 + s**2 + 0*s**2) + 219 - 219 - s**5.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 3*h**2 + h + 13. Let u(m) = -m. Calculate -q(j) - 4*u(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 greater than 3881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 4. Suppose 0 - 28 = -4*x. Let s be y(x). Suppose v = 2*z - 46, s*z + 29 = -v + 103. Calculate the greatest common factor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 18*z - 2. What is the remainder when q(-7) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*l + 195144 - 47728 = 0, -6*g - 2*l = -176896. What is g rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -33. Suppose 4*c - 30 = 2*w, w + 18 = -w + c. Let b = 11 + w. What is the remainder when k is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075083041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 12*r + 16. What is the remainder when 31 is divided by o(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05683 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2045 - 5?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174140 and 55?\nAnswer: 1915540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/4 - 4*p**3 + 110*p**2 + 2992. Let a(q) = 0. What is q?\nAnswer: -22, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:33 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746.\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151\/5 - 30. Let u = -0.1 + -0.01. Let r = 0.01 + u. What is the closest to r in 0.3, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26080.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuhhghhuhhhahuhphh. What is prob of picking 1 p and 1 a?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 791 - 790.97. Let h be 2\/18*(2 + -1). Which is the closest to -1\/3? (a) h (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528173219?\nAnswer: 3, 59, 8633747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79347793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -7, 3, -43, -1, 118 in ascending order.\nAnswer: -43, -7, -6, -1, 3, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 2*m**4 - m**4 + (0*m**2 + 5*m**2 - 3*m**2)*(-3 - m**2 + 3) + (4 + 2 - 1)*(-2*m**4 - 4*m**4 + 5*m**4).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2652 and -59\/2?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 27682110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - m**2 + m**2. Let y(r) = 3*r - 2. Let a(z) = 10*z - 7. Let q(w) = 6*a(w) - 21*y(w). Give q(t(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 119386680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 808035 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98657 is divided by 31504?\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 0. Let x = -212\/3 + 70. Let y be (1 + -3)*2\/(-14). Which is the nearest to 1\/3? (a) g (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1745 (base 9) to base 16\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -13. Suppose 0*c = y*c - 25, -3*r + 29 = 4*c. Solve -f + 1 = -r*l + 2, 4 = 2*l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) -37 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1041*x**2 - 14*x - 7. What is the units digit of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + 7*k - 5. Let q be a(4). Let i be q\/4 - (-6)\/6. Let m = -0.3 - -0.3. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 m when three letters picked without replacement from ffmjmem?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1932.23 from -6114.2.\nAnswer: -8046.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -4)*168\/20. Let r be 214\/14 - (-12)\/l. Calculate the highest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 - 10000010111010010?\nAnswer: -10000010111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 36 = -4*h, x = 2*h + 4*x - 2. Let v(j) = -4*j + 6. Let y(d) = 5*d - 7. What is h*y(m) - 6*v(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 q when four letters picked without replacement from dddqqqqqqqqdqqdqddq?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*n**3*q*w + 7*n**3*w + 73*n**2*q*w + 275*n*q + n*w + 6*q*w + 2*q wrt n.\nAnswer: 54*n*q*w + 42*n*w + 146*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m - 14. Let z(i) = i**2 - 2*i - 6. Let x be z(3). Let t be b(x). What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-8 - (2 + (3 - 9)))) + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/29 + 3427\/87. Let b = 40 - k. Sort b, -0.4, 1 in decreasing order.\nAnswer: 1, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 + 134*u**2 + 8*u + 652. Let o be q(34). Which is smaller: o or -1375?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzuaapc. What is prob of picking 1 c, 1 a, 1 u, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:13 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.159 + 1.225. Let s = h + -0.006. Round s to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 23*f - 13. Let u be v(-11). What is the fourth biggest value in 5\/3, u, 1\/2, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 985 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/13 or -138.76?\nAnswer: -138.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 4 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 14*p**3 + 0*p**3 - 20*p**3 + p**2.\nAnswer: -5*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/((-7)\/(-1) + (-90)\/12). Solve 33*w - m*w - 3 = -2*j, j = -2*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 2*f + 4. Suppose 0 = -12*v - 4*v + 400. Suppose -2*a - 2*t + 10 = -7*t, -5*a = 3*t - v. Give h(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l + 110 = -76 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, -39, -192, -499, -1014, -1791, -2884, -4347?\n\"Answer: -9*l**3 + 4*l**2 - 2*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -m - 1 + 2, 5*m + 4*r - 35 = 0. Let z(o) = 11*o**2 + 7*o - 8. What is the lowest common multiple of z(5) and m?\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 53 = 3*h + 44, -4*g = -h - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 165847 and -43.76.\nAnswer: -7257464.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(sqrt(832) + 1) + -3 + -3.\nAnswer: 4 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 0.0304\nAnswer: -0.1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399852 to the power of 1\/2, to the nearest integer?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 91. Is u equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 176. Is 4 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4201501?\nAnswer: 4201466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2685 is divided by 849?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/8 and -5\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22550 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: Let q(f) be the first derivative of -f**4\/2 - 36*f**3\/5 - 79*f**2\/5 + 36*f\/5 + 883. Factor q(g).\nAnswer: -2*(g + 2)*(g + 9)*(5*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 + 3. Let l be c(3). Suppose -2*x + 2*b = 48, -4*x = -3*x - l*b + 34. What is the tens digit of ((-1)\/(-3))\/(x\/(-3648))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*c**2 - 118*c**2 - 19*c**2)*((-4*c + 0*c + 3*c)*(2 - 5 + 2) - 4*c + 3*c - c + 2*c - c - 2*c).\nAnswer: 218*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -2\/79 (c) 0.4 (d) 1\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:55 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49.2 (b) 1.46 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -31909 rounded to the nearest one hundred?\nAnswer: -31900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(1 - -3) - -2. Let q = x + -8. Solve q*i + 1 = 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15920 and 36?\nAnswer: 143280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2023073 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2186 = -396*n + 2170 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**3 - 45*v**2 - 29*v. Let s(h) = 12*h**3 + 39*h**2 + 25*h. Let z(q) = 6*k(q) + 7*s(q). What is z(-2)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a**4 - 2*a**4 + (-2*a**2 + a**2 + 0*a**2)*(-3*a**2 - 2*a**2 + 3*a**2) + (-227 - 270 + 101)*(2*a**4 + 0*a**2 + 0*a**2).\nAnswer: -792*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 309.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -525 + 130393*i - 843 + 369 - 130391*i + 1244*i**3 wrt i?\nAnswer: 7464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -629264 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41036 is divided by 584?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75566579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -432 or -436?\nAnswer: -432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10348.860101 rounded to one dp?\nAnswer: -10348.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20609, 4, 17, 6 in increasing order.\nAnswer: -20609, 4, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176*(-63)\/18018 - 6566\/910.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1322301310 (base 4) to base 9\nAnswer: 845757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/41 or -1?\nAnswer: 20\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**31*w*w\/(w\/w**(-8)) assuming w is positive.\nAnswer: w**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.884289 rounded to 3 decimal places?\nAnswer: -21.884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 7 + j**3 + 5*j - 4 + 5*j**2. Suppose 34 = -5*f + 4. Is 9 a factor of g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3129\/(-312) - 6\/(-39) and ((2 + 16)*-1)\/((-15)\/4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + v + 1. Let g(l) = 3*l**3 + l + 2. Let y be 2\/(4 - 3) + -3. Let u(t) = y*g(t) + 2*x(t). Let d be u(0). Sort -0.5, d, 2 in descending order.\nAnswer: 2, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47131 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27502 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.747 + 21. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 12) + 3 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/3, -2, 82814, 6\/13, -1\/4?\nAnswer: 82814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-32)\/(-15232)*-14\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -37. Let y be (2 + 0)*(2 + -1). What is the tens digit of y\/(-12) - (-546)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 22*o**2 + 33*o - 1635*o**3 + 1636*o**3 + 6. Give u(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, 0.1, -481.4, 5, -5.\nAnswer: -481.4, -5, -3, 0.1, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 3)\/((52\/(-24))\/13). Solve 5 + j = -3*f + 5*v, 0 = -4*f + 3*v - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1994, -1989, -1982, -1973, -1962?\nAnswer: -1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 22, 41, 56, 61, 50, 17?\n\"Answer: -b**3 + 7*b**2 + 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -20. Suppose 0 = 3*v - 0*v - y. Determine u, given that 8\/9*u**5 - 14\/9*u**v - 26\/9*u**4 + 0 + 2\/9*u + 10\/3*u**3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4011 - 4014. Let b be ((-3)\/14)\/((-2)\/(-4)). What is the nearest to -2 in b, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 6*w**2 - 6*w - 2. Let o be (7 + -8)*5*1. Give x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, -12, -11, 3, -1 in increasing order.\nAnswer: -15, -12, -11, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11088 + 11078. Let o(k) = -k + 7. Let q be o(5). Put d, q, 5, 3 in decreasing order.\nAnswer: 5, 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, -1164, -5, -1, -19, 2 in decreasing order.\nAnswer: 2, 0, -1, -5, -19, -22, -1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 + 185\/(-25). Let a be (f - -12) + (0 - 0). Solve 2*o + 2 = a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p - p**2 + 11*p + p - 11*p + 33. Determine h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 104?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6650 + 53201\/8. What is the smallest value in -0.3, -237, s?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438062953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 835785 at most 835785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s + 2. Let a be x(1). What is the nearest to a in -6, 2, 4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 13}. What is prob of sequence th?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -27. Let i = 46 - 45. Suppose 5*b - 7 - i = -2*d, -3*d - y*b + 3 = 0. Which is bigger: 1\/119 or d?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/(-175))\/((-8)\/92)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20292 = 1195*z + 8342 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1275*r - 2530.\nAnswer: -5*(r - 253)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10514 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 4*t**2 - 16*t + 2. Let m be l(-7). Let c = -5 - m. Let w = c + -20. Solve -p + w = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1677403 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -831 by 2095.\nAnswer: -831\/2095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 10*r**2 - 16*r - 39. Determine u(-12).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + j = 30*s - 37*s - 77, 75 = 4*j - 9*j - 5*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391110197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2975 and 34?\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i + 2*f + 1, 3*f = 2*i - 2. Suppose -2*r + i*n = -3*r - 5, -4*r - 5*n + 13 = 0. Solve 27 = 5*c + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4708, 12, 0.3, 0, 21, 2 in increasing order.\nAnswer: -4708, 0, 0.3, 2, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-868)\/56)\/(-31)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 63251\nAnswer: 569259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1791493 + -220143. Suppose -211396 = 3*d + 53696. Let o = w + d. What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 5590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156501552 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8435586 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 54.\nAnswer: -15, -3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 21836\/1607?\nAnswer: 21836\/1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 12 - ((-349 - -370) + (0 - 11))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14114 or 14110?\nAnswer: 14110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (225\/(-24))\/(-3) + 5\/(-40). Suppose j*a - 56 = -20. Suppose 0 = 7*b - a*b + 650. Calculate the remainder when b is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6*v + 3)*(2 + 0 - 5 + (-1 + 1 - 1)*(-5 + 0 + 4))*(-v + v + 2*v + (-3 + 1 + 1)*(-6*v + 3*v + 13*v)).\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8855)\/(-920) + (-6)\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5, 4*k - k + 20 = -2*y. What are the prime factors of (27\/k)\/(615\/310 - 2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*m**6 - 27*m**4 - 6*m**3 - 114*m**2 - 5*m - 6.\nAnswer: -6720*m**3 - 648*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 157, -0.1, -3\/2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {h: 4, g: 2, d: 5, o: 2, m: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1722, 6954, 15682, 27906, 43626, 62842?\nAnswer: 85554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 - (1 + -7)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 l when four letters picked without replacement from lhllllhllll?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1377) + 2 + 5)**2 - (-3*sqrt(2057) + sqrt(187)\/(sqrt(11) + sqrt(176)))**2.\nAnswer: -421582\/25 - 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w - 2. Let j(f) = 2*f**3 - 2*f**2 - 4*f - 140. Calculate 2*j(i) + 4*l(i).\nAnswer: 4*i**3 - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2898*d**5 + 419*d**2 - 2*d.\nAnswer: 173880*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144047.5 grams in micrograms?\nAnswer: 144047500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/528*(-7007)\/(-364)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y - 107. Calculate h(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6466 is divided by 58?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 - 1.4. Let u = 15 - r. Let j = 26 - u. Sort j, 0.1, 0.\nAnswer: 0, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, -1, -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*q - q + 77, r - 3 = 0. Solve -11 + q = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 - 450*u**2 - 29*u + 2617. Determine s(90).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249622327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -44908210 divided by 22454105\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-9))\/((-6)\/12*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**2 - 13*l - 1. Let f be b(-2). Let m be (476\/f - -2)\/(-14). Determine r, given that 9\/7*r**3 - 12\/7 + m*r**2 + 0*r - 9\/7*r**5 - 3*r**4 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1214, 2432, 3650, 4868?\n\"Answer: 1218*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 15. What is q(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 3. What is the units digit of l(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 15824*t - 15824*t - 41*t**3 - 1 in the form v*t**2 + n*t + a*t**3 + s and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1782? (a) 2\/9 (b) -36 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(2\/7) assuming r is positive.\nAnswer: r**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(325) + 3)*4*-4)**2 + -1 + ((sqrt(325) - (sqrt(325)*-1 - sqrt(325)))*-3)**2 + 1.\nAnswer: 8480*sqrt(13) + 112334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 133. What is the remainder when -2*(-469)\/i*1\/1 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*n - 35, -5*n = 4*d - 20 + 3. Suppose -5*j - 3 = -13. Let g(m) = -2*m + j - 7 + 3*m - 2. Calculate g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-3))\/2*99. Let q = -105 - c. Suppose q = t - 4*k + 2*k, -5*t + 5*k = -130. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4 - 5364*w**3 - 3934368*w**2 - 442815596*w - 1293182142 = 0?\nAnswer: -1273, -133, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 49 - 3*o + 2)*(-5 - 2 + 3 + (-2 + 2 - 2)*(-3 + 5 - 3)).\nAnswer: 2*o - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 205304273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 + 6*r - 24. What is h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 467 = -3*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**6\/30 - j**3\/3 - 2*j - 3. Let h(p) be the first derivative of u(p). Find the second derivative of h(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or 1206\/17?\nAnswer: 1206\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Let d(l) be the second derivative of l**3\/6 - 7*l**2\/2 + 5*l. Let p be d(11). Solve h*j + 3 = -p*i - 0, -5*i = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.08 + -92.978. Let y = o - -95. What is y rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402504401?\nAnswer: 13, 30961877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14906765.4 and -4?\nAnswer: 14906761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (20 + -6 + -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5740, -3, -5 in descending order.\nAnswer: 5740, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 42 = 5*r. Let o = r + 5. Let x(l) = 4*l**2 + l - 4. Calculate the remainder when x(o) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*q**4 + 16*q**4 + 17*q**4 + 2*q**2 - 2 + 3*q**3 as y*q + b*q**2 + n*q**3 + c + t*q**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 10*f. Let p(u) = -553*u. Determine p(q(a)).\nAnswer: -1106*a**2 + 5530*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 10:01 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239.973865 rounded to 1 decimal place?\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s*t**4 - 217*s*t + 6*s - 113*t**4 - 192293 wrt t.\nAnswer: -8*s*t**3 - 217*s - 452*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-36))\/((-1)\/(-6)))\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392.144 rounded to the nearest integer?\nAnswer: -1392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7862 + 7916. What is the remainder when 338 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 938480.5km?\nAnswer: 93848050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*n**4 - 6 + n**4 + n**2 + 1459*n - 1445*n in the form a*n**2 + u*n**3 + k*n + j + i*n**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12322 - -12011. Let r = -3 + 341.9. Let m = o + r. Round m to zero dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 116809284*t. Let z(l) = l**2. Determine z(a(x)).\nAnswer: 13644408828592656*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 836462515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/7 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/7, 1.6, -132, 5 in descending order.\nAnswer: 5, 1.6, 1\/7, -2, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*2*sqrt(22))\/sqrt(11) + sqrt(8)\/(sqrt(196)*-3).\nAnswer: 3 + 83*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - 2*sqrt(375) - (sqrt(1500) - -1*sqrt(1500)))\/(sqrt(3) + sqrt(48) + sqrt(48)*-2 - (2*sqrt(12) - sqrt(3)))*-5.\nAnswer: -145*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.8, 4\/7, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 72 + 71*q + 35 to p*q + s and give p.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) 1\/203 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-one quarters of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = 9, 4*i + 67 = 3*q. Let w be 2*1*(-3 - i). Suppose -k = k - w. Solve 2*z = d + 5, -d - d + 5*z = k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 328 + 38 = 5*a, -4*a + 5*y = 196. Let d = -484\/9 - a. Put -3.1, 4, -2, d in decreasing order.\nAnswer: 4, d, -2, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 0.38, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3441 - 3434. Solve 5*a + 2 = u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -528778.74 rounded to the nearest one thousand?\nAnswer: -529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152) - 2*sqrt(152)) - (sqrt(152) - -2*sqrt(152)*-6))\/((2*sqrt(72) + sqrt(16)\/sqrt(8))*4).\nAnswer: 5*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -22*p**3 - 6*p**2 + 5*p - 4. Let y be n(6). Let z = y + 6933. Suppose -g - g - 10 = 0, -g + z = 4*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/10 - 6\/(-60). Let a(r) be the third derivative of 3*r**2 - 1\/6*r**4 + 0*r + h - 1\/60*r**5 + 1\/120*r**6 + 2\/3*r**3. Determine a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17043215.\nAnswer: 5, 7, 486949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 933364 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.063 - -0.096. Let j = 0.067 + r. Let g(f) = -2*f + 22. Let i be g(10). What is the third smallest value in j, -2, 3\/8, i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10619 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/469, -0.4, 31, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 66*s + 977. Determine v(43).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 28*r**2 + 17*r**2 + 6 + 4 - 40*r**2. Let m(v) = v. Calculate p(m(x)).\nAnswer: 5*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -64.51 and -2.\nAnswer: -66.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 16*v**2 - 4*v + 2. Is 59 a factor of r(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 41*g + 6. Let m be 0*10\/90 - -8. Calculate i(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 h when three letters picked without replacement from rpfrffyfyhrf.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 39*v - 817. Let p be (4578\/1090)\/(1\/5). Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n + 1000 = 25*n - 118*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6293?\nAnswer: 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021332 - -121?\nAnswer: 1022113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 634203125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.038 - 16. Let n = p - 0.0338. Round n to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(3*f + 0*f - f)*(9*f - 14 + 14).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6526.\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -4, -0.2, -2\/13, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13195762 times -2?\nAnswer: 0.26391524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*s**4 - 3*s**2 - 28*s**4 + 11 - 112900*s**3 + 112900*s**3 + s**2 as j*s**3 + l + t*s + v*s**2 + a*s**4 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0 + sqrt(1216) + sqrt(1216) + 2)**2.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 2*d + 7, 5*d = -2*w + 12. Let p = 17 - w. Suppose r = p*r - 55. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 410 - 438. Let a be (-4 + s\/(-10))*(-15)\/21. Find h, given that -4\/7*h - 2\/7*h**3 + 0 - a*h**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 9*w + 494 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17538864 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrkv when four letters picked without replacement from vvxvvkvvvrkvrx.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 863116 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgdnddfnfngddfddffdf. Give prob of sequence ngdd.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2702 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/3)*q)**(1\/36)*(q\/(q*((q*q**(1\/7))\/q)\/q*q))\/q**(2\/5) assuming q is positive.\nAnswer: q**(-443\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-3)*(-2)\/6. Suppose m - 1 = 0, -m + 32 = -2*c + 385. Suppose -5*z - 187 = -c. Is u not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 <= -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5306745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2697*s**2 - 21*s - 75. Let x(r) = 1347*r**2 + 11*r + 40. Determine -8*q(n) - 15*x(n).\nAnswer: 1371*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 times -4?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11339144?\nAnswer: 2, 1417393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3320412 and 12.\nAnswer: 3320412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425507167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83902 - 41950 - 41952 - 41*w.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8571 + 8574. Let k(q) be the second derivative of 1\/50*q**5 + 1\/30*q**4 - 1\/3*q**b + 30*q + 0 + 3\/5*q**2. Suppose k(v) = 0. What is v?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -3 - 13) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2\/9 + 40*v\/9 + 4 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9661 = f, 7118 = 2*f + 2*z - 12186. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -5, 0.06, 5, 1.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -5\nAnswer: -141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-1)\/((-4)\/(-16)). Suppose -c*t = -179 - 1. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 - 10*i + 2. Let u be h(4). Let d = 62 + u. What is the greatest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5096361*b**4*y**3 - 2465943*b**2*y**3 wrt b.\nAnswer: 122312664*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -221 + 221 + 0*i + 22*i as f + n*i and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllglllll. Give prob of sequence lll.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -69\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/5 - 84*t**2\/5 + 1026*t\/5 - 2888\/5 = 0.\nAnswer: 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minus -0.2?\nAnswer: 468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*((-2 - 4 + 4)*(-3*p**3 + 6*p**3 - 2*p**3) + 14*p**3 - 9*p**3 - 19*p**3) to the form u + a*p + n*p**3 + w*p**2 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 + 124 = 4*j. Let a = -178 - j. What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9308532 divided by 4.\nAnswer: 2327133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b + 7*b + 8*b**2 + 6*b + 68*b**2 - 28. Let k(z) = -2*z**2 - z + 1. Let l(g) = -56*k(g) - 2*x(g). Let c(u) = -u**2. Calculate c(l(n)).\nAnswer: -1600*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(sqrt(99) - ((sqrt(99) - (2 + sqrt(99))) + 4 + sqrt(99))) + -2)**2 + 3.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136799 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 5, -0.5, 0, 2, -137?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s**3 - s)*(-2*s + s - s + 0*s + 0*s - s + (-1 + 3 + 1)*(s - 2*s + 3*s) - 194 - 19*s + 194).\nAnswer: -16*s**4 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/4*3784\/10164*42\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let l(i) = 53*i**2 + 23568*i. Calculate l(q(x)).\nAnswer: 53*x**2 + 23568*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802211.\nAnswer: 61, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0 - 400\/16. Let r = 30 + z. Suppose 3*w + 3*m = 33, -2*m - 41 + 15 = -r*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1017860773\/71926 + 8\/35963. Let c = 14608 - u. Let q = c + -468. What is the common denominator of q and -71\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + sqrt(76)*2*5 + sqrt(76) + sqrt(76) - sqrt(76))\/sqrt(4).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -15*d + 4967. Is i(55) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1 + 21 + (-1978)\/86. Solve v + 6\/13*j**2 + 0*j - 2\/13*j**4 - 4\/13*j**3 = 0 for j.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2. Let z = -129 + 129. Let y(g) be the second derivative of 0*g**2 - 5*g - 1\/12*g**4 + 0 + z*g**3. What is y(a(n))?\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(30)\/(sqrt(18)\/sqrt(3)) - sqrt(5))*3)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -607. Suppose f*r - 568*r = 1312. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4773630555 to the nearest integer?\nAnswer: 69091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 + -154.3. Let p = 152.55 + -149. Let j = p - -0.45. What is the third smallest value in j, l, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120848661 is divided by 3914?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.470888 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Let h = 3.2 - q. Let o = -775.5 + 776. Sort h, o, -0.5 in ascending order.\nAnswer: -0.5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -37 - (-15 + -10) - 58?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5 - -4.3. Let c = -3 + 2.9. Let f = 0.3 + c. What is the nearest to -2\/7 in y, -4\/3, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 5*t + 11. Let b be w(-6). Suppose -5*y = 3*q - b, 0 = 4*y - 10 - 6. Let l be 3 - (1 + 1 + q). Solve -1 = -p + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -120*o - 38. Let s be (-56)\/7 - (-3 - (3 - 10)). Let w be z(s). Suppose -17*j - w = -19*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/22*3*5\/(-5)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*108306\/691955\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151397, -151399, -151401, -151403, -151405?\nAnswer: -151407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/5 + 74*w**2\/5 + 358*w\/5 - 434\/5 = 0.\nAnswer: -31, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:07 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 149.54 < 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.418128309 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 404873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1904 in 0, -2\/5, 0.4, -3, -1\/104?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340761 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 67*s = 3*s - 3102 + 2932 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1519 is divided by 756.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-104))\/1*(-8)\/4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 1, l: 1}. What is prob of sequence qsl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020331110312 - 2?\nAnswer: -1020331110320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -4*l + 12, l + 3*v = -12. Let a be l\/4*(-4)\/8. Suppose a = -2*b - 18 + 22. Sort 5, 3, b.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201545726 a multiple of 3361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/267 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -9*p, 0*p = 5*q - 2*p - 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + d = 119. Suppose 0 = -3*w - 2*j + d, 5*j - 31 - 4 = -5*w. Solve -7*v = -w*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893671 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-468)\/(-390) + (32\/(-10) - -2). Suppose a = -92*q + 72*q + 40. Factor -1\/2*y**2 - 1\/2*y**3 + 2*y + q.\nAnswer: -(y - 2)*(y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31595849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -20 + 6 + 9 + 7 + v + v**2. What is g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -2*h. Let y(v) = v**2 + 47*v + 322. Let k be y(-38). Put 4, k, h, 0 in increasing order.\nAnswer: k, h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)\/(f\/(f**5\/f)*f*f*f)*f\/(f**(-1)*f)*f*f**(2\/5) assuming f is positive.\nAnswer: f**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:24 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8)*(126\/35)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5361049 is divided by 486.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(1 - 5 + 2)*(104 - 455 - 151)*(x**2 - 3*x**3 - x**2).\nAnswer: -3012*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 + 84. Let t = d + 122. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s*s\/s**(2\/5)*s*s)**4*((s*s**(-2\/17))\/(s*s**(-1\/9)\/s))\/(((s\/(s**6*s))\/s)\/s*s*s*s**2) assuming s is positive.\nAnswer: s**(7186\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 81. Suppose 4*y + h = 3415. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -46*d**3 - d**2 + d + 2. What is f(-1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhjhhhhjjjhj. Give prob of picking 1 h and 2 j.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552 = -21*n - 564 + 444 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 6, -125, 0.1, -11, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -92. Suppose w*o = -3*s + 2*o + 702, -5*s - o = -1170. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from ggrjszsijgsrszr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 15*q + 21. Let i be h(9). Let f = i - -6. Solve f = -r - 4*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/10*(-3 + 1). Suppose p + 5*c = f*p - 280, 4*p + 3*c - 312 = 0. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - -0.39. Which is the closest to -2\/5? (a) 0.1 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118696948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1613812.\nAnswer: -6455248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 0.5 (c) -21 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -121*p**2 + 6*p. Let b(w) = -1089*w**2 + 55*w. What is -6*b(z) + 55*u(z)?\nAnswer: -121*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -47, -0.1, 438, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 3*c**2 + 2*c - 1. Give m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.3 (c) -8\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**4)\/(((h\/((h*h\/(h*h**(-5))*h)\/h))\/h*h*h)\/h))\/((h\/(h*h\/h**(1\/3)))\/h)**48)**(-4\/7) assuming h is positive.\nAnswer: h**(-328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/3 + -2 + 108. Let m(u) = -u + 16. Suppose 2*h = 4*h - 6. Let w be m(h). Calculate the greatest common factor of w and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903022, -903023, -903024, -903025?\nAnswer: -903026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6999 is divided by 442.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-99)\/(-231))\/((-9)\/(-42)). Put 5, w, -15, -6 in decreasing order.\nAnswer: 5, w, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/69 or -13660.7?\nAnswer: -13660.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 1206775616?\nAnswer: -1206775623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 - 106*w + 78. What is x(7)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58383 - 1.4936042?\nAnswer: 58381.5063958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1a2 (base 13) to base 6\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*r - 5*w, -5*r - 69 = 2*w - 88 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 5*n + 2*n)*(1 - 1 + 2)*(12 - 47 - 11).\nAnswer: 184*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23345 is divided by 193?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/2 - -4)*15\/(-60).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-457*b - 768*b + 32*b)*(2*b + b - 4*b).\nAnswer: 1193*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -3 + (-6 - -5). Let x(j) = j + 1. Let v be x(y). What is the tens digit of 77 + 1\/1 - v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let p = 132 - 129.55. Let n = p - f. What is n rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2*s*t + 40*l**2*s + 179*l*t + 2130*s - 45*t wrt l?\nAnswer: 4*l*s*t + 80*l*s + 179*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**4 + 924*g**3 - 7184*g**2 + 8336*g - 2640.\nAnswer: (g - 6)*(g + 110)*(3*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(5 - 1 - 3) - 27 - 1 - 46 - 1 + 1 + 5)*(-3*p + 3*p + 2*p).\nAnswer: -136*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r. Solve r = -2*m + 4*t - 2, -m = 4*m + 3*t + 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 20*o**3 - 8*o**2 + 236*o - 40. Let u(p) = 7*p**3 - 3*p**2 + 78*p - 14. Determine 5*l(c) - 14*u(c).\nAnswer: 2*c**3 + 2*c**2 + 88*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 470303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 9:58 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-56) + 3224\/14?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 9. Suppose k*m - 15 = -0*m. Suppose y - 6 = -m*b - 0*b, 5*b = 2*y - 45. Calculate the highest common factor of 60 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/4 + 6*m**3 + 19*m**2\/2 + 39*m + 76. Let c be y(-17). Let z(d) = d - 7. Calculate z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:20 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4\/(-1))\/(-2))\/(1125\/50 - 22). What is the fourth biggest value in j, 0.03, -1\/4, -4\/5, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961 divided by 1?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 152, 140, 114, 68, -4, -108, -250, -436?\n\"Answer: -b**3 - b**2 - 2*b + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4)*(342\/(-95))\/((-126)\/(-150))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(225)\/(-1*sqrt(5)))\/(-5*(sqrt(144) + sqrt(9))).\nAnswer: sqrt(5)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 5 = -29*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -59, -2043, 1, 7 in descending order.\nAnswer: 7, 1, -1, -59, -2043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 32 = 18*j. Let k be j\/(-12)*2*7\/(-14). Suppose -5*y - 1 = -c, 3*y = -3*c - 4 + 7. What is the third biggest value in k, 4, y, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35926 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -34 + (-1581 - -1614) - (-1 - -31).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1680 divide 1500033547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/40 - 7*h**5\/30 + 5*h**4\/8 - 2716*h**2. Factor v(w).\nAnswer: w*(w - 3)*(3*w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*z - 20 = 0, -o + 3*z + 2 = -0*o. Suppose 0 = j + 5*v + 16, 0 = -3*j - 5*v - o - 0. Suppose -3*h = -6, h = d + j*h - 34. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**7\/3780 + l**6\/270 + 7*l**4\/12 + 9*l. Let z(w) be the third derivative of b(w). What is q in z(q) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-18)\/(q*(q\/(((q**(1\/19)\/q)\/q)\/q)*q)\/q*q))\/(((q**(-2\/9)*q)\/q)\/q**(-4\/13)))**(-10\/9) assuming q is positive.\nAnswer: q**(534250\/20007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b*b**(1\/10))\/b*b)))\/b*b\/b**(1\/4)*(b**(1\/2))**30)**(1\/7) assuming b is positive.\nAnswer: b**(317\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -71*k**3 + 10*k**2 + 83*k + 55. Is b(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 326. Let h = 321 - v. What is the third biggest value in h, -2\/13, -6.9?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t - 383. Let j be o(23). Solve -3883 = j*i - 3891 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.75, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.02255, 4, 0.5, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 760 + -92. What is h rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 22, 39, 64?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6790537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from aaattaaaat?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -145268 divided by 3158\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89 and 132521.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180712 and 6454?\nAnswer: 180712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 798897467 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2236*x**2 + 34 + 7991*x**2 + 42.\nAnswer: 10227*x**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 15*k)*(-7*k**2 + 3*k**2 + 3*k**2).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32030 and 1819304?\nAnswer: 9096520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 159930612 less than -0.31?\nAnswer: -159930612.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose 2*t = u + 10, 0 = 6*t - 2*t + 3*u. What is the first derivative of 4*g**l - 4 + 11*g**t - 11*g**3 wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide (-3)\/(4*(-18)\/73272)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 7 in ascending order.\nAnswer: -6, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(60)\/sqrt(108) + (sqrt(405) + 0 - sqrt(405)).\nAnswer: -2 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x. Let q(u) = 33 + 34 + 32 + 2*u - 99 - u**2. Determine -5*q(f) - 4*z(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -4, -1 in descending order.\nAnswer: 5, 0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 14\/229?\nAnswer: 14\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w - 1. Let h(y) = -3200*y**4 + 1760*y**3 - 308*y**2 + 26*y - 4. Let g(k) = h(k) - 4*l(k). Find j, given that g(j) = 0.\nAnswer: 0, 3\/20, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1841044 (base 9) to base 13.\nAnswer: 2a128b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d + 509. Determine w(-47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167478 and 26574?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 44*h\/5 + 114\/5.\nAnswer: 2*(h + 3)*(h + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.4 - 28.6. Let j = -28 + o. Let n = j + 1.3. Is 0.2 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 5)*(-4 - 1 + 3) + 86 + 81 + 272)*(3*g - 4*g + 2*g + 5) in the form l + q*g and give q.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 + 67172*o**3 - 23691*o**2 wrt o.\nAnswer: 24*o + 403032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10888884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -0.1, -50, 4\/3, 0, -1\/2 in decreasing order.\nAnswer: 117, 4\/3, 0, -0.1, -1\/2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-2 - -6) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1612*r + 3 - 481*r + 145*r**3 - 146*r**3 - 2207*r - 4 to the form z*r**3 + o + j*r + u*r**2 and give j.\nAnswer: -4300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4928 = -166*s + 4202 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 45720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {x: 2, r: 2, c: 7, g: 1}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*d - 2 + 6 - 4 in the form j*d + h and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -881 - -957. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 20*h = -660. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273903181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*d = -42, -4*f - 6*d = -7*d - 45. Let y be 4 - -9*f\/18. What is the second derivative of 14*m**3 + 16*m**3 - y*m**3 - 2*m wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6625054664?\nAnswer: 2, 269, 1039, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52791, -52777, -52761, -52743?\n\"Answer: q**2 + 11*q - 52803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197146022 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 1, z: 1, q: 5}. Give prob of picking 1 z and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - -13) + 33 + -109 + 14.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1396634278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*x + 4 = 0, j = -2*x + 5*x - 4. Let n be j\/2 + 19\/(-19). Solve 6 = 2*w - 4*m, n = -5*w + m - 1 + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 55 = -25. Suppose -r - 7*p + 3*p = -21, -5*r = -p - 63. What is the remainder when r is divided by (1 + 0 + 7)*(-10)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150374.\nAnswer: 2, 7, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 9*n**2 + 5*n**2 + 0*n**2 - 14*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 <= 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or 5\/849?\nAnswer: 5\/849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2191, -1412.\nAnswer: -2191, -1412, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*u + 4*d, 2*u - 147 = 5*d - 160 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35055.\nAnswer: 3, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 59066726 divided by 1\nAnswer: 59066726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-805)\/3174 + 28\/168\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 2. Let l be a(2). Let q = l - 7. Let d(j) = -2 - 193*j + 387*j - 190*j. Determine d(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/300 and 121\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11))**(2\/101)\/(q**(5\/2)*q*((q*q**(5\/6))\/q)\/q) assuming q is positive.\nAnswer: q**(-1076\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 2046.\nAnswer: 200508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 39. Let s(l) = l - 2. Let m(i) be the second derivative of 5*i + 0 - 1\/3*i**3 + 3\/2*i**2. What is c*m(p) + 3*s(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r - 2*r. Suppose r = -5*v + 22 + 88. Solve 4*q - 2 = -v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 10*a - 7*a - 8981*t + 8978*t, 0 = 5*a - 2*t + 59 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*q - 2797 = 0, 1890 = -k + 3*k - 5*q. Is 37 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 133932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*t + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1577 - -15703. What is the highest common divisor of 240 and y?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b)\/(b**(-14)*b*b) assuming b is positive.\nAnswer: b**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304 + 304.0000681. Round t to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/6 - 3 - 45\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/((-4)\/(-2)))\/1. Let x be 7 + (-6)\/(0 + 6) + -2. Is 1\/x - (3598\/(-8) + t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6095980 and 1011560?\nAnswer: 231647240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 + 0.35. Let f = -425 + 239. Let u = f + 3908\/21. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {g: 4, c: 3, l: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 2405431?\nAnswer: 2405431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 + 6*p**2 + 9*p + 2. Let b(o) = 2*o**3 - 3*o**2 - 4*o - 1. Suppose 816 = -4*y + 12*y. Let z be y\/(-85)*10\/(-3). Give z*m(s) + 9*b(s).\nAnswer: 2*s**3 - 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 538921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86670463?\nAnswer: 11, 23, 67, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3. Let a(l) = -7*l**3 + l - 1. Let z(n) = -a(n) + 2*d(n). Let f be z(1). Let v = 1 + 15. Solve f*j + v = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k + 21*k - 2 - 10*k - 8*k. Calculate the remainder when l(-8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -22 - 143. Let a = h + -23. Let w be 15\/(-6)*(-16)\/a. Solve 0*p - w*p = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + sqrt(567) + -1*sqrt(567) - 5*(-1*sqrt(567) + sqrt(567))))**2 + ((sqrt(567) + sqrt(567)*3 + -2)**2 - (4 + -1*sqrt(567))).\nAnswer: -135*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 2*w**2 - 29 + w**2 - 33.\nAnswer: 2*w**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 197*d**2 + 296*d - 391. Determine j(-100).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*h + 12 = 0, -4*h = -2*q - 5*h + 5. Which is bigger: q or -62\/363?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*m + 1644, -2*d + 13*m - 9*m = 1118. Let x be (2 + d + 1)\/((-3)\/2820). Round x to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -3*o + s*o + 273 = 0. Let h = o - 54. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1 + q**2 + 8*q + 8*q**3 - 7 - 1. Let s be ((-1)\/(-3))\/(18\/378). Let f be j(s). What is f rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 16 = -19, 4*r + 12 = 4*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n - 1. Let x be 577\/4 - 6\/(-8). Let t be x\/(-35) + 1\/7. Put t, -2, n in decreasing order.\nAnswer: n, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11169 by 1.\nAnswer: -11169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 5. Let j be c(-5). Suppose j = -4*s + 17 + 15. Suppose v - s - 2 = 0. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6967336506?\nAnswer: 2, 3, 13, 601, 148627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -201214403 (base 6) to base 7\nAnswer: -41046525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 113*t + 98*t - 5 - 8*t**2 - 16*t**2 - 2*t**3 - 237*t + t**3. Calculate f(-23).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b + 12*b. Solve b = -5*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 50290.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110012 + -20100?\nAnswer: -1200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0*m - 7\/24*m**4 + 4*m**2 - 1\/12*m**5 + 4\/3*m**3 + 0 + 1\/120*m**6. Let l be ((-2)\/(-5))\/(1\/15). What is i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i - 75. Let q(v) = -3*v + 25. Let d(k) = 7*q(k) + 2*u(k). Let p(j) = -3*j + 13. Let n(t) = 6*d(t) - 11*p(t). What is n(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-318) + (-1826)\/13409\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -12 - 63. Solve 5*p - p = n*i, -i - p = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**3 + 10*w**2 + 11*w - 11. Let t(k) = -k**3 + k**2 + k - 1. Let g(y) = 2*q(y) - 22*t(y). What is the third derivative of g(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(11) + -1.\nAnswer: -6 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + 4*j + 3. Let d(x) = -9*x - 7 + 4*x**2 + 4*x**2 + 7*x**2 - 6*x**2. Let q be 11\/209*2 + (-279)\/(-57). Calculate q*v(l) + 2*d(l).\nAnswer: -2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, 1, 196\/3, 4 in decreasing order.\nAnswer: 129, 196\/3, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/4 - 35*m**3\/6 - 24*m**2. Let v be x(-5). Which is the closest to -2\/5? (a) 5 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -57.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from jkciciccciljcicicc?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -23 + 15 + (-11 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1380\/140)\/(123\/287).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -4*b - 12, 4*b + 24 = -5*q. What is the units digit of (-36)\/(-16)*q\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/12 + 2*f**3 + 6*f**2 + 4. Let s(m) = 2. Let g(r) = -6*s(r) + z(r). Let v(u) = 118*u**2. Give v(g(c)).\nAnswer: 472*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1188*-3*4.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + 62 - 116 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 313 = -212. What is the common denominator of m\/28 - 20\/4 and -149\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2301608 divided by 2301608.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-84)\/(-49))*2\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 2)*(-37*i - 44*i + 22*i) + (-7 + 0 + 5)*(-2*i + 0*i + 4*i)*(-4 + 0 + 2) to the form d + h*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 3, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 56. Let j = t - 14. Suppose -u = 4*v - 165, -5*v = -j*u - 149 - 36. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*-4*1*(sqrt(180) + (sqrt(180) - (sqrt(180) + sqrt(180) + 2 + 5)) + -1*3*sqrt(180))**2*-4.\nAnswer: 80640*sqrt(5) + 534080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuuwmwnunwvu. What is prob of sequence un?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 19414\/7125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 2\/1497 (c) -0.4 (d) -30\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Suppose -5*c - p = w*p - 67, -2*c + 34 = -2*p. Find b such that 25*b**2 + 12*b - 5*b**3 - 31*b + c - 16*b = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3)*(-25)\/175.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*x - q, -x + q - 2 = -1. Let w(o) = 4*o - 1. Let h be w(x). Suppose b - 2*b = -h. Solve 5 = 4*j - b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 - 9*w + 17. Let t be z(5). Let f(u) = -u**3 - 2*u**2 + 7*u - 1. Let v be f(t). Put 3, v, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 210 = -69*o - 895 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -376*x + 4171. What is r(11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 j when three letters picked without replacement from {h: 5, i: 2, x: 1, m: 2, j: 6}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.429 + 0.229. Which is the nearest to 5? (a) s (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1980730897 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 15 (c) 0.06 (d) -5.2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/60 + 9*h**2 + 15*h. Let b(c) be the first derivative of x(c). Let q(z) = -2*z**2. Calculate q(b(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-4) - (-3 + 0). Solve w + 2*w = p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*-2*-29. Let s = d - 50. Let m be (7\/s)\/(2\/6). Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.02, -25, 1\/7, -14, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*u**2 - 244*u - 24 = 0.\nAnswer: -3\/5, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/961 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1003045 times 0.4\nAnswer: -401218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 31 + 5)*(-p + 21 + 2*p - 108).\nAnswer: 59*p - 5133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/11 + 8*q**3\/11 - 32*q\/11 + 32\/11 = 0. What is q?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.0988?\nAnswer: -0.3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (17 + 24 - 33)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/77 (b) -27 (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -479\/6 + 80. Which is the second smallest value? (a) 1\/3 (b) l (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (4 + sqrt(75)))*2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605.88320669 plus 0.2?\nAnswer: 1606.08320669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 688298229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**3 + j. Let k be m(-2). Suppose 16*u - 63 + 303 = 0. Let r be (k\/u)\/(8\/10). Which is greater: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734682635.\nAnswer: 3, 5, 7, 17, 35993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-3 + -1)**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5680552 + -678\nAnswer: 5679874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -2\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g - 83*g - 75*g - 90*g + 319*g - 852.\nAnswer: -11*g - 852","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 + 11*d - 35. Let c be k(-4). Let x(g) = g**2 + 14*g - 3. Determine x(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = 0, -1961 + 181 = -5*k + 4*s. Calculate the greatest common factor of 4094 and k.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -5*s**3\/3 + s. Let l = -7 - -6. Does 7 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 40 = -9*q. Suppose -459 = 7*u + q*u. Put 2\/7, 4, u in increasing order.\nAnswer: u, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-665)\/(-5)*(510\/(-119))\/10?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a86 - -2?\nAnswer: 4a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(6\/(-3))*-2. Suppose -3*f = h*f - 1755. Suppose -3*b + f = -1518. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3839 (base 11) to base 5.\nAnswer: -130003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 696, 2442, 5852, 11484, 19896, 31646?\n\"Answer: 93*j**3 - 5*j**2 + 4*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -96.1 (b) 1153 (c) 1 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and 11482.57.\nAnswer: 11483.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 33444214.6 to the nearest 1000.\nAnswer: 33444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -229 + 334. Let z = -8809 - -8844. What is the greatest common divisor of l and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 4*a. Let u = 11 + -6. Let h(d) = -9*d**3 + 9*d. Calculate u*x(t) - 2*h(t).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*1\/(-3) - 13. Let o(r) = r**2 + 14*r + 17. Let m be o(y). Let w(v) = 9*v - m*v - 4*v. Let b(i) = -13*i**2. What is b(w(n))?\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 22 - 10 - 13 + 43*a. Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 14 - 3)*(-m**3 + 0 + 0).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:48 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**15*q*q**(-1\/6)\/q)**(-33)\/(q**(3\/5)*q**(-2)*(q\/q**1)**32) assuming q is positive.\nAnswer: q**(4689\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 588 - 217 = -2*h, -4*h + 5*o + 1625 = 0. Suppose -3*x + h = 2*x. Suppose 2*n = -n + x. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 3979554*b\/5 - 23877216\/5.\nAnswer: -3*(b + 6)*(b + 1326512)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -9) + 1 - (-8 + 3 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*j + 3 = -5, -5*t = -j - 20. Let l = 7 + -3. Let w(r) = -2*r - 6 + r + l. What is w(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmsssmssmmmmsssmmms. Give prob of sequence mmms.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 92 - 32 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -0.03, 2.08.\nAnswer: -1, -0.03, 1, 2.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2543.\nAnswer: -4\/2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -1, 3 in increasing order.\nAnswer: -59, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44595?\nAnswer: 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + (-4 - -1) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-2))\/(2142\/(-612)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w + 10. Calculate the remainder when 25 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81932110 to the power of 1\/2, to the nearest integer?\nAnswer: 9052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - -47. Let q(j) = 53*j + 398. What is the remainder when n is divided by q(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5257*n - 5252*n + 20841*n - 5252*n - 5108*n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 47351.35 weeks?\nAnswer: 477301608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (2 + -2))\/1. Let d(c) = -c - 4. What is d(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 7. Let x be g(8). Let s = x - -3. Is 2\/((-1)\/(-649)*s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 499 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/45 - (3 + (0 - 2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*21\/(-24))\/((-4)\/48). Suppose 7*a - x = 49. Calculate the lowest common multiple of a and ((-2)\/(-6) - 1)*-15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*c = 6, -r + 12 - 2 = 4*c. Let j(p) = -13 - p + 3*p**2 - 7*p**r + 5*p**2 + 4. Give j(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38330896 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 78 = -9. Let m = -48 + i. Calculate the highest common divisor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 9*o**2 + 10*o + 8. Suppose 0 = -h - 5*x + 35, -h + 2*x = -2*h + 38. Suppose -10*y - h = -6*y - 2*d, -2*d = 2*y + 8. Calculate g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z\/(z*(z*z\/z**(2\/7))\/z))*z)\/z))\/(z\/z**(-30)))**41 assuming z is positive.\nAnswer: z**(-9102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8704 divided by -68?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00467076 rounded to 5 dps?\nAnswer: 0.00467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9061\/5958 - 62\/2979. Factor 0*j**2 + 1\/2*j**3 + 1 - o*j.\nAnswer: (j - 1)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18d82 - 148d?\nAnswer: -1a431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*d - 4, j + 2*j = 2*d + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-3)\/(-6)*-2. Solve -f + 4 = 2*a + b, f - 3 = -5*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-16\/7)*d)\/d)\/d*d*d*d**(-12\/5) assuming d is positive.\nAnswer: d**(-94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 2 k when four letters picked without replacement from llkkyklllylklkll.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 71.7. Round t to one decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012807924 to the power of 1\/2, to the nearest integer?\nAnswer: 44864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + sqrt(133)*3) - sqrt(133))*5 - sqrt(133))\/sqrt(7).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.7 - -19.41. Suppose -7*f - 3*i = -10*f, 3*f - 5*i = 2. Which is the nearest to -2\/7? (a) u (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/12 - (-66)\/(-4). What is the units digit of 4\/(-18) + (-76)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*o**3*x**2 - 159*o**3*x - 19*o**2 - 22*o*x + 2*o - 5*x**2 wrt o?\nAnswer: 102*x**2 - 954*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*i - 3 = 1, i = -3*f + 13. Suppose -10*n = -f*n - 6. Suppose 0 = -k + n, -5*y - 4*k + 213 = 34. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.7 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j + 10*j - 3886*j**2 - 10 + 17884*j**2. Let h be p(10). What is h rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 11*k + 700 = 0. Suppose -5*l - 2*q = 75 - 319, 4*q + 212 = 4*l. What is the greatest common factor of l and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 7 - 31 = 0. Put 4, -1\/5, k in increasing order.\nAnswer: -1\/5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 - 2*f**2 - 11*f + 4. Let v be s(-8). Let m = 74 + v. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:49 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 3118*j**2 + 1213680*j + 1216800.\nAnswer: 2*(j - 780)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 2, 148, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*q - 12*q + 28*q - 1694 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.935372ml?\nAnswer: 0.003935372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 5\/26, 1, -36, 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2272 and 57\/56.\nAnswer: 15904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let s = -0.5 + 0.3. Let m = -0.1 - s. Is m greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -236266000 to the nearest one million.\nAnswer: -236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*i - 147. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19476492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by -1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 76. Let s(z) be the second derivative of z**3\/3 - 131*z. What is j(s(x))?\nAnswer: -2*x + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - ((-9)\/(-18) - 1\/2). Let s be 7\/(b*4\/20). Let u(x) = 9*x**2 - 6*x + 8. Let n(k) = -10*k**2 + 7*k - 9. Give s*u(l) + 6*n(l).\nAnswer: 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -31*d**4\/24 - 11*d**3\/6 - 32*d**2. What is the derivative of c(l) wrt l?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 47 + -4 + (1 - 1). List the prime factors of 0 + x + 3 + -7.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*r**6 - 4*r**5 - 1194*r**2 + 9 wrt r?\nAnswer: 5880*r**3 - 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taallllpapllatll. Give prob of picking 2 t and 1 a.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33710, 67682, 101654, 135626, 169598?\n\"Answer: 33972*v - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/3 or 14760?\nAnswer: 14760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w + 2*c, -2*w + 5*c + 6 = w. Solve w = 3*m - 4*t, 2*t = -t + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3628624 = 2*k - 148*k + 126182166. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(168\/(-3030)) + (-2)\/(-8). Let x = o - -126. Solve -4*w + h - 5 = -x*h, -17 = w + 5*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27108.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-2))\/((-2)\/3). Let j = -12 + p. What is the tens digit of (-3 + 4)*j*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*d = 47*d + 154*d + 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 15. Let c be n(-5). Let b(f) = -f**2 - 5*f - 3. Let i be b(-3). Find the third derivative of -5*d**6 - c*d**2 + 4*d**2 - i*d**2 wrt d.\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(1 - 3 + 1)*(3*y - 6*y - y)*(-4 + 0 + 3).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -10*g**3\/3 + 946. Let s(p) = 17*p**2 - 2*p. Calculate s(k(x)).\nAnswer: 1700*x**4 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05987 - -0.04013. Which is the closest to -0.46? (a) l (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y - 8. Suppose -26*l - 1415 = -1571. Sort -4, y, l in decreasing order.\nAnswer: l, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -9. Suppose 0 = 2*q - 10, 0 = 5*y - 2*q + x*q - 40. Is 33\/((-18)\/(-4) - y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -87. Suppose -2*p = 3*n - 107, 2*p + c = 3*n - 51. Calculate the greatest common divisor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24051340 to the nearest one hundred thousand.\nAnswer: 24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/21)*p*p)\/(p*p*p\/(p*p**(1\/3))))\/(p\/p**1*p**2\/p) assuming p is positive.\nAnswer: p**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 21. Let o be g(-8). Let f = o + 1. Is (-79)\/(-2 - 1 - f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8815076, -2\/3, -1 in decreasing order.\nAnswer: -2\/3, -1, -8815076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*g**2 - 21*g + 328 - 328 wrt g?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182420.2 microseconds to milliseconds.\nAnswer: 182.4202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from kkuxukkkkskkukkuk.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -128717101872?\nAnswer: 128717101872.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-48) - 6\/36. Let j be (42\/(-20))\/((-5)\/((-50)\/108)). Is j smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-18)\/(-90)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/123)\/((-4)\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 579018.5l?\nAnswer: 579018500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158716 - 0.5?\nAnswer: -1158716.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - (-3 + (0 - -1)) - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217.93l to millilitres.\nAnswer: 2217930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*x - 10 - 10, -4*x + 20 = 4*i. Suppose -x*m + 60 - 15 = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1) + -26 + 0. Let k be 48\/52 - (621\/39 + -16). Sort 3, 5, k, c in descending order.\nAnswer: 5, 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 7*b**2 - 8*b - 5. Let p be i(8). Let f be 5\/(-200) - 2\/p. Let q = 168\/395 - 2\/79. Sort f, q, 4 in increasing order.\nAnswer: f, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -1507*a**3\/3 + 3901*a + 2095. Differentiate f(p) with respect to p.\nAnswer: -3014*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 4*x - 13, x = 4*n. Sort 4, 2, 5, n in increasing order.\nAnswer: n, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1383 and 654564219?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) - (-32)\/(-30). Suppose 0 = -4*r - 0*r - 12. Let j be 2 + r + 1 + -1. Is j >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -52*k**3 + 380*k**2 - 574*k. Let u(g) = -g**4 - 260*g**3 + 1898*g**2 - 2869*g. Let j(s) = -4*u(s) + 22*z(s). Determine b so that j(b) = 0.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24702830 rounded to the nearest 10000?\nAnswer: -24700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 689118590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-144)\/(-40))\/((-3)\/10). Let w be 66\/m + 4\/8. Sort w, -1, 7 in descending order.\nAnswer: 7, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1467 and -6.48.\nAnswer: -1473.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11636432?\nAnswer: 2, 17, 179, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/670?\nAnswer: 3\/670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1391 + 1901 = -4*a, -1315 = 2*j + a. Is -655 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 41567*k + 207824. What is t(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -60. Suppose -3*s = -5*v - q, -4*s = -3*s + v + 4. Let p be 3 + -2 + s + 1. Solve -p*u + 4 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272627, 545426, 818225, 1091024, 1363823, 1636622?\nAnswer: 1909421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 18*y**2 - 2*y - 2. Let w be u(-1). Let q = -16 + w. Find the third derivative of 2*r**2 + 2*r**5 + 7*r**q + r**2 wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/60 and -89\/19485.\nAnswer: 77940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 40*a. Let q(f) = 4011 - 4019 + 413*f - 418*f. Calculate q(i(z)).\nAnswer: -200*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millisecond in microseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 3 - 3*y**2 + 0*y + y - 8*y**2 + 10*y**2. Let j = 18 + -12. Suppose -2*k = -j*k + 24. Determine i(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by 20769\nAnswer: 226\/20769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 3*m**2 - 24*m + 20. Let l be h(8). Suppose 3*w - 4*d - 363 = l, -4*w = -3*d - 672. List the prime factors of w.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**4 - 2*t**3 + t. Let j(c) = c**3 - c. Let m(a) = -6*j(a) - 3*u(a). Find the second derivative of m(b) wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - 3\/54*-14. Suppose -4*v = 3*u - 806, 4*v = 7 + l. Let i = u + -129. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.16 (c) 0.2 (d) -7 (e) -40799\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/5)*3\/15*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*4\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 3, b: 2, v: 6}. Give prob of picking 1 v, 1 s, and 1 b.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krnukrnrukrr. What is prob of sequence nrrn?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266960 by 5.\nAnswer: -53392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (22 - 11)) + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924, -919, -914, -909, -904, -899?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*h - 36 = 0, 3*h = 2*w - 0*h - 34. Suppose -a + o + w = 0, -3*a + 5*a - 10 = -4*o. Let y = 5 + a. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z**2 + z**2 - 2 + 5*z. Suppose 0 = 5*b + 4*y + 70, 2*b - 10 = -4*y - 50. Let j(p) = -4*p**2 + 3*p - 1. Determine b*j(s) + 6*d(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + -3*sqrt(500)))**2 - (4 + sqrt(500) + -2 - (4 + (-1*sqrt(500) - sqrt(500)))).\nAnswer: 4470*sqrt(5) + 112727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*i**2 - 241*i**2 - 237*i**2 + 992*i**2 - 235*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 184*n**2 - 2*n + 191*n**2 + 183*n**2 - 737*n**2 + n**3 - 20 + 191*n**2. Calculate d(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46400?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/71, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14133*j**2. Let m(k) = 11518*k**2. What is t(m(b))?\nAnswer: 1874944891092*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 21. Give g(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 11, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755 = 4*z - 5*s, 4*s = -5*z - 474 + 1387. Is z a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 4:58 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -7. Let k = b - 8. Let s be (-3)\/2 - 81\/(-2). Calculate the highest common divisor of s and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28531.1 - 93?\nAnswer: 28438.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -14*k + 13*k + 11, -11*q - 5*k = -59 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 1:58 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 7. Let s(t) be the first derivative of t**2\/2 + t - 50. What is -j(d) + 3*s(d)?\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100040198 + -26159802. Round i to the nearest one million.\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + 18*n - 92 - 4*n**3 - 14*n - 8*n**2 in the form k + v*n + y*n**3 + i*n**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11120131 - 1?\nAnswer: 11120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 27 + (-3 + 1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1930199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*u - 8771 - 6841, 2*o = u + 10421. What are the prime factors of o?\nAnswer: 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71758602 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76.39 + -76. Let c = -0.49 + f. Let q = 2 - 3. What is the closest to c in 3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let s = 1.48 - -5.22. Let r = 7 - s. Which is the nearest to k? (a) r (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100200000210 (base 3) to base 8\nAnswer: -563522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6976 times -1.13\nAnswer: -7882.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 3*l)*(-l + 0*l - l) - 11*l**2 + 24*l**2 + 52*l**2 - 3*l - l**2 + 3*l.\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459\/2 - 229. Factor -t*q + 1\/4 + 1\/4*q**2.\nAnswer: (q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2149*y**3 - y. Let w be z(1). Suppose -5*l = 15 - 85. Suppose -l*t = -2*t - w. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654523 divided by -4?\nAnswer: 654523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-315)\/(-189)*(-9)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/(56\/(-10)))\/((-1)\/676)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2 - (-262)\/132). Calculate the greatest common divisor of m and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3325, -6670, -10013, -13360, -16717?\nAnswer: -20090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 2\/3 (c) -8 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 38, 54, 86, 140?\n\"Answer: q**3 - q**2 + 2*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.08, 0.4, 5, 318?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2060981 is divided by 878?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 3. Determine q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/27 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17670 + -17669.9979739. Round d to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -16 + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -26*x**3 - 14*x**2 + 104*x + 1319. List the prime factors of a(-12).\nAnswer: 53, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2620*l - 2*l**2 + 1312*l + 1308*l + 9890.\nAnswer: -2*l**2 + 9890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*m - 27, 2*r - m = 2*m - 1. Suppose 0 = 4*c, -r*f = -f - 5*c - 6. Let k(s) = -s**2 - 2*s - 1. Give k(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/14 (b) 37 (c) 1 (d) 4 (e) -91\/6 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 2\/23 (c) 1\/5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16653924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u - u - u)*(2 + 3 - 4) + 3 - 3 - 2*u)*(-7 + 29 - 8).\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 54*f**3 - 6*f**2 + 2*f + 13. Is r(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let a(r) be the second derivative of r**4\/3 - 3*r. Calculate y(a(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10042592*c**2*f**2 - 18032268*c**2*f wrt f?\nAnswer: -20085184*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r - 5*r - 2*r + 9*r - 2*r**2 to m*r + i + n*r**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 93307 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 49*l\/2 - 2401\/4.\nAnswer: -(l - 49)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 233, 461, 769, 1151, 1601?\nAnswer: 2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 558369, 1116735, 1675111, 2233503, 2791917?\n\"Answer: y**3 - y**2 + 558362*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*g + 296*g + 3*u = 150*g - 67, g = -9*u - 188 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4645*y - 139409. What is j(-30)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 17*s**2 - 23*s - 93. Let y be o(-18). Put y, 5, -4, 7 in ascending order.\nAnswer: -4, y, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056426 divided by -7.\nAnswer: 150918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -16 - 8) + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.0703.\nAnswer: -0.0703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/(3\/135*-3). Let z be (v\/(-4) + 3 + -2)*10. Let x(w) = -w**2 + 9*w - 3. Let f be x(8). Calculate the highest common factor of z and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46193116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 17 + 8)*6\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14214220.\nAnswer: 2, 5, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 7:54 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694*k - 36 = -1695*k + 4*g, 0 = -4*k - 2*g + 36. What is the remainder when 16 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8943 and -0.03?\nAnswer: 268.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -9, -18, -35, -66?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -207, -209, -211, -213, -215?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -9.9. Let s = -13 + l. Let k = 0 + s. Sort k, -0.5, 4.\nAnswer: k, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 4\/3, 641, -8, 10, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 11*g**2 - 9*g + 2. Let i be q(10). Let w be 15\/i*8\/1. Suppose 5 = 4*z - p - w, -4*p = -3*z - 5. Solve z*n + 16 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -7. Let t be c - 5 - (-12 + 0). Let f = t + -9. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267958511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 360, -147, -7 in decreasing order.\nAnswer: 360, -7, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 7 + 7. Let s be k\/((-14)\/4) - 2. Let x(p) = -p**2 - p + 119. Is x(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/4 - w**4\/4 + w**3\/6 - w**2 - 5*w. Is x(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**3*y**2*z + 5*w**3*y**2 + 641*w**3 + 2*w**2*y*z + 21*w**2*z + 1275*y**3*z wrt y.\nAnswer: 4*w**3*z + 10*w**3 + 7650*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 + 4*l - 5*l**2 - 4*l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 9*z - 8. Let j be q(7). Let o = -1 + j. Let b = -5 + o. Solve b = 4*a - 0*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6465347, -1 in descending order.\nAnswer: 6465347, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:18 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-119) + (-38)\/(-14). Let i be (-66)\/80*(-2)\/g. Let w = i - -1\/20. What is the closest to 2 in 6, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p = -780*p + 185*p - 6147 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 196*m**3 - 2280*m**2 - 5852*m + 8330.\nAnswer: -2*(m - 1)*(m + 7)**2*(m + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -11*b**4\/4 - b**3 + 3*b**2. What is the hundreds digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29804 is divided by 281?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -1220?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - f**2 + f**2)*(1 - 7 + 2) + 3*f**2 + 0*f**2 + 2*f**2 + 3*f**2 - 10*f**2 + f**2 in the form a + r*f + q*f**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 18 = 2*a, 3*a = -k + 2*a + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3760552583.\nAnswer: 29, 61, 229, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*a + 27, 0 = 2*a + x - 14 + 4. Suppose 0 = -414*l + 515*l - 404. Solve 4*p + a = -o, o - l*o = 4*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, -2, -431, 2\/13.\nAnswer: -431, -2, 2\/13, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31\/163 + -21289\/112796. Let u = 4329\/2768 - s. Find the common denominator of -85\/2 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05530060476 to 6 decimal places.\nAnswer: -0.055301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (195\/26)\/(-2 + 1)*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-0.1199467.\nAnswer: -1.7992005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*q - 30, 4*m = -5*q + q - 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-9\/7)*g))\/((g\/g**(2\/9))\/g))\/(g*g**10*g**(2\/19)*g))**(1\/54) assuming g is positive.\nAnswer: g**(-12685\/64638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**3 - 14*k**2 - 10*k**2 + 24*k**2 - 54*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = -12. Let s = -7 - -2. Sort q, s, 5 in decreasing order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*i + 6*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -db2 - 4?\nAnswer: -db6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-14924))\/((-10)\/(-40)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or 1\/195?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 610 or 0.5?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, -81\/419, -9, -1\/10?\nAnswer: -81\/419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 2*d - 3. Let s(c) = -3*c**2 + c**2 + 5*c - 7 - 3*c**2. Let t(v) = -7*k(v) + 3*s(v). Determine t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 6:38 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/15 + 1\/(-3). Let p be 1*2*(-1)\/(-2). Suppose -p = -b + c. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.311 and 228.1.\nAnswer: -1211.4391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-2\/9))\/h))\/(h*h**9*h))**(-24) assuming h is positive.\nAnswer: h**(736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18467492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -19*t + 17. Let z(i) = -4*i**2 - 5. Let m(j) = -7*j**2 - 10. Determine t*m(l) - 5*z(l).\nAnswer: -l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*g = -657 + 127, 4*a + 3*g = -2125. Let w = a + 4175\/8. Calculate the common denominator of w and -97\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56 (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7422 is divided by 256?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 169.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 16*b - 11*b - 12 + b + 12 + (-b - 3*b + 3*b)*(-3 - 1 + 2) - 51 + 51 - 10*b)*(2*b - 2 + 2) as r*b + c*b**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3728128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 35\/2, 2.\nAnswer: -0.4, 2, 35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/559 and 35\/43.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 + 8\/13.\nAnswer: -2*(h - 2)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let l(d) = -d - 1. Let x(o) = -2*o - 3. Let h(f) = -3*l(f) + x(f). What is -g(z) - h(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 2, 4, -7, -4 in increasing order.\nAnswer: -7, -6, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1108575\/2 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -1125*n - 42 - 5\/3*n**3 + 75*n**2. Factor q(p).\nAnswer: -5*(p - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/51)\/x)**5 assuming x is positive.\nAnswer: x**(-265\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 257270 - 132494102\/515. Find the common denominator of b and 99\/4.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 4 + 1\/3*s**5 + 0*s - 7\/2*s**2 + 7\/8*s**4 + 2\/3*s**3. Let r(q) be the second derivative of l(q). Factor r(i).\nAnswer: (4*i + 1)*(5*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21947?\nAnswer: 21947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303403 (base 6) to base 16.\nAnswer: -5e3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5480889*h - 11591207?\nAnswer: -5480889","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0532 - -1.0532. What is the closest to u in -2\/7, 2\/313, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22916.48 rounded to the nearest one hundred?\nAnswer: -22900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.8, -0.093, -7, 26\/5, -4, -3?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -48 (c) 1\/700 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.462 - 0.182. Let w = 1.12 - r. Let m = 0.04 - w. Round m to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 1, q: 2, v: 2, z: 2}. What is prob of sequence qqvz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 39.8. Let x = -1195\/9 + 133. What is the biggest value in x, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and -151\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 2480*u - 768800 = 0. Calculate u.\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(315)*1)\/sqrt(9) - -2*sqrt(35)*3)\/(sqrt(70)\/(2*sqrt(1440) + sqrt(1440)))*-1.\nAnswer: -252*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4868625*w**3 + w**2 + 31111*w - 17.\nAnswer: -29211750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49 and 229.3.\nAnswer: 180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -803.3*35507.\nAnswer: -28522773.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -312, -316, -322?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w - 5708 - 5621 + 11336.\nAnswer: 26*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(1 + -2)*-1. Suppose -4*i = -x*i. Let q = -5 + 5.1. Which is bigger: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 3, -2, 125694 in ascending order.\nAnswer: -11, -2, 3, 5, 125694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2799 and 6?\nAnswer: 16794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (82\/6 - 1)*3. Let k(q) = q**2 - 3*q + 4. Let p be k(3). Suppose -p*r = -10 - c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1309976064 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + 6727?\nAnswer: 6746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 6*s + 1. Let g be j(7). Suppose g*f - 287 = 73. Suppose -2*w + 3*d = -129, 2*d - f = -w - 3*d. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 13. Let h be z(8). Solve -4*b = b + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/(40\/40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/(7 + (1011\/216)\/((-92)\/138)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1746411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-210) - 3*(-4)\/36\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95\/7 - 502\/21. Let c = 397\/39 + h. Suppose 0 = 5*o - 5, -4*i - 1 = 2*o - 7. Sort -2\/7, c, i.\nAnswer: -2\/7, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77722 is divided by 10737?\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20557 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 5*sqrt(153)*1 - ((sqrt(153) - sqrt(153)*-1)*1 + sqrt(153)))\/(((sqrt(63) + sqrt(126)\/sqrt(2))*4)\/sqrt(7)))**2.\nAnswer: 153\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -117. Solve 2*j + 3 + p = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3481 (b) 20\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3019.\nAnswer: 2\/3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2873.522 - 1729.\nAnswer: -4602.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11397?\nAnswer: 3, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + -2.4. Let h(k) = k**3 - k + 13. Let q be h(0). Suppose -5*u + 21 = -n + 49, -2*u = -n + q. Sort -0.3, b, u in ascending order.\nAnswer: u, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:48 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 25. Let t be p(-5). Solve t*y = y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5097.91227 - 0.2.\nAnswer: -5098.11227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 810755 and 2.39.\nAnswer: 810757.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, f: 3, j: 4, l: 2}. Give prob of sequence lej.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -409, -400, -247?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1 - (3 + 5)). Let d = -1.1 + 1.15. What is the nearest to 0 in d, -5, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1065)\/45 + 23)*-33\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7625788 divided by -38\nAnswer: -3812894\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 1, -12 in increasing order.\nAnswer: -12, -5, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/14)\/(155\/217). Let x = -3.6 + 3.9. Sort c, x, 16 in ascending order.\nAnswer: c, x, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j - 15*j - 5 - 5*j + 40*j - 7*j to g*j + b and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 4, b: 3, i: 1, c: 3, r: 6}. Give prob of picking 1 c and 1 r.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -64 - -58 - -2*7. Let m(w) be the third derivative of 0*w + 0 + 13\/3*w**3 - 19\/24*w**4 + q*w**2. Differentiate m(p) wrt p.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 622*y + 4*y**3 + 614*y - 1236*y + 133*y**5 + (-4*y**2 + 2*y**4 + 4*y**2)*(-2*y + 5*y + 0*y).\nAnswer: 139*y**5 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 34. Suppose 4*l - m + 10 = 0. Suppose -3*i = -l*i + 39. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 853 + -727.4. Let u = -1084 + 969. Let x = f + u. Round x to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -72*r + 3. Let x(m) = -217*m + 10. Let t(s) = -7*b(s) + 2*x(s). Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-24*m**2 + 5*m**2 - 9*m**2) + 1 - 1 + m**2 - m**2 - 3*m + 3*m + (-1 + 1 - 2*m)*(0 + 2*m + 0) + 17 + 17 - 16 + m**2.\nAnswer: 53*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1458) - ((sqrt(1458) - sqrt(1458)*1) + sqrt(1458)) - sqrt(1458))*-4 - sqrt(1458))\/(sqrt(27)\/(-4*sqrt(3)*-3)))**2.\nAnswer: 3359232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**1\/z)*z*z*z**(-3)*z*z*(z\/(z\/z**1*z))\/z**(1\/2) assuming z is positive.\nAnswer: z**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -5 (c) 1 (d) -4 (e) 2\/173 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**6)**(-5\/2)\/((w\/(w**(2\/7)*w))**(2\/79)\/(w*w\/w**(2\/5))**(-48)) assuming w is positive.\nAnswer: w**(-129382\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-4))\/((12210\/2960)\/((-2)\/(32\/(-2))))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 5*x + 4*x. Let l(z) = -4*z**2. Let c(p) = p**2. Let m(a) = -16*c(a) - 3*l(a). Give m(k(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33432*r = 33435*r + 66 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 2*a + 0*a + a**2 + 4*a to the form f*a**2 + k*a + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/14 and -157\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 108494?\nAnswer: 108493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4080443, -4080436, -4080429?\n\"Answer: 7*t - 4080450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9732*p**3 - 4768*p**3 - 6329*p**3.\nAnswer: -1365*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 262\/3? (a) -0.1 (b) 1\/7 (c) 2509\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1302 and 35340?\nAnswer: 247380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -69 - 2*x**2 - 87 + 156. Let a(i) = -2*i - 604. What is j(a(t))?\nAnswer: -8*t**2 - 4832*t - 729632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1163 divide 98179183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9242*q**2 - 427*q + 5. Let r(f) = 9243*f**2 - 428*f + 5. Suppose 84*m = 89*m - 10. Let x(z) = m*h(z) - 3*r(z). Solve x(i) = 0 for i.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q + 2. Let o be i(0). Sort o, -5, -2, 4 in ascending order.\nAnswer: -5, -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10 + 19 - 8 - (-1 - 15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - ((39 - (23 + 6)) + 13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 1 - 1)*(-2*u + 1 - 1)*(4*u - 3*u + 0*u) to x + k*u**3 + c*u**2 + q*u and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1914 and 3008?\nAnswer: -5757312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (31 - 90) - (12 + 3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111424 (base 8) to base 15.\nAnswer: -5dc66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1786 divided by -1786\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93174631 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1362*v + 38191. Calculate t(28).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18458144.\nAnswer: 2, 23, 31, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, 77, 454, 837, 1226?\nAnswer: 1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 44 = 0. Suppose 2*l - 5 - 1 = 0. Suppose o + 5*v = -0*v - 7, 33 = 3*o - l*v. What is the remainder when j is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r = -390 - 24. Suppose 0 = -4*y + 3*i + 1, -4*y - 3*i + 2 + 5 = 0. Put 2, y, r in decreasing order.\nAnswer: 2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*w - 19, 3 = -30*w + 27*w - 5*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16083343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:52 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(0*x + x + 2*x) - 15 + 2 + x + 2.\nAnswer: -8*x - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**3 + 32*l**2 - 57*l - 20707 wrt l.\nAnswer: 15*l**2 + 64*l - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 14*t**2 + 683*t - 67. Determine v(34).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.1?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14252488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 977*u - 9877. Determine q(11).\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3120.232 grams?\nAnswer: 3120232000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 5*d**2 - 5*d - 1. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z = k - 205, 170 = k + 2*z. Suppose -k = -22*c - 26. Solve -p = w + c, -1 = -p + 2*p - 2*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (98\/12)\/((-15)\/(-9) + -1) and (3\/36)\/((-8)\/(-732)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 2609 = 2206. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 988 - 73. What are the prime factors of u?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115\/7 - -237\/14. What is the closest to 0.064 in 3, 1\/9, p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 272. Let y(n) = 24. Let w(d) = l(d) + 12*y(d). What is w(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 - 13)\/((-2)\/(-2)). Let l be (-4 - (z - 5)) + (0 - 2). Put 4, -1, l, 3 in descending order.\nAnswer: 4, 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150 + 838*p**2 - 8911*p + 17836*p + 183*p**2 - 8916*p wrt p.\nAnswer: 2042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-276))\/((15\/3)\/30)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*g, 4*u - 4*g - 160 = 0. Suppose 27 = 10*m - 43. Suppose -4*s - m*w = -3*w - 160, u = s - 3*w. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -5) + -3)\/(58\/((17 - 81)\/8)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 9*l**2 + 2*l - 268. Give x(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 188*i + 15. Let y be v(-94). Let x(s) = -s**2 - 6*s - 3. Let h be (1 - 0) + 0 + -6. Let l be x(h). Solve l*j + y = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 - 373. Solve 9 = 61*f - v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 59*a**2 - 2 + 2)*(-17*a + 502*a + 113*a).\nAnswer: -35880*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j - 1. Let f(u) = 8*u**2 + 6*u + 8. Let i be 23\/2 - (-5)\/10. Suppose y + y - i = 0. Suppose 8*v - 2 = y*v. Determine v*f(s) + 6*o(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*q + 17441 = 10485 - 25539 for q.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 23750 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 63*c**2 + 310*c + 6709. Calculate d(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f**2. Let v(j) = -122*j. Give q(v(d)).\nAnswer: 163724*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 2*u + 0*u)*(-243 + 88 + 74) + 4 - 4 + 2*u as c + h*u and give h.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 7)\/(-2) + (-51)\/12. Let t = -54 + 273\/5. Which is the nearest to v? (a) -3 (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(15\/20)*3\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16190 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -3*z - 3, -5*z + 4*w + 17 = 0. Calculate the smallest common multiple of 3 and -5*(3\/z + -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 24 = -3*u, 0 = 2*r - 3*r - 2*u + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**(2\/15))**(14\/3) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (464 + -413 - (1 - -10)) + -3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:14 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71453666660 - -37.1.\nAnswer: -71453666622.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 2 - 2 - 2 + 2 - 2*y + (-4 + 0 + 1)*(0 + 0 - y) as x*y + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.673335675 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 871, 3, 23.\nAnswer: -2, 3, 4, 23, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*z + 1483 - 24999 = -111*z. What are the prime factors of z?\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837885833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 30*g**2 + 12. Let q be (-2)\/(-1) + 10\/1. Let z(a) be the first derivative of 4*a**3 + 5*a + 423. Calculate q*z(k) - 5*w(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = 3*b + 20944. Let a = b + 2490. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q, -2*q + 12 = -0*m + 2*m. What is d in -3\/2*d**2 - d**m - 1\/2*d + 0 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2\/8 - 60605*m\/8 + 636573\/4 = 0?\nAnswer: -60626, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132378.\nAnswer: 2, 3, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7234 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34971 (base 10) to base 5.\nAnswer: 2104341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79 - -67) + (1 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2. Let d(u) = -u**2 + u + 9. Give 2*d(n) + 9*f(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*q + 1 = 0, -y = y - 4*q - 40. Let a = y - 10. Suppose 3*x - 1200 = -5*n + 1849, -a*x - 1230 = -2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000286175 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 206677560 rounded to the nearest one million?\nAnswer: 207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (9 - -18 - 48) - -90.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81283988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282*f**2 - f - 90*f**3 + f - 638*f**2 - 733*f**3 - 645*f**2.\nAnswer: -823*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 + 2*x - 3. Let g be s(-5). Suppose -5*i + g = -73. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3500))\/(2*1*sqrt(7)) + 1.\nAnswer: -5*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038761856 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7856 bigger than 5323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 9 - 19 - w**2 - 11.\nAnswer: -w**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.3. Let w = 540\/7 - 77. What is the closest to 1\/3 in 1, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1083307, -2166633, -3249963, -4333297?\n\"Answer: -2*r**2 - 1083320*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 - (-681)\/12. Let u = d + -54. Solve 8 = 2*f, 10 - 1 = -m + u*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 209, 248, 117, -178, -631, -1236, -1987, -2878?\n\"Answer: m**3 - 91*m**2 + 305*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*o + 29*o + 4*o**2 + (45*o + 8*o - 11*o)*(4*o - o - 4*o))*(-4*o + 5*o + 1 + 0).\nAnswer: -38*o**3 - 38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 3*p + 26, 2501*m - 2502*m - 58 = -5*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 3699 - 3713 + 7412 - 2*u.\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let q be 3708\/8 - (2 - 7\/o). Is q + (18\/(-6) - (-4 + 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/3 + 12*i**2 - 205*i\/3 - 600 = 0.\nAnswer: -40, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987689793?\nAnswer: 3, 97, 3394123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 596 = -2*l, l = -4*l + 5*m + 1500. Calculate the highest common factor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 237737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 + 3*w - 1. Let l be f(-3). Let o be 1*(-4 - -2)\/2. Is -1 - o - (l + -18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*y + 330*g - 180*y wrt g?\nAnswer: 6*g**2*y + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-3))\/((-1)\/6*71\/(-568)*4)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/5)*f**(-1\/10)*f**2*f\/(f\/(f\/(f\/f**(1\/5))))*f assuming f is positive.\nAnswer: f**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 44 + 24 = 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l + 62. Suppose 0 = 4*n + 3*q - 21, 7 = 8*n - 6*n + 5*q. What is the hundreds digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57164517439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 159. Calculate the greatest common factor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5)\/(300\/360).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*y + y. Suppose -q = -2 - y. Suppose -2*m - 3*h = -q*h + 4400012, h - 2200003 = m. What is m rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 12807322?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t = 10 - 1611 - 169 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:35 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 168*u + 10500. Give v(-63).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900 by -5.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-285*n + 19*n + 36*n).\nAnswer: 460*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - 2. Let g = h + 19. Which is smaller: -9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.2, 28, -72?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**5 + t**2 - 1. Let c(n) = 3*n**5 + n**4 + 4*n**2 - 4. Let s be (-3)\/(-6)*-1*2. Let y(l) = s*c(l) + 4*h(l). Solve y(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 49864 - (3 - 6)*1. Suppose u = 7*x + 20*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -944*f*r**3 - 377*f*r**2 + 296*f*r - 34949*f + 4*r**3 + 3*r**2 - 2*r wrt r?\nAnswer: -5664*f*r - 754*f + 24*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 11*q + 17. What is the smallest common multiple of 37 and y(10)?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.11 and 36.5242.\nAnswer: 150.114462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 19*i**2 + 10*i - 61. Suppose -93 = 8*h - 245. What is the hundreds digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/350 - (-796)\/(-168)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h**3 - 193*h + 5*h - 36*h**3.\nAnswer: h**3 - 188*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -439 + 428. List the prime factors of 2*z*114\/(-76).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and 29851163531.\nAnswer: 29851163531.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajzuy. What is prob of sequence ay?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 17, -116, -11, -1 in descending order.\nAnswer: 17, 4, -1, -5, -11, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -11 (c) 7 (d) -2\/7 (e) -2\/3 (f) -3\/26 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 797306 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, h: 2, l: 4, t: 6, k: 1}. Give prob of picking 2 q and 1 t.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7390 or 8158?\nAnswer: 7390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g + g - 1 - 1. Let m(a) = -4*a - 5. Let l(p) = 2*m(p) - 5*q(p). Let n(w) be the second derivative of w**4\/4 - w. Give n(l(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 5\/6, 0.02, 2\/89, 0.0055?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 1332976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -527778*j + 3694456. Give h(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3\/4*j**2 + 3\/4 + 0*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 + 922*w - 104. What is the units digit of c(129)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -15*s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4501695 and -49\/363.\nAnswer: 49518645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 410 = 22*n - 54*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 190*-26\nAnswer: -4940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**3\/6 + o. Let u be a(-2). Let k(c) = 2*c - c - u*c. Let l(j) = -2*j**2. What is l(k(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -34. Let a(t) = 8 + 7*t + 2*t - 59171*t**2 + 8. Let v be a(x). Round v to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*o + 1557, -4*o + 0*o + 2062 = 2*w. Suppose 5*u = o - 44. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:54 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m**3 + 18*m - 18*m - 2*m**3 + m**3 - 3*m**3 + (1 - m - 1)*(-4*m**2 + 0*m**2 + m**2) as r*m**2 + h + q*m + g*m**3 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(243) + -1*(sqrt(243) - (1 + sqrt(243) - sqrt(243))) - sqrt(21)\/(sqrt(56)\/(sqrt(8) - (sqrt(16)\/sqrt(2) + sqrt(8))))).\nAnswer: 6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 58?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4260 and 3577335?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.507 to 2 dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 31*y - 2*y**3 + 1 + y**2 - 2 - 2*y**2 - 2*y**3 as m + v*y**2 + l*y**3 + n*y and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385208, 385207, 385206?\nAnswer: 385205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, 239, 522, 801, 1076, 1347?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, 2054, -4 in decreasing order.\nAnswer: 2054, 2\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18713624.\nAnswer: 2, 467, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.41 + -81.41. Which is the closest to 0? (a) -1\/5 (b) m (c) -4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2511\/4 + -632. Let x be (16\/12)\/(4*1\/6). What is the common denominator of 4272\/(-72)*((-63)\/30 + x) and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -182. Let c(r) = 4*r**2 - f*r - 238 + 238. Let x(u) = -2*u. Give x(c(h)).\nAnswer: -8*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (940\/(-50))\/((-2)\/80). Let k = y - 402. Suppose -3*l + 138 = 5*x - 272, k = 4*x - 2*l. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 357546213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2*b**5\/5 - 27*b**4\/2 + 58*b**3 - 89*b**2 + 60*b + 239. Factor m(w).\nAnswer: -2*(w - 1)**3*(w + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 92 = 4. Calculate the greatest common divisor of u and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*p + 5*z - 32 = 425*p, p + 7 = z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 793183993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 3309 + -3213. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/13)\/l*l**(-3)*(l\/(l*l\/((l**(1\/3)\/l)\/l))*l)**(-4) assuming l is positive.\nAnswer: l**(110\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5836 - 2?\nAnswer: 5834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7 - 1.7. Let m = s + 17. Let q = m - 13. What is the smallest value in 4, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Suppose x = 5*l + 2*q + 6, l - 6 = -3*l + 2*q. Let 1\/4*k**4 + 3\/4*k**3 + 1\/4*k + 3\/4*k**2 + l = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 28941?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/(-20) - 6)*4\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-900)*9)\/(4\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 600 - 255. List the prime factors of p.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*p**4 + 2*p**5 - 17*p**4 + (5 - 5 + 5*p**3)*(-1 - 4*p**2 + 1).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 9 + -3 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977 is divided by 816.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*0.0152\nAnswer: 0.02584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 4*f**3 - 3*f + 27 + 6*f to the form a*f**3 + m*f**2 + v*f + k and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 53 = 5*n, -4*n - 81 = -4*h - 33. Let i = -3 + h. Let b(r) = -r**2 + 4*r + 8. Let t be b(6). Put t, -2, i in increasing order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5 - 3 + 3*y + 10 - 4*y. What is i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101100100000111110110 - -101?\nAnswer: 1011101100100000111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*u + 96 = 62, -u = -4*a - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-10)\/(-560)*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*l + 27, -j + 1 + 5 = l. Solve -2*z - 1 - j = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - 36*r - 35*r - 14*r + 22*r.\nAnswer: -74*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539)*1*2 + -1 - (5 + (-4 + 1 + sqrt(539) + sqrt(539) - (sqrt(539)*2*3 + sqrt(539)))))**2.\nAnswer: -126*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -11343304?\nAnswer: -11343244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 8*p - 5. Let u be i(-7). Let m be (u\/2)\/(5 + -7). Suppose 0*k + 48 = m*k. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -284, -211, -124, -23, 92, 221?\n\"Answer: 7*l**2 + 52*l - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*a**4 + 11*a**3 - 7*a + 0*a**3 + 10*a**2 - 9*a**3 - 10*a**2 to h*a**3 + p*a + m + c*a**2 + n*a**4 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8249896 to the power of 1\/2, to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 - 15*1). Let m = 24004 - 23978. What is the greatest common divisor of f and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagj. Give prob of picking 2 a and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60459.21 milliseconds in hours?\nAnswer: 0.016794225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/((i*i**(21\/4))\/i))\/i)\/(i\/i**(-6)) assuming i is positive.\nAnswer: i**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-112*-8*(-2)\/12*4662\/(-8288)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - h**4 + 0*h**4 + (0*h + 3*h - 5*h)*(-h**2 + h**2 - h**3) + h**4 - 4*h**4 + 0*h**4 - 1 + 19*h + h**4 - 19*h.\nAnswer: -4*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 81*v**2 + 3*v + 81.\nAnswer: -3*(v - 1)*(v + 1)*(v + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 7*b - 23. Let n be l(10). Solve -2 = -5*z - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -23*s**2 - 18*s + 7. Let x(b) = -22*b**2 - 17*b + 6. Let d(i) = -6*l(i) + 7*x(i). What is the second derivative of d(t) wrt t?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13930 (base 16) to base 13.\nAnswer: 2a655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1837?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 1) + 76 + -81\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953077?\nAnswer: 953077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 160*z**3\/3 - 8*z**2 - 6*z + 160. What is the second derivative of g(v) wrt v?\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m + 4*m**2 - 10*m**2 + 3*m + 3. Determine k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 = -20.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 26441.1938 to the nearest 10.\nAnswer: 26440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 + 2*m + 1171 - 390 - 390.\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 10551*f**2\/8 - 10545*f + 21086.\nAnswer: -(f - 10543)*(f - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 102. Let a(y) = -8*y**3 - 72*y**2 - 103*y - 56. Let v be a(-8). What is the greatest common factor of v and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1936 = z, 3*z - 10*n = -9*n + 5792. Let m = z + -1185. What are the prime factors of m?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128.0503 - 89.7576. Let w = 0.6027 - r. Let o = -5.39 - w. What is o rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 7 + 13 - 6 + 2*g**2 + 3*g**3. Determine r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/12 - 25*v**4\/24 - 10*v**3\/3 + 33*v. Let m(l) be the second derivative of p(l). Differentiate m(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 - 128?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -274, -377, -556, -817, -1166, -1609?\n\"Answer: -h**3 - 32*h**2 - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:09 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 3*i**2 + 2*i - 4. Let l be p(3). Let k be (10 - 11)*l\/2. Let y be -1 - (-126002)\/((-2)\/k). Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from qguqgweuuexuux?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769598 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1595*b**3 + 27113*b**2 + 55*b - 336. Give k(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/252 - i**7\/45 - 19*i**6\/360 - 5*i**5\/72 - i**4\/18 - i**3\/36 + 25*i**2. Let t(c) = 0. Calculate c.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.83 times -0.3\nAnswer: 0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430158 times 3?\nAnswer: 1290474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*u + 31 = -2*m, 5*u = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2941, 5717, 8493?\n\"Answer: 2776*j + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*43\/(8901\/(-644))*(-15)\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.77330228 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -154?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40\/39 + 9\/13. Which is the nearest to 2? (a) v (b) 2 (c) 6.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63693 and 2079.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (122 + -138) - -73\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b - 3 + 1 + 10*b)*(-5 + 3 + 4)*(0 + 3 - 2) as p + y*b and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134) - sqrt(1134)*3)*6)\/(sqrt(112)*-3*-4 + sqrt(112)).\nAnswer: -27*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, b: 2, p: 1, w: 5}. What is prob of picking 1 b and 1 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 245033 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*m**3 + 18*m + 661.\nAnswer: -36*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441616 (base 7) to base 6.\nAnswer: 1354414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 58. Let p = -1510 + 1555.5. Let d = p + n. Put -5, d, -1 in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-42 - -37) - (9 + -4 + 1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Suppose -w*n = 3 - 17. Which is greater: 6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 4440.\nAnswer: 48840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*a**2*s**3 - 2*a**2*s**2 - 248*a**2*s - 13503*a*s**3 wrt a.\nAnswer: -70*s**3 - 4*s**2 - 496*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -2\/21, 2, 8689, -1\/7, 4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -37, -61, -85, -109?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2009 - 2005. Solve d + z*c = -0*c + 4, 3*d - 4*c - 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158232\/(-10488) - (-2)\/23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-176)\/(-72) + 16\/(-36). List the prime factors of (2184\/t - 4) + 8.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 3. Suppose 152 + 192 = 4*d. Let p = -20 + d. What is the greatest common factor of i and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1411?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15429211.\nAnswer: 7, 2204173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:42 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2405 * 2.82003.\nAnswer: 0.678217215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102370149 and 15309.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*n - 400*n - 2*n**3 + 202*n + 11*n**2.\nAnswer: -2*n**3 + 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 39. Let k be j(0). What is the units digit of 12\/(-18)*k\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 2697.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/192360 and 50\/861?\nAnswer: 7886760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1297, -5213, -11749, -20899, -32657, -47017, -63973?\nAnswer: -83519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/12))\/(s*s**(5\/7)\/s*s) assuming s is positive.\nAnswer: s**(-67\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddoopd. Give prob of picking 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.342 and 0.111.\nAnswer: -0.037962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 + 10*g**2 - 140*g - 425. What is a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (7 + -3 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-24)\/(-36))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006741504 to 6 decimal places.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 551260.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 14*b - 495. What is the remainder when b is divided by (18\/(-4))\/(6\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-234)*(-3 + 0). Let d = q - -4\/39. Let t = 274\/3 + -91. Which is the second biggest value? (a) d (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 3. Let o be p(6). Calculate the remainder when (-3138)\/o - 6\/27 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l**2 - 5*l**2 - 8*l**2)*(0*l - 5*l + 2*l) + (2 + 0 - 4)*(-2 - 3*l**3 + 2)*(5 + 0 - 3) as n + y*l**2 + f*l**3 + z*l and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1048.9685572 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -17676.7 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 145920 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/190*6)\/(((-32)\/60)\/(-2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 5. Suppose 0 = -4*j + 1 - 137. Let n = j + 50. Calculate the remainder when n is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -3 - -9 - (6 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -30*g**2 - 1225*g + 1225*g. Let t(f) = f**2. Determine t(q(o)).\nAnswer: 900*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52893 + -141893. What is j rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/25, -20, -240893, -5, -1\/4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/486*(-1168)\/876*9*1\/4?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228307632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 545519 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*-20*9\/(-1620).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.123, 5, -0.3?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + (9 - 12)) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/4)\/(u**8\/u*u)*((u\/(u*u*u*u\/((u*u*u\/u**(-3\/4))\/u)*u*u))\/u)\/u*u\/(u*u*((u*u**(2\/17))\/u*u)\/u*u*u))**(2\/9))**(-12) assuming u is positive.\nAnswer: u**(1988\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-12)\/s)*s*s*(s*s**(3\/4)*s)\/s)\/(s\/s**(-1\/35)*s**7) assuming s is positive.\nAnswer: s**(1221\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 35*q**2 - 20*q + 11. Let i(s) = 12*s**2 - 7*s + 4. Let u(h) = 8*i(h) - 3*m(h). Let g(t) = -t. Determine -5*g(n) - u(n).\nAnswer: 9*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.0147, 598\/175, 1\/2?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2042, 0.1, -3, -1.28, -4 in decreasing order.\nAnswer: 0.2042, 0.1, -1.28, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(405) - sqrt(405)*-4)**2 - sqrt(405))*4 + -2 + sqrt(720)\/sqrt(9).\nAnswer: -32*sqrt(5) + 40499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 361?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 170745 + -100?\nAnswer: 170645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3 + 14036344*o**2 - 28072694*o + 14036348 = 0.\nAnswer: -7018174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 24431.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 2792008 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 8. Let c be (-6)\/33 + 4 + 9\/(-11). Suppose -l + c = 11. Give a(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, 0.06, 0.1, -0.5 in descending order.\nAnswer: 1, 0.1, 0.06, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 16 = -2*r + x, -x = 0. What is the lowest common multiple of 9 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.25 * -2\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -504, -801?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*y**3 - 1833*y**3 + 334*y**3.\nAnswer: -1321*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + -71. Let d = a - -36. Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69111 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-20)*7\/14\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5840 and 203670?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 15, 87?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15168*r**2 - 30405*r**2 + 15238*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/3 + 1016*a**2\/3 + 42670*a - 86700 = 0.\nAnswer: -255, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 143010 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = 0, -3*a + 9*w = -a + 4*w - 31 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-21) + 589\/57 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.2 - 23. Let x = t + -2. Let n be (-2)\/10*-1 + 0. Which is the nearest to x? (a) 1 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 13*x + 14. Calculate c(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 52. Which is the nearest to p? (a) -2\/13 (b) -0.5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/10 + a**4\/4 - a**3\/6 - a. Let l be j(2). Let b = l - -11. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 6, u: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2755309, 2755315, 2755321, 2755327?\n\"Answer: 6*q + 2755303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**3 - 6*b**2 - 21*b - 2. Let u(s) = 15*s**3 + 11*s**2 + 42*s + 4. What is -6*u(i) - 11*w(i)?\nAnswer: -2*i**3 - 21*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + a + 1 + (-5 + 5 + 5*a)*(-5 - 3 + 6).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 2, r: 2}. What is prob of sequence mm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**5 + 7*o**4 - 35*o**2 + 2683*o + 10. Let i(k) = 6*k**2 + 2*k - 2. Let f(t) = b(t) + 5*i(t). Find the second derivative of f(n) wrt n.\nAnswer: 160*n**3 + 84*n**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, -32, -103, -200, -323, -472?\n\"Answer: -13*c**2 - 6*c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u - 1446. Let f(q) = 15*q - 2924. What is 6*f(w) - 11*l(w)?\nAnswer: 2*w - 1638","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110378244 to the power of 1\/3, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 43. Let m be ((-5)\/(-1))\/(b\/35). Suppose 0 = 15*s - 20*s + m. Solve s*g = 15, -4*q - 12 + 2 = 2*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 20.82374 minutes?\nAnswer: 1249.4244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from {k: 8, o: 6, l: 1, i: 3}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from {k: 12, m: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201503 is divided by 1492?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33176, 65805, 98434, 131063, 163692?\n\"Answer: 32629*x + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:23 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 412 in descending order.\nAnswer: 412, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 31 = -3*l. Let g = l - 11. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 717 in descending order.\nAnswer: 717, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(3\/2 + 15\/30). Determine l, given that -52*l**4 + 0*l**3 - 29*l**3 - 7*l**3 + a*l**5 - 20*l**3 = 0.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0*y**5 + 0 + 0*y**3 + y - 1\/21*y**7 + 0*y**6 + 0*y**2 + 0*y**4. What is k in w(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1065970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77572 = -109*d + 23*d. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 + 0 = 0. What is the units digit of 1\/y - (-66)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5910366*g**5 - 1266*g**2 - 1873*g wrt g.\nAnswer: -354621960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22084221, -22084208, -22084195, -22084182, -22084169, -22084156?\nAnswer: -22084143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (664\/(-24))\/((-24)\/(-9) + -3). Suppose n = 2*r - u, 3*r - 8*u + 4*u = 137. Suppose -7 + r = 16*m. Which is greater: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47667 + 655*w + 47667)*(-1 - 2 + 2).\nAnswer: -655*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (0 - 10 - 7) - (1 - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22536 - 22541. What is the nearest to 3\/4 in 14, -0.04, u, -2\/11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*4 - (-2*sqrt(13) + -2).\nAnswer: 2 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 10. Let l be r(-11). Suppose 14 = w - 4*c, w + c + l = 5. Let v(p) = w*p - 7*p - p. Let t(d) = d. Give t(v(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 163.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*n**2 - 30*n**2 + 66*n**2)*(2*n**2 + n**2 + n**2 + 0*n**2).\nAnswer: 336*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.5, 18\/83, -3.\nAnswer: -3, -1\/9, 18\/83, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*f - 1. Let a be f\/7 - (-2)\/14. Let h be (8\/12)\/(-2*1). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6008129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -365?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052868629 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16630563 (base 7) to base 2.\nAnswer: 110001111110110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2869 - -5707. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33421 times -0.0022\nAnswer: 73.5262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 3*h**5\/20 - h**3\/6 - 3*h**2\/2 + 14*h. Let k(o) be the first derivative of s(o). Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(1088) + sqrt(1088) + 1 - sqrt(1088)) + 4*((sqrt(1088) - sqrt(1088)*2 - sqrt(1088)) + 1))*-3 + 1)**2 + -1.\nAnswer: -1344*sqrt(17) + 1919235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 4*i + 164. Calculate the remainder when x(5) is divided by 197.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -24 + (-2)\/(-8)*0. Let w be i\/(-105)*(-20)\/8. Let n = 197\/5 + -39. What is the closest to 1\/3 in 4\/5, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5548 + 37?\nAnswer: 5585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in 187\/4, -46, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 96927284.\nAnswer: 96927284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2002 and 22558510.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1521 - -1562. Let o = -17 + -20. Let s = o + q. Solve 6*h + r = 2*h - 17, s*r = 4*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) -0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 + c + 5. Determine g(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*y = 6, 41*t - 6 = 39*t - 5*y. Let m(d) = -8*d - 2*d**2 + d**2 - 2 + d. Give m(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u - 38. Suppose 2*x - 19 = j, -2*j - 41 = 2*j - x. Let l be n(j). Calculate the greatest common factor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 7*b + 9. Let x be u(9). Let g be (x - -7)*14\/(-4). What are the prime factors of g\/21 + (-130)\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -82, -2\/113, -5, -1\/15?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157664 and -1.68.\nAnswer: 264875.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 + -177. What is the least common multiple of 22 and q?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147447328 to the nearest integer?\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*j**4 + 0 + 3\/8*j**3 - 3\/2*j + 3\/2*j**2.\nAnswer: -3*j*(j - 2)*(j - 1)*(j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23865*b*j**4 - 319*b*j**2 + 2*b*j - 167*j**5 - 87*j**2 + 2*j wrt j?\nAnswer: 572760*b*j - 10020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 13*l**2 - 7*l + 76. Calculate the lowest common multiple of j(8) and 374.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7960, 14728, 21496, 28264, 35032, 41800?\n\"Answer: 6768*d + 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**4 - 48*p**3 - 3*p**4 - 183*p**3 + 23*p**2 + 25*p**2 - 50*p**2 - 2*p to l*p**2 + s*p + z*p**3 + x + q*p**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189612277 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -326.\nAnswer: -195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**3 - 55*c**2 - 50*c - 15.\nAnswer: -5*(c + 1)**2*(4*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7 = -3*d, 5*d = -0*d + 2*w - 33. Sort 3, 0, d in increasing order.\nAnswer: d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6499 + -528.1198944.\nAnswer: -526.4699944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/91 and -7 + 2 + (2940\/(-176))\/(-5)?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let j = -6 - -6.3. Let l = 0.1 - j. Sort l, b, -4 in ascending order.\nAnswer: -4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -1, -6 in descending order.\nAnswer: 1, -0.2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.03, -2\/5, 202, -495?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + u = -26, -2*l = 5*u - 5. Suppose s - l*s = -196. Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*12\/(360\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16468485.\nAnswer: 3, 5, 11, 99809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 32 = 73. Let f = 2997 - 2983. What is the greatest common factor of f and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-three quarters of a week?\nAnswer: 2226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40058, 40060, 40062, 40064, 40066, 40068?\n\"Answer: 2*b + 40056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -197*b - 769. Let z be l(-4). Solve g + 3*x - 1 = 0, -z*g + 0 = -5*x + 43 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 10*p - 4 = 0. What is the hundreds digit of ((-36)\/(-16))\/(-9) - 537\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -11*i - 3*i. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t = -31*t, 0 = -4*i + 5*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v**2 - 44 + 5*v - 8*v + 34 - 9*v - 2*v**3. What is the hundreds digit of k(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 519 = 3*j + 1925, 3*j - 2426 = -x. Let m = x + -1704. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:21 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7030639*h**3 - 11317008*h**2 wrt h.\nAnswer: -42183834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.524 - -1.524. Which is the nearest to -159? (a) x (b) 2 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o + 7. Give k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -116, -15, -5, 0, -0.3 in increasing order.\nAnswer: -116, -15, -5, -4, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.2, 1\/10, 35\/29, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-50)\/(-5) - 1368\/126)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403560 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*k**2 - 1838*k + 40.\nAnswer: -2*(k + 20)*(46*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/460 and -31\/38364.\nAnswer: 191820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677227 to the power of 1\/2, to the nearest integer?\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*d*g**2*x**3 + 14453382*d*g**2 - 2*d*g*x**2 - 2*d*x**3 - 2*d*x**2 - 139*g*x**3 - 65*g*x**2 + 43*g wrt g.\nAnswer: -50*d*x**3 + 28906764*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*y**2 + 267*y**2 + 273*y**2 + 275*y**2 - 1092*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, v: 3}. What is prob of sequence vc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1425858*w**2 + 5688395?\nAnswer: 2851716*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -899\/42 - -125\/6. Suppose 0 = -4*s + 20. Sort 1\/11, s, x.\nAnswer: x, 1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -488 * -11.\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:29 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 25*s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/105 + 2*c**6\/15 + 227*c**5\/60 + c**3\/6 + 47*c**2 + 2*c. What is the third derivative of b(z) wrt z?\nAnswer: -48*z + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 11) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zecj when four letters picked without replacement from cjuzzezcczzzjujzczz.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-770)\/(-44))\/((-2)\/(-24)). Let m = 214 - a. Solve 1 + 4 = f, m*f = 2*u + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 1 = -18*y. Suppose -5*z + 20 = 0, 3*l - 11 = z - 3. Suppose -l*a - y = 15. Sort 2, -1, a.\nAnswer: a, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -s*t = -0*t + 5*l - 38, -3*t = -5*l - 28. Let b(v) = -5*v - 4. Calculate the smallest common multiple of b(-3) and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = w + 1, -10 = -5*w. Suppose 5*m - 45 = t, 2*t - 6*t = s*m - 4. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {e: 3, h: 1, i: 1, m: 1, y: 3, n: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 2, h: 1, y: 1}. Give prob of picking 3 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.15 (b) 0.2 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-672*m + 3181*m + 602*m + 846*m)*(2*m**2 + 4 - 4) to r*m**2 + w + b*m**3 + y*m and give b.\nAnswer: 7914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6175\/584 + -15\/292. Let q = 82627130 + -1818129689\/22. Let h = -15125 - q. What is the common denominator of f and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:18 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -2\/5, 0, -1\/5, 2, -6.98?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1578*p**4 - 40 - 2*p + 32 + 1638*p**4 + (-p**3 - p**3 + p**3)*(p - 5*p + p) in the form w*p**4 + i*p + o*p**3 + c*p**2 + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2602746*d**4 + 5*d**3 + 30971928*d**2 wrt d.\nAnswer: -62465904*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-3*sqrt(44) + sqrt(44))**2 + (sqrt(132)\/(sqrt(12) - -1*sqrt(12)))**2*5 + 1.\nAnswer: 755\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32723508 and 25?\nAnswer: -818087700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/189 + 38\/27*3. Let z be (q\/5)\/(11\/1540). Calculate the highest common factor of 56 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 10. Let v be r(5). Suppose 0 = 2*h - m - 11, v*h = 3*m - 2*m + 32. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 1071, 2349, 4057, 6147?\nAnswer: 8571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4.8. Let b = q - 0. Are -1\/2 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*p = 3 - 11, 2*p - 6 = -3*a. Suppose u**a + 1\/3 + u + 1\/3*u**3 = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6319 + 138329. Suppose 7*p + 158256 - c = 0. Round p to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -294, -296, -294, -288?\n\"Answer: 2*i**2 - 8*i - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21613916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332913.\nAnswer: 1332913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 4*o - 2*o + (-7 + 2 + 0)*(3*o - 2*o + 3*o).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + z = 51173, 2*q - q + 3*z - 12774 = 0. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110111010010 (base 2) to base 7\nAnswer: 112040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7380*t**4 + 3*t**2 + 2*t + 1229.\nAnswer: 177120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310 - -313. Let o(i) be the first derivative of 0*i**2 - 7*i - 2\/3*i**b - 6. Let u(q) = q**2 + 3. What is 3*o(j) + 7*u(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o. Let m(l) be the first derivative of l**3 + 5. Give y(m(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 18*x - 35. Is f(21) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 12. Let p = 162 - 179. What is d(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**4\/8 - 13*d**3\/3 - 35*d**2. Let h be k(8). Sort -1.3, h, -4 in ascending order.\nAnswer: -4, h, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6434 or -3187?\nAnswer: -3187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/38)*r)\/(r*r*r**(6\/11))*r\/r**(-2\/13)*r\/r**(6\/7) assuming r is positive.\nAnswer: r**(-10463\/38038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2296*-1.5555\nAnswer: -3571.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 916831 + 37*b - 916831 + 43*b. Let f(o) = -2*o**2 - 4. What is y(f(x))?\nAnswer: -160*x**2 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2544 divide 308540083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**8\/t*t)\/t)**(-2) assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1347 (b) -3 (c) -2 (d) 0.1 (e) -1\/7 (f) -4 (g) 66\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from fffffttftfffff?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3357516 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -31. Suppose -1004 = -4*z - o*b, -4*z - 5*b + 1008 = -0*z. What are the prime factors of z?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2\/3*b**6 + 0*b**2 + 0*b**4 + 1\/3*b**3 - 4 + 0*b**5 + 0*b. What is the third derivative of q(w) wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11143318841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(2\/83)*g)\/g**(19\/5))**(-47) assuming g is positive.\nAnswer: g**(16074\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/57))\/(f*(f*f*f**(4\/35))\/f) assuming f is positive.\nAnswer: f**(-2258\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5491*d + 125. Let j(h) = 2746*h + 50. Calculate -5*j(k) + 2*v(k).\nAnswer: -2748*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414166.5um to millimeters.\nAnswer: 414.1665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a0 + 4?\nAnswer: 5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -85, 4\/5, -2\/15, 1 in ascending order.\nAnswer: -85, -2\/15, 4\/5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, 11.336, -96, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c - 7775*c**3 + 5*c + 3280 + 5571 - 2853 wrt c?\nAnswer: -23325*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7828852*g**3*w**2 - 2*g**3*w - 5*g*w - 104*g + 141*w**2 wrt g?\nAnswer: -46973112*g*w**2 - 12*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let w(s) = 42 + 6*s**2 - 33*s**2 + 35 + 26*s**2. What is a(w(v))?\nAnswer: -v**4 + 154*v**2 - 5929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -71. Let a be -2650 + b\/(-1) + 6. Is 3\/(2*(-4)\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(2\/7)\/k)*k**8)**30 assuming k is positive.\nAnswer: k**(2250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:44 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzzzzzzzzzzvzvvzzz. Give prob of picking 2 v and 1 z.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-35))\/(7408\/(-722280))?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -265, -418, -585, -766, -961, -1170?\n\"Answer: -7*d**2 - 118*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + 4*q - 2*q)*(-2 - 1 + 2) + (2*q - q - 2*q)*(1 + 0 - 2))*(-6*q**2 + 2*q**2 - q**2).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 62. Suppose 6556 - 848 = 242*r - 5666. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {q: 1, g: 1, j: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 265, 292, 335, 394?\n\"Answer: 8*x**2 + 3*x + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 2. Let j be d\/5*(-3 + 8). Let n be ((-10)\/(-4))\/(-5)*-8. Calculate the highest common divisor of j and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*h + 1401*h - 28543 = 0 for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + j**2 - 2*j - 5. Let k(d) = 1412*d**3 + 10*d**2 - 24*d - 60. What is -k(q) + 12*x(q)?\nAnswer: -1388*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -181b77 (base 15) in base 12?\nAnswer: -485341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 5*d + 22, 5*x - 15 = 4*d. Let p(r) = r**3 + 4*r**2 - 6*r - 4. What is p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -74.2, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13*r*r\/(r\/(r**(-2\/11)\/r*r)) assuming r is positive.\nAnswer: r**(152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + j)*(-2 - j + 2) + 3*j**2 + j**2 - j**2 + j - j - j**2 + (2*j - 2*j - j**2)*(-2 + 0 + 0).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-20)\/(-6). Suppose -m = -3*m - 4*r + 20, 0 = -5*m + 3*r - 15. Suppose m = f + 5*d, -2*f + 9*d - g*d = -45. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 4697 = -55*n + 6465 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-117) - 232\/(-9). Let x = 2 + m. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.33 and -37137958.\nAnswer: -37137958.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -287 - -162. Let t = 123 + x. Put -5, t, 5, 1\/9 in decreasing order.\nAnswer: 5, 1\/9, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i**3 + i - 1. Let z(d) = -1 + 2*d - 2*d**3 + 6*d**3 + 10*d**3 - 1. Calculate -8*n(l) + 5*z(l).\nAnswer: -2*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-76)\/57)\/4)\/((-3)\/(90\/(-245))).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -18. Let l be (-225)\/(-33) + (-2)\/r. Let p = l + -4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*4 - (-4)\/(-2). Let d be 4 + -4 + m\/8. Which is the smallest value? (a) 5 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*10\/150.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 7, l: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 78*j**3 + 4. Let m be 88\/24 - (-4)\/(-6). Let c be v(m). Differentiate 11 + 0 - 2130*h**4 + c*h**4 with respect to h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378*s**2 - 68*s - 2?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {v: 3, j: 1, s: 1, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-45)*-5)\/((-1)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1240 (base 13) to base 14.\nAnswer: d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 2 in decreasing order.\nAnswer: 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 113 and -139645?\nAnswer: 139758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2268*q**3 + 2*q**2 - 33*q + 31. Does 9 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 28. Calculate the least common multiple of j and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(-6)\/4\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -2398?\nAnswer: -39\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = l - 4, -11*l + 6*l + 7 = -7*l + 3*i for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - -2) + 176175\/4)\/((-416)\/(-1664)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 123 = 5*j + 214, 2*j = 5*t - 400. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 1. Let j be 6 + (1 + d - 0). Suppose g = u + 5*g - 27, -j*u - 4*g = -167. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 5. What is the tens digit of q(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 11*z + 491. What is the hundreds digit of j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003365644 rounded to 5 dps?\nAnswer: 0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57192357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - c - 4 - c**2 + 0 - 9*c. List the prime factors of t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/3)\/((-2)\/3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7420\/175)\/(3 + (-1372)\/460) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 47*i**2\/7 + 90*i\/7.\nAnswer: i*(i - 45)*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 74 (b) 2\/11 (c) -0.4 (d) 17 (e) 2 (f) 6.4 (g) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3649, -54, -4, 2, -111.\nAnswer: -3649, -111, -54, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -294, -430, -568, -708, -850?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 66389. Let b(t) = -1221*t**2. What is q(b(a))?\nAnswer: -2442*a**2 - 66389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 25*i**2 + 29*i - 64. Let s be c(26). Solve -s*a = -3*a + 44 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**5\/20 + w**4\/6 - 5*w**3\/6 + 3*w**2 + 39*w. Let y be z(0). Solve 0 = 5*j + y*j - 55 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2236+1141033473\nAnswer: 1141031237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -36*n**2 - 17*n - 17. Let z(d) = -12*d**2 - 6*d - 6. Determine -6*s(y) + 17*z(y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 96*r = -218 - 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1344710*f. Let k(s) = 56*s**2. Determine k(g(q)).\nAnswer: 101261719109600*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*d - 4*h + 37, -2*h = -5*d + 65. What is the second derivative of -d*x - 8*x**2 + 3*x - x wrt x?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 - 877581*m**2\/5 - 10530648*m\/5 - 6318324.\nAnswer: -3*(m + 6)**2*(m + 292515)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 7*z - 3. Let j be s(7). Let h = j - -3. Find p such that 4*p**2 + 9*p**3 - 7*p**3 + h*p + 0*p = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q - 138. Let c be f(-22). Suppose 0 = 316*l - c*l + 64. Solve 4*k - 4*o = -l, 0*k = -3*k - 4*o - 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:23 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.166 and -38.\nAnswer: 6.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200112 + 5?\nAnswer: -200107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 237206?\nAnswer: 23720.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + q - 18, -1267*a + 1268*a - 82 = 11*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v + 2*v**4 + 15*v + 8*v**4 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 11117 - 3397. Suppose -2*c + 637 = c + o, -631 = -3*c - 4*o. Let i = p - c. What are the prime factors of i?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214461, 214444, 214427, 214410, 214393, 214376?\nAnswer: 214359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 40203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7021999 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2. Let r(f) be the second derivative of -f**6\/30 - f**3\/6 + 5*f. Let k(w) be the second derivative of r(w). Calculate n(k(t)).\nAnswer: -432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -362992, -726005, -1089044, -1452121, -1815248, -2178437?\n\"Answer: -2*t**3 - t**2 - 362996*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2408, 4829, 7262, 9713, 12188, 14693?\n\"Answer: v**3 + 2414*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(121) + 6*-2*sqrt(121))\/(-2*sqrt(1331) + sqrt(1331) + sqrt(99)*-1 + sqrt(99)).\nAnswer: 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 14*c**2 + 13*c + 45. Determine i(10).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 + 13542*m + 45846441 = 0.\nAnswer: -6771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 699 + 706 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682.7699 decades to millennia.\nAnswer: 6.827699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 7*v + 6. Let i be p(7). Suppose i = -3*h + 5*h. Let c = h - 1. What is the least common multiple of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**2 + 75*u**2 - 2*u**2 + 104*u**2 as x + j*u + g*u**2 and give g.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.123 in 4\/7, 3, -256?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/4 + 28*l**3\/3 - 14*l**2 + 72*l - 78. Calculate the remainder when 124 is divided by c(-29).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.233 * -0.1726\nAnswer: -0.0402158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 4:23 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23402 is divided by 274?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12199 and 392586?\nAnswer: 4318446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2807.4 + 0.36908341\nAnswer: 2807.76908341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuw. Give prob of sequence uuw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6274598269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + 14 - -3 - (0 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 - 2*s - 2. Let p be i(2). Let y = p - 9. Suppose 0 = -k + 4*c + 9, -3*k + 2*c - 8 = -y. Solve h - k = -4*u, u - 17 = -2*h - h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -15. Let v = x - 14. Let g(m) = 2*m - 6. What are the prime factors of g(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 1\/1*2. Let m = -11 + a. Let n = m + 14. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/5)*m*m)\/(m*m*m*m**(1\/5))*(m*m**(18\/5))\/(m*m\/m**14) assuming m is positive.\nAnswer: m**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-13)\/(d**(-1))**12 assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, n: 1, k: 7, s: 2, w: 1}. What is prob of sequence kswy?\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 4)*(2*u - 2*u + u**2) + 2*u**2 + 2 - 2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 7*u**2 + 2*u + 43. Let d(c) = 2*c**3 - 4*c**2 + c + 21. Determine 3*a(x) - 5*d(x).\nAnswer: -x**3 - x**2 + x + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 787871608 by -244.\nAnswer: -3228982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102574 + -102572. Let d = -32 + 97\/3. Put 9, j, d in increasing order.\nAnswer: d, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170)*2 + sqrt(170) + sqrt(170) + sqrt(170))*4)\/(sqrt(70)\/(sqrt(7) + (sqrt(112) - sqrt(7))*5)).\nAnswer: -1280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/6 (b) -1\/2 (c) 1587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1594*m**3 + 4*m**2 + 4*m + 8. Let v(c) = -106800*c**3 + 267*c**2 + 267*c + 534. Calculate 8*v(i) - 534*y(i).\nAnswer: -3204*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 26 = 97. Calculate the remainder when v is divided by ((-49)\/7)\/((-1)\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2892329 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**5\/55 + 9*x**4\/44 + 6*x**3\/11 - 16*x**2\/11 - 96*x\/11 - 1498. Factor p(i).\nAnswer: (i - 2)*(i + 3)*(i + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 5*w. Let l be p(4). Suppose 0 = -530*c + 315 + 594 + 151. Factor -3\/5*b**c - 2\/5*b + 0*b**3 + 0 + 1\/5*b**l.\nAnswer: b*(b - 2)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 + m + 9. Let s be (-46)\/(-11) + 4\/(-22). Suppose 4*t = 4, -2*o + s*t - 3 = t. What is the units digit of d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1022?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s + 70*s = 24. Suppose -s*n = 4*a - 324, -2*n = n - 5*a - 227. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 6*b - 6. Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 13*b - 48. Let l be k(-16). What is the remainder when (24 - l)*(-6 - 62\/(-8)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 47.4. Suppose -4*r - 13 = -q, 0*q - 36 = 3*q + 3*r. Let v(u) = -u - 5. Let l be v(q). Sort l, -9\/7, k in decreasing order.\nAnswer: l, k, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - l - 4. Let o be s(-2). What is o rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/34551 and -79\/736?\nAnswer: 25429536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -52164 to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -276.9484706 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 330668 + 0?\nAnswer: 330668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 2614502?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, i: 4, u: 2}. Give prob of picking 2 l and 2 i.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*t + 4*a, t - 6 + 18 = -2*a. Suppose -i + 7 = -0*i. Let f = i + t. Solve -6 = 3*o - f*x, -3*o + 0*x + 4*x - 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -7\/3, 2, -4 in ascending order.\nAnswer: -4, -7\/3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u + 4*v, 0 = 5*u - 28*v + 24*v - 13. Let j(k) = -k. Let d(a) = -4*a**2 + 5*a + 3. Determine u*d(z) + 4*j(z).\nAnswer: -4*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26260\/11 + 229201\/99. Let w = 72 + v. Let o = 6 + -1. Which is the nearest to -1\/4? (a) o (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 25. Let d be 20\/n + 4\/(-6). Let l be (d\/6)\/((-6)\/81). Calculate the greatest common divisor of l and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(576)*1)\/(sqrt(972) + -5*(sqrt(972) + 1*sqrt(972) + sqrt(972))).\nAnswer: 4*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + sqrt(700)) + 1)*-3)**2 + (-1 + sqrt(252) + sqrt(252))**2 + 5 + 1 + sqrt(252) + 3.\nAnswer: -198*sqrt(7) + 7327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)*c\/c**(-2\/7))\/(c*c\/(c*c**(1\/3))*c)**(-1\/2)*(c**(-1)*c\/(c\/(c*c*c*c*c**(-2\/9)*c*c))*c*c)**(-15) assuming c is positive.\nAnswer: c**(-4187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1)*8\/40. Suppose -s + 0*s = 5, 5*p + 5*s = n. Suppose 0 = 3*m + 5*i, 8*m + i + 7 = 6*m. Put m, 7, p in decreasing order.\nAnswer: 7, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + p + 3)*(3*p + p - 3*p + (3*p - p - 3*p)*(2 + 0 + 0)) to q*p**2 + m*p + j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386\/255 - 157\/85. What is the second biggest value in 404, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y**2 + 149*y + 5673. What is n(-25)?\nAnswer: -3052","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 2, l: 3}. What is prob of picking 1 o and 1 c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24353435?\nAnswer: 5, 17, 23, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 100915.\nAnswer: 1\/20183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 8 (c) -1\/4 (d) 12 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000000 + 11111000010101010?\nAnswer: 11110111010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34765, 139078, 312949, 556384, 869389, 1251970?\nAnswer: 1704133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 88 = -52. Let a = p + -26. What is the greatest common divisor of 54 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 12826?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326*j**2 + 360*j**2 - 216*j**2)*(-2 + 2 + j)*(-3*j**2 - 5*j**2 + 4*j**2).\nAnswer: -1880*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 288*j**3 + 7*j**2 - 12*j + 22. Is 52 a factor of x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 142784, 143412, 144458, 145922, 147804, 150104?\n\"Answer: 209*j**2 + j + 142574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) + (-94)\/(-8). What is the common denominator of (-63)\/(-6)*t\/81 and 12\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723 = 30*d + 5*d + 408 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from nnhnezhvhhnhhenvhv.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 29*j. Suppose 4*q + 119 = 5*n, -3*n + 3*q + 73 = q. Let g(w) be the first derivative of n - 6 - 16*w**2 + 17*w**2. Determine g(y(b)).\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q + 8 + 1 = 257*q + 2*o, 4*o - 19 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -340, -2\/7, -2, -0.03, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -5 (b) 1 (c) 2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115798299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.592 years in decades?\nAnswer: 30.8592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350322 is divided by 4998.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3915 and 67877487.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*j + 4*o + 37 = 8*o, -21 = -5*j + 11*o - 25*o for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -406, -831, -1272, -1735, -2226, -2751?\n\"Answer: -v**3 - 2*v**2 - 412*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.467 - 0.667. Let w = 0.1 + 2.9. Which is the nearest to 1? (a) 0.2 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15381218959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q - 2661 = 0. Let z = q + -332. Is z a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, 5, -4 in ascending order.\nAnswer: -4, -0.29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y**(-2)\/y*y**(-5)*y\/(y\/(y\/(y*y*y\/y**2)))*((((y\/(y*y*y*y**1*y))\/y)\/y)**(-35))**(-34) assuming y is positive.\nAnswer: y**(-7150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(720))*-1)**2 - -1*sqrt(180)*-4.\nAnswer: -24*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 4. Let n(c) be the third derivative of 500*c**6\/3 - c**4\/24 - c**3\/3 + 2*c**2. Let i be n(k). Round i to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.522 + 2551903797.\nAnswer: 2551903803.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Solve 2*t = -h*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22471 + -0.12471. Let m = 3455 - 114025\/33. Let v = 4\/231 + m. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -955, -2532, -4725, -7528?\nAnswer: -10935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 52. Solve 0 = -d*c + 8 - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275\/(-150)*(-12)\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:35 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 10*d - 8. Let l be o(-8). Suppose -7*v + l*v = 0. Let i(y) be the second derivative of y**5\/20 + y**3\/6 - y**2 - 2*y. Calculate i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 2*b**6\/3 + 5*b**5\/4 + 5*b**4\/12 + 12*b. Factor x(u).\nAnswer: 5*u**2*(u + 1)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:20 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - -4063. Is m a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -353506 + 53646?\nAnswer: -266530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/39 in 2712.84, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 567266, 1134499, 1701732, 2268965?\n\"Answer: 567233*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18930109 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, z: 3, m: 2, p: 5}. What is prob of picking 2 m, 1 p, and 1 f?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -310.\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1486 = -7*x - 1874. Let q = -455 - x. Solve -d + q = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 859545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590626296.\nAnswer: 2, 3, 13, 29, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 11}. What is prob of sequence qqqr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*(p\/((p*p*p**(1\/2))\/p))\/p*p)\/p))**13\/(p\/p**(-4)*(p*p**8*p)\/p*p*p))**(-24) assuming p is positive.\nAnswer: p**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, v: 1, z: 2, m: 3, q: 3, j: 3}. Give prob of sequence qv.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (9 + -9 + 4 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777043377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*v + 155, -4*i + 4*v - 24 = 100. Let p = i + 114. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1100)*-2*-3*3 - (-1 + (3*(sqrt(1100) + sqrt(1100)*-3 + sqrt(1100)))**2)).\nAnswer: -360*sqrt(11) + 19798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f**2. Let k(m) = -9*m - 230. Determine k(u(t)).\nAnswer: -117*t**2 - 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14c66 - 0?\nAnswer: 14c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a. Let o(r) = -4*r**2 - 5*r - 8. Let u(n) = n + 1. Let c(b) = o(b) + 5*u(b). Let p(s) = 23*s**2 + 17. Let h(q) = -34*c(q) - 6*p(q). Give k(h(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 + 20 = 0. Suppose -r*i - 25 = -10*i. Solve 5*n + 37 - 4 = -4*m, -i*m = -4*n - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -14 - 34) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 2208 = 22*y - 74*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (7 - (-8 - (-11 - 2) - -3) - 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 + 10397*w\/7 - 10404.\nAnswer: (w - 7)*(w + 10404)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13\/5, -0.6, 0.071, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 86, 172, 258?\n\"Answer: 86*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 175147 = -2*p + 407953. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7)\/n*n*n)**(1\/51))**(5\/4)*((n*n**(3\/2))\/n)\/(n\/(n\/n**(2\/15)*n))*(n\/(n*n*n**(-2\/5)))**(-2\/175) assuming n is positive.\nAnswer: n**(426799\/178500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1677 - 813. Let g = n + -365. Suppose 5*p - g = -3*j, -650 = -4*j + p - 0*p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 22*h**2 - 24*h - 8. Suppose -206*l + 902 - 1122 = 4518. Determine q(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 9 = 14*d, -2*t - 4*d = -18612. Is 100 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**32\/a*a\/(a*a*(a*(a**6*a)\/a*a)\/a) assuming a is positive.\nAnswer: a**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1090 + 147*h + 1090)*(61 - 20 - 88 - 123).\nAnswer: -24990*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -799 - -785. Let g(c) = -2*c. Let h be g(2). Let z be (-32)\/(-4)*2\/h. Put z, -1, d, 5 in ascending order.\nAnswer: d, z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9) - (-19)\/(-12). Let y = 0.1 - -0.4. Which is the second biggest value? (a) k (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1684 - 233. Suppose -m - 198 = -g + 164, 0 = 4*g - 3*m - b. Is g 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 -3*x**5 - 263*x**3 + 692*x - 3?\nAnswer: -60*x**3 - 1578*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -aa119e (base 15) to base 8\nAnswer: -36723505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/7*(-2478)\/236*215\/30?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -1) + (-1)\/(-1). Let d = j + 5. Calculate the least common multiple of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23613, -23564, -23515, -23466, -23417?\n\"Answer: 49*d - 23662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 245, 419, 627, 863?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -313, -105, 121, 365?\n\"Answer: 9*x**2 + 181*x - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55091 by -4.\nAnswer: 55091\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3*225\/99?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/74 + 3*2142\/3885?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -21, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 423913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b - 261. Suppose -56*j + 3 = -55*j. Suppose -5*f - 63 = -3*i - 8*f, 4*f = j*i - 42. Calculate the remainder when b is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 14, -4, 7.\nAnswer: -4, 2, 7, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/35*321\/(-27). Let k = s - 14\/9. Determine p so that -k*p - 1\/7*p**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 489\nAnswer: -10\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5\/2 + 9*g**4 - 69*g**3 - 510*g**2 - 225*g\/2 + 2625 = 0. What is g?\nAnswer: -5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:13 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7360\/4416)\/((-10)\/(-9))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 205 = -v - 0*w, 4*w = -5*v + 1037. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27953688 divided by -41048\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -42 + (42 - (16 - 37))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:26 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1728 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 814, 1596?\n\"Answer: 782*i - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -25. Let x be (21\/3)\/1 - (y + 1). Suppose -10*b + 346 = -x*b. Does 36 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100100001000 (base 2) in base 12?\nAnswer: -3a460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 12704?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/3 - 925414*l\/3 - 214097767849\/3 = 0.\nAnswer: -462707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) + sqrt(1400)*3)\/(3*sqrt(72) + sqrt(8)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42273\/40)\/(-33) - -14) + 18.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-392)\/(-35)))\/((-15)\/6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 14*z**2 - 84*z + 86. Is m(27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from xqvxqxq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 51. Suppose -13*m - c = -2*m. Let y(v) = -2*v**3 - 5*v**3 - 4*v**3 - 4*v - 11*v**2. Let i(l) = 5*l**3 + 5*l**2 + 2*l. Give m*y(p) - 9*i(p).\nAnswer: -p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 43*o**2 - 106*o - 336. Calculate the lowest common multiple of u(40) and 560.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -11*o**4\/4 - o**3\/3 - o**2 - o + 1. Calculate z(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1678*k - 831*k = 831*k - 656 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 52 + 16 + 41 - 83 - t. Give a(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*y - 36 = 355*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13162466 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 382871 + 3?\nAnswer: 382874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*i - 56*i - 289*i - 178*i - 239*i to the form x*i + t and give x.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101.3 * -1\nAnswer: 101.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) -2\/9 (c) -2\/11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 24. Suppose -346*m = -183*m - 165*m - 6. What is the fourth smallest value in 0.6, m, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 637833549 to the power of 1\/2, to the nearest integer?\nAnswer: 25255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyoooy. What is prob of sequence yooo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2931966 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50040722?\nAnswer: 2, 1429, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4 + (3 - 3 - 1)*(0 + 1 + 5))*(0*v - 4*v - v).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*o**2 + 0*o**5 + 9*o**2 + 2*o**5 - 2*o**3 - 16*o**3 wrt o.\nAnswer: 120*o**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - v = -3*f + 20, 5*v = -25. What is the tens digit of 366\/f*105\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 100011101100001?\nAnswer: -100011101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 178559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-12))\/(2\/(-4)). Let f = 1212\/461 + -24530\/9681. Which is the nearest to t? (a) f (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4340 and -1307423.\nAnswer: -1303083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, m: 1, i: 1, s: 2}. Give prob of sequence sm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*d = 12, -37322*b = -37340*b - 4*d + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8b7bb (base 12) to base 13\nAnswer: 668b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -2 (b) 1\/2 (c) 1.9 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*n + 34 = 10, 4*n = 0. Let a be (-19770008 - -4) + -2 - w. Round a to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -20. Suppose l = x*t - 164, 104 = -0*t + 3*t - 2*l. Let h = t + -24. Solve 6*n = 2*n + h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2178 divided by 3\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*q + 8, -5*q + 2*n - 34 = -6. Let v = 8 + q. Find the second derivative of 2*i**2 + 2*i - v*i + 3*i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - n)*(n**2 - 2*n**2 + 0*n**2) - 77352*n**3 + 78326*n**3 - n**2 + n**2 + 0*n**2 to p*n**3 + k*n + a*n**2 + w and give p.\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -93631, 0.5, 19\/20?\nAnswer: 19\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6576*c - 254269 = 100835 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 1, 29, 79, 157, 269, 421?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n**2 + n. Let j = -1 - 1. What is the remainder when g(j) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 4 + 3*u**2 + 9*u**4 - 8*u**4 as s*u**2 + p + b*u**4 + y*u**3 + n*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Let h(x) = x + 1. Let r(f) be the first derivative of 2*f**3\/3 + 3*f**2\/2 - f + 2. Let v(m) = a*r(m) - 3*h(m). Differentiate v(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -29. Let s be 6\/6*(-3)\/d. Suppose 2*i = -2*h + 1074, s*i + 1054 = h + h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 11:31 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 5*c - 559*c**3 + 2237*c**3.\nAnswer: 1678*c**3 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*i**2 + 132*i**2 + 619699*i - 619707*i.\nAnswer: 6*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-51)\/(14280\/(-8120))).\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672118 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000956838 rounded to 7 decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106089523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077766?\nAnswer: 2, 3, 163, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 20*f - 30. Let s(z) be the second derivative of -1\/2*z**f + 0 - 2*z + 1\/6*z**3. Determine s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-2\/5))\/d)*d\/(d\/(d\/(d**(-8)\/d)*d)))**6\/((d*d**(-2\/5)*d)**(1\/71)*d**(-1\/6)*d**(-3\/7)) assuming d is positive.\nAnswer: d**(209255\/2982)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -4*b - 48, -3*r + 72 = -4*b. Let x = 28 - r. Solve -2*t = -x - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2085*i**4 - i + 4134*i**4 - 3*i**2 - i**3 - 118 - 2051*i**4 as k*i**4 + y*i**2 + h + o*i + n*i**3 and give h.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 4*z + 12, 0 = -4*k - 5*z + 6. Let i be -3 + 305 - (k - 0). Let g = i - 160. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -755\/12. Let w(q) be the third derivative of -1\/24*q**4 + 0*q + 0*q**5 - q**2 + 0 - 1\/420*q**7 + 1\/120*q**6 + s*q**3. Factor w(p).\nAnswer: -(p - 1)**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 0, 1\/5, -14\/15, 690\/19.\nAnswer: -14\/15, 0, 1\/5, 0.21, 690\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 871.9 - 1043. Let o = j + 204. Let i = o - 33. Are -2\/55 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 33*z**2 + 0*z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1 - 3*j**2 + 2*j - 1 + 2*j**2 + 2*j**2. Suppose -q = 3*m + 5 + 2, -3*q = 3*m + 3. Determine z(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6666*i - 695. Is w(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 60, -2\/15, -8\/33?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -19*q**4\/2 - 7*q**3 - 12. What is the third derivative of g(d) wrt d?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + -4. Let q be 4\/(-18) - v\/(-18). Let y = q + 7. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 24 = 35*s + 196 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, -51, -299, -781, -1575?\nAnswer: -2759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621445 is divided by 10444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12))\/(((-9)\/(-16))\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -188\/9*r + 8\/3*r**2 + 88\/3 = 0.\nAnswer: 11\/6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4 - p**2 + 0*p**2 - 7 + 7. Let l(b) = -b**2 + 4. Suppose -406 = 175*i + 469. Determine i*l(q) + 6*h(q).\nAnswer: -q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (11384\/9961)\/((-20)\/(-42))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-2*4\/(-8). Suppose -17 = -5*y - 2*t, -a*y + 2*t = t - 14. Solve -8 = -y*h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 t when four letters picked without replacement from {t: 7, v: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*x**2 - 55*x.\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11155 and 7275.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353 by -125.\nAnswer: 353\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/132 and 101\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10281, -21194, -32099, -42996, -53885, -64766?\nAnswer: -75639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 621913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8349*n**3 - n**2 - n. Let p be x(-1). Let h = p + -1649. What is h rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-3)\/(2079\/11).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.32 take away 0.043?\nAnswer: -5.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405) + -3 + 4 + 1 + 1)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 4, s: 3, l: 3, t: 2, b: 2}. Give prob of picking 1 z, 2 l, and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18702.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/130 - 63\/105. Which is the closest to y? (a) -5 (b) -4\/3 (c) 5\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*2)\/sqrt(6) + (2*sqrt(119) + sqrt(119))\/sqrt(7) - (-1 + sqrt(1377) + sqrt(1377) + 4))**2*5.\nAnswer: 360*sqrt(17) + 12285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.127 (c) 0.2 (d) -36 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (14 + -7) - 23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 3*z**4 - 3*z**2 + 5*z**2 - 10 + 12 in the form w*z**3 + h*z**4 + g*z + u*z**2 + r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(10\/(-2))*415\/20. Let m = z - 78. Let h(t) = t**2 - 2*t + 7. Let k(g) = 2*g**2 - 3*g + 10. Determine m*k(j) - 7*h(j).\nAnswer: 3*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3f5 (base 16) to base 7\nAnswer: -2645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1340 divide 21660453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954 by -35.\nAnswer: 954\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 992.32 hours?\nAnswer: 3572352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -1 - ((-7 - -17 - 8) + -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.054 - 0.054. What is the second biggest value in 0, 129, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d - 49*d + 12*d + 84*d**3.\nAnswer: 84*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*w - 902*w - 6*h - 28 = -456*w, -2*w = -4*h + 8 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 372908.202 and -0.01?\nAnswer: 372908.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 330291 to the power of 1\/2, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 274604*o**2 - 18852388400*o - 75405160000 = 0. What is o?\nAnswer: -137300, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6014 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 20*t**2 + 11*t - 314. Determine p(13).\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - (6 + (3 - 28) - -4) - (3 + -16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52733 in -0.3, -1, 0.4, -7, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 409597679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 41213 - 9*b + 41213. Let g(q) = q**2 + q + 1. Let a(v) = -9*v**2 - 3*v - 3. Let u(z) = -a(z) - 3*g(z). What is u(d(l))?\nAnswer: 726*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 12*v - 35. Determine m(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c + 5. Determine n(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(4 - 4 - 2*p)*(-4 - 2*p**2 + 4 + (0*p + 4*p - 2*p)*(p + p - 5*p)).\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6852, -13701, -20550, -27399, -34248, -41097?\nAnswer: -47946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/3 - 13565963*s\/3 + 13565966 = 0.\nAnswer: -13565966, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -12. Suppose -z*q - 65 = -3*u, 10*u - 5*q = 5*u + 110. Let v = 0.3 + -1.3. Is u < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(6*g - 2*g - 10*g) + (0*g - 3*g + g)*(-2 + 2 - g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 2618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -146 (b) -5 (c) 21 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 130 = -25. What is the remainder when 948\/8 + (405\/6)\/27 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 7. Suppose m - 3 - 3 = 0. Let v be p(m). Let n = 3.88 - -0.12. Which is the third smallest value? (a) v (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*c + 10 = 0, 6*d - 8*d - c + 5 = 0. Let j be (-12)\/(-9) - 91\/21. Let g be (-1 + (-8)\/12)*j. Sort d, g, 2, -3 in increasing order.\nAnswer: -3, d, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93475 is divided by 113?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594146382.\nAnswer: 2, 3, 99024397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xqqoqxoqxqqxqx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 7. Let b be s(4). Let q = 4 + b. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.954124 or 4?\nAnswer: -5.954124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396)*-2*4 + 0 - 1*(5 + sqrt(396) + 0 + sqrt(396) + -5))**2.\nAnswer: 120*sqrt(11) + 39601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + 2.7. Let q = o - 3.6. What is the smallest value in -1, q, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 2781*g**4 + 2783*g**4 + 12*g**3 - g**2 + 2*g**2 as r*g + a*g**2 + y + x*g**4 + n*g**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, 3, 0, -1 in ascending order.\nAnswer: -1, 0, 3, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 44 = -18. Suppose -g + 3 = 5*l. Let y(b) = -2*b**2 - 2*b. What is y(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 162\/(-12) - (-1)\/2. Suppose -207600 = -p*y + 6*y. What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05839 - 0.04161. Let q = -636\/5 - -1457\/10. Let k = q - 18. Which is the nearest to 0? (a) k (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261*c**2 + 8*c + 3*c**3 + 81*c**2 + 178*c**2 - 30*c**4 to u*c**2 + z*c**4 + d + w*c**3 + x*c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:27 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 96\/(-42). Determine s so that -s**2 + 4*s**c - 2 - 2*s**2 - s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(3\/(-6)) + 1. Suppose -j + d = -28. What is the remainder when j is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiddddbdbbbidbb. Give prob of sequence db.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4794972, -9589948, -14384928, -19179912, -23974900, -28769892?\nAnswer: -33564888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + c**3 - c**3 + (-4*c + 1 - 3 + 8*c)*(98*c**2 - 136*c**2 + 85*c**2).\nAnswer: 186*c**3 - 94*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474804 + 2?\nAnswer: 1474806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26998, -26999, -27000, -27001, -27002, -27003?\nAnswer: -27004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + (-18 + 6 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + d = 2*o - 23, 103*o - 99*o + 11 = -68*d + 71*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/20)\/(-4*162\/(-27168)). Let w = z - -64\/5. Suppose 0*n + 25 = 5*n - 5*t, 2*n + 3*t = 5. What is the second biggest value in n, 0.5, 0.2, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6620 - 2520*l + 13239 - 6619 + (1 + 2 - 5)*(2*l + l + 5*l).\nAnswer: -2536*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 4*j**2 - 4*j. What is the remainder when v(2) is divided by 6\/2*10\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*x**3 - 66*x**3 - 65*x**3 - 65*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 261966.\nAnswer: 1833762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2487*r - 2487*r - 180*r**4 + (6*r**2 - 3*r**2 - 2*r**2)*(2*r**2 + r - r) in the form q*r + j*r**4 + o*r**2 + p*r**3 + z and give j.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 10:27 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 20. Suppose -1320 = 52*t - 44*t. Let n = -86 - t. Calculate the remainder when n is divided by g(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 63. Let t(m) = -4*m + 3. Let w(k) = k - 7. Let p be w(4). Let l be t(p). Solve -3*s = -y*s - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021793083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q. Let z(c) = 639139556*c**2. What is z(p(k))?\nAnswer: 5752256004*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89999528*i**2 - 268266842 wrt i.\nAnswer: 179999056*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.362 and -0.04.\nAnswer: 0.01448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193699705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5108 - 5204 = 12*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-2*1*1020\/816?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -756, -840, -924, -1008, -1092, -1176?\n\"Answer: -84*f - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 453 = -h, -h = t + 6 - 99. Let m = 12 + -12. Suppose m = -10*g - 58 + 158. Calculate the highest common divisor of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 474*w**2 + 2371*w + 3. Let y be z(-5). Sort 1\/2, -3, 3, -29, y.\nAnswer: -29, -3, y, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1, 420\/11, 0.1, -2\/1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 50725 + 50725.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j + 2. Suppose 225 = 3*n + j*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 8*y + 18 = 0. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 0 - 12\/7*x - 3\/7*x**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**6\/120 - 3*a**5\/20 + a**4\/24 - 7*a**3\/6 - a**2. Let y be u(9). Let h = y - -2. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-10))\/((-4)\/(-30)). Let k = a - 15. Suppose t - 54 = 4*o, -t + 4*t = k*o + 126. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - q - 2 - 1 = 0, 0 = 3*x + q - 5. Which is the smallest value? (a) x (b) -2\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -566*t + 37. Determine p(-1).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*h = -12829, -2*k + 5*h - 12457 + 38110 = 0. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -o + 2*o, 0 = 3*o + 2*j + 9. Let p be (20\/(-25))\/(-2)*o. Let r be p\/(-3) + (-2)\/3. Solve 5*v + 3*b - 13 = 0, -4 = -3*v - r*b + 2*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5449584.\nAnswer: 2, 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q - 2*q + 0*q)*(0*q - 3*q + 5*q) + 6*q**2 - 8*q**2 - 4*q**2 - 52*q**2 + 29*q**2 + 22*q**2 - 3 - 3*q**2 + 4*q**2 - 2*q**2)*(-1 + 2 - 2).\nAnswer: 4*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/70 + y**3\/21 + 4*y. Factor s(j).\nAnswer: -2*j*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 3. Suppose -5*o = 3*v + 45, -5*v = -q*v - 4*o - 15. Let g = -8 - v. Solve -3*x + 1 = 3*z - 2, -z = 3*x - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3836)\/411*6\/(-266).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1521 * 17.\nAnswer: 25857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 154341468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.168 + 68.168. Let d = g + -74.9. Round d to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 5312?\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/28606?\nAnswer: 5\/28606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**3\/21 + 50*i**2\/21 - 16*i\/21 - 32\/3.\nAnswer: -2*(i - 4)**2*(4*i + 7)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 2 (c) 3 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + 252*o**2 - 101*o + 50. Calculate n(50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -592303*y**3 - 44*y**2 + 54*y - 50 wrt y?\nAnswer: -3553818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 233. Let m = 75 - n. Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -276, -408?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722956.1 kilometers to nanometers.\nAnswer: 722956100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 29019 = 2*m - 29073, -2*m = 9*g - 222 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 12*k**2 - 37*k - 250. What is the smallest common multiple of g(14) and 24?\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22984 divided by -2?\nAnswer: -11492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-2)\/8. Suppose 623*w + 128 = 639*w. Suppose v = s + s - w. What is the remainder when 14 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 2, l: 2, z: 5, n: 2, q: 1}. What is prob of picking 2 z and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713807.\nAnswer: 713807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*b + 7, 2*b = 4*r - 6 - 0. Let l(g) = -3*g**2 - 231*g - 4554. Let p(v) = v + 3. Let a(o) = b*l(o) + 3*p(o). Factor a(q).\nAnswer: 3*(q + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -58, -139, -278, -493, -802?\n\"Answer: -3*h**3 - 2*h**2 - 14*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 + 3.2. What is the biggest value in m, -2\/17, -2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1\/4, -5, -7370.\nAnswer: -7370, -26, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/18 + 148\/171. Calculate the common denominator of s and -47\/3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3. Suppose 0 = -44*y + 354 + 86. Calculate the remainder when p(-2) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 27. Let g = -27816 + 27837. Determine f(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2 - 4 - 713*z + 728*z. Let q(u) = 2*u. Give l(q(h)).\nAnswer: 30*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 4 - 23*l - 13*l - 2*l**3 + 6*l**3 - 2*l**3 as c*l**2 + b*l + h*l**3 + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63\/61, 1\/2, -0.4, 0.161?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 236143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 407053439 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:27 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 97, -6, -5, -3, 1 in decreasing order.\nAnswer: 97, 35, 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -831 at least -831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + 2 + 3)*(5 + 357\/(-70)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 73 (b) -70 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1516 = 5*c, -7*c + 1519 = -2*c - 3*s. What is the remainder when 43 is divided by (-6)\/(-14) + c\/14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(270) - sqrt(270)))\/(sqrt(672)\/sqrt(7) + (sqrt(6) - (-2*sqrt(30))\/sqrt(5))).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22964 divided by 6.\nAnswer: -11482\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7808 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*d - 22 + 53*d - 3733*d**5 + 3708*d**5 wrt d.\nAnswer: -500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -11, -104.\nAnswer: -104, -11, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 378206010.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*v + 161, 0*v - v - 805 = -5*z. Let b be 1042\/14 + 92\/z. Suppose 5*s + 6*g + b = g, -5*s - 81 = 2*g. Is -17 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -762*m**2 - 6*m - 4. What is g(-1)?\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.1, -12, -6\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-88 - -59 - (-7 + -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22345 and 43665.\nAnswer: 4759485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 2*i**3 + i**3)*(-12*i + 25 - 25).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7049*d**4*m - d**3 - 4*d**2*m + 1507145*m wrt d?\nAnswer: 28196*d**3*m - 3*d**2 - 8*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611376 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -606 and 3.\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -d09ac (base 14) in base 10?\nAnswer: -501324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64419 is divided by 64415.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 5*d**2 + 2*d + 10. Let w be b(-5). Let h(s) = s**2 - s. Let p be h(w). Find the third derivative of 4*u**6 + p*u**6 + 19*u**2 - 12*u**2 wrt u.\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2868 + -2823. Solve 0 = 23*c + 1 + b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76042522078*d + 76042522078*d - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.4701 rounded to zero decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2304 (base 9) to base 11.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 8) in base 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 0, -6, -16, -30, -48?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -2 in decreasing order.\nAnswer: 10, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9770 and 151\/1200.\nAnswer: 1172400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + n + 14, o - 2*n + 68 = 5*o. Solve 0 = -3*l - l + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/11, -0.07, 1\/4, -62?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v + 205. What is o(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.90712 years in centuries?\nAnswer: 0.7290712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101210 - -12020200210?\nAnswer: 12012022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1861.9293 minutes to hours.\nAnswer: 31.032155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270.3942 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -1\/32 (c) 0.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k - 2*k**3 - 4*k**3 - 2*k**3 + 2*k**3 + k**3 + 4*k**3 - 3*k**3 + (4*k - 3*k - 3*k)*(2*k**2 - k + k) + 14*k - 14*k - 3*k**3)*(3 - 4 - 1).\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113790266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtbbbbttttbbabbt. What is prob of picking 4 b?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 43*v**3\/3 + 43*v**2\/2 - 67*v. Is j(5) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:48 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-1 - -3)) + 2 - (42 - 63)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.1 - 20. Let w(q) = q**2 - 5*q - 1. Let f be w(6). Which is the nearest to 0.3? (a) l (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2280, -0.1 in descending order.\nAnswer: 2, -0.1, -2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -659, -1586, -3185, -5666, -9239, -14114?\nAnswer: -20501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 6*(-4)\/8. Let k(a) = 3*a**3 - 4*a**2 + 2*a. Let o(b) = 4*b**3 - 5*b**2 + 2*b. Let q be (2 + -3)\/(1\/2). Determine q*o(j) + v*k(j).\nAnswer: j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.4 - 20.4. Sort b, -0.1, -16 in increasing order.\nAnswer: -16, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 + 2))*(-6)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35092855 and 175?\nAnswer: 175464275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23172 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/1934407 or -1?\nAnswer: -13\/1934407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 786 - 786. Is h less than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3\/8 (b) -56 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*u - 25, 19 = 5*u + v - 1. Suppose -2*n - 9*a + 4 = -8*a, -4*n + u*a = -8. Solve -n*h + 5*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-4026)*2*2\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12.3. Let o be (-3)\/(-10) + 9\/45. Put x, -1, o in decreasing order.\nAnswer: o, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9270 divided by -6.\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/81 - (-68)\/(-18). Suppose -330*v = -327*v - 5*j + 19, -3*v - 7 = j. Sort v, 19, 4, t in descending order.\nAnswer: 19, 4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(176) + (sqrt(176) - (3*(sqrt(176) + (sqrt(176)*-1 + sqrt(176) - sqrt(176))) - sqrt(176)))))\/(((2*sqrt(240))\/sqrt(12))\/(sqrt(5)*2*-6)).\nAnswer: -36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8.4 (b) 1\/2 (c) 2 (d) -20 (e) -0.3 (f) -448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 + 19*c**2 - 5*c + 2. Let v(i) = -13*i**3 - 51*i**2 + 13*i - 5. Let n(d) = 8*t(d) + 3*v(d). Let j be -1*(3 - 1)\/(-2). Calculate n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479421 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:11 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb (base 13) in base 9?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*-4)\/sqrt(6))**2 - (sqrt(175)\/sqrt(5))\/sqrt(5).\nAnswer: -sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-8))\/(12\/(-136)). Let d = b + 31. Let p = -9 - -21. Calculate the smallest common multiple of d and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-34)\/(-10) + 42\/70).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63716 - -63716. Let g = -7 + 3. Which is the nearest to r? (a) -0.04 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 44*r**2 + 136*r - 243. Calculate y(-47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -6343624.\nAnswer: 1\/792953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 545 and 1635.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r + 19. Let w(u) = 4*u - 21. What is -2*l(n) - 3*w(n)?\nAnswer: -2*n + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*f)*(-2 + 6 - 2) + (5 + 11 - 1)*(f - 2*f + 3*f).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*u + 7. Let a(d) = -d**2 + 2*d - 1. Let x be a(3). Sort x, u, 5 in decreasing order.\nAnswer: 5, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/12 of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 33. Let t be f(16). Let o = 11 + t. Calculate the highest common divisor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 - 1. Suppose 4*i - 5*s = 331 + 131, -5*i - u*s + 557 = 0. Suppose -5*b + i = -2. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - sqrt(700)*3)*-5)**2 - (-4 + sqrt(700)*-1)**2) + -4.\nAnswer: -80*sqrt(7) + 69280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.5788 months in millennia?\nAnswer: 0.0249649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -127. What is the remainder when 209 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25135 and 5335.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -1 + -76 + 77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*k - 7 = 0, w + 2*w + 5 = -k. Calculate the remainder when 1 + 2 - -12 - w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9266673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/942 and -31\/1843494.\nAnswer: 1843494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1647 - 28249 = -101*k. What is the highest common factor of k and 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/9 - 16*n**3\/3 - 236*n**2\/9 + 208*n\/3 - 338\/9.\nAnswer: -2*(n - 1)**2*(n + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(3 + 7\/(-2)). Suppose a + 2*w - 6*w - 243 = c, -2*a + 3*w = -496. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 66. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 299, 657, 1159, 1805, 2595?\n\"Answer: 72*q**2 - 2*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) - 1*sqrt(960))\/(4*sqrt(12)*1) - 1*(sqrt(3600) - -1*sqrt(3600))\/(1*sqrt(20)\/sqrt(4) + sqrt(5)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5 + 2, -4*g + 124 = 4*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -24*h + 107. Let r(l) = 264*l - 1176. Let b(v) = -32*c(v) - 3*r(v). Let p be b(21). Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*o + 9804 = -927 - 1129 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 747.339317 to the nearest 10.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 437, 2\/3, 2527, -1\/4?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g)**(-5\/9)*g**7*g*g**0 assuming g is positive.\nAnswer: g**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-15))\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 0, 4, -4, 2, 3.\nAnswer: -4, 0, 2, 3, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.382470793 rounded to 3 decimal places?\nAnswer: 5.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 + 63*f - 11. Let l be q(25). Let t = 2416 + l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*l - 242*l + 50017 = 380*l + 1441 for l.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 21, 6, -25, -78, -159?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 122 = 0. Suppose a = 5*w - 134. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 78\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2545319*i**3 + 2580927*i?\nAnswer: -15271914*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26911*z**3 - 33994?\nAnswer: 80733*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*p**5\/5 - 4036*p**4\/5 - 18128*p**3\/5 - 20088*p**2\/5 - 6976*p\/5 + 28\/5 = 0 for p.\nAnswer: -1, 1\/252, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**5 + 520246*l**4 + 11276722220*l**3 - 26314317252*l**2 + 18796386830*l - 3759312050 = 0. Calculate l.\nAnswer: -43355, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183 + 252. Is (z\/12 + -6)*-3356 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6))**(-4\/27)*o**(1\/4)*o\/(o**11\/o) assuming o is positive.\nAnswer: o**(-1057\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*g**5 - 3*g**4 - 61*g**3 + 10369*g - 2 wrt g?\nAnswer: -660*g**3 - 36*g**2 - 366*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -775.4 + 1077. Round w to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejate. What is prob of sequence tj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261981821*h**5 + 54290416*h**2 + 1.\nAnswer: -15718909260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16736019 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 256 = 4*r, -5*r - 151 = -3*b - 0*b. Let x = 92 - b. Let i(c) = 2*c + 2. Calculate the remainder when x is divided by i(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 1841.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(627\/(-495)))\/((-40)\/(-48)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/6*3\/(6\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251877 (base 9) to base 8.\nAnswer: 451436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Suppose -k = -2*v + 1. Let i = 1041 - 1036. Solve 0 = -5*r + 3*n - 26, -12 = i*r + v*n + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*a - 5*a - 2*a)*(-6 + 4 + 1) + 2*a + 0*a - 3*a)*(6 - 57 + 21 + 4 + 9*a) to the form g*a**2 + n + s*a and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*l**2*o**3*y + 136*l**2*o**2*y - 219*l**2*y + 14*l*y wrt o.\nAnswer: 78*l**2*o**2*y + 272*l**2*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/26 and 30\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, 60 in decreasing order.\nAnswer: 60, 6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 104. Let j be 5\/(-2)*n\/(-30). Which is the second smallest value? (a) j (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*p = -207*p + 185 - 545 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 6 (c) 12 (d) -2.092 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 + 2*s + 5. Let r be w(-2). Let p = -26 - -34. Suppose 0 = -r*d + p*d - 6. Solve -2*k - 5*q - 20 = 0, -4*q + 2*q + 6 = -d*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.5, 11, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -834524.7 rounded to the nearest 100?\nAnswer: -834500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20460 = -4*f - 4*z, 4*z - 2561 + 23037 = 4*f. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8642 is divided by 452.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 m when four letters picked without replacement from {d: 4, m: 8, u: 1}.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 282206530 to the nearest one million.\nAnswer: 282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 48\/(-30)*((-29)\/2 + 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22822 at least 22821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 + 12 - 60)*(1 - 5 + 5)*(3 - 3 + o).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - 10.3. Let m = 11.00145 + g. Round m to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11637234 by 42.\nAnswer: 277077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1333, -1339, -1355, -1387, -1441, -1523?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*l = -p - 10, 0 = 3*p + 5*l. Let h = -9 + 11. Is h - (p - -4 - 0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 - 8)) + 5 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 7392.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*q + 25, -z = 4*q + 11 - 46. Let i = 8 - z. What is the smallest value in i, 0.2, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -132420063\nAnswer: 397260189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 5. Suppose r = -f - f + 27, -5*f + 57 = -r. Suppose f - 32 = 5*j + 4*p, -p = -2*j + 5. Which is the smallest value? (a) j (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 102. Let t be p(-21). Let z(h) = 8*h - 122. Let w be z(t). Suppose -4*y + 60 = y. Solve 2*n + 2*g + 0 = -y, 5*g + w = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = -17*q - 3*g, 1001*q - 997*q - 2*g = 70 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6 + -b989c?\nAnswer: -b9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16594420? (a) 1 (b) 3\/8 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-29 - (-6 - -9)) + -16).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -222, -243, -264, -285, -306?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6*u**2 + 8*m**5*u**2 + 9*m**2 - 2*u**2 wrt m?\nAnswer: -360*m**3*u**2 + 480*m**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - 1 + 1 + (1 + 3 + 0)*(i**4 + i - i) + 0*i**4 - 2*i**4 + i**4 + i**4 + i**4 - i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 23*j**2 + 34*j - 48. Does 6 divide m(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -4)*(-1 - -2). Let m be (-6)\/(0 + i) + -1. Let c(j) = 4 - j**2 + 5*j - 7 + 1 + j. Give c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**2 - 1. Let o(l) be the third derivative of -7*l**4\/24 - 3*l**2. What is o(d(g))?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -210010010 (base 3) in base 10?\nAnswer: -15393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*n - 208607, 54*n = 52*n - 5*h + 83458. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -16 + 0*t + t**2 - 1\/3*t**3 + 1\/120*t**6 + 1\/8*t**4 - 1\/15*t**5. What is h(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1489168 + -965999. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145031 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 452*l**2 - 12915*l - 17662050.\nAnswer: (l - 178)*(l + 315)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + h - 2. Let x be f(3). Let a = -22 + x. Let n be a + (-2)\/((-8)\/12). Solve 10 = 2*l - n*l, -5*t - 20 = -2*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27116729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/4 and -35\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 8, t: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430182 divided by 6?\nAnswer: 71697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1135 - -1069) + (2 - -107).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 11 - 1. Let y be (1\/q)\/(6\/(-96)). Suppose 0 = -2*x + 2*d + 74, 0*x = y*x - 3*d - 150. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s + 10*s**2 - 1 + 37\/6*s**3 - 19\/12*s**4. Find the first derivative of f(d) wrt d.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = y, 9 = 4*t - 34*y + 35*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 311443, 1245782, 2803007, 4983112, 7786091, 11211938, 15260647?\n\"Answer: -f**3 + 311449*f**2 - f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose 2*m = 2*v - m - 21, -4*v + 5*m + 37 = 0. Suppose v*c = 76 - 22. Solve r = 4*y + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*j + 22 + 49, 5*s + 3*j = -327. Let k = -60 - s. Let r(w) = 2*w + 4 - k - 1 - 5*w. What is r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 - -123?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, 3\/7, 25841, -1, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*a + 61 - 41, 15 = 3*n + 2*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -67.\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, 1 w, and 1 h when four letters picked without replacement from vhbsbhew.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p**2 - 13*p**2 + 30*p**2 - 17*p to the form a*p**2 + q + h*p and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-216)\/(-405) + 10\/75. What is the closest to v in 1, 1\/11, 6, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 44744.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.77\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*f + 50, -4*g - g = 4*f - 61. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*g = 3, -f - 31*g + 35*g + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 56128 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2957.7 years to months.\nAnswer: 35492.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6 = 2*n, n = -5*d + 6*d + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25039662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1854*q - 140927. Determine x(-76).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 27 - 5) + (-1 - -2) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 68 + 48. Let f be 1*(z\/(-5) + 2). Suppose 4118 = 2*t - 3*i, i - 4*i - 12 = f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**6)\/l**7*l**(1\/3)*l*l*(l*l*l*l**(2\/11)*l)\/l)**(-38) assuming l is positive.\nAnswer: l**(-6916\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*r = 2*q - 7, 4*q - 5*r + 21 = 0. Let z be (0 - 4) + 8 + q. Which is smaller: z or -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 1:05 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 + 71 + 72 - 141 + 4*x**2 as t*x + l*x**2 + c*x**3 + m and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -19. Let f be ((-8)\/6)\/((-2)\/6). Suppose f*s + 5*d = 14, -d - 7 = -3*s + 13. Solve -s*h + w*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 53. Suppose j - 36 = -f. Suppose -4*t = t + c - 10, f*c - 16 = 4*t. Solve 3*z + 7 = -b, b + 2*b = 2*z + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 13*v**2 - 2*v + 16. Let o be k(-13). Let c = 65 - o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3715*d - 14. Let m(j) = 3716*j - 21. Let s(z) = 3*f(z) - 2*m(z). Let u(r) = r**2. Calculate u(s(p)).\nAnswer: 13786369*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:44 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1045 + -36?\nAnswer: 100b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/108)\/((-4)\/18). What is the third smallest value in -2, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -130*r + 1. Let u(i) = -i. Calculate u(c(d)).\nAnswer: 130*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 1. Let l(u) = 36*u - 48. Let j(t) = -t**3 - 58*t**2 + 10*t + 581. Let d be j(-58). Give d*l(o) + 48*g(o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1193*q**5\/5 - 434*q**3\/3 - q**2 - 1103. Find the third derivative of t(k) wrt k.\nAnswer: 28632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 - 38\/(-10). Let x = 575.57 - 575.76. What is the nearest to 1\/4 in x, -1\/5, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let c(y) = -33*y**2 + 2*y - 388. Calculate w(c(h)).\nAnswer: -33*h**2 + 2*h - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 + 38 - 3*x)*(-13*x + 13*x - 4*x**3) as r*x + o*x**4 + a + g*x**2 + w*x**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8.1. Let b = -10.1 + -1.9. Let w = 8 + b. What is the biggest value in -5, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6068*n + 210*n**2 - 6937*n - n**3 - 212*n**2.\nAnswer: -n**3 - 2*n**2 - 869*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 14*a**3\/3 - 257872*a**2 + 3562428002*a - 3053446564\/3 = 0.\nAnswer: 2\/7, 27629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 11 - ((-4)\/1)\/(-2) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 8*k - 22. Let z be w(10). Let v = -114.48 - -114. Let f = v - -0.98. Which is the second biggest value? (a) f (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152890 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: In base 6, what is 1130544 + 324?\nAnswer: 1131312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**3. Let c be l(1). Let d(r) = -6 + 17*r + 22*r - 36*r. Give d(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/(-444))\/((-14)\/(-12))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3250\/(-72))\/(-13) - 0 and -55\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*s - s - 22*s**3 + 3*s**2 - 7*s + 3 + 25*s**3 to m*s**3 + a + u*s**2 + h*s and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210146 + 210202 = 28*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*d - 5 - 5*d to the form i + u*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - 2*x)*(-2*x + 9 + 989*x**2 - 497*x**2 - 497*x**2).\nAnswer: -5*x**3 - 2*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -19. Let r(o) = -o - 7. Let p be r(-7). Suppose p = 3*i - i - 4. What is the highest common divisor of i and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/413 + (-48)\/8*(-4)\/(-42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -676.28 - -676. Sort 2, 1\/5, n in decreasing order.\nAnswer: 2, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 31206.\nAnswer: -1\/10402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = 1222 - 3334. Suppose 2*u = 4*p + i, 3*p = -2*p + 5. Calculate the smallest common multiple of u and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 24. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8) + 3\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/2)\/((-4)\/(-10)). Let f = 31.31 + -36. Let d = f - 11.31. Which is the second smallest value? (a) z (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8656 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8293 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(630)*1 + sqrt(630)))\/((sqrt(10) - (sqrt(160) + -4*sqrt(160) + sqrt(160) + sqrt(160))) + sqrt(10)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**3 + 3*c**3 + 3*c**3 + (4*c**2 - 5*c**2 + 3*c**2)*(-5*c + 4*c - 2*c) + (c**2 + c**2 - 4*c**2)*(0 + 0 - 2*c)*(-4 - 3 + 3).\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -10, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**4\/15 - 6*a**3\/5 - 16*a**2\/5 - 12*a. Determine f so that w(f) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 21*o + 51, -o - o - 12 = 6*y + o - 0*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 1, o: 1, v: 1, b: 6, x: 1}. Give prob of sequence box.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14691368?\nAnswer: 2, 37, 49633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 33696*a**2 - 539520*a + 2158592.\nAnswer: 2*(a - 8)**2*(a + 16864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55202.\nAnswer: 2, 7, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121\/2 - 63. Which is the closest to -1? (a) -13 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/(-4))\/((-21)\/(-42)))\/(6*14\/(-168))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 11*b - 65 = -2*a, 12*a + b + 15*b = 15*b + 125 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 5*m**2 + 6*m. Let v be j(3). Let d be 4\/(((-24)\/v)\/(-2)). What is the greatest common divisor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3042243 (base 5) in base 13?\nAnswer: -1980c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2 - 5*b + 19*b - 13*b - 2. Let o(l) = 4*l. Determine o(h(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 691*l - 361*l + 1 - 11 - 343*l + 0*l**2 to h*l**2 + r + b*l and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + -193. Let o = -4.9 + z. Put 1, -1\/2, o in decreasing order.\nAnswer: o, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3516797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135.4 + -135. What is the nearest to 1 in -1\/5, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3.8\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4342233 + -10?\nAnswer: 4342223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 3. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8380 + -75514\/9. Let m = 1204\/117 + o. Which is the nearest to -2\/11? (a) m (b) -1\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:24 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**5*z + p**3*z**2 + 367*p**2*z - 2*z**2 wrt p?\nAnswer: -420*p**2*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 - -169.4. What is the closest to 29 in -1, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -11, -1\/84 in ascending order.\nAnswer: -11, -1\/84, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82678097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 638*(-8)\/(-176) - 3\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/14105 and -43\/109?\nAnswer: 1537445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riiiarrcicf. What is prob of picking 1 r and 1 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 11*q**2 + 8*q - 7. Let i(b) = -b**3 + 2*b + 3. Let v be i(-2). Let y be x(v). Round y to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 41 = -45. Let b = -31 + k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7)*c\/(c*c\/((c**(10\/9)*c)\/c)*c)*c**(-18)*c**(6\/5))**42 assuming c is positive.\nAnswer: c**(-14924\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-5 + 1*sqrt(475))**2*-4*-4.\nAnswer: -48005 + 4800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1178 (base 11) to base 15.\nAnswer: -6c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 3*y = 32 - 96 + 41, 0 = 8*n + 5*y + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-1 + 7 + 2) - 9 - -1 - 10\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 5*p - 7. Calculate the remainder when b(-9) is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (5 + -13 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/5, -142 in descending order.\nAnswer: -2\/5, -0.5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 69399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0117281538 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d - 1. Suppose 0 = -3*x + 2 + 34. Suppose x = 6*q - 12*q. Determine m(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = 2*c - c, g - 14 = -5*c. Let q = g + -12. Solve 3*y + q = 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 3950, 6 in increasing order.\nAnswer: -43, 6, 3950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*u + 2397 = 1237 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 8:16 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 4*h - 3*h - 64. Let q(w) = 19*w + 3. Let n(x) = -13*x - 2. Let m(s) = 8*n(s) + 5*q(s). Calculate m(h).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3 and -121\/331352.\nAnswer: 994056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.86? (a) -2 (b) -1\/7 (c) -1 (d) 3\/7 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 170545.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 38 = -2*m - 20, 5*m + 15 = 5*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**2 - 35*m + 35*m to the form i*m + k*m**2 + d and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -454 + 460. What is the closest to n in -0.1, -0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j**3 - 16 - 161*j**3 - 5 - 1.\nAnswer: -98*j**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e91 - -28c?\nAnswer: -c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.467675 weeks to seconds.\nAnswer: 3911649.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 2, k: 1}. Give prob of picking 2 r and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595 + 18*m + 1192 - 597.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 9588*r**2 - 38313*r + 28728.\nAnswer: -3*(r - 3192)*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -j - 2*o, -3*j - 5*o - 2 = 0. Let v be 3 - 1\/(j\/8). Suppose -v*h - 40 = -13*h. Solve 3*f + 13 = q - 0*q, -h*f - 3*q - 31 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236638*v**4 - 334553 wrt v.\nAnswer: -946552*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88545.74 days in hours?\nAnswer: 2125097.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17422, -2255, -3 in descending order.\nAnswer: 1, -3, -2255, -17422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 16*z**2 - 11*z + 10. Let m be g(15). Let l = -33 + m. Suppose -5*v + l = -13. Solve n + v = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 25. What is the third biggest value in 0, d, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/5*(52 + (-3052)\/56).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -25*x + 283. Calculate k(0).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92750 and 9858?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 83, 114, 147, 182, 219, 258?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let m(l) = 7*l - 22. Let s(i) = m(i) - 6*x(i). Let j be s(-18). What is the second smallest value in 0.4, j, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471144185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/39))\/(u*((u\/((u*((u\/u**10)\/u)\/u)\/u)*u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-466\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-4)\/sqrt(10) + sqrt(450)*-2 + sqrt(450))\/((sqrt(900)*2)\/(sqrt(66)\/sqrt(99))).\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (7 + -1 + (16 - 4 - 12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-8))\/((-375)\/(-3))*10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*n**2 + 153*n**2 + 4 - 4.\nAnswer: 247*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46049 is divided by 266.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -220013 (base 4) to base 5\nAnswer: -40232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*d = 450*d - 190. Put -6, 4, 0, d in descending order.\nAnswer: d, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*i**2 - 246*i - 70509 wrt i?\nAnswer: -74*i - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:10 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7383*o*t*w**3 + 2*o*t*w**2 + 32*o*t + o*w**2 + 37*t*w + 51*w wrt w?\nAnswer: -44298*o*t*w + 4*o*t + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 25 = -69. Which is the biggest value? (a) 0.2 (b) 14 (c) 2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -5*b + 0*b**2 + 0 - 5\/21*b**7 - 3\/4*b**4 + 0*b**5 + 0*b**6 + 0*b**3. Find the third derivative of g(u) wrt u.\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.84 at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:40 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7141462 and 21197.\nAnswer: 78556082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.34 less than -569269?\nAnswer: -569514.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5799 - 20201.\nAnswer: -20200.4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.5, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.1902098 to one decimal place.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20329, 40685, 61061, 81457, 101873, 122309, 142765?\n\"Answer: 10*a**2 + 20326*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 4*a = -45*z + 242981, 3*a + 194360 = 4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 280*i**2 + 86*i - 646. Calculate v(-93).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((756\/12)\/(-21))\/(9\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3998139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 173536255 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -81. Suppose 0 = 3*x - j - 0 + 10, -c*x - 18 = -j. Let m(i) = -i - 11. Let r be m(-8). Put r, x, 1, -2 in increasing order.\nAnswer: x, r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-4 + -2 - 46075). Let o be 2\/(-7) + q\/163485. Are o and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -73 * -4\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 + 0*o**2 + 199*o - 96*o - 497. Let j(f) = f + 1. Let m(t) = 3*j(t) - q(t). Solve m(r) = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695351, -695433, -695633, -696011, -696627, -697541, -698813, -700503?\nAnswer: -702671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 16 - (1 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/30 + 13*x**5\/5 + 183*x**2 - x. Factor u(s).\nAnswer: 4*s**2*(s + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 212*i**2 - 4639*i - 327. Determine p(22).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.493 and -3815.\nAnswer: -1880.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, k: 4, e: 10, y: 1}. Give prob of sequence kkoy.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -35. What is the third derivative of -9*y**4 - 7*y**4 + 13*y**2 + 16*y**t - 2*y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2097*c + 2*c**2 - 4212*c + 2102*c to the form s*c + l + a*c**2 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4\/7, 502\/133, 0.9, 4, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 5*l**2 - l**2)*(3 + 0 - 2 - 4 + 2 + 0 + (4 - 3 - 2)*(3 - 1 - 3) + 3 + 0 + 0)*(2*l + 0*l + 6*l).\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -7*z + 17. Suppose 4*d + 0*q = 4*q - z, -5*d + 2*q - 45 = 0. Let r = d - -7. What is the nearest to 4 in r, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/5119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5 + 5.5. Let f = 115\/4 - 28. Which is the closest to u? (a) f (b) 2\/7 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:58 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 441228903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) + 2 - sqrt(2)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 10*v**2 + 92*v - 51. Let u be r(-16). What is the highest common factor of u and 2483?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*w - p - 31 = -254*w - 10, 4*p + 176 = -15*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + k = 2*k - 20, -k = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133)\/(-21) + (-3)\/9. Suppose a = -2*a + m. Suppose -a*r + 76 = -0*r - c, 5*c = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1453996 and 123220?\nAnswer: 7269980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 1365 - 1393 = 2*q, 4*w = -2*q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*s + 103392, 23*s - 34459 = 22*s - 3*z. List the prime factors of s.\nAnswer: 2, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265895 times 0.33\nAnswer: 87745.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -906\nAnswer: 4530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 - 16*j**4 + 48*j**3 - 68*j**2 + 46*j - 12 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1070705.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 32. Is 9 a factor of c(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 - -0.1219345\nAnswer: 150.1219345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Suppose 3*j + 2*y - 68 = 0, 49 + 35 = 4*j + 4*y. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 913*k - 41527. Calculate h(48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1616 - 1107. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560*l + 1517*l = 215 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1433.10418.\nAnswer: -5732.41672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -936?\nAnswer: -7\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/6)\/(2\/(-8)). What is the units digit of z + 8 - (-42 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.451 + 0.2\nAnswer: -11.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -148 + 147 + (1 - 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -28*v + 228. Let x be s(8). Let k = -280 - -279.95. Which is the nearest to k? (a) 2 (b) x (c) 2\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000406151701 to 7 decimal places.\nAnswer: 0.0000406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -286, -270, -246, -214, -174, -126, -70?\n\"Answer: 4*g**2 + 4*g - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 7. Let r be d(3). Let c be r\/(-4) - 3\/2. Let h be 26 - (1 - c - 1). Solve -5*z - h = 4*s, s - 7 = -4*s + 3*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 34384.\nAnswer: 3\/34384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4150859\/65 - 63860. What is the common denominator of z and 0 + (-651)\/(-234) + -1?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 s when three letters picked without replacement from {q: 1, s: 12, r: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/48 and -65\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2249*n**5\/20 + 145*n**4\/12 + n**2\/2 - 1982*n. Find the third derivative of i(s) wrt s.\nAnswer: -13494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 3196*j**4 + 365584*j**3 - 2270528*j**2 + 4592512*j - 3078848 = 0.\nAnswer: -659, -146, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*2 + -1 - (sqrt(208) + (sqrt(208)*-1 + sqrt(208))*1)) + -3)**2*-3.\nAnswer: -672 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2968\/(-224))\/((-1)\/12) is divided by (-3 - 57\/(-2))\/((-3)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 6. Let y(t) = -5*t - 7. Let i(z) = 7*o(z) + 6*y(z). Let q(s) be the first derivative of -s**2\/2 - 1. What is i(q(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o = 18, 90 = d - 5*o. Calculate the remainder when 1814 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -291.\nAnswer: -62\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 12\/(-18)*27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 184?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*u = 600*u - 1292*u + 1440 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1265, -1429, -581, 1273, 4127, 7975?\nAnswer: 12811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*m - 542, -612 = -5*a - m - 58. Do 110 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/86 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 + 58 - 53 + 47)*(6*a - 3*a - 2*a) as k + y*a and give y.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -26)*914*71. Let b = -852350 + c. Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 8. Let s be k(-9). Which is the fourth biggest value? (a) -3 (b) 5 (c) s (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 4*j**2 - 2*j - 8. Let p be q(-4). Solve 4*a + p = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a = 25*a + 350. Let s = -67 + a. What is the remainder when 17 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*l + 3 + 0 = 0, 4*l = 5*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -251300\/33 + 22366\/3. Let r = 160 + l. Let b be (-13)\/(195\/(-70)) - 5. Put 16, b, r in ascending order.\nAnswer: b, r, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = -222892 + 222954. Factor -66\/5*v + 72\/5*v**n - 6\/5*v**3 + 0.\nAnswer: -6*v*(v - 11)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + 22 + -22 + 20\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/102 and 67\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -157033\nAnswer: 15703.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 4 = -20*v. What is the nearest to 2 in v, -0.1, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403108.\nAnswer: 2, 179, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p. Let u(t) = 3*t. Let x(k) = -4*h(k) + 5*u(k). Let o be x(5). Which is the nearest to 0.3? (a) 5 (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:32 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10607698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11282 (base 16) to base 10\nAnswer: 70274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 3*o - o**2 + 0*o**2 + 3 + o**3. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o**2 - 1 - 10*o**2 - 1 + (-103*o + 262 - 262)*(-5*o + 3*o + o).\nAnswer: 102*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 17, v: 3}. Give prob of picking 4 y.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -284267+218765\nAnswer: -65502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 43\/2 of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 4, -3, -5, -4, -62.\nAnswer: -62, -5, -4, -3, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.93. Let b = -0.03 - s. Let z = b - -0.09924. What is z rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5466 * 1535.\nAnswer: -8390310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-20) - -2)\/(1\/4). Suppose 7*k - 14 - m = 0. Suppose 237 = 5*q - 6*z + 3*z, -3*z = k*q - 123. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 1, 0 = -3*o + 5*f + 17. Suppose 17*g - 142 = -125. Let z be (g + 4)*44\/10. Solve z = -o*v + 5*r - 11, -5*r + 31 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/7)\/x)\/x**(-8))\/((((x*x**(-2\/3))\/x)\/x)\/((x\/x**9)\/x)) assuming x is positive.\nAnswer: x**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 100975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6599 is divided by 1866.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 290875421 to the power of 1\/2, to the nearest integer?\nAnswer: 17055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1930694*f**5 + 24763*f**2 + 19?\nAnswer: -115841640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46809380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 9*i + 11. Let n be a(-8). Let l(k) = k**2 - 10*k + 4. Let h be l(10). Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(4\/11)\/((m*m\/m**1)\/m**(-2\/7)) assuming m is positive.\nAnswer: m**(-71\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/486, 54, 1\/117, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f + 45*f + 8*f)*(160*f - 10*f**3 + 27*f**3 - 15*f**3) as x + t*f**3 + a*f + v*f**2 + w*f**4 and give w.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -546. Is 46 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, t: 5}. Give prob of picking 2 t.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -8*r**4 + 28*r**3 - 8*r**2 - 12*r = 0.\nAnswer: -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2. Let q(c) = -c**2. Let k(w) = m(w) + 4*q(w). Let a(g) = 2*g. Give a(k(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = c - 23 + 47 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*g - 11, -2*g + 0*n + 31 = 5*n. Suppose 0 = -r + g*r - 6. Calculate the remainder when -1*((2 - -2) + -9) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 56*w - 336. Solve p - 3*k = 0, 4*p + 20*k - w*k = -16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11 + 14 + 6*b - 25. Let h(i) = 16*i**2. Calculate h(a(k)).\nAnswer: 576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458208 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 525 = 6*j. Let g = -104 - -108. What is the remainder when j\/18 + 2\/12 - -3 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttgt. What is prob of picking 4 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(2)*1))**2 + sqrt(3) - sqrt(3))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 33816\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 - -0.48. Is -0.07 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 77. Suppose -p + 2 = -25. Let s = p - q. Which is the third biggest value? (a) -0.1 (b) 11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:43 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 1, w: 4, c: 3}. What is prob of picking 2 w and 1 c?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.672 + -1.52. Let r = 4.848 + u. What is the second smallest value in 1, r, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 3*l + 6. Let h be p(3). Is 14 a factor of ((-3)\/(-6))\/(3\/h)*-64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/3 - 19*g**2\/3 - 8*g = 0.\nAnswer: -8, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110000001010100110110 (base 2) to base 10\nAnswer: 1578294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183470 + 764284 = 26*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4833498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -11.64, 0.3 in increasing order.\nAnswer: -11.64, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.233377 centimeters in millimeters?\nAnswer: 92.33377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**4 + 253196*d**3*l - 166*d**3 + 940*d**2 - 3*d*l + 201*d + 6*l wrt d?\nAnswer: -72*d + 1519176*l - 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29*5\/((-20)\/(-92)). Let i be (0 + 51)\/((-6)\/(-32)). Let w = v - i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 5*k - 5*k)*(-31697*k - 36646*k + 20201*k - 12929*k - 1346*k - 26123*k) as v + q*k**2 + h*k and give q.\nAnswer: 88540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*((-144)\/20)\/12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2284*n - 67846. Calculate c(-30).\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 plus 1.7?\nAnswer: -337.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.3 + -6.3. Let n = u + -46.99665. What is n rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16678798*j**3*m + 3*j**3 + 2*j**2*m - 240*j*m - 12*j - 180*m wrt j.\nAnswer: 100072788*j*m + 18*j + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 6*n**3 - 3*n**2\/2 + 3*n - 1. Is v(2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 * -12685\nAnswer: 672305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*q - 2*q + 426, -5*u + 95 = q. Calculate the highest common divisor of q and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/473 or 0?\nAnswer: 4\/473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*o = 241*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*w - 14*w - 2*w)*(6 - 3 - 4) to v + f*w and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7486949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 699751 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 233*u - 134 = 244*u, 3*x + 5*u + 107 = 0 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 20*c - 106*c + 169*c - 17*c - 15*c + 3*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -760*t - 99. Is l(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2. Let z(s) be the first derivative of s**2 - 24. Determine z(c(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -1. Let j = -7 + a. What are the prime factors of 1\/(-3) + (-14)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ssuhjjjhpqhqjsq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55567 + -37712. Is (j\/(-1) - 8)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2. Let i(z) = -2*z - 175. Determine -6*a(u) + i(u).\nAnswer: -2*u - 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/277 - 510\/3047. Let f = 0.2 + -0.1. Which is the smallest value? (a) u (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112002222 (base 4) in base 8?\nAnswer: 3260252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2 + 7\/(4 + -32)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 + 480 - 1384 + 6*z**2 + 475.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 2 (c) 0.4 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*s = -4*s + 44, 7 = -d + 5*s. Let v be (-438)\/(-8) + 2\/d. Suppose q + 5 = 2*w - 5*w, 5*q - 5*w - v = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4446001 - 10?\nAnswer: 4445661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/3 - 14012*d**2\/3 + 224384*d\/3 - 299264 = 0. What is d?\nAnswer: -14028, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 185587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 3. Suppose 5*q - 164 = -z - 2*z, -o = 5*z. Suppose 1 - q = -3*r. What is the smallest common multiple of 1 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/6536 and -21\/256280?\nAnswer: 4869320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4235000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9f5 (base 16) to base 7\nAnswer: -10301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2170)\/(-168) - 13) + (-91365)\/(-1260) + 3\/(-7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/7 - 2*t**4 + 8*t**3\/7 + 24*t**2\/7 = 0. Calculate t.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.697390273 rounded to 2 decimal places?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49753 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48858758 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*i**2 + 404*i**2 - 264*i**2.\nAnswer: 506*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307673 + 6*q**2 + 105454 - 4*q + 595330.\nAnswer: 6*q**2 - 4*q + 1008457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 20 = -2*y, -2*y - 2 - 12 = 2*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c - 3*c + 113 + 3*c - c. List the prime factors of v(0).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 + 4) - 7) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 4. Suppose 0 = -4*t - 72 + 80. Let u be n(t). Find the third derivative of 0*v**5 - 11*v**5 - v**4 + 3*v**u + v**4 wrt v.\nAnswer: -660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-45) + (-112)\/(-60). Suppose 52 = z*v - 0. Let k(w) = -3*w + 84. Calculate the remainder when v is divided by k(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + -3.2. Let m be 2\/7*(-9)\/6. Sort 1\/3, s, m in ascending order.\nAnswer: s, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p + 52. Let r be t(3). Let d be (r\/(-8)*2)\/((-69)\/92). What is the smallest value in 0.7, 0, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-81)\/18)\/((-1)\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 4 - sqrt(99)\/sqrt(729)) + 0.\nAnswer: 4 + 71*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 144823 + 144843 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 77, 59, 39, 17, -7?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.141759 millilitres to litres.\nAnswer: 0.005141759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 35353.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 574207430*h + 1207402781.\nAnswer: 574207430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 3\/7 (c) -1 (d) 1.444 (e) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6964 to the nearest one hundred.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2051438 and -2052029 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 450493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from pttktppmmtptk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 bigger than 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/90 and 173\/22350.\nAnswer: 67050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and 0.121009911.\nAnswer: -34.878990089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 217. Suppose -2*k - 5*p + d = 0, 2*k = k - 5*p + 33. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8031, 8033, 8035, 8037, 8039?\nAnswer: 8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 953572.2 minutes?\nAnswer: 57214332000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by (-3)\/5 + 30\/(-175)*-581?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 37*z**2 - 7. Let n(l) = -112*l**2 + 22. Let m = 31 - 33. Let c(u) = m*n(u) - 7*k(u). What is the first derivative of c(j) wrt j?\nAnswer: -70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3253243 + 44?\nAnswer: -3253155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -754\/36239?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 43. What is p(-46)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269\/5 or -54?\nAnswer: -269\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or -0.156?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/468432 and -119\/90.\nAnswer: 2342160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 87343758321 and -0.4.\nAnswer: 87343758320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**3 - 125*j**2 + 703*j - 75. List the prime factors of t(35).\nAnswer: 5, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74796800 divided by 301600.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1480036982 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 23*h**2 - 2*h + 41. Let c be i(23). Let v(b) = -3*b + 37. What are the prime factors of v(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1125))*-1 + (-2*-2*sqrt(225))\/sqrt(5).\nAnswer: -3*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 475 = 95*s - 578. Solve -2*q + s + 1 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2272305*p + 1136155*p - 5*p**2 + 1136166*p.\nAnswer: -5*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/52 + -12\/13. Which is the nearest to 2\/5? (a) 2\/17 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u*y**3 + 17*u*y**2 - 2*u*y - 669*u + 99*y**3 - 2*y**2 - 2*y - 45 wrt u.\nAnswer: 4*y**3 + 17*y**2 - 2*y - 669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 65.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**2 - 47*g**2 + 99*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 2 a when four letters picked without replacement from eeiegkaiaikcgikcec?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 y when four letters picked without replacement from {j: 4, i: 12, y: 4}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = a - 9*f - 3, 3 = a - 3*f. Suppose 37 = a*y - y + 5*p, 0 = p + 1. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {s: 2, b: 4, a: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + 2)\/(49 + -167))\/(-17 + 16)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4833 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15.5 times -16020.74\nAnswer: 248321.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -255986 + 255986 + 1039*m + (0 + 0 + 2*m)*(0 - 1 + 0) + m + m - 3*m.\nAnswer: 1036*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -6, 1132.\nAnswer: -6, -3, 0, 1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 3 - (-15 + 27 - 22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1216 - 1193*g - 39*g - 320*g**2 - 31*g**3 + 27*g**3 = 0. Calculate g.\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Suppose 35 = -w*x - 5*x. Let m(p) = p**2 + 6*p. What is the units digit of m(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 9, b: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 809148, 809149, 809150?\nAnswer: 809151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and -353 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*a - 173 = 223*a + 2375 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8952532 divided by 5\nAnswer: -8952532\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -2a?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345551179?\nAnswer: 7, 192221597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**3*s**3*v + 1408*k**3*s**3 + 40*k**3*s**2*v - 56*k**3*v + 8*k**2 + 2*s**3 wrt s?\nAnswer: -42*k**3*v + 8448*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 167*t - 149*t - 36. Suppose 0 = -6*l + t*l + 4896. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 - 219. Calculate the remainder when (-35)\/(k\/(-3)*-3) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/3)\/i**(-6)*(i*i\/i**(2\/9))**(-1\/7)*(i**6\/i*i**(-4)*i)\/((i\/i**(-3\/5))\/i**(-1\/19)) assuming i is positive.\nAnswer: i**(38464\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose -8 = -2*r, -55 = -j + i*r - r. Suppose -2*s + t = -j, -t + 81 = 2*s + 4*t. Calculate the highest common divisor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c (base 16) in base 15?\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t + 7*t)*(-t**4 + 2*t**3 - 2*t**3)*(12 - 5 + 2).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249386895.\nAnswer: 3, 5, 5541931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81297, -325500, -732519, -1302360, -2035029?\n\"Answer: -b**3 - 81402*b**2 + 10*b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 times 620.58\nAnswer: -5895.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51751?\nAnswer: 7, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2310\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-3) + (-2)\/3. Let q(p) = -p**3 + 9*p**2 - 14*p + 1. Let x be q(7). Let d = o + x. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -10. Suppose r + 5 = 4*b, 5*b - 22 = -w*r + 53. What is the remainder when 21 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -56017\nAnswer: -560.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y = -53*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -14. Calculate the greatest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*x - 264*x - 70 = -2*c, -2*c - 4*x + 60 = 0. Solve -25*v + c*v = -63 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20102022 + -12?\nAnswer: 20102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1085113869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-6*f**4 - 2*f**3 + 2*f**3) - 4*f**2 + f**4 + 4*f**2 - 58*f**4 - 60*f**4 - 24*f**4.\nAnswer: -147*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from {i: 2, m: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*g = 48, 2*z + 16 = 3*g - 0*g. Let s be z\/(-5) - 1\/(-5). Suppose s*b = 5*b - 26. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 179*m - 95. Let n be f(-25). Solve 5*q - 4*z - 9 = 0, 0 = n*q - 12*z + 14*z - 33 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7294507 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 5100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 27. Let g(m) = -3*m**2 + 3*m + 80. Let s(d) = 11*c(d) + 4*g(d). Let p be s(0). Let l = 12 + p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 + 2*m - 9. Let d be h(6). Let w be d*(-4)\/18*6. Let p(j) = -j**2 - 6*j - 3. Let b be p(w). What is the smallest value in b, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134738816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 - 15*n**2 + 18*n = 0. Calculate n.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/3))\/(j*j\/(j**(-6\/11)\/j*j))*j**(-7)\/j**(-4\/7) assuming j is positive.\nAnswer: j**(-1534\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 46. Give l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 60?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9160065.3850287 + -9160065. Let q = -0.385 + z. What is q rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-15)*(-18)\/(-4). Suppose z = 3 - 0. Suppose z*h - i = 3. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-14) + (-5)\/(-2). Let m(z) = -3*z**2 + z. Let n(w) = w**2. Determine h*m(v) + 9*n(v).\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 11\/(-22) + (-74)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 - -208. Let i = m - 272. What are the prime factors of i?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1 + 58*p - 66*p - 7*p**2 + 7*p. Give j(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 9. Let f = 725\/2 - 5043\/14. What is the common denominator of f and (-47)\/3 + (-6)\/g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 667? (a) 0.4 (b) -0.1 (c) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let z = -0.09 + 0.89. Let p = v + z. Which is the second smallest value? (a) 0.1 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/9*k**2 + 62\/9*k = 0.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 6. Let h = u - -14. Which is greater: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/7*g**2 + 0*g = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 579, 853, 1111, 1347?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -9, -106 in decreasing order.\nAnswer: 13, 4, -9, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -72.5. Let z = p + -0.6. Which is the third smallest value? (a) -2\/11 (b) z (c) -2\/5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/3893 and -75\/1088.\nAnswer: 249152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 = 2*m, -m - 3*z - 1 = 8. Find the second derivative of 0*p**3 + 9*p - 7*p**m - 14*p - p**3 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.3 - 5372?\nAnswer: -5394.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5876 - -16467. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -743, -0.7, 0.3, -30?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -8 in increasing order.\nAnswer: -8, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d + 29. Calculate the remainder when c(4) is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88841.29 decades in centuries?\nAnswer: 8884.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/12*(-16)\/(-20). What is the biggest value in 0.5, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6194 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*j = -3*j + 8, 0 = -5*j - 10 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/41160 and 103\/1893360.\nAnswer: 1893360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -11. What is the greatest common factor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*a + 4*a**3 - a**3 + 3*a**2 + 3*a**2 + 53*a.\nAnswer: 3*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/502090 and 103\/8510.\nAnswer: 502090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -3, -7\/5, 97.7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6 + (-14)\/21. Let m(u) = -u + 4. Let j be m(5). Which is bigger: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -7*n. Suppose 8*x - 29645 - 35147 = n. Suppose 15*s - 706 = x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 54*q**2 - 138*q - 1457. What is b(-56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6*7)\/((-18)\/(-132)). Suppose -2*i - 180 = -3*z + 49, -4*z + 4*i + r = 0. Calculate the remainder when z is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 6. Let n be k(11). Suppose 5*h = -15, n*p + h + 3*h + 37 = 0. Suppose 7*g = 22*g - 15. Are p and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291493?\nAnswer: 31, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -36*y**3 + 2*y**2 + y + 2. Let r be m(2). Let i = -126 - r. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5436280.7 to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**3 + 31*w**2 + 1 + 33*w**2 - 75*w**2 + 6*w**2 - 5*w to the form u*w + c*w**3 + z*w**2 + r and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 0 - (5 - (19 - (4 - -6)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**6)\/o**1)\/(o**0*o*o)**(-25)*((o**7*o)\/(o\/o**(-1)))**(-3\/10) assuming o is positive.\nAnswer: o**(211\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 541.2 - 541.5. Which is the third biggest value? (a) q (b) -2\/25 (c) 0.05 (d) 4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b4 (base 16) to base 5.\nAnswer: 30342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*c**3 + 217*c**3 + 48*c - 98*c**3 - 48*c.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from {y: 1, l: 2, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 3*h + 0*h + (2*h - 4*h + 4*h)*(1 - 1 - 1) + (-3 + 1 + 4)*(-11 - 9*h + 11).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 43?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 73?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 187*s. Let b(w) = -1687*w. Calculate c(b(f)).\nAnswer: -315469*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12569710 = -3*a - 13350290. Round a to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 6 - 6 - 5 + 13 - 1. Let m = 11 - 14. Determine l(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.237 - 0.637. Sort -2\/19, 7, u in ascending order.\nAnswer: u, -2\/19, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -157.\nAnswer: -51\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 36. Suppose o = 26*h - 31*h + 15. Solve -2*x - l + 10 = 0, 2 = 2*x - 6*l + h*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than or equal to -5268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -112\/37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - -82 - (8 + -26 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2452967, -4905930, -7358893, -9811856, -12264819, -14717782?\n\"Answer: -2452963*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 9\/5, 23081, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 28*m - 61. Let a be d(-30). Let u be (a\/(-2))\/((-17)\/102). What is the nearest to 2 in 1\/2, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 75*w**2.\nAnswer: -5*w**2*(w - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 11*f - 24. Suppose 0 = 5*l + 2*g - 18, -2*l + l - 1 = 5*g. Suppose -l*m = -m - 9. Calculate the remainder when u(-4) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1372.9 times 0.026\nAnswer: 35.6954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -139 + -2 + 4. Let b = x - -247. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 440 - 272 + 349*i**3.\nAnswer: 349*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 145 * -2.009\nAnswer: -291.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(1*-17*(-1)\/(-1))\/((-15)\/(-15)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102110101 - -200?\nAnswer: 1102111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 5*m + 6. Let x be a(-6). Suppose 2*q - q = z - 2, -4*z + 20 = x. Suppose 13 = -2*j + q*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7. Let v = y - -4. Suppose 5*a - 30 = v. Calculate the greatest common divisor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -412, -1, 2, -4, -15, 0 in decreasing order.\nAnswer: 2, 0, -1, -4, -15, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l - 1. Let o be x(-3). Let z = 104 + -88. Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -1 (c) -1.7 (d) -301\/3 (e) 0.4 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 0*x + 3*x + 14 + 0*x. What is the units digit of z(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8618*a. Let g(x) = -4*x. Calculate g(y(f)).\nAnswer: 34472*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/11 (b) 0.1 (c) 26\/15 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - c + 3. Give k(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 140\/63)*63.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 15 = 14*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26577 less than -0.3?\nAnswer: -26577.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -64, -96?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552859 + 24.49434?\nAnswer: 552883.49434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*k - 5363984 + 510728, c = 5*k - 8088748. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*6\/(-12) + 5. Let h(l) = -2*l - 6. Let g be h(-5). Suppose -s + g*s - 108 = a. What is the remainder when s is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491473.\nAnswer: 19, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l + 68. What is the greatest common factor of 119 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose v*s + 333 = 5*y, 4*y - s - 3*s - 260 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2259*a + 486*a**6 + 2039*a - 6252*a - 2*a**4 + 2156*a + a**2 wrt a?\nAnswer: 58320*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2099 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/5 - 8091*u**2\/5 - 21821427*u\/5 + 8566. Factor i(h).\nAnswer: -3*(h + 2697)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 501 - 95.8. Let j = y + -448. Let q = 96.5 + j. What is q rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102 + -149?\nAnswer: -47","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 12:29 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 9 = -w + 26 - 15, -6*h = 2*w - 130 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142154187?\nAnswer: 3, 7, 17, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202 (base 3) in base 4?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:55 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) -4 (c) -2 (d) 2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1320252 * 19.\nAnswer: 25084788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.04 (b) -1 (c) 16 (d) -3\/5 (e) -0.5 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*z - 2752 = 164*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197605 + 395144 - 197637 + 2*j.\nAnswer: 2*j - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:23 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 440*w.\nAnswer: -5*w*(w + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from pwppdwwpppwwdwd?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.79 - -47.79. What is the nearest to 0 in 0.4, y, 4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4800 = 772*n + 102*n + 26650 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0296983m to millimeters.\nAnswer: 29.6983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-16)*(w*w**(-5)*w*w*w)\/w*(w\/(w*(w\/w**(-2\/7))\/w)*w)\/w)\/((w\/(w\/w**3)*w*w**6)\/(w**(-4)*w**(-1\/5))) assuming w is positive.\nAnswer: w**(-17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 5*l + 118, 4*w + 3*l = -122. Let q be w\/112 + 116\/14. Suppose 0 = 4*y + n + q - 3, -4 = 5*y - n. Which is smaller: -0.7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**4 + 6979*i**3 + 40508*i**2?\nAnswer: 48*i + 41874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812 + 15*g**2 + 5*g - 810 + 23*g**2 + g + 62*g**2.\nAnswer: 100*g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - v - 4*v = -5, -3 = m + v. Let d be m + 4\/(-2) + 6. Let a = -2 + d. Solve 5*n - 8 = -2*f + 2, a = n - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -664 + 691. Let r be ((-352800)\/s)\/(4\/150). What is r rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Let p = 3864 + -3867. What is the fourth biggest value in 7, n, p, 5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(2\/77)*h*h)\/h*h*h\/(h*h**(-15)))\/((h\/(h\/(((h**28*h)\/h)\/h*h)))\/(h\/(h*h**17))))**(-3\/14) assuming h is positive.\nAnswer: h**(3000\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 115a (base 14) to base 6\nAnswer: 21552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.5 less than 2830715891?\nAnswer: 2830715765.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -67, -205, -471, -907?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1166946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 45*f + 3*k = 43, -4*f = -2*k - 172. Put -12, 0, f in descending order.\nAnswer: f, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:25 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 17. Let m be x - (0 + -3 + 4). Solve -10 = 2*v, -6 = -z + 3*v + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0995052 centimeters in nanometers?\nAnswer: 995052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*c - 164*c - 443857*c**3 + 157743*c**3.\nAnswer: -286114*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 6. Let j be d(0). What is the units digit of 3\/j*-2 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -128, -198, -248, -272, -264, -218?\n\"Answer: a**3 + a**2 - 94*a + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*w - 155*w + 192 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y - 4787 + 1779 = -42*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-6))\/(24650\/2958) - -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**2 + 8*u - 7. Let x be k(5). Calculate the remainder when x\/12 - 6 - 2\/3 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11692158.\nAnswer: 2, 3, 17, 79, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137320 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:41 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 650873 divided by -45\nAnswer: -650873\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 114388*g. Let v(q) = -q. Give v(s(i)).\nAnswer: -114388*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 361531822 a multiple of 1082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1135404 - -2?\nAnswer: 1135410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 2*m**5 - m**5 + (2*m - 2*m + m**3)*(2*m**2 + 2*m**2 - 2*m**2) - 1820*m**4 + 1820*m**4 - 75*m**5.\nAnswer: -71*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = y - 10129, -118*z = y - 116*z - 10141. List the prime factors of y.\nAnswer: 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -i + 2*f, -3*i + 4*f - 24 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3170229 and 0.04?\nAnswer: 0.012680916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 387\/5. Which is the nearest to 0.1? (a) -7 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * 16.\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184*b**6 - 5*b**2 + 239 wrt b?\nAnswer: 22080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*m**3*p + 1551*a*m*p**2 + 22*a*m + 2*a*p**2 + 258*a - 4*m**3 with respect to p.\nAnswer: a*m**3 + 3102*a*m*p + 4*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 561 + -129. What is the greatest common factor of 32 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 10 - 3*k + 25*k**2 - 24*k**2 + 10*k. Let r be f(-7). Suppose -7*j - 81 + r = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -24 - -134) + -80?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -5*q + q, 3*q - 1 = 4*g. Calculate the remainder when 17 is divided by 1 + 10\/(-2 - g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001320683 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -23) + -2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22467, 22466, 22465?\n\"Answer: -t + 22468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*l + 20 = -0*h, -2*h + 20 = -4*l. Let p be 5*-2*h\/(-20). Solve 0 = t - p*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290100 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008880936 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by -6\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**47\/(l\/(((((l*l**21)\/l)\/l)\/l)\/l*l)*l) assuming l is positive.\nAnswer: l**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*62\/55335*-45.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let x(u) = -33*u**3 - 4*u**2 - 4*u. Let j be x(-4). Let b be j\/54 + 4\/(-18). Let q(y) = 38*y + 6*y**2 - b*y. Determine q(t(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 1. Let u be m(-21). Let r = u - 30. Round r to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 + 100. Let w = -23 - q. Suppose -15*v + 10*v + w = 0. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 26*m + 77. Suppose -6*x - 285 = -21*x. What is the tens digit of n(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696645.1 nanometers in meters?\nAnswer: 0.0006966451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g**2 - 14300*g - 28597. What is b(-2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - 2 - 5) - (5 + -87 + -20)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**8\/6720 - n**7\/1260 - n**6\/240 + n**5\/40 + 5*n**4\/24 + 8*n**2. Let g(a) be the second derivative of z(a). What is g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107465705\/6 or 17910951?\nAnswer: 17910951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2319*g - 2256*g + 4579*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -454 divided by 1\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4 + 5114*t**3 + 20482*t**2 + 15366*t = 0.\nAnswer: -3, -1, 0, 2561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 - 107.04. Let y = 0.06 + -0.1. Let t = q - y. What is the nearest to -1\/2 in t, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7508 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 - 28695*t**2 + 68545125*t + 343443375 = 0?\nAnswer: -5, 4785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 241\/77 + (-8)\/(56\/21). Let s = 3\/11 - g. Which is the third smallest value? (a) -0.2 (b) -0.3 (c) -5\/4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*p - 4*g + g, -26 = 2*p - 4*g. Let o = p - -7. Sort -4, o, 4 in increasing order.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*j - 7*j. Suppose -16 = -4*n + 2*l, -2*l = -0*n + 5*n - j. Let d = n - 2. Is 1\/17 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, x: 6, s: 2}. Give prob of picking 2 x.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26699 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(60) - (sqrt(420)\/(sqrt(7)*-1 - sqrt(7)) - sqrt(60))))\/((sqrt(192) + 2*sqrt(192) - sqrt(192))*6).\nAnswer: 5*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1213, -2444, -3671, -4894, -6113?\n\"Answer: 2*k**2 - 1237*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b**2 - b + 1. Let d(j) = j**2 - 23*j - 74. Let p = -936 + 962. Let r be d(p). Let s(f) = 5*f**3 - 9*f**2 - 3*f + 4. Give r*s(h) - 18*i(h).\nAnswer: 2*h**3 + 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i - 10. Let k be w(8). Let v be (-98)\/(-3)*k\/(-60). Let f = v - 46. Solve f*q + 6 = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-15))\/((-42)\/140 + (-1)\/(-2)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/11)\/((-255)\/(-306))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 3*c + 2. Let o be q(-4). Let t be 1\/(-6) - o\/12. Suppose 5*j - 1011 + 206 = t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*f**2*y**4 - 5*f**2*y**3 - f**2*y + 2*f*y**2 + 2*y**4 - 29425*y**2 wrt y.\nAnswer: 1512*f**2*y - 30*f**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 4*v + 4*v + 2 - 2 + v + (2 - 4 + 1 + (3 - 2 + 2)*(-2 + 7 - 3) - 1 + 0 - 1)*(4 - 4 - 4*v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 50600*h. Let z(d) = -1002*d. Give -5*s(p) - 253*z(p).\nAnswer: 506*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 221*y - 221*y + 1303*y**4 + 2839*y**4 + 4*y**4 + 2*y**4 - 3*y**4 + (-1 - 4 + 3)*(0*y**4 + y**4 + y**4).\nAnswer: 4141*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1141 (b) 3 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 90 = 21*h. Find q, given that -85*q**2 - h*q**3 - 155*q + 6853 + q**3 - 6928 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-866)\/(-42) + 2\/(-7). Let p = -20 + v. Let s = -0.34 - -1.34. What is the biggest value in s, -4, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417\/1 - (-2 + -10 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 147*t + 51 + 48 - 96*t - 148 to j + r*t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = 5*w - 5547. Does 42 divide 1\/(-3) + w*3\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 1\/90*v**4 - 1\/5*v**2 - 2\/45*v**3 + 8*v + 0. Factor m(a).\nAnswer: 2*(a - 3)*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -14*k + 82 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((sqrt(50) + -2)*-3 + sqrt(6)\/(sqrt(12)\/sqrt(4)) + 0)**2)*-1.\nAnswer: -1008*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 2133 + 527 = 0. Suppose -153*m = -155*m + g. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-14)\/k*k)\/k)**(-21)*(k\/(k\/(k*k**14\/k)))**(-2\/29))**50 assuming k is positive.\nAnswer: k**(455350\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91\/62 + 2379\/248. Let i(k) = -k**3 - 25*k**2 + 186*k - 44. What is the common denominator of r and i(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbbbbbqbq. What is prob of sequence qfb?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-3\/11)*((v**(-1)\/v)\/v*v)**(-9\/7) assuming v is positive.\nAnswer: v**(948\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01146193359 rounded to four dps?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 755 and 99.\nAnswer: 74745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -t + 8, 4*t - 36 = 20*k + 8*t - t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*m = 6*r + 1, 8 = 2*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505337631?\nAnswer: 3, 13, 31, 1523, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112845 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 0.0263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 2. Let w(b) = -3*b**2 + 5*b + 49. Let u(i) = -3*o(i) - w(i). What is the derivative of u(q) wrt q?\nAnswer: 6*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840846453 a multiple of 5167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3\/k)\/k)**(2\/37))**(34\/7) assuming k is positive.\nAnswer: k**(68\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -5*n**4\/6 + 7*n**2 + 12*n. Let r(u) = 2*u**2 - 3. Let w(g) = 14*r(g) + 3*y(g). Let h(z) = z**2. Give h(w(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from fywsfsfsnff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1455 + l**2 - 9992*l**3 - l**2 + 19986*l**3 - 9993*l**3 to u*l**3 + s*l + x + q*l**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 15 - 25)*(2*o - 2 + 2*o + 3*o) to j*o + u and give j.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3624669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s + 1 = 0. Suppose -3*v + i = -v + s, 2*i - 18 = -4*v. Suppose 27 = -v*m + 5*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.1, -88, -45, -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/13 + (7 - 445\/65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.62 - 3. Let d = k - -0.295. Round d to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 60*d + 471. Let p be a(7). Calculate the greatest common divisor of 33 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (9 - (0 - 1)) + -152 + 195?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1095.09 to the nearest ten.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -106.\nAnswer: -35\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17450 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25587.\nAnswer: 3, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 72*z**3 - 128*z**2 - 60*z.\nAnswer: 4*z*(z - 5)*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 2*a + 0 - 139 - a.\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a factor of 300618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -43*i + 8. Suppose 0 = 8*u + 88 + 32. Is p(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -209*m**3 + 31*m**2 - 12*m - 12. Let y be w(14). Round y to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 3 + 18, 0 = -5*w - 4*c + 47 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - 37346\/426)\/((-19)\/9 - (1 - 3))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 15934*u\/3 - 451844.\nAnswer: -2*(u - 7881)*(u - 86)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - (4 + -3 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-6)\/(-4))*2. Calculate the smallest common multiple of 3 and 1*(f + 13 + -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 4*c + 2*c)*(-4 - 3 + 5)*(8 + 15 - 2) to the form j + t*c and give t.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101100122200 - -10?\nAnswer: -11101100122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*x + 8 - 7.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*n**5*v + 2066094*a*n**4*v + 16*a*n**2 + 4*a + n**2*v - 27*n**2 - 3*n*v wrt n.\nAnswer: -60*a*n**2*v + 49586256*a*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2 - q**3 + 7*q + 3*q**3 + 8*q**3 - 11*q - 9*q**3 + 3*q**2. Let o(b) = -b**3 - b**2 + b - 1. What is -i(x) - 4*o(x)?\nAnswer: 3*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 3)*(-8*u**3 + 3*u**2 + 11*u**3 + 16*u**3) to the form j*u + t*u**3 + b + z*u**2 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 - 22204492*r**2 + 66613424*r + 88817920 = 0?\nAnswer: -1, 4, 5551120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 10*h + 12. Let j(r) = -r**3 + 6*r**2 + r + 3. Suppose -20 = -4*o + i, -3*i + 2*i = -4. Let y be j(o). What is the units digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Is -1 - (0 + -67) - m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-5.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzky when four letters picked without replacement from {o: 4, k: 4, z: 1, i: 5, y: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -33 - 9 + 29*i - 10 - 20. Calculate n(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(300) - ((2 + 1 + sqrt(300) + sqrt(300) + sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300))) + sqrt(300)))**2 + 4)*3.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g + 4. Put g, 4, 0 in decreasing order.\nAnswer: 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from zuuuukgbdkbz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*g - 4*g + 8*g)*(-165*g**2 - 4*g + 22*g - 16*g) in the form l*g**2 + t*g + r*g**3 + j and give r.\nAnswer: -3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4326782*f**2 + 3*f*h + 6537530*h with respect to f.\nAnswer: -8653564*f + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 6. Suppose -d*a + 8 = -10. What is the smallest common multiple of a and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6478481 to the power of 1\/2, to the nearest integer?\nAnswer: 2545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -x - 2*x. Suppose r = 4*r - 2*d - 43, 5*r - 4*d - x = 0. Suppose -5*n + 27 = r. Solve c + 2 = -n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*f = 298*f - 861*f + 110449 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/64*(-6)\/9.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1007 - -5051\/5. Let t be -13*(-2 - 2)\/4. Let r = -10 + t. Is u greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 32*m**2 - 64*m = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aag when three letters picked without replacement from {g: 3, a: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y + 8. Let p be g(2). Let b(q) = 2*q + 1. Let n be b(4). Calculate the highest common divisor of n and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (762\/2)\/(29\/(-3) - -10). What is u rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 64108491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 191*x - 135. Let w be q(19). Suppose 5*j - g - 5188 = 0, -5*g - 398 = 3*j - w. What are the prime factors of j?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168525 is divided by 165?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1521492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 72 = -5*h, -5*h = y - 19 - 38. Let v be ((-5)\/20)\/((-1)\/h). Let o(w) = -2*w - v*w - 7*w - 2*w. Let n(j) = -j. Calculate o(n(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2828.3 rounded to the nearest ten?\nAnswer: -2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 2. Let b(s) = -3*s**3 + s**2 - 1. Let v be b(-1). Let k(d) = -5*d + v + d**3 - 3*d + 4*d. Determine -2*k(f) - 3*r(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 + 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2841 + 2840. Which is the smallest value? (a) 14 (b) x (c) -5\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1233\/(-7))\/(-9)*35\/90 and 79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 174.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 114\/15)*-75. Find the common denominator of -97\/92 and (-502)\/x - (33\/18 - 2).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.5 (b) -2\/5 (c) -167 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -1, 52, -1993, 15 in descending order.\nAnswer: 52, 15, 4, -1, -8, -1993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 494 = -3*w - 6*l, 0 = -2*w + 2*l + 320. Suppose 5*c + 2*u = -w, -c - 18 - 9 = -5*u. Calculate the common denominator of -37\/3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31354495, -31354499, -31354503?\n\"Answer: -4*u - 31354491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + h. Let s(v) = -7*v**2 + 3*v. Let o(f) = 6*s(f) - 17*x(f). What is the second derivative of o(r) wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37 and 155?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 91\/52*(-4)\/56. What is the fourth smallest value in 3, p, -3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/12 and -55\/8187.\nAnswer: 32748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4664072*k**2 - 5597113*k - 1.\nAnswer: -9328144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 678*y**3 + 14*y**2 + 21*y + 8. Let k be u(-8). What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 20*u**2 + 24*u - 55. Let t be c(21). Solve t = 7*h - 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30309 + 80971. What are the prime factors of n?\nAnswer: 2, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 4724016\/192 - (24\/64)\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from {m: 2, g: 5, n: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16))\/(((-462)\/(-48))\/(-7)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t)**44*t**(2\/19)*t*t\/(t*t*(t*t**0*t*t)\/t) assuming t is positive.\nAnswer: t**(1009\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2988578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3898 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*c + 4 = -13, 5*c + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 489641 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 355. Let b = k - -242. Solve 0*t + 12 = -b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**3\/6 - j**2\/2 - 6*j. Give n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - 14) - -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14180026 is divided by 444.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 328*g**2 - 573*g + 2. Let h(w) = 661*w**2 - 1148*w + 6. Let l(n) = -5*a(n) + 2*h(n). What is the second derivative of l(u) wrt u?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17850 is divided by 997?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-594)\/33)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79358 + -25275. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and -73\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**2. Let f(v) be the third derivative of 7*v**5\/60 + 34*v**2 - 2. What is 6*b(n) + 5*f(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 32806.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 22*o**3 - o**2 - o + 2. Let l be p(1). Suppose -5*d + l = 17. Put -4, d, 2 in ascending order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 4\/6231, 1, 376?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375*a**2*f**3 + 49*a**2 - 3*a*c*f**3 + a*f**3 - c*f**3 - 13*c - 5*f**2 wrt f?\nAnswer: 2250*a**2 - 18*a*c + 6*a - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 48\/20) + (-7577)\/(-5). Suppose -k + 8 + 7 = 3*i, -5*k - 15 = 0. Suppose m = i*m - r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 0.1, -5446.\nAnswer: -5446, -1\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(4))**2 + -4)*4 - (-2 + (3 + sqrt(13))*-3).\nAnswer: 3*sqrt(13) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -895 + 151016.\nAnswer: 150121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**7\/350 + 9*t**6\/100 - 12*t**5\/25 + 23*t**4\/20 - 3*t**3\/2 - 2201*t**2. Let h(r) = 0. What is r?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -43. Suppose i = 2*i + j. Let d = i - -105. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/60 - f**4\/24 + f**3\/6 - 9*f**2. Calculate j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l*o**3 - 334*l*o**2 + 8*o**3 + 284*o wrt l?\nAnswer: 4*o**3 - 334*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -9. Let i = j + 25. What is the highest common factor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*r = 16, -3*q + 3*r = 6*r - 18. Suppose -2*l = 5*v - 17, -5*v + v - 44 = -q*l. Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-110))\/((-381)\/6985)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 16. Suppose -x = r + 2*r, -5*r + p = 3*x. Calculate the lowest common multiple of (14\/(-6) - -2)\/1*(45 + -47 + -16) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2847*r**3*y**3 - 9*r**3 - 309*r*y**2 + 4*y**3 wrt y.\nAnswer: -17082*r**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by 4.\nAnswer: 213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:03 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 68601*g**2 + 4*g - 69055*g**2)*(-5 - 1 + 0).\nAnswer: 2724*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -80. Let o = m - 26. Put o, -1, -7\/4 in decreasing order.\nAnswer: o, -1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131550*b**4 + 0*b**2 - 131668*b**4 + b**2 - 2*b**4 + 4*b**4 + 0*b**4 + (-6*b + 6*b - 3*b**3)*(3*b + b - 2*b).\nAnswer: -122*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -1\/27*c**6 - 2 + 0*c**5 + 1\/9*c**4 + 0*c**3 - 1\/9*c**2 + 0*c. Factor z(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*u - 6, -2*u + h - 12 = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112357.\nAnswer: 7, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 30*s**2 - 53*s + 44. Calculate n(28).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h = -5*g - 8, -5*h + 19 = -g. Which is the closest to h? (a) 0 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q + 10 = 0. Suppose q + 3 = 2*o. Let f be (-1)\/o - (-153)\/36. Solve f*v - 9 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8001305 is divided by 2328?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736109, -1472292, -2208475?\nAnswer: -2944658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -3.2, -1, 81 in decreasing order.\nAnswer: 81, -1, -6\/5, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**3 - g**2 - 3*g. Let b(o) = -15*o**3 + 2*o**2 + 8*o. Give 3*b(p) + 8*t(p).\nAnswer: -5*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -78, -63, -32, 21, 102, 217?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 69. Find the first derivative of 4061*s - 56*s**a - 4059*s + 26 + 68 wrt s.\nAnswer: -168*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 4, 0*p - 8*p + 27 = 2*u + 193 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - (4 - 12 - -25 - 45)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10021 + 1113203?\nAnswer: 1123224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 - a92b88?\nAnswer: -a92b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321\/5 + -64. Let q = 8 - 3. Suppose -q*u + d - 6 = 0, -2*u + 0*d = -4*d + 6. Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 5*v - 15. Let c(w) = -6*w**2 - 5*w + 16. Let f(s) = -6*c(s) - 7*o(s). What is the tens digit of f(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/60 - 59*h**2. Let i(z) = 23*z + 5. Let r(v) = 35*v + 7. Let g(a) = 7*i(a) - 5*r(a). Give d(g(k)).\nAnswer: -196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let k be 84\/22 - (-2)\/11. Let j = k + -2. Solve c = -z*a + 19, -j*c + 2*a = -3*a + 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 16) to base 5\nAnswer: -2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 17. Suppose -u - i = -108, 2*i + 2 + g = 0. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -346545 divided by 6795\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 3, k: 3}. What is prob of sequence ekkl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-3*f + 0*f - 2*f)*(0*f**2 - 4*f**3 + 0*f**2) - f**4 + 0*f**4 + 0*f**4.\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599 + 2055 = -234*z + 182*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 2*v - 5. Let j be r(4). Suppose -j*q + 18 = -27. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x**4 + 148*x**3 - 532*x**2 + 368*x + 384 = 0.\nAnswer: -6\/11, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 621.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/3640 and -29\/936390?\nAnswer: 3745560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 12) + (74 - -23 - (-14 - -3 - -11))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112.8 - 127. Let o = 23 + n. Round o to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39aa9 (base 15) to base 3.\nAnswer: 100101022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 195\/156*32\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5 = 2*l. Let i(v) = -8*v - 4 + 1 + 4. Calculate the least common multiple of i(l) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 1320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 501, 482, 463, 444?\n\"Answer: -19*r + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1042)\/6*(16 - (55 + -30)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-35) - (-2 + -1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 100. Suppose -l - 2*n + d = 3*n, n = 2*l - 16. Suppose -l = -6*z + z. What is the lowest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*d**2\/3 - 1183*d\/3 - 686 = 0. Calculate d.\nAnswer: -98\/61, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*t = 48, 3*j - 84*t + 81*t - 30 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 1, c: 1, j: 1, r: 1}. What is prob of sequence dc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -26. Suppose 2*t - a*j - 4 = -4*j, 0 = -3*t + 5*j + 19. Suppose 0*h + h = 4, 282 = 2*n + t*h. Calculate the greatest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3303841.\nAnswer: -5\/3303841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1623 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/844 and 39\/78070.\nAnswer: 156140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 13923, -4\/7 in descending order.\nAnswer: 13923, -4\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8243 is divided by 604?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -492275 and -446.72613.\nAnswer: -492721.72613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-28)\/56)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3364526*1.14\nAnswer: 3835559.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) -1 (c) 3\/5 (d) -12 (e) -188\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146739 is divided by 580.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1694 - 1692. Sort n, -1, -1\/4 in decreasing order.\nAnswer: n, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -61, -147, -279, -463?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2473*z + 41*z**2 + 2473*z + 62*z**2.\nAnswer: 103*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 47\/2. Let l = -12 + s. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((sqrt(16)\/sqrt(4))\/sqrt(2))**2)*-6 - (5 + (sqrt(18) - (sqrt(18) - (sqrt(18)*-1 + 5))))**2) + 5.\nAnswer: -125 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 43 + 48. Solve i*t + 40 = 17*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3401423, 6802990, 10204557, 13606124, 17007691?\nAnswer: 20409258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (102\/5)\/((-27)\/(-90)). Suppose 4*p = 4*j - d, 66 + 11 = 5*j - p. What are the prime factors of 12*-2*(-5)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 4. What are the prime factors of h(10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 2. Let p be n(3). What is the greatest common divisor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35585 divided by -7117?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - j - 3. Let h be k(3). Suppose g - 12 + 0 = -3*v, -3*v + 12 = 3*g. What is the second derivative of 2*s**4 - h*s + 10*s - 3*s**v wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*i + 12 - 8, 0 = 3*s + 5*i + 8. Calculate the greatest common divisor of s and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 14, -1903\/8.\nAnswer: -1903\/8, -52, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143633436 divided by -6\nAnswer: -23938906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -85468210.32 rounded to the nearest one thousand?\nAnswer: -85468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.49 - -17.49. What is the biggest value in 29, r, 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 5*r, 3*r + 23 = 5*q + 5*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:04 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqgggzggqq. What is prob of sequence zzzg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -185549112 divided by 30924852?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = -35. Suppose 0 = -w + m*w + 844. Is (0 - w) + (-3 - -3)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311983 + 311983 + 30*p**3)*(2*p + 2*p - 7*p).\nAnswer: -90*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74434244 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4412.2 - 4409.2. Let k = 4 + -7. Which is the biggest value? (a) v (b) 2 (c) -4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 + 22 - 15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -463, -1564, -3711, -7252?\n\"Answer: -58*s**3 - s**2 + 6*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4\/f*f*f**(-4)*f*f*f)**(3\/8) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -899 + 904. Suppose v*k = 85*i - 82*i + 3, 5*i = 2*k + 14. Calculate the least common multiple of i and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -47*m**2 - 14*m + 14. Let s be k(3). Let u be (8\/11)\/((-82)\/s). Solve 5 = u*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6820\/2387 - 276\/(-70)?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/25, -446, 3?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 5*l + 5. Suppose -111 = -16*h - 15. Let o be s(h). Are 12 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1925 - 0.0925. Which is the biggest value? (a) 98 (b) -1\/3 (c) l (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 86, 273, 638, 1241?\n\"Answer: 10*c**3 - c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Suppose 0*t + 16 = r*t. Let k(n) = -n - 10*n - n - t*n. Let z(p) = p**2. What is k(z(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*x + 236 = -160*x. Solve 0 = 4*n + 3*q + 23, x*q + 27 = -6*n + n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*b**2 + 46 + 353*b**2 + 4*b + b + 0*b.\nAnswer: 2*b**2 + 5*b + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r - 29*r + 85*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from bsffaffssfswssbss?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/2 + 25914*f**4 + f**3 - 51828*f**2 - f\/2 + 25914 = 0. Calculate f.\nAnswer: -1, 1, 51828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51906427897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/1043 in 1\/7, -0.01, 1.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1276, 2499, 3716, 4927, 6132, 7331?\nAnswer: 8524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from peyllllplyeel.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, n: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u - s, 0*u - 4*u + 14 = -3*s. Solve i + 3 = -u*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (28\/6)\/((-8)\/(-84)) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 60 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 32\/7 (b) 297 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k**3 - 2*k**2)*(122 - 24 + 8).\nAnswer: -106*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5791*w + 2405 = 5856*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4\/4 + 4*i**3\/3 + i**2 - 3*i - 2. List the prime factors of a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = -5, 5*d + 6 = -r. Suppose 0 = -2*h + 3*z - r, 5*h = 4*z - 12 - 25. Let t = h - -9. Solve 0*n = -t*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.5. Let t be 16\/12*6\/4. Which is the third smallest value? (a) p (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2 + 150. Suppose -2*m + 8 = -y - y, 0 = 2*m + 4*y - q. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:17 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19096272?\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9352 and 375494.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d6 (base 15) in base 16?\nAnswer: -36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 510775*n**2*z**2 + 2*n**2 - n*z**2 - 3320272*z**2 with respect to n.\nAnswer: 1021550*n*z**2 + 4*n - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Suppose -2 = -s*q - q. What is the second derivative of 3*z**2 - 4*z**2 + q*z**2 + 2*z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 198.5 (c) 0.2 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*g, -26*g + 44*g = -2*c + 25*g - 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 0 + 0 + (1348 - 110*n - 1348)*(-6 + 7 + 13) to the form l*n + z and give l.\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/48 - (14 - 7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9188 - -9213. Solve 23 = 2*u + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1306, 2607, 3898, 5173, 6426, 7651?\nAnswer: 8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1905 + 850 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*r**4 + 51*r**3 - 6*r**2.\nAnswer: -3*r**2*(r - 1)*(15*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 4, b: 3, o: 9}. Give prob of picking 2 b.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31811 + -63623\/2. Let h(q) = -q**3 - 5*q**2 - q - 7. Let u be h(-5). Let r = 4 + -2. What is the closest to b in u, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (62\/6)\/(3\/(-18)) + -2. Let t = 66 + x. Solve 0 - 2\/9*k**4 + 0*k**t + 2\/9*k**5 + 0*k + 0*k**3 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afah when four letters picked without replacement from {f: 4, k: 4, a: 2, h: 2}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x - 18 + 9 + 3*x + 1 - 2*x + 3 - 3 + (3*x - 4*x + 3*x)*(2 - 1 + 1) + 1 - 1 - x - 59*x - 48*x + 79*x to the form t*x + r and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 greater than 4966\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 6. Let a be r\/(-5) + 182\/70. Solve -p + 3*k = p - 3, -2*k - 12 = a*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1527, 1544, 1579, 1638, 1727, 1852, 2019?\n\"Answer: c**3 + 3*c**2 + c + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427570?\nAnswer: 2, 5, 142757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1415 + 1485.7. Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:01 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = y - 5. Find the third derivative of 2*f**4 + 2*f**4 + 3*f**4 - 6*f**4 - y*f**2 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 91\nAnswer: 53\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236001362 to the nearest integer?\nAnswer: 15362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.5. Let a = 2.9 - -1.6. Let g = t - a. Which is smaller: g or 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5111 (base 7) to base 15.\nAnswer: 7d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 31 + 8)*(2*v - 6*v + 2*v).\nAnswer: -276*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from fssbuosbbfc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let i = 1.9 + d. Let l be (-3)\/(-8) - (-11)\/(-44). What is the third biggest value in l, i, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 3*u - 1. Suppose -5*n + 20 = -0*o + 2*o, -n + o = 3. Let w be h(n). Let r = -36\/11 - -263\/77. What is the second biggest value in r, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 229 + 39 = -19*a, b - 26048*a = -26049*a + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4019, -8038, -12055, -16070, -20083, -24094?\nAnswer: -28103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1372947, -2746028, -4119109, -5492190, -6865271, -8238352?\n\"Answer: -1373081*f + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7238*q - 7179*q + 2537 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1605\/36242?\nAnswer: -1605\/36242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/2)*l*l**(3\/2))\/(l**(1\/2))**47)\/((l*l**1)**(-41)\/((l\/((l\/((l**(2\/19)*l)\/l))\/l)*l)\/l*l**2)) assuming l is positive.\nAnswer: l**(2303\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(84)\/sqrt(63) + sqrt(12)) + ((sqrt(33)\/sqrt(3))**2 + -3)*-6.\nAnswer: -48 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/2975*187)\/(2\/(-7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 + (36\/(-4) - -3) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 32*c**2 - 12*c - 6. Give w(-2).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4998*k**2 - 2202*k**2 - 2301*k**2.\nAnswer: 495*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(((-9)\/(-2))\/(-1)))\/(5376\/3456).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 = 3*o - 0*o, -3*o = -d + 19. Calculate the greatest common factor of 44 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-2880))\/(-6 + 328\/64)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, 1 v, and 1 g when four letters picked without replacement from ipvgiiyppippyvvvvi.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 3. Let r(a) = a. Let d(i) = c(i) + 2*r(i). What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*o + 0)*(-59 - 121 + 247)*(-17*o - 22 + 22)*(1 - 1 + 2) to q + v*o + n*o**2 and give n.\nAnswer: -4556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*x - 2, 2*x = 4*j - 3*x - 5. Suppose j = -4*l - 5*s + 798 - 23, -l + 199 = -4*s. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 2282?\nAnswer: 57050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6 = 4*t, -3*t + 1 = 3*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2.88.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2625 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 23. Let i(z) = -z**2 + 4*z + 1. Let u be i(k). Let b(j) = 42*j**2 - 5*j - 2. Let n be b(u). What is n rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/22 = -0.507466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4935 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*q**3*v**3 - 582*q**3*v - 2*q**2*v - 3*q**2 + 162*q + 43147*v**4 wrt v.\nAnswer: -174*q**3*v + 517764*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/7))\/p)**(11\/7))**30*(p**(-1\/2)\/(p*p*(p\/p**(-3\/8))\/p))**(-23) assuming p is positive.\nAnswer: p**(31201\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200, 1678, 4142, 7592, 12028?\n\"Answer: 493*j**2 - j - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.96 - 0.96. Let k = 40.4 - r. What is k rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 185. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56644 or -49202?\nAnswer: -56644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28841308*l**2 - 56628700.\nAnswer: 57682616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.4 (c) 232351\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -12. Put 0.2, v, 2 in descending order.\nAnswer: v, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svabe. Give prob of picking 1 b and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - -4 - 341\/(-77). Which is the second smallest value? (a) 0.5 (b) 0.18 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1217, 1470, 1723, 1976?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*60\/75?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/13, 58\/63 in descending order.\nAnswer: 58\/63, -3\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -5 + 3 + (-2656 - -2639)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 19*q + 5. Let g(i) = -5*i**2 + 9*i + 8. Let u(x) = 4*x**2 - 9*x - 7. Let f(p) = 5*g(p) + 6*u(p). What is -5*f(r) - 2*v(r)?\nAnswer: -r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 20. Let d be g(-9). Suppose w - d*h - 37 = 0, -3*w + 3*h + h + 117 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*w**3*y + 8*w**3 + 2*w**2 + w*y + 2*w + 73 wrt w?\nAnswer: -486*w*y + 48*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 643, 984?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppa when three letters picked without replacement from {a: 1, q: 3, p: 9, v: 4, z: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**3 - 160*k**2 + 1600*k = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 - -20)*1386\/35. What is the greatest common factor of 20724 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824 by -11.\nAnswer: 824\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3465 divided by 5.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (9 - (-17 + 20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 390, 872, 1546?\n\"Answer: 96*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 106339761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g + 54*g - 111*g.\nAnswer: -124*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a + 42*a - 2*a to the form g*a + o and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23509 divided by 25?\nAnswer: -23509\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 3933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 7) + (44 - (-6 - -13))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198112456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 7. Let s be z(-7). What is the units digit of (2 - -4) + (-2 - s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 - 7)*(-3 - 1 + 3)*(3*k - 8 + 8)*(-k**2 + 0*k + 0*k).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8621 + 8620.9. What is the biggest value in i, 5, -38\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 19. Does 10 divide v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23679 + 50223. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6395 is divided by 2107?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 - 79*o**2 + 19*o + 57. Give u(-10).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 66, 4, 1\/41, -4?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k + 4*k - 4*k**2 - 17*k. Let j(v) = -4*v**2. Give j(b(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 338 + 77*p**2 - 338 - 79*p**2. Let d = 1 - -1. Let a(b) = -d*b**2 + 0*b**2 - 4*b**2. Give m(a(s)).\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 20 = 4*l. Let f be (-1)\/(-4) + (-6)\/l. Suppose 0 = -93*w + 88*w + 10. Solve j - f = w*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 1352.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 550.5674 millennia?\nAnswer: 550567.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/3, -10\/9, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -71. Let a = s + 84.000071. What is a rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/2 + (1015 - 7)\/16. Suppose -150*a = -127*a - t. Factor 1\/3*i**4 + 1\/3*i**3 - a*i**2 + 11\/3*i - 4\/3.\nAnswer: (i - 1)**3*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = -11. Let b(l) = -3*l - 2. Let d = 0 - -1. Let q(s) = s - 1. Let i(o) = d*b(o) + 2*q(o). Determine i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 6, 0 = 2*p - 4*n + 6. Let j be ((-4)\/(-5) - 1)\/1. What is the closest to 1 in j, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:29 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14727 + 8914.17.\nAnswer: 23641.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 3, z: 3, k: 1, c: 3}. Give prob of picking 2 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -52. Put 3\/5, -0.3, t, 0.3 in decreasing order.\nAnswer: 3\/5, 0.3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.8 - -13. What is the third biggest value in 13, 4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 8*j - 5*o - 94 + 57, 0 = 16*j - 11*j - 2*o - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -298 times -0.054464\nAnswer: 16.230272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 14*u + 12*u + 5*u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 - -4) - (-8 + 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s)**(-17)\/(((s*s*s*s**(-3\/2)\/s*s*s)\/s*s)\/s*s*s)**(-16) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 b when four letters picked without replacement from ottkbsktbkbmttbt?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Differentiate 6*a + 3 - o*a - 2*a**3 with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 15. Suppose -l = g - 2*g. Suppose -g*y - 4 = -16. Which is smaller: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*f - 142 - 442 = 80 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20999875 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggbg when four letters picked without replacement from bzjgbgzgbajjbggbjbj.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.3 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13991*a + 37*a**2 - 13 - 6983*a - 3*a**3 - 6981*a.\nAnswer: -(a - 13)*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/100*5 - (-130)\/50. Solve k*g - 4*g = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*d + 33 = m, -5*m + d + 115 = 0. Suppose 3*s = 7*s + m. Let o(z) = z + 6. Determine o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -287969*m - 287999*m + 575944*m + 672 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152041762 and 1558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -1\/15*v**5 + 1\/6*v**3 + 4*v**2 + 1\/60*v**6 + 0*v + 0 - 1\/6*v**4. Is c(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/4 - (-217)\/(-434)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 16*w - 120. Let x(m) = m**3 + 4*m**2 + 9*m + 9. Let z be x(-3). What is the remainder when l(z) is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058251.\nAnswer: 13, 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o**6*o\/((o**(-1\/5)\/o)\/o)*(o*(o**(1\/9)*o)\/o)\/o)**(1\/28) assuming o is positive.\nAnswer: o**(71\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3924 - -8550. List the prime factors of m.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 24 + 50 - 40*s**2 - 17*s**2.\nAnswer: -57*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*x + 8, 0 = 3*x + d + 3*d - 10. Suppose k + x*o = 7*o + 17, -4*k - 2*o + 2 = 0. Suppose 0 = -k*v + 13 + 1. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/7, -4, 0.2 in decreasing order.\nAnswer: 3, 0.2, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -178.8?\nAnswer: 35.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122\/3 + -41. Which is the nearest to -1? (a) 4 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 482234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 73*c - 670 = 0. What is the greatest common factor of c and 12710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4*m + 2. Let x be (472\/(-177))\/(2\/(-6) + 1). Give n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**9)\/f**(-16))\/(f**(-14))**(2\/111) assuming f is positive.\nAnswer: f**(916\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 - 2*r. Let y be 55\/495 + 26\/9. Determine v(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187548*f**6 + f**2 - 2809.\nAnswer: -22505760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*f - 42. Suppose -4*a + j + f = -88, -2*a + j = -53. Factor 189*l - 151*l**2 - 54*l - a - 2*l**4 + 45*l**3 - 2*l**4.\nAnswer: -(l - 5)**2*(l - 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/3 + 539338*n\/3 - 72721369561\/3 = 0 for n.\nAnswer: 269669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-52)*(-4210)\/(-10525))\/(2\/20*-6).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-6)\/(-4))*0. Solve 4*n - n + 9 = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 636*t\/5 + 50562\/5.\nAnswer: 2*(t + 159)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/35)*d*d)\/d)\/(d**(-15\/2)\/d))**13 assuming d is positive.\nAnswer: d**(8593\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2323.74 and 670?\nAnswer: 2993.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (730\/5)\/(-2). Suppose -3*q + j + 3 = 0. Suppose -10*m = -5*m - q. Solve m*k + 7 = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -0.19, -3, 5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((0 + sqrt(176) + -4 - sqrt(176)) + -3*(sqrt(176) + (sqrt(176) - (sqrt(176) + -1*sqrt(176)))))**2 - (-4 + 2 + -1 + sqrt(1584))) + -5).\nAnswer: -38100 - 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542136 - 11*s**2 - 542136.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5286627 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/10 and 53\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 25*a**2 - 64*a - 40. Let w be y(22). Suppose -q = 5*n - 808, 0*n = w*q - 3*n - 3232. List the prime factors of q.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 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: -9 * 0.08\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214\/10 + 6\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17086312 is divided by 3417260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -938363052*l - 466569723 wrt l.\nAnswer: -938363052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068358267 rounded to four dps?\nAnswer: -0.0684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*w = 19, -w - 1 = 3. Is (-2)\/f + 5705\/45 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emm when three letters picked without replacement from eehmrerokhhoremreer?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**2 - 29 + 1\/2*r**3 - 7\/24*r**4 + 0*r - 1\/15*r**5 + 1\/120*r**6. Determine d(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437 = 10779*h - 66111 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 1.9 (b) -1\/5 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 25718 and 20.9853.\nAnswer: 25738.9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166588 + 15?\nAnswer: 166614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-26))**(-4\/19)*(z*z*z*z\/z**25)**26 assuming z is positive.\nAnswer: z**(-10270\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3997701297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 5 (c) 6 (d) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/22940 and 131\/22940.\nAnswer: 22940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:28 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120010 - -2?\nAnswer: -120008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.5, 187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36655000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 3862, -2?\nAnswer: 3862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 6*13\/(-13). Put 4, 0, 3, s, -4 in increasing order.\nAnswer: -4, 0, 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 = p - 9, 4*h - 5*p = 10. Suppose -h*o + 123 - 33 = 0. Suppose 3*g - g - o = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 22 = -u. Let w be (-8)\/(120\/(-35)) - u\/3. Solve w = k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -985, 1\/4, -3, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 + -6. Let g be (6\/(-4))\/((-25)\/10). Let j = -33.561 + -0.439. What is the nearest to j in g, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3176967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 4 - 4)*(2 - 2 + 1) + 3*s - 4*s + 0*s + 9*s - 6*s + 12*s)*(-1 + 1 + 3).\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 703063953 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0018 - 0.0017574. What is x rounded to six decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -38, 1\/4, 7\/3, -1\/2, -2, 14?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - x + 20, -2*x = 3*c + x. Suppose 5*r - 4*l - 35 = 0, c*r - 5 = -3*l + l. Factor -106*o**r - 2*o - 1 - 1 + 107*o**3 - 4*o**2 + 7*o.\nAnswer: (o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:55 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 0, -2, -101, -23, 0.4.\nAnswer: -101, -99, -23, -2, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 48 = 3*y, -18*r = -14*r + 3*y + 57. Put r, -2, -1 in ascending order.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**3 + 655*i**2 - 7018*i + 311. Determine j(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007872 to 6 dps.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71036, -71095, -71154, -71213, -71272?\n\"Answer: -59*m - 70977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(3 + (-73)\/27). Suppose 361*w - 368*w = -14. Are w and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/15 + 202\/15*m**2 - 2*m**4 - 64\/15*m**3 - 92\/15*m = 0 for m.\nAnswer: -4, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331 (base 8) to base 11.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*i + 85*i = 5*z - 15, 4*i = -2*z + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**2 + 7 - g**2 + g**2 + 8 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 16) in base 11?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:33 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 31*b**2 - 112*b - 44. What is w(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -144, -237, -366, -531, -732, -969?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 - 7*u + 8. Suppose f = -5*d - 27, 4*d + 30 = 1008*f - 1006*f. Give y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12019 + 17559761\/1461. Let z = -58418\/16071 - v. Find the common denominator of 1\/3 + 103\/24 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 1. Let n be 1\/l + 22731\/30. Let o = 757 - n. Find the common denominator of 29\/22 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3303 and 18?\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 7 (c) 2 (d) 0.03 (e) -2\/27 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - sqrt(500)*-2) + sqrt(500))*-2 + sqrt(500).\nAnswer: -70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12920*k + 6460*k + 6458*k + 2. Calculate u(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z - 13. Is k(7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-175)\/(-15)) + (-1840)\/(-25). Suppose -3870000 = -72*o + r*o. Round o to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q**3 + 3*q**3)*(0*q - q - 3*q)*(1 + 1 - 1).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + -2311?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10251*w - 872. Is b(39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1654159 in 0.2, 0, -0.3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*y**3 + (-2*y**3 - 3*y**3 + y**3)*(1 - 1 - 9) + 0*y**3 - y**3 + 0*y**3.\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-807)\/(-21))\/((-8)\/(-112)). Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1070495 and 1203767.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4))**(6\/5)\/(l*l*l\/(l\/(l**(-1\/3)*l))*l)**(1\/19))**(9\/5) assuming l is positive.\nAnswer: l**(447\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1180\/(-40))\/((-3)\/6). Let r = -52 + f. Solve r = 3*m - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2557829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -118 (b) 79.7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2306*u + 2301*u - 18605000 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-66)\/20)*15\/(-36).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -3, -5 in decreasing order.\nAnswer: -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(2\/(-12)))\/(-2) + -2. Let y(l) = 7*l**3 + l**2 - 4*l**2 - 3*l**2 + 8 - 5*l. Let d(h) = -6*h**3 + 5*h**2 + 4*h - 7. What is c*y(r) - 6*d(r)?\nAnswer: r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 43 = 5*p. Suppose 32*s - 27*s = -5*q + 130, 0 = 3*q - 3*s - 84. What is the smallest common multiple of p and q?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/3 - (-4)\/(-6). Let u = -1.05 + 0.15. Let q = -0.4 - u. Which is the second biggest value? (a) q (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 8. Let w(b) = b**2 - 5*b + 3 + 9*b + 3*b + 0*b**2. What is the units digit of w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-2\/23)\/g*g)*g\/(g*g**(1\/12)*g) assuming g is positive.\nAnswer: g**(1\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*g - 362*g + 4*v = -206*g - 20, 0*v = 3*g - 2*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276107 and 7608?\nAnswer: 6626568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61941141 to the nearest integer?\nAnswer: 7870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.58 and 73428962796?\nAnswer: 73428962795.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -187. Suppose 496 = 4*n + u. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -33, 3, 0.4, 15, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c - 2. Suppose 0 = q + 5*s - 27, c*s = -0*s + 12. Let j = -10 + q. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1650 and -0.9.\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10433730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/167, 0.9, 4.8, 2\/7, 12?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 58.795?\nAnswer: 53.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*u**2 + 0*u**2 + 22 - u**2 - 55 wrt u?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, i: 17}. What is prob of sequence ii?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.1 + -36. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*g + 86 = 0, -4*g + 176 = 2*w - 0*g. Suppose -2*h + 28 + 22 = 0. Let o be w\/h + (-4)\/(-10). Solve 5*p = 2*k + 7 - 2, -o*p = -2*k - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 7. Let d be r(3). Let h = 29 + d. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121300783.\nAnswer: 521, 232823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15969, -31944, -47919, -63894, -79869?\n\"Answer: -15975*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 1. Let k(w) = 54*w + 12. What is -34*h(f) - 2*k(f)?\nAnswer: 62*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*z + 20, 3 - 7 = z - 2*p. Solve -3 = -3*j - 2*m - 1, -z*j - 2 = -2*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 0.2 (b) -73 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/3 - (-1)\/3. Let y = w - -16. Factor y - 3\/2*i**2 - 3*i.\nAnswer: -3*i*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.33 + 33. Let i = -33.93 - l. Let y = -37 - i. Put -4, y, 3 in descending order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from abtdtxl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/15)\/(2\/10*(-36)\/(-360)*10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 50. Let q be 2\/(-4)*2 + f. Suppose -q = -5*s + s. Solve s*v + 6 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 31137*x - 185489. Determine y(6).\nAnswer: 1333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*9\/(-36))\/((-18)\/(-120))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3746 and 16.\nAnswer: 29968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -27 - 33. Solve r = 5*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 3. Let b(k) = k + 2. Let f be b(0). Let i be t(f). Suppose i*o = -3*p + 24, 2*p = p + 5*o - 12. Solve p*a = 5*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 223503.3 minutes?\nAnswer: 3725.055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -5*m**3\/3 + 43*m. Determine c(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.785 + 6.785. Which is the third biggest value? (a) -0.4 (b) -0.3 (c) 0.4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**3 + 6*y**2 - 19*y - 1. Is 7 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {e: 2, q: 5, s: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/36 - 2)\/((-1232)\/96 + 12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18762465.3 to the nearest one hundred thousand.\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 25*c**2 - 57*c + 160. Calculate h(23).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4378*h**2*r*u - 3*h**2*r + h*r - 27*r - 172*u wrt h?\nAnswer: -8756*h*r*u - 6*h*r + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 191 (b) -0.0926 (c) 1\/4 (d) -2 (e) 2\/59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -442 - -450. Let c be (22 - k\/(48\/(-30)))*33. What is the highest common divisor of 33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*v + 297 - 417 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990381 = 235*i - 3775131. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 7. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-50) - 5 - 2\/10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 12*b - 14*p, -202 - 157 = -3*b - 4*p - 324 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37696, -37698, -37700, -37702, -37704?\n\"Answer: -2*f - 37694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-56)*12391100\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/((((x\/(x*x\/x**31))\/x)\/x)\/x))))\/(x*x\/(x*x*x**(7\/8)*x*x)))\/((x*x**(-10\/13))\/x**2) assuming x is positive.\nAnswer: x**(-2221\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.011 + -1.011. What is the second biggest value in -5, r, -0.5, 3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 18*j + 8. Calculate l(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 4\/5, 5, -1\/179?\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-65)\/20)*(103 + -155)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118061 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - m + 1158, -5027 = -4*w - 3*m - 396. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 410, 685, 962, 1247, 1546, 1865?\n\"Answer: v**3 - 5*v**2 + 283*v + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 514 = 2*c, -c + 242 = -0*c + i. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*g**2 + 532*g**2 + 530*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8414 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 o when four letters picked without replacement from oeoeenxxexeeeenexenx.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -19 (b) 1 (c) -3 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -44*h + 2812. Determine f(64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 455*z**3 - 4980*z**2 - 19280*z - 25280.\nAnswer: -5*(z + 4)**3*(z + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62095 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183230 smaller than 5183231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70507820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/283792608 and 103\/7339464.\nAnswer: 851377824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -86, -106, -134, -170, -214, -266?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 170 + 14*x**2 - 152.\nAnswer: 14*x**2 - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -1\/4, -2, 1\/13, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (110\/15 - 8)*12 + 12295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2608 divide 57887168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430528 and 308.\nAnswer: 4735808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1)*2\/2. Let g(c) = 4*c + 2. Let w(r) = -6*r - 5. Let f(l) = m*w(l) - 5*g(l). What is f(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 1. Let k(w) = w + 5. Let c be k(x). Put 0, 4, c in decreasing order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-6)**2*-4*1.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*l**2 + 4*l**3 - 7*l**3 - 80*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*o + 0*o - 3227 = 0, -4*r - o + 2584 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 23 + 17. Let c = b + -6. Suppose 4*n - 510 = -c*z, 0 = -4*n - 0*z + 5*z + 517. Round n to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.0674 + -0.0674. What is the nearest to -3 in -0.1, m, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*a**3 - 91*a**3 - 122*a**3)*(-2*a + 5*a - 5*a) as q*a**2 + o*a + v*a**4 + z*a**3 + p and give v.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -x - 35, 6*d + 60 + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3, -4*d + 2*l + 40972 = -39738. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4*j - 22 = -9*o, 0 = -4*o - 4*j + 20. Suppose -7*i = -6*i - 126. Calculate the greatest common factor of o and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145882 divided by 13262\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4721 - -1 - (990\/(-220) + 6\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1274 + 16)\/(6\/8). What is k rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1636*k + 1646*k = 70 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(300)))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v + 76. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-5*z**3 + z**3 - z**3)*(-19*z - 5 + 5).\nAnswer: -285*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421878 less than 8621?\nAnswer: -413257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -31*p + 0*p**2 + 0 - 4\/3*p**3 - 14\/15*p**6 + 12\/5*p**5 - p**4. Factor s(x).\nAnswer: -4*x*(x - 1)**2*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 27 + 29 - 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39856*o**2 + 79708*o**2 + 2*o**3 - 39852*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10931 - 6192. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70418302 and 8.\nAnswer: 281673208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014147 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w**5\/7 - 74*w**4\/7 - 178*w**3\/7 - 30*w**2 - 122*w\/7 - 4 = 0. Calculate w.\nAnswer: -2, -7\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7682313, -15364631, -23046949?\nAnswer: -30729267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 11*v - 2808. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.11 - -0.11. Let n = w + 3. Let i be 10\/6 + (-1)\/(-3). Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4895980 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdddddxd. Give prob of picking 1 x and 1 d.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316964 by -158482.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2 and 2\/1041?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0 + 5\/6*p**4 - 1\/3*p**3 - 2*p + 0*p**2. What is the second derivative of x(m) wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268 - -259. Let u = -0.6 - -0.2. Let m(c) = -c**3 + 44*c**2 + c - 40. Let v be m(44). What is the third biggest value in v, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31101972, -62203942, -93305912, -124407882, -155509852?\nAnswer: -186611822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2431542 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.7543663 - 0.4511\nAnswer: 2.3032663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56051 is divided by 3111?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2)*c*c*c))\/c)**(-6\/11)\/((c\/(c*c*c\/((c\/((c**(1\/17)*c)\/c*c))\/c*c*c)))\/((c\/c**(2\/3))\/c)) assuming c is positive.\nAnswer: c**(832\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 times 0.184?\nAnswer: 29.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7135592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 + -171.1. Let y = 1923\/5 - 385. Which is the third biggest value? (a) q (b) -1.4 (c) y (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**4 + 12789*u**2 - 15752*u wrt u.\nAnswer: 24*u**2 + 25578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108333 is divided by 9027.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/631425782 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*h + 19 = 0, 5*h + 10 = -2*c - 8. Suppose -4*k - 25 = k. Is (k\/(-4) - c) + (-858)\/(-24) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2317 - -50.\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30960855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42 - 2276042060\nAnswer: -2276042102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 4316.\nAnswer: -37\/4316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 20 (b) 1.64 (c) 652\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 30. Calculate the lowest common multiple of 2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-7)\/(-63) + 14\/(-24). Which is the third smallest value? (a) 1\/3 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*18\/72*4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97128.44 millilitres in litres?\nAnswer: 97.12844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -0.16?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -3\/5, 0.3 in increasing order.\nAnswer: -3\/5, 0.3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-24) + (-13)\/3. Let c(d) = -d + 4. List the prime factors of c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13566 and 4104?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4 + 14830*j**3 + 10921920*j**2 - 110707200*j = 0.\nAnswer: -1488, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*9\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 84.3. Let v = -1.3 - t. Let w be (-2)\/(-5) + 192\/(-330). Which is the closest to v? (a) 2\/5 (b) w (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-20 + (-17 - -6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12430423 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1220 and 732.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.4. Let w be -11 - (-5)\/(360\/808). Which is the second biggest value? (a) 0.2 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94840 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 223, 1, 3 in descending order.\nAnswer: 223, 3, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g + 2, -2*u + g + 6 = 0. Suppose -k - 55 = -u*h, 2*k + k = -h + 45. Calculate the remainder when h is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.89 + 3.204. Let n = -0.054 + -0.156. Let k = n + v. Round k to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 63*s**2 + 35. Let a(f) = -7*f**2 - 4. Let x(k) = 35*a(k) + 4*o(k). Let w(y) be the first derivative of 2*y**2 - 25. Give x(w(p)).\nAnswer: 112*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2 + 3*t - 22. Is 32 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q = -684. Suppose -372*c = -435*c - 8694. Let j = c + q. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 - 264*u**3 - 3810*u**2 - 13176*u + 17253 = 0. Calculate u.\nAnswer: -71, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30033\/(-261) + 51\/((-32538)\/(-44))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g + 234 = 48*g + p, -3*p = 4*g - 322. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4)*22)\/((-7)\/21). Let m = 37 + u. Solve -3*h = 5 + m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*f**4 - 10138*f**3 + 1002990*f**2.\nAnswer: -336*f - 60828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260 - 1247 - (-3 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9463254799 - 49331.1536725201. Let m = -49335 - q. Let b = -0.1 + m. What is b rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -465146 bigger than 2\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 1139?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 1\/5, 5\/2 in decreasing order.\nAnswer: 10, 5\/2, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 15 - 29. Let g(t) = 6*t + 6. Let n(c) = c + 1. Let b be n(5). Let y be g(b). Calculate the greatest common factor of w and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -21635586?\nAnswer: 2\/10817793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -78.63812\nAnswer: 23.591436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5312 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: Let y(i) be the first derivative of i**6\/160 + i**5\/40 - i**4\/32 - i**3\/4 + 4*i**2 - 1. Let w(r) be the second derivative of y(r). Factor w(t).\nAnswer: 3*(t - 1)*(t + 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 454, 1689, 3714, 6529, 10134, 14529, 19714?\n\"Answer: 395*r**2 + 50*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 + 107 = -73*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 + c - 2. Let d be n(2). Let q = -0.2 + 1.2. Let w = 2 - q. What is the nearest to w in d, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 + 7*a - 1. Suppose 0 = -3*h + 9 + 12. Let o be f(h). Let w(c) = -7*c**3 + c + 1. Determine w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 3 (b) 4 (c) -30 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 874 by 19.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31393 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 7. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -32. Let s = y + 10. Solve s + 5 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 3. Let r(b) = -3*b + 8. Give 11*q(g) + 4*r(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*a**3 + 141*a**3 - 305*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -113. Let d = 5 - -17. Calculate the greatest common divisor of f and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/4)\/(18\/(-32)))\/((-12398330)\/502635)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12474\/5049)\/(1\/34)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {o: 5, a: 1, w: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*k + 57. Let j be (k\/3)\/(4\/(-6)). What is the remainder when (-63)\/j - (-14)\/91 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/65 and -37\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(1700)*-1*5.\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8501 (base 13) to base 14\nAnswer: -69dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 - 35*z + 30. Let a(t) = 3*t**2 + 18*t - 15. Let c(f) = -7*a(f) - 4*g(f). Is c(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9174 and 1518.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 895\/(-330) + 2 + 1\/6.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 5, -235?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_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: In base 9, what is 144 - -357?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208752 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2130 and 738897.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from iiiiiiiygigy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 2, l: 1}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -1, -81, -8, -3, -2 in decreasing order.\nAnswer: 149, -1, -2, -3, -8, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 5*d + 20 = 0. Let m(o) = 15*o - 4*o**3 - 8*o**3 + 7 + 9*o**3 + 2*o**3 + 3*o**2. Is 11 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a*a**7*a)**(4\/37)\/((a**0)**(-1\/14))**(9\/8) assuming a is positive.\nAnswer: a**(8\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j\/(j\/j**(-3)))\/j*j))\/j)\/(j**(2\/17)\/j)*j\/(j\/(j\/(j*j\/(j\/(j*j**(-10)*j)*j*j*j*j*j))))*j**(-5))**(-18) assuming j is positive.\nAnswer: j**(-3330\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -51 - (-10 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -562, -575, -604, -655?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 122*k + 59. Let o(q) = -q + 14. Calculate v(o(l)).\nAnswer: -122*l + 1767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 0. Let s = l - 1.99. Let u = s + 3. Are -0.3 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13274*f**2 + 53099*f - 9. Calculate r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**(2\/57) assuming f is positive.\nAnswer: f**(-4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - 80\/(-35). Suppose h = -0 + w. Suppose 2*p = 4*v - 51992, -v = h*p - 5*p - 12988. Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(5) - sqrt(45)\/(sqrt(144) - sqrt(9)).\nAnswer: -7*sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(6 + -9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.05 - -5. Let q = 5\/8 - 1\/8. Is p < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*l - 2\/15*l**2 + 82\/15.\nAnswer: -2*(l - 41)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 73*b**2 - b - 1. Let z(p) = 443*p**2 - 4*p - 38. Calculate 6*u(j) - z(j).\nAnswer: -5*j**2 - 2*j + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 9, -11, -47, -105?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -159. Suppose 3*n + 5*f - i = 0, -4*f = -n - 3*f + 30. Solve 4*p - n = -3*v, -3*p + 16 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3, -0.0022, 1\/514 in increasing order.\nAnswer: -0.0022, 1\/514, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.944152 grams in micrograms?\nAnswer: 6944152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/b*b)**(-1\/2)\/(b\/(b*b*b**4)*b\/(b**(-2\/13)*b))*(b\/(b\/(b\/(b\/b**(1\/5)))))\/b*b**(1\/2)\/b*b*b**(1\/2)\/(b\/b**(-1)) assuming b is positive.\nAnswer: b**(1321\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/30 - p**2. Let m(g) = 4*g**2 + 12*g + 6. Let j(s) = 3*s**2 + 10*s + 5. Let b(t) = -6*j(t) + 5*m(t). Calculate h(b(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7641*b**2 - 7*b - 33. Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 122460 = 189585. Suppose -26005 = g - c, i = -0*g - 4*g + 3*c. Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:09 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 3 - -4 - -4. Suppose -17 - 13 = -x*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11129580 divided by -2782395\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.7634 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 15 = p + 2*a, -p = -a - 6. Solve 2*y + p*y = -u + 7, -4 = 2*y - 3*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*j - 6 = 0, -5*y - 6 = -4*y - j. Let z(s) = 84*s + 1. Let v(x) = 428*x + 5. Let b(u) = v(u) - 5*z(u). Give b(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/102297 or -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-35)*(-3)\/2*(-42)\/45?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255211?\nAnswer: 11, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1920 - -1925. Let n = 6.7 - 8. Which is the biggest value? (a) x (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 + 115. Let w = f + 76. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b**(-2\/11))\/(b\/b**0*b)**(-12)*b*((b**(-1\/2)*b)\/b)\/b*b**(-1)*(b*(b\/(b*(b**(-1)*b)\/b))\/b)**(-50) assuming b is positive.\nAnswer: b**(-1849\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29238985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63905579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - w**5\/15 + w**4\/12 - w**3 - w**2. Let t be u(4). Suppose 4*n + 8 = 4*p, -3*n = -t*n - 3. Solve -p*b - 3 = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61*b**3 - 3660*b + 3841\/2*b**2 + 1800 + 1\/2*b**4.\nAnswer: (b - 60)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-120)\/(-16))\/(-5))\/((-3)\/(-8)). Let o(m) = -m**3 - 3*m**2 + 3*m - 4. Determine o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1444\/7 + (27 - (-11078)\/(-406)). Does -0.026 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - d + 5 = 1, -3*d - 1 = -4*w. Is 0*w\/3 + 79 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 17) + (-1 - -3 - (44 - 14))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71737229 by -2.\nAnswer: 71737229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65285?\nAnswer: 5, 11, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-2 - 0)) + 7 + -14 + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - 2*(-40)\/35. Suppose a*f - z = z - 66, -f - 5*z = 27. Let o = f + 32. Solve o = -5*v + v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4114 and 7018?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 243, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8667806.8 and -5?\nAnswer: 8667811.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10552.\nAnswer: 10552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - -e?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = 7. Let u(g) be the first derivative of m - 3*g + 0*g**2 - 1\/3*g**3. Differentiate u(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {x: 1, e: 3, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 24*v + 44*v - 8*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 16 + 17. Suppose 0 = 2*a + 4*j + 24, -j - c = -2*a + 2*j. Let z = -0.432 + 0.032. Sort a, z, -5 in decreasing order.\nAnswer: z, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgw when three letters picked without replacement from {w: 1, b: 4, z: 2, g: 2, q: 2, a: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let q be 1*4*49\/14. Let t = 38 + -27. Solve 5*b - q - t = u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-1 + sqrt(117) + sqrt(117))*3 + 5 + 3 + -2 + 3)*2)**2.\nAnswer: 864*sqrt(13) + 16997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5699 is divided by (5\/10)\/(21\/1260)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3650 + 874 = 0. List the prime factors of l.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3710e (base 15) to base 2.\nAnswer: -101010111001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-10 + 20)) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 654, 630, 576, 486, 354, 174, -60, -354?\n\"Answer: -n**3 - 9*n**2 + 10*n + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:59 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401275532?\nAnswer: 2, 7, 31, 131, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 24 = -7*t. Solve t = -0*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -21*m**3 - 4*m**2 + 17*m + 4. Let a(g) = -20*g**3 - 3*g**2 + 17*g + 3. Let q(y) = -4*a(y) + 3*j(y). What is the second derivative of q(p) wrt p?\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1829739 to 4 decimal places.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 146*t - 12492. Determine d(83).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1748a - 14?\nAnswer: -174a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (164\/123 - (-58)\/(-42))\/(2\/(-7))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028 + -918453715.\nAnswer: -918453714.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1861 - 0.186. Round a to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-40))\/((-15)\/380) + -8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-17.502\nAnswer: -52.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138045, -138070, -138095, -138120?\n\"Answer: -25*u - 138020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.010398 millennia in centuries?\nAnswer: 40.10398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10 + u**3 - 2*u**3 + 8*u**2 + 69*u - 72*u. Let f be k(7). What is the least common multiple of 35 + (f\/(-2))\/3 and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80))*-5.\nAnswer: -20*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1757\/463912 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let b(w) = -4*w - 7. Suppose 0 = 5*y + 5*g + 5, 2*y - y - 9 = -3*g. Let i(h) = h + 2. Let n(p) = y*b(p) - 21*i(p). What is n(v(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**4 + v**3 + v**2. Let f(j) = -j**5 - 4*j**4 - 10*j**3 - 6*j**2. Let x(q) = 14*b(q) + 2*f(q). Factor x(z).\nAnswer: -2*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let l = n + 3. What is the closest to 1 in 1\/4, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108397?\nAnswer: 61, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 647?\nAnswer: -40\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -73*y - 1. Let p(n) = -496*n**2 + 505*n**2 - 11*n**2. Determine p(v(i)).\nAnswer: -10658*i**2 - 292*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*n*o**3 + 781*n*o**2 + 206*n*o - 148*n + 10*o wrt o?\nAnswer: 144*n*o + 1562*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1210, 2420, 3630?\nAnswer: 4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:30 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -110, -134, -160, -188, -218, -250?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 93.9576 hours?\nAnswer: 338247360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + -1 + sqrt(15)\/sqrt(125) - (1*6*4*sqrt(147))**2.\nAnswer: -84673 + 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122768 is divided by 501?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, l: 3, q: 2, c: 1, k: 1, p: 1}. What is prob of sequence uq?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 12. Give z(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -15*g - 12. Let b(z) = 11*z + 10. Let a(d) = -6*b(d) - 5*q(d). What is a(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4654 divided by -4.\nAnswer: 2327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627 and 1551.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 4:14 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -3*3\/3. Solve 0 = 5*i - z - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176\/396 + (-2 - (-10103)\/9).\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2715 + -2331. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 11*k - 805. Let f = 1411 - k. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/10)\/(3\/630). Let p = -169 - q. Are p and 6\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101010 (base 2) to base 9.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 + 0.05. Let t = -4.2 + 4.3. Put 0.5, o, t in increasing order.\nAnswer: o, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3736 + 5273. Suppose -10*t + 11*t = b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16193*w - 32377*w + 14 + 16185*w.\nAnswer: w + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 7 = 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-57)\/(-21) - 4\/(-14). Let f be ((-36)\/(-14))\/(64\/168). Let h = 127\/20 - f. Which is the nearest to h? (a) -2\/13 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 7) to base 5\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -440196*j**4*w - 10*j**3*w**3 - 257*w**3 - w**2 - 120*w + 63 wrt j.\nAnswer: -1760784*j**3*w - 30*j**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 4*s - 3*s - 2. Let v be r(-4). Let k be 3 + 8\/(16\/6 + -2). What is the highest common factor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 7723038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:16 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(1\/4)\/b))\/b)\/(b**(-3\/4)*b))\/((b\/(b**4\/b))\/b*b**5) assuming b is positive.\nAnswer: b**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 104050456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2 + -10 + -1 + 2). Which is the closest to 1? (a) -0.1 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001394 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 48, 40, 32, 24?\n\"Answer: -8*j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 103806029 - 0.1476\nAnswer: 103806028.8524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -v + 2*v, 20 = 4*v + 2*q. Suppose -2*j + 1 = v*d - 0, 0 = 3*j - 3*d - 9. Find the third derivative of -4*z**j - z**2 + 3*z**2 - 2*z**3 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = -5*q - 2, -4*q - 3*o = -3. Let g(s) = 3*s + 7. Let x be g(-4). What is the third biggest value in q, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6055 is divided by 44.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 - 11001?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a = 41*a. Solve -4*l - k = -9, a*l + 6 = l + 4*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*j - 2*j**2 - 3 - 4 + 6 + 2090*j - 7.\nAnswer: -2*j**2 + 2006*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383715062, -767430124, -1151145186?\nAnswer: -1534860248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a factor of 4922921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 444620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2 + 15*n - 1066 = 0.\nAnswer: -41, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*w = -14, -5*f - 5*w = 9 + 1. Let a be -8*(f + 3)\/(-16). What is the highest common factor of a and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31537 is divided by 928.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 - 130\/14. Let i(c) be the third derivative of -c**4\/12 - 2*c**3 - 8*c**2. What are the prime factors of i(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 14 - 97 = 2*g + 84, 0 = -4*g + 16 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-33)*(-146)\/584?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a year in months?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352379?\nAnswer: 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 94033, -4\/7 in ascending order.\nAnswer: -4\/7, 1, 5, 94033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q + 1. Let n be p(1). Let c(r) = -r - 6. Let z be c(n). Suppose 5*b = 10*b + z. Is -1\/46 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101415 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1325166 and 1325166 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 356, 353, 348, 341, 332?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k - 23*k + 1364 = -56 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -166. Calculate the lowest common multiple of s and 77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153 (base 14) in base 4?\nAnswer: -1121331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.1 - 33. Let l = 0.1 - j. Suppose -2*v - 6 = -5*t, -5*t = -4*v + v - 9. Which is the third smallest value? (a) l (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2))**0*w**(-1\/5)*(w\/(w**(-6)*w*w))\/w)\/(w\/(w\/(w**(1\/4)\/w))*(w\/(w\/w**5))\/w)**(2\/3) assuming w is positive.\nAnswer: w**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.0144717\nAnswer: 0.00144717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4821.4 - -9?\nAnswer: 4830.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594447047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.724371 rounded to three decimal places?\nAnswer: 0.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 7*z - 1. Let q be l(-6). Suppose -7*a + q*a + 1502 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/16*-2*20\/(-90).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 22*v**2 + 15*v - 58. Determine r(-20).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 19*j - 32. Let u be z(-17). Solve 14*r - 32 = -u*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2660\/12 + 5 - 4)*3. Let v = t - 631. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-572)\/(-208))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*t**3 - 567*t**2 - 130303*t wrt t.\nAnswer: 372*t - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.74, -1\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n - 10. Let m be f(-4). Suppose 0 = m*v - 0*v + 18. Let i = 1.2 + -0.7. Which is the smallest value? (a) i (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251909542?\nAnswer: 2, 7, 137, 223, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/14*16\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -10) + -1 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:23 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-10)*y)\/y**(-32))\/(y**(-26)\/y**(-1\/43)) assuming y is positive.\nAnswer: y**(2106\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1144 (b) 0.11 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 104*i + 3)*(-1 - 2*i**2 + 1).\nAnswer: -208*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 213*c - 67. Is s(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 5*x - 6*x)*(3 - 5 + 0)*(-2 + 2 - 2).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6611800 divided by 52.\nAnswer: -127150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -106210354.\nAnswer: -1\/106210354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764835*k + 254833*k + 254937*k + 254944*k.\nAnswer: -121*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99048 divided by 33016.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = c + 4*c. Let x be (-8)\/(-4) - c - -1. Let t = 61 + x. Solve -6*m - t = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 236808? (a) 2 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -23. Suppose -3*b + z = -17. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6905 (base 12) in base 5?\nAnswer: -333134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 39*q**2 + 29*q + 2170. Give p(41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87872525 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1853666 from 1831945.\nAnswer: -21721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = s - 37, -2*s = 4*n - 4 - 0. Solve -t - 11 = -5*t + q, -4*q = s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:16 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2\/2 - 2*s - 2. Let x be u(-8). Let t = x - -6. Which is the second biggest value? (a) 1 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-404)\/(-12775490)*139*(-26)\/(-6)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03515294*-0.5.\nAnswer: 0.01757647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 - 130. List the prime factors of ((-387)\/27 + v)*2244\/(-10).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.03 + 0.13. Let n = z - 0.1. Which is the closest to 1? (a) n (b) -2\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (3*sqrt(192) + sqrt(192))*-2))\/(sqrt(44)\/sqrt(539)*2) + 0.\nAnswer: 140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233530.\nAnswer: 2, 3, 5, 13, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(8))\/sqrt(3))\/sqrt(4).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - c = -11467, -2*q - 18*c + 22950 = -20*c. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2. Let y(x) = -2*x**2 - 1. Let m be (-3)\/(-60)*4*-5. Give m*b(n) - y(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -2\/259 (b) -5 (c) -6\/5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281 - -278.409. What is d rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y + 1. Let n be z(-1). Let v = n + -8. Suppose -2*b - 28 = -v*b. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -305, 1\/7, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 18*r - 38*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235188 (base 9) in base 14?\nAnswer: -332898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43574863 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(2*y - 2*y - 3*y) + 4*y + 0*y - y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 = 3*v + w - 437, -3*v + 1062 = -3*w. Suppose -d - 88 = -v. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l = 82*l - 46 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v + 65*v = 3*g - 11, 4*v - 1 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8351346018 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*k - 718*k + 3 - 3.\nAnswer: -910*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u*w**3 + 72233*u - 787672*w**4 wrt w.\nAnswer: -6*u*w**2 - 3150688*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 431 - 421 = -4*d, 8 = -4*d - 4*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 6*t + 2. Let d(m) = -6*m**2 + 30*m + 10. Give -2*d(u) + 11*z(u).\nAnswer: u**2 + 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2435*r + 2431*r + 3477 = 0, -3*z - 3*r + 2082 = 0. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 5. Suppose -2*v + 235 = 5*f - 7*v, 5*f - 225 = -5*v. What is the remainder when f is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and 11\/19555440.\nAnswer: 19555440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(80) + sqrt(5))*1 - (-2 + (-1 + sqrt(5))**2).\nAnswer: -4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.4, -0.07, -2\/7, 2.\nAnswer: -2\/7, -0.07, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.096*0.09471\nAnswer: -0.00909216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acv when three letters picked without replacement from {c: 1, u: 2, v: 2, a: 1, i: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -25432\nAnswer: -7\/12716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-3)*h*h*((h\/((h*h**6)\/h))\/h)\/h)\/(h*h**(-7)*h*((h*h\/(h*h**(-10)))\/h)\/h*h) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 10*x + 69 = 0. Let l be (-2)\/x*((-18)\/3 + 3). Let c = 0.6 - 0.1. What is the nearest to l in -1, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 2, f: 3, r: 3, s: 1, l: 4}. Give prob of picking 2 x, 1 r, and 1 l.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13318 - 26639\/2. Which is the second biggest value? (a) -0.04 (b) -1.4 (c) 0.1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (9 - 10 - -14) - (2 - 3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634232154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkdkxjvijikjkijk. What is prob of sequence ixxv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160578 or -158507?\nAnswer: -160578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 5:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a - 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(539) - (sqrt(539)*-1 + 5)) + sqrt(539))**2.\nAnswer: -210*sqrt(11) + 4874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*a = 160*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 0.1 (b) 2\/5 (c) -0.3 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let x be t(-1). Let v be 12*(x\/(-1))\/3. Suppose 0*o + 2*o - 10 = -j, 4*j = -v*o + 20. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682 and 1030316?\nAnswer: 11333476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 8 - 2. List the prime factors of (-2)\/4*-6 - (-149 - r).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - -35?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2172817*l. Let f(o) = -2*o**2. Give f(x(j)).\nAnswer: -9442267430978*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-6)\/n**(3\/5))\/((n\/(n\/((n**(2\/5)*n)\/n))*n)\/n**3))**(11\/4))**(-8) assuming n is positive.\nAnswer: n**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1980?\nAnswer: -1982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 7:20 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/31 and -41\/341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 + 7*l**3 - 4*l**3)*(58 + 68 - 44 + (0 - 2 + 4)*(-2 + 2 + 2) + 3 - 2 - 2) in the form a*l + y*l**3 + q + i*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40521 (base 6) to base 9\nAnswer: 7334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let c(r) = -36*r + 20. What is c(t) - 20*w(t)?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(-34)*4\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29468843*n**2 - 29468717*n**2 - n**3 + 58937560*n**2 + 6*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g**2 + g + 4. Suppose -4*m - 2*u = 62, m - 2*u = 2*u + 7. Let k = -8 - m. Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.410711ns to microseconds.\nAnswer: 0.000410711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 + 8\/12. Suppose -y + 23 + 0 = t. Suppose -7 = -2*j + y. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(3*t - 6*t - 8*t)*(0 - 1 + 0) - t + 1 - 1.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13)\/j)\/(j**(-5)*j)*j**(-1\/7)*(j**(2\/15)*j)\/j)\/((j**(-3\/4)\/j**(2\/3))\/(j**(1\/3)\/j*j**(-1\/7))) assuming j is positive.\nAnswer: j**(18803\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018880439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 4. Let j(k) = 2. Give -3*h(r) + 7*j(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45272392 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*t = -262*t + 12. What are the prime factors of (8*4*5)\/(t\/(-30))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, -9, 19.69?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 - -416\/3. Put y, 3\/2, -0.31 in increasing order.\nAnswer: y, -0.31, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 64 + 4 = 0. Suppose 0 = -2*n + 2 + 4. Suppose -6*d = -n*d - o. Solve -d + 1 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 730271*p + 731477*p - 1456699*p in the form v + q*p and give q.\nAnswer: 5049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 4*l**2 - 8*l + 15. Let c be u(3). Let g(s) = s**2 - 7*s - 9. Determine g(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/6163994 and 41\/8812?\nAnswer: 12327988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -9. Let h be (7 + 7)\/(f\/(-12)). What is h rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = -3*o + 5*o, -3*o - 25 = -2*g. Let k(v) = 7 + v + 4 - 1. Is 3 a factor of k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.445 + 1.545. Let r = -1 - -6. Which is the nearest to -0.03? (a) r (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794654369?\nAnswer: 794654369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -98 (b) 0.5 (c) 2\/3 (d) 44 (e) 2 (f) 0.037\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 240 = -0*g - 3*j, 0 = 2*g + 3*j - 114. Suppose 55 - g = 2*k. Put k, -3, -5 in decreasing order.\nAnswer: -3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 57*z**2 - 4*z - 262. Determine c(-57).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 4*q - 1. Let h be n(3). Suppose -939*w = -941*w - 2*g + 46, 2*g - 9 = -g. Solve -h*c = -24*c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86193, 171441, 256691, 341943, 427197?\n\"Answer: k**2 + 85245*k + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -13\/5, -0.2, 12, -0.5, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054 is divided by 1075?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255\/2 + 161. Find the common denominator of s and -143\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1034 - 1034. What is the third biggest value in -2, d, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -3 + 0 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a = 4*q + 95*a - 124, 4*q - 145 = 3*a. What is the remainder when 744 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -6\/5 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 627354703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1714854 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 1:30 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:36 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 116. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a - 58926. Let d = a - -338926. Let t = d + -218463. Round t to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 27. Let k = 0.1 - 0.07. Let o = -0.43 + k. Which is the closest to 1? (a) l (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1227 - -2640?\nAnswer: 3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18372100 and 150.\nAnswer: 55116300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -624 - -22170?\nAnswer: 21344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**3 - i - 5*i**3 - i**2 + i**3. Calculate h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s, s + s + 9 = k. Let y be 48\/288 + 10\/12. Suppose j = -y + k. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21620881.9 and 0.8.\nAnswer: 21620882.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.14 in 5, 0, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -36, -52, -68?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 75*o**2 - 19 - 2*o - 10*o**2 - 35*o**2 to the form a + z*o**2 + g*o and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5277 by -3105.\nAnswer: -1759\/1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 5*o**2 - 13*o - 1. Let h be v(9). Let a = h + 691. Suppose 4*c - j = a, -4*j - j = -4*c + 269. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.78 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064852 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73510323.\nAnswer: 3, 23, 67, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189487*h**4 - 2*h**3 - 14*h + 30686159 with respect to h.\nAnswer: -757948*h**3 - 6*h**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnlb when four letters picked without replacement from bnevljlvvneeeee.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 40*u + 40. Let f be s(-19). Does 21 divide ((-9)\/f)\/(3047\/770 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4431 in ascending order.\nAnswer: -4, 3, 4431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 293, 79, -149?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 + 18*d**2 - 21*d + 23. Let x(q) = -10*q**3 - 67*q**2 + 62*q - 70. Let l(y) = 7*h(y) + 2*x(y). Give l(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2563.999997214 - 2564. What is a rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1155180, 1155103, 1154988, 1154841, 1154668, 1154475, 1154268, 1154053?\nAnswer: 1153836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-7\/8)\/(b\/b**(-10)*b\/(((b**(7\/6)\/b)\/b)\/b*b)) assuming b is positive.\nAnswer: b**(-637\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 25. Suppose u = -3*z + 1, u - 3*z = 2 + 5. Are o and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -67577038.4522?\nAnswer: 67577036.4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*d + 40 = 0, 3*w - 3*d - 6 + 3 = 0. Suppose -8 = 3*r + w*q, q = -r - 2*r - 4. What is the units digit of (8\/(-24))\/(r\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116430?\nAnswer: 2, 3, 5, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 9*b - 23*b + 13*b in the form y + j*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let n(d) = -14*d - 5. Let m(h) = 0 + 3*h + 1 + 0*h - 2*h. Let y(q) = -5*m(q) - n(q). Calculate s(y(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1329, -2635, -4811, -7857, -11773, -16559?\n\"Answer: -435*p**2 - p - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58016 and 13098.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + sqrt(110)*2)*-2 - sqrt(110)) + sqrt(110)*2*2)\/(sqrt(30)\/(sqrt(12)\/sqrt(4)*-6 + sqrt(3))).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*r - 284, -4*r - 30 = 2*z - 158. Let i = z - 40. Suppose 4*n - 166 = -34. Calculate the remainder when n is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -20*v**3\/3 + 27815*v**2\/3 - 4857455*v\/3 - 1628430 = 0.\nAnswer: -1, 206, 4743\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253041 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1863083937 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/3 + 27. Let x(c) = -29*c. Calculate x(l(q)).\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u - 1196*u**2 - 2*u + 1349*u**2 - 1. Let g be j(-2). Suppose 4*d + g = 7*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 4206.\nAnswer: 22\/2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 389686.4mm in centimeters?\nAnswer: 38968.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d**2 - d**2 + 27*d**2 - 6*d**2 + 25*d**2.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let p(t) = -t. Let v(o) = 3*b(o) - 2*p(o). Let y(a) = -a**3 + 3*a**2 + 12*a - 7. Let c be y(5). Calculate v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110450, 218990, 327530, 436070, 544610?\nAnswer: 653150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 117544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 202*b**7\/105 - 149*b**5\/12 + 699*b**2. Find the third derivative of g(f) wrt f.\nAnswer: 9696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45263784.\nAnswer: 2, 3, 1885991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllllaalaaa. What is prob of sequence la?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d*f*j**2*t + 4*d*f*j**2 - 88*d*j**3*t - 2*f*j**4*t + 2*f*j**3*t wrt j?\nAnswer: -528*d*t - 48*f*j*t + 12*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.55 - -203656.\nAnswer: 203663.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 + -2 - ((-270)\/15 + 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*a*a)**21*a**5*(a*(a**(-2)*a)\/a)\/a*a assuming a is positive.\nAnswer: a**(205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 398 - 87. What are the prime factors of z?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (sqrt(210)\/(1*sqrt(180)))\/(2*2*sqrt(726))).\nAnswer: -20 + sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4*sqrt(2299))*6)**2.\nAnswer: -3168*sqrt(19) + 1324260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43092\/5 + -853203\/95. Let q = i + 363. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2210 + 6394. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6*w + 5. Let f be y(7). Suppose q - f = 4*r, -6 = 5*r + 5*q - 4*q. Let t(u) = 24*u**2 - 3. Is t(r) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30976 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 930\/4093?\nAnswer: 930\/4093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239 + 254. Suppose -41 = u*y - 206. Is y at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b9 (base 14) in base 8?\nAnswer: -2777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 154410 * -126\nAnswer: -19455660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1652 divided by 1\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -24.6.\nAnswer: -1008.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-3 - 11)*5\/60. What is the fourth smallest value in 2\/3, -0.5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 58.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 954 = -478. Calculate the remainder when 51 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 20. Let m = 23 - n. Which is the third biggest value? (a) 0.4 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4203 + -4201. Are 84\/41 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a2434 - -7?\nAnswer: 4a2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1391 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*y + 1328 + 1136 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8843352 divided by 168?\nAnswer: 52639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let c(n) be the first derivative of 9 - 1\/4*n**4 - 7*n + 0*n**2 + 2*n**3. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.205 + 5.205. Which is the second smallest value? (a) 0.4 (b) m (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 2554, -5 in decreasing order.\nAnswer: 2554, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -520\/11777 + -779503693\/94216. Let l = w - -8284. Find the common denominator of l and 35\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -30*u + 224. Determine x(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 - -5.5. Sort 0.1, 0.3, y, -1 in descending order.\nAnswer: 0.3, 0.1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3 - 31694*k**2 + 2*k + 31694 = 0?\nAnswer: -15847, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/11)*b*b)\/b*b)**(4\/11)\/(b**(-42)\/(b\/(((b**(-14)*b)\/b)\/b))) assuming b is positive.\nAnswer: b**(7102\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 7*r**2 + 44*r + 12. Let b be h(11). Suppose 0 = -2*l + 2*q + 32, 2*l - q - 46 + b = 0. Solve -5*c - 2*t = l, -3*c = -0*c + 3*t + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 793 (c) -0.2 (d) -5 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g - 176 - 98 - 208 - 572 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91956.\nAnswer: 2, 3, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 + 19 + 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10902009 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + 2.4. Let t = 9 - 10. Which is the closest to 0? (a) 4 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:16 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 503.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2155 = -5*c + 3*r, 5*c - 4*r = 8*c - 1293. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u - 40179324 + 5247215 = 11995096. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 117*g - 147. Let h(n) = 17*n - 21. Let a(t) = 27*h(t) - 4*m(t). Differentiate a(j) with respect to j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 6*v - 2*v)*(v - 5*v + 2*v) + (4 - v - 4)*(-3 + 3 - v) - 25*v**2 + 9 - 28*v**2 + 51*v**2 to q*v**2 + f*v + z and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2499483.6836 to the nearest one thousand.\nAnswer: 2499000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3005, -2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2478, 3073, 3972, 5181, 6706, 8553?\n\"Answer: w**3 + 146*w**2 + 150*w + 2181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3859894 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/611996960 and 47\/841495820.\nAnswer: 6731966560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155064071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -104661 (base 8) to base 7\nAnswer: -204524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9403*d**3 + 10393.\nAnswer: -28209*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -1\/4*u**4 + 3*u**2 + 28 + 4*u**3 + 3*u. Does 26 divide a(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*d**2 + 15*d + d - 56*d**2 wrt d?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 5*u**2 + 2*u - 6. Let a = -86 + 91. Let x be y(a). Find p such that -9*p**2 - 12 - 10*p**x + 6*p**3 + 3*p**4 + 10*p**4 - 24*p = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6 - 23*i**2 - 5 to v + n*i + g*i**2 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5772 and 405002?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5\/5 + 12*m**4\/5 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iizizzi.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -293690, -293683, -293672, -293657, -293638?\n\"Answer: 2*j**2 + j - 293693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/2 - 282*f - 13254 = 0 for f.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11918 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - x + 31 = 0, 10*x + 85 = 5*c - 5*x + 18*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 1459783475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4320 and 21480?\nAnswer: 773280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 202 or -13?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_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: Calculate the greatest common factor of 3520 and 7370.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4482\/12)\/83*(-8)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - y = -48 - 66, 70 = -3*v + y. Let i = 165 + -90. Let f = v + i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t**(2\/23)\/t))*t*t\/((t*t**(5\/7)*t*t*t)\/t) assuming t is positive.\nAnswer: t**(-423\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*j - 220 = 0, r = 4*j + 26 + 38. Calculate the remainder when 218 is divided by r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452 + 552. Suppose 5*u + r = 5*k, k - 2*k - 2*u + 32 = 0. Is 27 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.66628 millilitres to litres.\nAnswer: 0.03366628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 5, o: 1, u: 3}. Give prob of sequence or.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350070 and 3325665?\nAnswer: 6651330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + -0.08. Let v be ((-64)\/(-112))\/(6\/(-42) - -1). Which is the closest to u? (a) -0.4 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g + 3*z - 51, 5*g = -5*z + 65. Let l(a) = 0*a + 5*a - g*a - 1 - a**2 + 8*a. Let h(b) = -3*b + 10*b**2 + 484 - 478 - 3*b. What is h(j) + 8*l(j)?\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -6\/13 (c) 2\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -281 (base 9) to base 15\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 31*s - 38 = 5*u, 6 = 4*s + u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2333 (base 6) to base 14\nAnswer: -2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 - 5*x + 4. Let c be p(-4). What is the highest common divisor of c and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/35 and 139\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-12.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y + 1. Suppose -2*z - 3 = y. Let u be (12\/8)\/(1\/z). Let c(k) = -k**3 - 3*k**2 - k + 2. Give c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-10)*(-12)\/9. Let d = p + 20. Solve -d = -4*k - 2*z, -z - 13 = -6*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/13, 0, 25\/12.\nAnswer: -2\/13, 0, 0.4, 25\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.039 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + -2))*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46217 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 7*l - 7. Let f be (8\/3)\/(1\/3). Suppose 2 = -u - 3*w, 5*u - 2*w + 35 = f. Does 3 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.20129 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 6 = 0, 0 = -2*h - 2*b + 10. Let n = h - -6. Let p = -6 + n. Solve -p = 4*v + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33749822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:43 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 199.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 + 27*i - 24. Let w be g(-14). Suppose 51*k = 53*k - 68. What is the greatest common divisor of w and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1089683*b**2 - 1088559*b**2 + 2*b - 2*b to r + a*b + x*b**2 and give x.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121698.\nAnswer: 2, 3, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4731009 meters in kilometers?\nAnswer: 0.0004731009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:21 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6994\/21 or 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*q - 114, 0 = 3*z - 6. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12477 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: 0.2 - -5233083\nAnswer: 5233083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*y - n + 69, -8*n - 14*n - 236 = 3*y for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 8*z**2 + 2*z - 10. Give g(7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 6*p + 2. Let a be w(-5). Suppose -3*k + a*k + 21320 = 0. Let o = -3113 - k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -119, -181, -243, -305?\n\"Answer: -62*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.441 + -2.541. Sort 4, x, 1, 16.\nAnswer: x, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -203, -430, -727, -1082, -1483, -1918, -2375?\n\"Answer: 2*m**3 - 53*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose u*v - 2*v = -10. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-14 - 1 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 8870.\nAnswer: 239490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 110 - 116 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/4 + w**3\/3 - 3*w**2\/2 + 3*w + 7. Give o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(6) + -2*sqrt(6) - sqrt(6)) - sqrt(28))\/(1*(sqrt(36) + sqrt(4))) - (sqrt(28)\/sqrt(2)*1)\/(sqrt(54)\/sqrt(3)).\nAnswer: -17*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3500 = -493442*g + 493192*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7520 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/336)\/((-3)\/(-72))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2739, 2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 + 3.6. Is 8\/3 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6829 and 1?\nAnswer: 6829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - 1.94. Let v = 5 + y. Let p = 1041.4 - 1040.9. Sort v, 1, p in descending order.\nAnswer: v, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-2 - (6 - 9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/21)\/k**(-1) assuming k is positive.\nAnswer: k**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/24864 and 113\/11914.\nAnswer: 571872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-21)*-7 - (-148)\/(-25)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2 - 2)*((4 - 3 + 0)*(4 + 0 - 5) + 2 + 1 - 4 - 2 + 2 + 3) + (16 + 2 + 12)*(23 - 28*h - 23) to t + q*h and give q.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.766 to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/18)\/(-7) + 58\/18. What is the derivative of 0*w - 2*w + l*w + w**2 + 45 - 9*w wrt w?\nAnswer: 2*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613636?\nAnswer: 2, 153409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-10))\/((-1136256)\/(-32280)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -0.2, 4\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + 313585*d - 313585*d - 221*d**3 + (0*d**3 - 2*d**3 + 0*d**3)*(-2*d + 2*d + d).\nAnswer: -5*d**4 - 221*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 7. Let i be (-8)\/4 + 5 - 23. Let q be ((-1)\/(-2))\/(2\/i). Give t(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135, 553, 1259, 2253?\n\"Answer: 144*a**2 - 14*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2318436176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*a + 0 = -380, 3*a - 9 = 0. Let t(i) = i**2 + 2*i + 1. Calculate the remainder when j is divided by t(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 177283?\nAnswer: -177288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -0.5 (c) 0.1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, z: 3}. What is prob of sequence yzy?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 9*m + 122. Let z(f) = -56*f**2 + 102*f + 1344. Determine -68*g(v) + 6*z(v).\nAnswer: 4*v**2 - 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 171*t**4 - 270*t**4 - 553*t**4 + (-2 + 2 + 3*t)*(-t**3 + 3*t**3 - 4*t**3).\nAnswer: -658*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6)\/((b*b**(1\/11))\/b))\/(b**(-11)*b*b**(-12)*b) assuming b is positive.\nAnswer: b**(1391\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -2. Calculate the remainder when (-4)\/(-14) + 520\/140 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 7*d = -d - 4074. Solve -11*g + d = 604 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 84. Put -5, t, 5, -0.4 in decreasing order.\nAnswer: 5, t, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**2\/2 + 6*h - 5. Let q be c(6). Suppose q = -2*z + 4 + 28. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171567375 a multiple of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 - 0.1. Let t = 120.3577 - 123.357688. Let v = o + t. What is v rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13196 - 13196 + 42*a**2 - 38*a**3 + 2*a wrt a.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1. Let f(v) = v + 2. Let q(d) = f(d) + 4*z(d). What is the remainder when 11 is divided by q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24486406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - p**2 - 3*p + 2. Let w be 4 + -3 - (-3 + 1). Calculate the remainder when (3\/5)\/(876\/127020) is divided by j(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 4. Let o be i(0). Let l be (3\/(-6))\/(o\/16). Suppose -l*n = -6*n + d + 180, -5*n + 3*d = -225. Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -55281.2 rounded to the nearest 100?\nAnswer: -55300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010, 3221, 6922, 12125, 18842, 27085, 36866?\nAnswer: 48197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 40. Let h be k(15). Let r(m) = 3*m**2 - 18*m + 110. What are the prime factors of r(h)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087540 rounded to the nearest ten thousand?\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 8) + (8 - 15) - (-10 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5823213582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10))\/(9\/(-150)). Let p(b) = -b**2 - 30*b + 44. Let r be p(-8). Calculate the highest common divisor of l and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 0*y**4 - y**4 + (-y**2 + y**2 + y**4)*(0 - 3 + 4) + 2*y**4 + 0*y**4 - y**4 - 824*y**4 + 2377*y**4 + 1142*y**4.\nAnswer: 2699*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197203*c + 197164*c = -741 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 1890?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.151252 days?\nAnswer: 1657.80288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 265 = -31*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 5*i - 75069. Let v = i - -83481\/10. Find the common denominator of -145\/12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d - 208. Let f = 261\/5 + d. What is the nearest to -0.2 in -1\/3, 1, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 2:24 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from ggzzzzzzgzzgm?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -23.6763.\nAnswer: 11.83815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11)*5 + sqrt(11) + -3).\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-124)\/217)\/(2\/(-7)). Solve 6*u - 5*v = 2*u - 36, -d*v = 3*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 c when four letters picked without replacement from {a: 3, c: 2, s: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/492752 and -65\/412.\nAnswer: 492752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 19*q + 59. Let g(n) = -2*n**2 - 48*n - 148. Let w(i) = -7*i - 30. Let m be w(-6). Let s(j) = m*h(j) + 5*g(j). Solve s(d) = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58983786 and 186534?\nAnswer: 4338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85788334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13655.252 + -13721. Let p = m - -66. Let g = p - 0.24136. Round g to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 plus -46195?\nAnswer: -46152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2659 or 2793?\nAnswer: 2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/6))**41*(k*(k*k**(-2\/7))\/k)**7)**(2\/63) assuming k is positive.\nAnswer: k**(317\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6289 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1006, 1997, 2988?\nAnswer: 3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*w. Suppose 2*i = 10, 4*p - 13 - 9 = w*i. Calculate the greatest common factor of p and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 11*h + 30 = -4*v, 3*v = -4*h - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 108*d**3 - 160*d**2 - 2700*d + 2750 = 0.\nAnswer: -55, -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -815*n + 10. Let i be x(1). Let j be 391\/i - (-4)\/14. Let a = 15 - 10. What is the closest to 1 in j, -4, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*k**(3\/8))\/k))**(-29) assuming k is positive.\nAnswer: k**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4149.925 milligrams?\nAnswer: 4149925000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-5 - 3 - 2)*(13 - 6 + 5)*(4*i - 2*i - i).\nAnswer: 240*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 8) to base 14\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 136c - -3a?\nAnswer: 13a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.3 - 11.57. Let m = -1.66 + 1.39. Let o = i - m. What is the fourth smallest value in o, 5, -0.3, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82590 is divided by 8980.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*c**2 + 29842*c + 3291984 wrt c.\nAnswer: -50*c + 29842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10126761 (base 8) to base 14\nAnswer: -3da6d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6293371 and 42?\nAnswer: 37760226","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 1911038287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 divided by 172?\nAnswer: 861\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*-8*-9*5\/30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 31*d**2 - 29*d**2 + 8*d + 39*d**2 + 38*d - 19. Is j(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 1. Let h(z) = -12*z**2 + 4*z + 16. Let q(a) = -28*g(a) + 2*h(a). Factor q(t).\nAnswer: 4*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 + -63. Suppose 3*q = 3*u - 171, 4*u + 5*q = z + 82. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 4. Let u be f(3). Let d(g) = g**3 - 43*g**2 - 95*g + 241. Let k be d(45). Calculate the highest common factor of u and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 22*l**2 + 3*l**2 - 2700 - 273*l + 11*l**2 + 8*l**2.\nAnswer: 3*(l - 100)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 26609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y**2 - 4*y**5 + 9*y**2 + 32*y - 16*y**4 + 12*y**3 + 78*y**2 = 0. Calculate y.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4839880 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*(n*(n**(2\/7)*n*n)\/n)\/n*n)\/(((n\/n**(2\/9)*n)\/n*n)\/(n\/(n\/n**(-4\/7)))) assuming n is positive.\nAnswer: n**(55\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from ggbggbgdok?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/(-532))\/(((-45)\/(-3))\/3900)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = 50*s. Let j = -9 - -13. What is the closest to -1 in -7\/2, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 281, 565, 851, 1139, 1429?\n\"Answer: j**2 + 281*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - (-82)\/8. Let x be 118\/177*(-30)\/(-4). Suppose d*m - x*m = -5700000. Round m to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 13. Suppose -2*k + 13 = 3. What is the second biggest value in 0.1, p, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 + d - 2. Let g be t(5). Suppose 0 = n + g*n + j - 14, -j + 10 = 3*n. Let p be (-30)\/n*2\/(-3). Solve p*a = 9 + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -37)*(-36)\/(-75).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 + 6*r**2 - r + 49. Give t(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*l = 44 - 12, 4*l = -3*o. Suppose 4*q + 49 = 65. Solve -12 = -q*x + o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8.5, -2\/3, -0.5, -2\/7, 5.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 - 2*z + 80. Let d(h) = -12*h**2 - 4*h + 160. Let u(a) = 4*d(a) - 7*v(a). Let o be u(0). Calculate the greatest common divisor of 220 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7 + 0 - 2 + f. Let g be h(5). Suppose 0 = -2*k - g, 6*k - k = -2*j - 11. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 4849599*z + 2*z**2 + z**2 + 4849599*z. Let l(f) = -371*f. What is l(q(a))?\nAnswer: -371*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75 - 75 + 2*z**4 - 20*z**5 + (3 - 1 + 0)*(-z**5 + 3*z**3 - 3*z**3).\nAnswer: -22*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h - 9. List the prime factors of w(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(7) + -3.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) + sqrt(28) + 0)**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (2 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 6*u + 5*u)*(-2*u - 2*u + 3 + 6*u) to o*u + l*u**2 + p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 2, w: 1, y: 2, j: 10, h: 3}. Give prob of picking 1 y, 2 h, and 1 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*q = -3010 + 2575. Factor 4*s**4 + 28\/3*s**q + 2\/3*s**5 + 32\/3*s**2 + 4\/3 + 6*s.\nAnswer: 2*(s + 1)**4*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in years?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/1)\/(-5))\/(94\/(-282))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-11))\/((-18)\/(-42))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115529504 is divided by 1911?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/198 and 107\/630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*m = 24, -8*t - 2*m - 137 = -167 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - 9. Let u be (-144)\/(-40) + -5 - (-12)\/15. Which is the smallest value? (a) i (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20079 is divided by 436?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -12.2. Which is smaller: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + -2 + 2) - (-11 + -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046353 rounded to 6 decimal places?\nAnswer: -0.004635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:31 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:57 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 3.3. Let r = -0.2855 - -1.2855. Suppose -4*o - 4 + 12 = 0, -4*n = -2*o + 4. What is the closest to a in r, -2\/11, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3*t*y - 2*l**3 + 2*l*t + 45*l + t*y - y**2 + 283*y wrt y?\nAnswer: l**3*t + t - 2*y + 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*t - 21*t + 9*t + (-3 + 2 - 1)*(-2*t - 1 + 1) + 0*t - 2*t + 3*t.\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 2, t: 1, o: 1, q: 2, i: 1}. What is prob of picking 1 i and 2 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-40)*(-8444)\/(-5))\/((-8)\/20). Is -1056 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 80. What is the remainder when 67 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**3 - p**3 + 8*p**3)*(-20*p**2 + 14*p**2 - 45*p**2).\nAnswer: -51*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 95. Determine o(-14).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1 - 15 + 21 - 7 + 2 - 2 - 2 + (-2 - 3 + 3)*(0 + 2 - 1))*(1 + 0*z - 2*z + 7*z) + 4*z - 2 + 2 as n*z + v and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71292396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 28*k - 25*k. Suppose -4*q - 2*x + k = 0, 0 = x - 5 + 3. Let r be (2 + q\/(-25))*45\/(-18). Put -0.22, r, -1 in descending order.\nAnswer: r, -0.22, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-4) + 1\/(-4). Let u be (a\/(-4))\/(3\/(-6)). Let h = 2964 - 2968. Sort h, u, 1 in increasing order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -950037.\nAnswer: 4\/950037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86397581?\nAnswer: 86397581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/(-20))\/(228\/360*-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + 943*y - 4 - 1900*y + 950*y - 2 to f + s*y and give f.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*9\/(-75))\/((-9)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 3*q. Let a(w) = 7*w**3 + 3*w - 5. Let i(j) = 8*j**3 + 3*j - 6. Let c(d) = -6*a(d) + 5*i(d). Determine -3*c(t) + 4*z(t).\nAnswer: 2*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 482\/((-8)\/4). Let x = -244 - b. Let y(v) = v**3 + 7*v**2 + 5*v - 2. Give y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669234254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35600 by -1424.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 2*b**2 - 3*b**5 + 5*b**2 + (5*b**2 - 3*b**2 - 3*b**2)*(-210 + 21*b**3 + 210).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**2 + 63*a**2 + a - 28*a**2.\nAnswer: 6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73891, 73716, 73541, 73366?\n\"Answer: -175*m + 74066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -26*u - 53 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 - 5*g + 9. Let q = -12 + 5. Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 791122 and 62130.\nAnswer: 11866830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 1, s: 1, z: 1, u: 1}. Give prob of picking 1 v and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -138 and -0.17.\nAnswer: -138.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628 + 716 = 35*t - 752 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 - 73*a + 1055. Determine s(0).\nAnswer: 1055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7699*c + 7699*c + 224*c**2 + 243*c**2.\nAnswer: 467*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 57*f - 4345 = 52*f for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-2)\/20 - 54\/(-10). Suppose k - 5*y + y = 253, 2*k = 3*y + 496. Suppose 5*c - 249 = -4*i + 7*i, -5*c = -n*i - k. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.12 + 9.9. What is x rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 59975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - 18 - (-2 + 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/40 + 3*s**5\/10 - 7*s**4\/8 + 19*s**2 - 283*s. Let y(l) be the first derivative of z(l). Factor y(w).\nAnswer: 3*w*(w - 1)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 5:16 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (21 + 12) - (-5 + -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-14) - (-14 - (-33)\/3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 + 267*u**2 + 15*u + 9. Let x(p) = 4*p**3 - 401*p**2 - 24*p - 14. Determine 8*s(y) + 5*x(y).\nAnswer: -4*y**3 + 131*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1188990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-46 + 58 - -13) + -73\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4 = -4*n, 0 = 1068*n - 1048*n - 4*t - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9 and -137\/1398?\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 + 4 + 13 + -16 + 0 - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + f + 19. Let z be x(0). Let d = 29 - z. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39643 + -1109825\/28. Let a = 5\/4 - f. Let q be 37\/(-6) + (-1)\/(-6). Do a and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, o: 1, f: 2, m: 4}. Give prob of sequence fm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/60 and 3\/8416450.\nAnswer: 50498700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388659724.\nAnswer: 2, 173, 197, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 755, 3150, 7177, 12836, 20127?\nAnswer: 29050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-204)\/(-10) + 3\/5. What is the common denominator of 1 - (-3)\/((-36)\/(-70)) and (54\/(-20))\/((-18)\/q)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d, 0 = 2*x + d - 7 - 7. Suppose 10 = -2*r + 42. What is the remainder when r is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 17*l**2 + 7*l**2 - 7*l**2 - 3*l**2 + 17*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 514, 1116, 1732, 2368, 3030, 3724?\n\"Answer: r**3 + r**2 + 592*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 9 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27563.\nAnswer: 43, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25270212?\nAnswer: 2, 3, 11, 191441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/16 of a day?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 63. Solve t - 8 = -0*y - q*y, -5*t - 5*y = -10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 24 + 40 - 18. Suppose -2*g + 15 = -o, -4*o + 4 + 32 = 4*g. List the prime factors of k(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2205, -3114, -4037, -4980, -5949, -6950, -7989, -9072?\n\"Answer: -g**3 - g**2 - 899*g - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*b**2 + 14*b + 41*b**2 - 84*b**2 - 4*b**2 + b**2 + 0*b**2 + (-2 + 2 + 7*b**2)*(-5 + 1 + 5) in the form z*b + t + x*b**2 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -792 + 1129. Let k = d - 139. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131843453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0 (b) -4\/517 (c) -227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2084, 8341, 18772, 33377, 52156, 75109, 102236?\n\"Answer: 2087*p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/18*18\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120200212 + -2?\nAnswer: 120200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 6*y**2 + y**2)*(0*y**2 + 5*y**2 - 2*y**2 + (-y**2 + 2*y - 2*y)*(4 - 5 + 0)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3068, 6146, 9234, 12332, 15440?\nAnswer: 18558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32015, -64340, -96985, -129950, -163235?\nAnswer: -196840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 2*p + 2666. Let w(b) = -9*b**2 - 5*b - 7999. Give 11*o(f) + 4*w(f).\nAnswer: -3*f**2 + 2*f - 2670","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(1053) + -5)**2 - -1*(sqrt(1053) + (sqrt(1053) - (sqrt(1053)*1)**2) + sqrt(1053))).\nAnswer: -63*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101 (base 2) in base 4?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*w - 5 = 0, -6*q + 1918*w = 1919*w + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3 - 5*y + y**3 - 7*y**2 - 2 - 3. Calculate the least common multiple of q(8) and 8\/(-6)*(-6)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -127. Suppose 1863 = f + 4*b, -j*f + 613 = 4*b - 4944. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*x. Let w be x\/(-2) - 2\/(-4). Suppose -7 = -5*j + 38. Solve 0 = f + 2, -n + w*n + j = -2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10472 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/35*7\/2*1\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*c**2 - 400\/3 - 80\/3*c = 0. What is c?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9169506?\nAnswer: 2, 3, 509417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8718 or 19277?\nAnswer: 19277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z*z**(-3\/2))\/(z*z**(5\/6)*z*z**(1\/7)) assuming z is positive.\nAnswer: z**(-67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11096049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 3*w**2 + w + 2. Let i be b(2). Let g be 0*3\/(-9) + 0. Suppose -l + i + 11 = g. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13111200)\/(-142645) - (-4)\/47?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 39 = 2*i - 42, 5*m + 29 = 8*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 59. Suppose -2*z + 4*l + 32 = w, -20 = -3*z + l + 33. Suppose 0 = 7*a - 13*a + z. Solve g + 8 = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**2 + 18919069 - 18919069. Let p(f) = 2*f**2 + 12*f. What is q(p(a))?\nAnswer: 48*a**4 + 576*a**3 + 1728*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9493 - -0.0507. What is the smallest value in -402, w, 1?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254497084608 - 0.02\nAnswer: 254497084607.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2338 + -0.3338. Which is the second smallest value? (a) -27 (b) -4\/5 (c) 5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 6*u. Let h be x(6). Let r(s) = s**2 - 4*s + 4. Let m be r(5). Solve h = 5*b - 11 - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27843*z - 1252*z = 2127280 for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 12018528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-30))\/(65\/30*(-268)\/(-335)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.586 and 626.\nAnswer: 1618.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 20 = -15*f. Suppose f*j + 2 = 5*j + 2*b, 4 = -2*b. Suppose -227 + 23 = -j*d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74 + -15 - -94) + -65.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 - 117. Let j(g) = -6*g + 106. Let t be j(s). Solve -5*c + 1 = -3*w + t, 0 = -c - w - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Solve 0 = 2*o - 2*c + 6, 4*c + d = -3*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -190.194 and 165863399.\nAnswer: 165863208.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 17 + 4*x - x**3 - 14 + x + 0*x. Let l(b) = -b**3 + 4*b + 2. Give 3*l(n) - 2*q(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxs when four letters picked without replacement from {x: 6, r: 2, s: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17743\/5 - 3549. Let f = 1 + 2. What is the nearest to -2 in -4, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -283, 2848 in descending order.\nAnswer: 2848, 1, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let o(x) = 134*x**2 - 11*x - 11. Let v(p) = 67*p**2 - 6*p - 6. Let h(f) = -6*o(f) + 11*v(f). Give z(h(c)).\nAnswer: 134*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1878580 divided by -375716.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.087 + 0.1112. Round f to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/60 - g**4\/8 - 2*g**3\/3 - 36*g**2. Calculate c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q - 209 + 281 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(15*k**2 - 10*k**2 + 77*k**2).\nAnswer: 82*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from fpsspspsf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5 = -19857*c + 19852*c, 0 = -c - 3*k + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:40 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 405 - 405. Suppose a = -23*l - 19 + 479. What is the greatest common factor of l and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.71 - 9.7097305. Round g to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*a = 0, 2*g - 3*a = 4*g + 3. Let s be (-12)\/9 - (-4)\/g. Let i = 4 - 6. Does s = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -193, -434, -675, -916?\n\"Answer: -241*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 40. Let p = 17 - j. Let q = 12 + -17. What is the closest to 0 in 0.5, p, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.043 - 0.157. Let u = 0.1 - 0.4. Is u > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.902 - -1.902. Suppose 3*u - 8 = u. Let t be (u\/(-66))\/(5\/15). What is the fourth smallest value in -2\/3, 1, t, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 495, 1983, 4415, 7749, 11943?\n\"Answer: -7*h**3 + 514*h**2 - 5*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 158141\nAnswer: 8\/158141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-41 + (-8)\/((-24)\/9))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 81*j + 65. Let n(l) = 3*l**2 - 2*l - 60. Let r be n(6). Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -51. Find the common denominator of 357\/28*(-2)\/(-9) and ((-2)\/8)\/(3\/(-113)) + k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpp when three letters picked without replacement from {r: 2, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6681*i - 13255*i + 6797*i - 1.\nAnswer: 223*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/43 + 58\/301. Let j = -1265 + 1265.3. Let t = -6 + 7. What is the biggest value in t, j, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10477\/3546 + -53\/18. Let j = h - -774\/1379. Which is the third smallest value? (a) -4 (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9 = -5*c, -2*c + 2*j = 6 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 28 - (0 - (5 - (5 + -1)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42685 equal to -41718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 2*m)*(-3*m**2 + 0*m**2 - m**2).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300669*r**3*v**2 - 4482*r**3*v + r**3 - r*v - 4 wrt v.\nAnswer: 601338*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*j - 8, 4*j = -0*j + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - 5*r**4 - 5*r**4 + (0 + 0 - 2*r)*(-r**3 + r**3 + 2*r**3) - 2*r**4 + r**4 + 0*r**4 to the form c + n*r**4 + w*r**3 + z*r + p*r**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.2 + 0.02.\nAnswer: -24.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100110011101 + 1?\nAnswer: 10110100110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 707*z + 5568. List the prime factors of p(7).\nAnswer: 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)*n**(1\/2) assuming n is positive.\nAnswer: n**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856102803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12 and -131\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -346, -1345, -3010, -5341, -8338, -12001, -16330?\n\"Answer: -333*l**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, -3, -4 in decreasing order.\nAnswer: 9, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -i + 56, -3*a - 20012 = i + 2*a - 20082 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12541312?\nAnswer: 2, 7, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/45)\/((((-207)\/(-180))\/(-23))\/(-1))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*m + 346*m + 58 = 2*l, 5*l + m - 154 = 0 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 36. Let x be (-3)\/(r\/16*1). Let v(i) = -16*i**2 + 24*i - 4. Let u(s) = -s**3 + 48*s**2 - 71*s + 13. Let t(b) = x*u(b) + 11*v(b). Factor t(p).\nAnswer: -4*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -82, -129, -176, -223?\n\"Answer: -47*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 8*f + 9. Let c be d(7). Suppose -4*b = r + 5 - 17, -c*r = -2*b - 14. Calculate the remainder when 15 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -467 + 332. Let n = 224 + b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 15*p - 184 = 0. Suppose 0*s + 4*a = -3*s + p, 2*s - 2*a - 40 = 0. Suppose -v + s = 9. Calculate the remainder when 14 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 9 + 3*i**2 + 15 - 3*i**2. Let p(g) = -12*g**2. Give p(m(t)).\nAnswer: -12*t**4 - 144*t**2 - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 44\/5 of a microsecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/72 - 3*o**3\/4 - 77*o - 1. Factor z(j).\nAnswer: -j*(j + 27)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18222042?\nAnswer: 2, 3, 61, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.601344 rounded to 1 dp?\nAnswer: 109.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfffgmggffgg. What is prob of sequence fg?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15874614 by 7937307.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 37 - (-7 + -1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1341, -968, -347, 522, 1639?\n\"Answer: 124*n**2 + n - 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -4. Find the first derivative of -1 + 1 - 1 - a*q**4 + 4*q**4 wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 4*x**2 + 28*x - 8. Let d be k(-6). What is the greatest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 5:51 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13175.\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1224) - (4*sqrt(1224) - sqrt(1224))))\/(sqrt(24)\/sqrt(3)*-6).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 3. Let l be v(-3). Suppose l*w - 4*w = -12. Suppose 5*z - 138 = 3*b - 36, -z + 18 = -w*b. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (94\/(-4))\/(5\/(-10)). Suppose 5*l = 38 + w. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477481673, 477481677, 477481681, 477481685, 477481689, 477481693?\nAnswer: 477481697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0*q**3 + 3*q - 10 - q**3 + q**2 + q**2 + q. Let d(y) = y + 7. Let r be d(-5). Let z be p(r). What is the closest to 1 in -2\/13, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -0.27 (c) 1\/8 (d) -502662\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31 - 1361 + 152*t - 3321 + 271*t + 112*t wrt t?\nAnswer: 535","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*l - 13751, -18*l + 22*l - 17182 = -5*w. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5152 - 2216 = -614*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.9 + -1.1. Which is smaller: m or 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20340322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-15) - 2)\/(82\/1435). Let l(t) = -5 + 6 + 0*t**2 + 2 + 7*t + 2*t**2. Determine l(v).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 23. Suppose 2*i = -2*m + 392, -2*i + a*i = -3*m + 586. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/59, 18, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 40. What is the least common multiple of (-3)\/(-3)*12 + u and 98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 33*d + 33. Let p(i) = -1. What is -66*p(s) - 2*z(s)?\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:00 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**4\/12 + p**3\/6 - p**2\/2 + p. Let d = -17383 + 17380. Give k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x - 9. Let a be n(1). Put a, -9, 1, -7 in ascending order.\nAnswer: -9, -7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328 * -4505\nAnswer: 1477640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1325*w**2 + 3*w + 4. Let n be x(4). Find the third derivative of -21216*a - a**3 - a**3 + 57*a**2 + n*a - 3*a**6 wrt a.\nAnswer: -360*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10360.57 + -53?\nAnswer: -10413.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 21*x. Let u(l) be the second derivative of -l**4\/6 + l. Give z(u(y)).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:30 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x - 4*x + (5 + 8 - 67)*(-5 + 5 - 2*x).\nAnswer: 103*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f - 33. Calculate j(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 + 212*x**4 + 10*x - 4*x**2 + 10*x**2 - 214*x**4 + 4 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:13 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 o when four letters picked without replacement from oroooorxxr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b96 + 19a?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 - c - 1. Let w(b) = -b**3 - 4*b**2 + 8*b - 4. Let o(i) = 2*v(i) + w(i). What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*13\/(-39) - 2\/6. What is the biggest value in x, -3\/7, -0.4, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -264 + -8a9?\nAnswer: -b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (490\/(-21))\/(4\/18). Let p = j + 225. Suppose -p = 4*r - 9*r. Calculate the greatest common divisor of 60 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/(-96)*(-24)\/75.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/3)*y)\/((y**3*y)\/y*y))**(1\/17)\/((y**(-1\/3)\/(y*y*y**1))\/((y\/((y\/y**(1\/2))\/y))\/y**(-5))) assuming y is positive.\nAnswer: y**(331\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 25*a - 12. Suppose 19*x - 72*x - 195 = 12*x. Determine c(x).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8869.63 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 63*k - 2332. Calculate o(42).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g**2 - 4*g**2 + g**2)*((-16 + 1 - 31)*(4*g + g + 2*g) - 14720 - 164*g + 14720) in the form j + b*g**3 + f*g + q*g**2 and give b.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82466726 to the nearest integer?\nAnswer: 9081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttittttttttiitz. Give prob of sequence ii.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240887 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.16 - -9.16. Let k be ((-7)\/2 + 0)*1. Let r = 4 + k. What is the third smallest value in h, -0.2, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3160291, 3160243, 3160133, 3159937, 3159631, 3159191?\n\"Answer: -4*t**3 - 7*t**2 + t + 3160301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64674907327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -11. Let p be 449996\/(-6) - s\/(-12). What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10117\/(-2546) + (-29 - -33)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l + 6. Let y be f(-4). Suppose y = 3*b - 2*b. Let m = b + -4. Solve -3*v - 35 = 4*t, 5*t - m = -2*v - 41 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4810.911ng in tonnes?\nAnswer: 0.000000000004810911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -35.554 and -39.\nAnswer: -74.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232424 (base 5) to base 4.\nAnswer: -2010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -86*q**2 + 327*q + 82. Calculate s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 935 - 0?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4. Let u be (1 - 1) + (-6)\/p. Let s(i) = i**3 + 6*i**2 - i + 6. Let l be s(u). Solve -4*t + 0*t = 2*m - l, -4*m + 2*t - 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669811 > 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 594105988 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*l - 41*l + 139*l in the form m + i*l and give i.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**2 - 2 + 47*p**3 + 476*p**2 - 34*p**3 + 50*p**3.\nAnswer: 63*p**3 + 508*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*f = -0*f - 531, -571 = -2*r + 5*f. Suppose 0 = -5*z + 77 + r. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:14 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10863 is divided by 1324?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 127349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*2)\/(sqrt(144)*1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3558 - -1985. Let f = d - -6205\/4. Find the common denominator of -115\/14 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 59*m - 12*m.\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 8. Suppose 20 = 2*c + g*l, 3*c - 9*l + 3 = -4*l. Suppose -5*i + 12 = 3*w - 37, -c*w = -2*i + 4. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:27 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308814291359.900007 - -308812353513.9. Let w = -1937845 - f. Let o = w - 1. What is o rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqaqqfqifdfa. What is prob of picking 2 i and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390390.\nAnswer: 2, 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 24*b**2 + 1877*b + 284. Calculate j(-78).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -12414131?\nAnswer: 12414040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1476 and -139\/2214?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 59, 41.5, -1\/4, -237?\nAnswer: 41.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/60 - p**4\/6 + 5*p**3\/3 + 4. Let x(u) be the third derivative of m(u). What is the derivative of x(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6483, -12969, -19455, -25941, -32427, -38913?\nAnswer: -45399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/5, -2, -4.5, -1\/5, 0.1 in descending order.\nAnswer: 0.1, -1\/5, -2, -4.5, -38\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26191, -0.1, 0.1, -5 in ascending order.\nAnswer: -26191, -5, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 - 64. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -1\/2*p**2 - 6*p + 4. Let t = -11 + 3. Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/11)*g*g\/g**(-7))\/((g**(-1\/6)\/g*g*g)\/g*g*(g*g**(4\/7)*g*g)\/g))\/((g**(2\/5))**(-41)\/(g*g**2\/g)**17) assuming g is positive.\nAnswer: g**(129979\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.0234 rounded to one dp?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, b: 10}. Give prob of sequence bff.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/36 and -15\/4798?\nAnswer: 86364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 13*h - 20. Let u be d(-14). Let n(j) = -j**3 + j**2 - 19*j - 13. Is n(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6) - 29517\/6. Let q = -181 + r. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j + 2*j - 9 + 0*j + 7*j. Let o be p(3). Solve -n + 4 = 6*i - o*i, -2*n = i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-222)*1272\/530.\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2237\/6 or -373?\nAnswer: -2237\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 5*d + 0 - 4\/3*d**3 + 0*d**2 + 1\/4*d**4. Find the second derivative of a(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**8\/168 + q**7\/210 - q**5\/20 + q**4\/8 + 7*q**2. Let g(w) = -w**5 + w**2 - w. Let m(c) = -3*g(c) - x(c). Factor m(b).\nAnswer: b**4*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and -2*(-107)\/6*(6 - 279945\/46650)?\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, 1 i, and 1 l when four letters picked without replacement from lnnelllcien?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*z - 0*r - 8, -z = r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*z - 18, -3*z + 22 = -49*t + 47*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4446 by -38.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38935026 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*h**2*j - 6*h**2 + 16*h*j + h - 557748*j with respect to h.\nAnswer: 86*h*j - 12*h + 16*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 14. Let o(c) = c**3 - 6*c**2 - 9*c + 16. Let a be o(n). Let r(i) = -4*i. Let k be r(-1). Solve k*q = a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -44*n - 5876. Give q(-134).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0*(-4)\/(-4))\/(-1))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12288\/7 - -13728\/7. Find f such that -480\/7*f - 1200\/7*f**3 + w*f**2 - 54\/7*f**5 - 192\/7 + 60*f**4 = 0.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9811\/(-1))\/((-5065)\/(-11035)). Let a = -21375 - t. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/5 + 3328*m**3\/25 + 45942*m**2\/25 - 18684*m\/5 = 0. What is m?\nAnswer: -15, 0, 9\/5, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -489c?\nAnswer: -489d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -1, 3.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (13 - 3) + -11 - -17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1281.8 and 2.77?\nAnswer: 1284.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3575 = 4*z - 4741, -5*u - 8276 = -4*z. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 3:22 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10 - ((-9 + -1 - (-22 - -11)) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 78. Let r be (1*(-4)\/20)\/(1\/p). Sort 0, 12, r.\nAnswer: r, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(-4*k - 7*k + 4*k)*(-3 - 17 + 1)*(-5 - 2 + 4) as y + l*k and give l.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10300131213 (base 4) to base 14.\nAnswer: 246691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1487*r - 164*r + 99060 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 2*f = 3*p + 10, -2 = 3*p + 4*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (246 - 257 - 4*f + 0*f)*(1 - f - 1).\nAnswer: 4*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1146 - 1077. Calculate the highest common divisor of v and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**4\/s*s*s*s**(-1\/3)*((s*s**(-2\/5)*s)\/s)**2)**33 assuming s is positive.\nAnswer: s**(1133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -39 + (86 - -4) + -79?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 2293770*o + 38995535.\nAnswer: -5*(o - 17)*(o + 458771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60607728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 8. Let p be h(-9). Let r be 10*(p - (-14)\/10). Let s be (-14)\/63 + r\/9. Which is the closest to -2\/5? (a) 4 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 164654820 to the nearest 1000000.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.3. Let w = 241.95 + -242.05. What is the third biggest value in o, w, 8, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0 + 0*y**3 + 1\/14*y**7 + 0*y**6 + 0*y**5 - 3*y + 1\/4*y**4 + 0*y**2. Find the third derivative of f(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32\/15 + -9\/5. Let m = 0.54 + 0.06. Let n = -4.6 + m. Put -2\/7, n, p in increasing order.\nAnswer: n, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2\/5, 1, 1201.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 7. Let t(l) = -l + 6. Let r(m) = -6*h(m) + 7*t(m). Let c be r(-3). Solve -3*n + n = 3*a + 18, -3*n + c = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 106*m**2 - 511*m + 806. What is r(101)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0 + 10*d**2 - 11\/120*d**6 - 1\/3*d**4 + 0*d**5 + 0*d**3 + 0*d. Find the second derivative of o(t) wrt t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-13) + 80\/13. Let d be 15\/6 + 3\/q. Solve -1 = o - 4, d*o = 4*i + 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2613.5630733 and -0.9.\nAnswer: 2612.6630733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(10)*-1))\/(sqrt(4) - sqrt(144)*-1).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(38)\/sqrt(2)*-1 + (6*(sqrt(76)*2 + sqrt(76))**2 - sqrt(76)).\nAnswer: 4*sqrt(19) + 4104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(2\/25)*r))**(2\/43)\/(r**(-32)*r**(-2\/67)) assuming r is positive.\nAnswer: r**(2303332\/72025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -177295*i**3 - 8*i**2 + 8. Let o be y(4). What is o rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9414857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120591*p - 56525 wrt p.\nAnswer: -120591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -12) + 0 + (1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186.4 + -0.4. Let g = p + -279. Let o = -93.041 - g. Round o to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -8438 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:24 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 4 + (-2 - 1 + 2)*(2 - 4 + 0))*(27 - 27 + 2*i**5 + 20*i**3).\nAnswer: -8*i**5 - 80*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1298885940*v**5 - 542531607*v**2?\nAnswer: 77933156400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(684) - (sqrt(684) + 4) - sqrt(684)) + -2 + sqrt(19) + (1*sqrt(209))\/sqrt(11).\nAnswer: -4*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -351, -338, -317, -288, -251?\n\"Answer: 4*j**2 + j - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*s)*((1 + 2 - 2)*(3*s - 2*s + 0*s) + 7*s + 2*s - 22*s + 3*s + 0*s + 0*s) - s**2 - 1 + 1.\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let v be (-27)\/(-12) + -3 - 2\/8. Let j be (-7 - v)\/2 - (36 + -51). Solve 0 = i*k + 4 - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 1, -33, -101, -215, -387, -629?\n\"Answer: -2*i**3 + i**2 - i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38144972*l**4*n**3 + 945*l*n**3 - 2*l*n + 40*n**3 + 7*n**2 wrt l?\nAnswer: -457739664*l**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - -3.91. Let d = x - 6. What is the closest to 1 in 1\/5, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 - -729\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 - (-2 - -2)) + -4 - 4) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 626213892 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182*o*r**3 + o*r**2 + 342*o*r - 28*r wrt r?\nAnswer: 1092*o*r + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 602695401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 2*s + 24. Give t(7).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u = -0*u + 165. What is the closest to u in -2\/9, 0.1, 130, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -4*o - 5*v - 137, -15*o = -5*v - 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 1. Let u(y) = 4*y + 500. Determine -3*l(i) + u(i).\nAnswer: -2*i + 503","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 69, 102, 135, 168?\n\"Answer: 33*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h = -40*h - 513. What is the remainder when 200 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6485392, 12970775, 19456150, 25941517, 32426876, 38912227?\nAnswer: 45397570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 9) + -4 - ((-3 - 10) + -14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1499 - -1498.9978898. Round n to five dps.\nAnswer: -0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10078 a factor of 799251333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -247, -20 in descending order.\nAnswer: 3, -20, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 11*b**2 - 14*b + 1. Let t be g(12). Suppose -31 - 19 = -2*i. Let y = t + i. Is y <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -60*t + 62*t. Suppose 5*h + t = 2*i, -2*i - 9 + 28 = -h. Solve -3*f + i*f + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1283 + 1286. Let m(y) = -18*y. Determine m(f).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 2\/7 (c) 0.319 (d) 1 (e) 50 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02207513878 to four dps.\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-1)\/(-18)*-2). Let i be (-1 - 0)*(-1 - t). Does 7 divide ((-14)\/i)\/(1\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -38 (c) -4235.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -78*f - 27 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + r + 3*r)*(2*r + r - r) + 2*r**2 - r**2 + 0*r**2 + (48*r + 95*r + 329*r)*(-r - r - 3*r).\nAnswer: -2361*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a + 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34816276 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -1703154235\nAnswer: -1703154235.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 73. Let v be (y + -5 + 3)*0. Suppose n = -v*n + 143. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*t**3 + 15*t**2 - 362*t - 21802186.\nAnswer: 150*t**2 + 30*t - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 - -300.76. Let c = t + 8. What is c rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 42*l - 540. Calculate r(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - -0.1369425789338.\nAnswer: 0.1769425789338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/120 + 13*k**5\/60 + 5*k**4\/8 + 11*k**3\/2 - 150*k**2. Give g(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -1. Let k(m) = 7*m**3 - 2*m**2 + 2*m - 2. What is the lowest common multiple of k(2) and r?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77460760 and 131768.\nAnswer: 542225320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x**2 + 7*x. Let l be y(-7). Let j = 28 - 25. Suppose -7*o + j*o + 1360000 = l. Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 20*n + 24. Give h(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, x: 3, s: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - 3.07. Let u = 616.01 - 619. Let o = u - a. Round o to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/7)*k)\/k*k\/((k\/((k**(4\/5)*k*k)\/k))\/k*k*k) assuming k is positive.\nAnswer: k**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {m: 1, g: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 + 3131*d**2 + 23809*d - 19692. What is s(-1036)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2. Let c = 10 + -31. Let s = c + 28. Let b(f) = s*f - 4*f**2 + 2*f**2 - 7*f. Calculate -14*b(q) + 5*g(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 51*d - 133. Let q be j(4). Calculate the greatest common divisor of 923 and q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, -2659\/228.\nAnswer: -21, -2659\/228, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -231 + 233. Suppose 0 = 2*n + 2*w - 340, x*n + 4*w - 351 = -13. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 4 + 3 + 3. Solve -20 = 2*t - u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -31*a + 17. Solve 17 = 2*c + a*v - 6*v, c - 3*v - 13 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - -1*sqrt(7)) + 3 + -2*(-2 + sqrt(7) + sqrt(7)) + sqrt(7))**2.\nAnswer: -14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 4*l + 3. Let f be k(-4). Suppose -f*i - 1 + 34 = 0. Solve -x = 3*x + w - i, -4*x + 14 = 2*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146760, 293539, 440320, 587103?\nAnswer: 733888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -34*c + 2939. Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:31 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l - 10. Let w be ((-3)\/(-9))\/(1\/(-3)). Let b be x(w). Solve p + 0 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 60 = -71*a. Let r = 3 + 2. Solve a*s - 20 = r*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144122166 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 3.\nAnswer: 112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**5)\/z**13)**(-24\/11) assuming z is positive.\nAnswer: z**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52683906599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2809*d**2\/2 - 4399*d + 6889\/2 = 0?\nAnswer: 83\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-2*-3 + sqrt(2736) + 1 + sqrt(2736) + 1 + (sqrt(2736) - (0 + sqrt(2736) + 2)) + -1 + 2*sqrt(2736).\nAnswer: -1 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) + (sqrt(343) - sqrt(343)*-1) + -3))**2 + -1 + (-2*sqrt(700) - sqrt(7)).\nAnswer: -105*sqrt(7) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o - 1. Let f(y) = y**4 - 2*y**3 - 9*y**2 + 44*y - 9. Let h(z) = 18*a(z) - 2*f(z). Find the second derivative of h(v) wrt v.\nAnswer: -24*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*o**3 + 11336161*o**2 - 11336161*o**2.\nAnswer: 788*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2. Let v(q) = 1904*q**2. Determine n(v(z)).\nAnswer: 14500864*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13674124*y**2 + 14977632?\nAnswer: 27348248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.972 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -227.3+8\nAnswer: -219.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 230434 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 486 = 37*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8339 - 8339.15. Sort 1, m, -72, -0.1 in decreasing order.\nAnswer: 1, -0.1, m, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 - 3*a**2 + 13*a - 7. Is d(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65465 or 65466?\nAnswer: 65465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/59? (a) 0.4 (b) 0.5 (c) 36.1 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 57 + 56 = -30 - 339 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 201*c**2 + 15066*c - 685. Give r(-75).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 77, 120, 165?\n\"Answer: g**2 + 38*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20173 - 21248. Which is the fourth biggest value? (a) x (b) 2 (c) 0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 70 + -11 + -4 + -3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 859172 divided by 4\nAnswer: 214793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(3)*1) - (sqrt(28) + sqrt(224)\/(-3*sqrt(8))))\/(((sqrt(320)*2)\/sqrt(10))\/(sqrt(64)\/sqrt(72))).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 591325 and 27250.\nAnswer: 5913250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000112692 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 58. Suppose k + 5 = -o. What is the remainder when (-253)\/(-4) + o\/80 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45594?\nAnswer: 2, 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.043, 2, -0.057, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 646468 and 5946391?\nAnswer: 689781356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*y + 330*y + 84*y.\nAnswer: 347*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 11*l**4 + 42*l**3 + 54*l**2 - 27*l - 81 = 0. Calculate l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**3 - 10*w**2 + 19*w + 17. Let x(a) = 11*a**3 + 16*a**2 - 29*a - 26. Let z(o) = -8*i(o) - 5*x(o). Let z(j) = 0. Calculate j.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e7703 (base 15) in base 11?\nAnswer: -3462157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.87 - 31.37. What is the fourth smallest value in 4, q, -431, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 9) to base 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmyiixyyioyiyxim. What is prob of sequence xmxo?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -1)\/(45\/(-30)). Solve -5*i + k = -2*k + o, -22 = -5*i - 3*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 2, y: 2, v: 2}. Give prob of sequence uy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005820959 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 2 - 2 + (7*s + 28*s - 12*s)*(3*s**2 - 7*s**2 - 2*s**2))*(7 + 12 - 5).\nAnswer: -1946*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 54. Solve 7*n - 9*n + d = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-3) - 0)\/((-4)\/(-6)). Sort 1, q, -4, 2 in ascending order.\nAnswer: q, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29518*w = 29599*w + 4212 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 55. Suppose 0*j - 11*j + 286 = s. Suppose 5*x - 2*z = -0*z + j, -x = -5*z - 19. Solve -p = p + x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let m = q - 0. Let x = -2.864 - 0.136. Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -533*m**4\/24 + 120*m**3 + 140*m**2 - 5. What is the derivative of c(w) wrt w?\nAnswer: -533","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/9 (b) 2 (c) 0.082 (d) -0.1 (e) -201 (f) -4\/3 (g) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z - 1. Let l be p(1). Suppose l*u - 40 = 2*u. Suppose -31 = 6*r + u. Let x(v) = v + 7. Determine x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.61649*-2\nAnswer: -1.23298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 10:20 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 37*d**2 - 7*d + 11. Let w be m(-4). Let k = 1748 - w. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*s - 31172 - 4180 = 0. Let c = s - 451. Solve -4*b - 20 = 0, -3*g + 7*b - 2*b + c = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u + 2. Let m(w) = w**3 + 7*w**2 + 4*w + 15. Let p(d) = -3*i(d) + m(d). Let v be p(4). What is the smallest value in v, -1\/5, 0, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25603*k**2\/5 + 30*k.\nAnswer: k*(25603*k + 150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 57 = -3*g, 3*s = -4*g + 4*s + 76. Suppose l - g = 3*n, n + n - 118 = -4*l. Suppose 6*b - 116 = l. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 3. Let v be s(2). Let x(u) = -u + 9. Let q be x(v). Let y(w) be the first derivative of w**4\/4 - w**3 - 5*w**2\/2 + 4*w + 137. What is y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1701)\/108 - (-6)\/8. Let h = 30 - 12. Let u = m + h. Calculate the remainder when 3 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 3*p - 36, 10*p = -413*j + 414*j - 77 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c**2 + 9*c + 12. Let r = -25 - -17. Let z be f(r). Suppose 8 = -j + 5*l, -z = 3*j - 7*l + 2*l. Let v(n) = n**2 + n - 2. What is v(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80121055 by 195895.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2329, 4662, 6995, 9328, 11661?\n\"Answer: 2333*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 + 4*n - 2. Let m be g(4). Suppose 3*y + y - 31 = -3*d, d + 4*y = -3. Let q = m - d. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukubbkgbwuwgu. Give prob of sequence gk.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42659044*k**3 - 539565 wrt k?\nAnswer: 127977132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 3*i + 13*i + (0 - 3 + 1)*(2*i + 2*i - 2*i) + 2*i + 0*i - 3*i + 8*i + 5 - 5 + (-16 + 7 + 1)*(-2*i - i + i) in the form d + h*i and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = f + 2828, 0 = -5*y - 4*f + 4719. Let u = -433 + y. List the prime factors of u.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -1.1. Let m = 0.0593 - -0.6677. Let p = l + m. Round p to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 148?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/19)*b*(b*b*b\/(b*b\/b**(-3\/2)*b*b))\/b)\/(b**(-4\/9)*(b\/b**(-1\/6))\/b) assuming b is positive.\nAnswer: b**(-362\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 4*h + 18. Let w be t(6). Let k = w + -138. Which is the third biggest value? (a) 2\/15 (b) k (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 949*s**2 + 207*s + 6. What is the tens digit of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 24. Determine z so that -19*z - 392*z**2 - 65*z**5 + 25*z**4 + 504*z**3 + 135*z - 43*z**q - 133*z**4 - 12 = 0.\nAnswer: -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5747058 to the power of 1\/2, to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*t + 177. Let k = 48 + t. Suppose 4*y - 22 = 6*i - 5*i, 0 = -k*y + 5*i + 8. Sort 4, y, -5 in decreasing order.\nAnswer: y, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -169*x**3 + 39*x**2 - 39. Let g(n) = -17*n**3 + 4*n**2 - 4. What is 4*b(v) - 39*g(v)?\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 161 (c) 0.8 (d) 0 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 + 210*h - 2383. What is v(12)?\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -917*b. Let a(w) = -1825755*w. Calculate 4*a(y) - 7965*t(y).\nAnswer: 885*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15830?\nAnswer: 2, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**5 - 5429*g**2*i**3 + 2*g*i**3 - 301*g*i - g + 6*i**3 wrt g?\nAnswer: -140*g**3 - 10858*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.61991 meters in nanometers?\nAnswer: 11619910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 greater than -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2)\/b**(-3)*b**(-2\/11)*b*b*(b\/b**2)\/b*(b*(b\/(b**(2\/11)*b))\/b*b**(-2))\/((b\/(b*(b\/(b**(-4)\/b))\/b))\/(b*b*b**(-1\/7))) assuming b is positive.\nAnswer: b**(808\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 195521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3 + 1 + 1). Let o be (23\/2)\/(t\/(-2)). Let a = -138 + 391. Calculate the greatest common divisor of o and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68398*j = 68716*j + 1272 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and 4.64.\nAnswer: 18.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 2*(1 + sqrt(192)) - (-2 + 0 + sqrt(192)))**2.\nAnswer: 128*sqrt(3) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y - 2. Let f be q(-6). Let b(n) = 9*n**2 - 7. Let g be b(-2). Is g >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*i**6*u - 81572*i**5*u - 213*i**2*u - 5554*i*u - u wrt i.\nAnswer: 2400*i**3*u - 4894320*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104\/19? (a) -1\/6 (b) 10\/17 (c) 8\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1876*r - 2087 + 2387*r**3 - 1854*r + 3730*r wrt r.\nAnswer: 7161*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 9*b**2 - 9*b + 39. Determine t(-12).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 14*h**2 - 30*h - 17. Let x be v(16). Solve 7*b + x = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(180) + -6*(sqrt(180) + 1) + sqrt(180) + 3))**2.\nAnswer: 1296*sqrt(5) + 26001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/27)\/(2\/(-3))*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7757092 is divided by 156?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 24. Let t be v(-11). Let r(u) = -2262*u - 48*u - 5240*u. Let x be r(t). What is x rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2897760 and 2880?\nAnswer: 17386560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25209 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 2*t = -4*t - 2*a - 38, 3*a = t + 7 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 3*u**2 - 59636*u**3 + 59647*u**3.\nAnswer: 11*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 65 + -74 + 137?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-80)\/90*(-3)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -270 - -274. Solve 0 = -s + 5*a - 3, -6*s + f*a = -7*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 3. Calculate o(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4 + 4*a - 3 - 4. Let g be (-6 - -5)\/(1\/11). Let y be (1\/9*3)\/(g\/(-99)). Give w(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.85 + -370.85. Let t = a + 366. What is the second smallest value in -4, 4\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1797745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -853402, 5 in descending order.\nAnswer: 5, -4, -853402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (2 - -4) - -61 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230036 (base 7) in base 3?\nAnswer: 2002000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 (base 12) in base 3?\nAnswer: 1211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220 - 188. Let c = 44 - s. Solve 3*q + 0*p = -p + c, 10 = -q - 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 - 11*l - 89. Let g be t(-6). Solve 0 = -g*b + 28*b + 75 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*h + 143*h + 195*h + 64*h)*(h**2 - h**2 + 3*h**3).\nAnswer: 1536*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-640)\/(-110) - 2\/(-11). Let b(u) = 6*u + 23. Let k be b(l). Let p = -29 + k. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1\/(3\/(-6)). Suppose 5*w - 3*s - 815 = 2*s, -652 = -4*w - b*s. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 36*s**2 - 75*s**2 + 50*s**2.\nAnswer: 11*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -79*a - 9748. Let i(b) = 10*b - 4. Determine 8*i(y) + p(y).\nAnswer: y - 9780","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 12 = 27. Suppose -m = -5 + u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 199*k**2 - 695*k + 906. What is j(-103)?\nAnswer: -1772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.02\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/3 + 128*j**4\/3 - 40*j**3 - 380*j**2\/3 + 122*j\/3 + 84 = 0 for j.\nAnswer: -1, 1, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*j = -5*w - 4, 3*w - 4*j = -6. Suppose -i = -w*i + 16. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 13) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 312\/11 in 1\/5695, -1\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.709 times 8974.1?\nAnswer: 6362.6369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960 divided by -32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 5*k**2 - 4*k - 1. Let o be h(6). Let c(m) = m**2 - 8*m + 8. Let b be c(7). Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -712, -2, -10, 25\/8, 1, 0.4, 0 in descending order.\nAnswer: 25\/8, 1, 0.4, 0, -2, -10, -712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0347095 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18580 divided by 9290.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 1\/12*y**4 - 1\/45*y**5 + 34 + 0*y + 0*y**2 + 1\/540*y**6 + 28\/3*y**3. Let t(z) be the third derivative of w(z). Factor t(u).\nAnswer: 2*(u - 3)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*p - 789*p - 2509*p + 18*p.\nAnswer: -3145*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 1 + 267*z - 264*z + 3*z**3 - 6*z**3 + (-4*z**2 + 5*z**2 + z**2)*(-7*z - z + 2*z).\nAnswer: -15*z**3 - z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-4*f**4 + 3*f**4 + 3*f**4) - 4*f**4 + 11*f - 10*f**3 - 19*f + 6*f.\nAnswer: -8*f**4 - 10*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpjtngs. Give prob of picking 1 g, 1 t, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645271.\nAnswer: 691, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 11*r**7\/210 + r**6\/20 + 149*r**5\/20 - 277*r**2. What is the third derivative of y(o) wrt o?\nAnswer: 264*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, -100, -7, 7.\nAnswer: -100, -7, 1, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1089 times -0.5\nAnswer: 544.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1109, -28, -86, 3, 5.\nAnswer: -1109, -86, -28, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -732*k**6 + 65*k**4 + 94399*k**2.\nAnswer: -87840*k**3 + 1560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 57525619.8 to the nearest ten thousand.\nAnswer: 57530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**1*s)\/s))**(-7)\/(s*s\/((s**(-1\/3)*s*s)\/s)*s*s)**(2\/81))**(-10) assuming s is positive.\nAnswer: s**(200\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksfvfvfffjkfsjyjjk. Give prob of picking 1 k and 1 j.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3447 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 9325.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(5*a - 2*a - 2*a) + (3*a + 116 - 116)*(6 + 59 - 27) in the form j + w*a and give w.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*s + 120, -194*p = -190*p - 3*s - 177. Calculate the remainder when 76 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-33))\/((-144)\/(-360)*(-15)\/4).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10390 is divided by 236.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90544?\nAnswer: 2, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*r + r + 380, -4*j + 524 = 3*r. Suppose -4*l + 3*f = -j, 3*l - 5*f - 58 - 27 = 0. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 - k - 6. Let i be z(-3). Suppose 4*w = -0*w - 3*m + 39, 0 = -2*m - i. 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 the value of (-16 - (-2)\/((-42)\/63))*(3 - 6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 52 = -15*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1666\/5 + -356. Let h = 367\/15 + b. What is the nearest to -2\/7 in -1, h, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 3 = 4*j. Solve a + 0*a - j = -4*t, 0 = 5*a - t - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.021?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6568155 and -18\/385.\nAnswer: 45977085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**28)**(9\/7)\/(m*m\/(m*m**(2\/127)\/m)*m**(6\/7)))**(-48) assuming m is positive.\nAnswer: m**(-1469808\/889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20532 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 + 1102*h\/3 + 368.\nAnswer: -2*(h - 552)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 27*o**2 - 283*o**2 + 312*o**2 + 32 in the form h + z*o + x*o**2 and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 + 7248*g**3 + 339768*g**2 - 28992*g - 1359024 = 0 for g.\nAnswer: -46, -2, 2, 2462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -13, -31, -65, -121, -205, -323?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -30 + -43 + -23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 196743.\nAnswer: 8\/65581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24419 = -4*p - 2*a - 24447, -6*p + 4*a + 14 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + 9*d**2 - 9*d**2 + (-2*d**3 + 0*d**3 + 0*d**3)*(-17*d - d**2 + 17*d) + (0 - 2*d**4 + 0)*(-3 + 3 - d).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/72 - 31\/(-6). Solve -41 = 5*l + c*q - 16, 5*l - 2*q + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -33, -42?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from sscscmhhscsh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 7. Let l(s) = -o + 3 + 0 + s**2. Let f(h) be the first derivative of h**2\/2 - 1. What is l(f(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 1210608.\nAnswer: 17\/605304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 897 (base 10) to base 6\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -319 + -39?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u - 6 + u + 4*u**2 + 3. Let w be (-4 + 17 + -7)*1\/2. Let d(l) be the second derivative of 5*l**4\/12 + l**3\/6 - 2*l**2 + l. What is w*d(o) - 4*j(o)?\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -900, -3606, -8110, -14406, -22488, -32350, -43986?\n\"Answer: i**3 - 905*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -657.7 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-35)*(-1 + -2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-475)\/(-100))\/(7\/7*2\/8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211 - -213. Let b = -7279927\/208236 - -2482\/1407. Let l = b + 133\/4. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/345, 1, 57 in ascending order.\nAnswer: -14\/345, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*c - 119 = 0, 5*t + 23 = 6*t + 5*c. What is the lowest common multiple of t and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 - 9686706*u - 7819356094203 = 0.\nAnswer: -1614451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z**2 - z. Let l be w(-1). Let s = 43 + l. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 679*w\/4 - 31065\/2.\nAnswer: -(w - 570)*(w - 109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yup when three letters picked without replacement from yyppppypuppyyy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {g: 1, s: 5, k: 1, e: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 22*v**2 + 32\/15*v**3 + 2\/5*v**4 + 0 + 1\/600*v**6 + 1\/25*v**5 + v. Find d such that f(d) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) 1\/18 (c) 3 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 965461 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (-1 - -4) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 + (-3)\/1 - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(67\/(-134)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43130, -43129, -43128, -43127, -43126?\n\"Answer: w - 43131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -237, -261, -283, -303?\n\"Answer: r**2 - 27*r - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:04 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.617ml to litres.\nAnswer: 0.013617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2775*m - 1 + 7035*m - 2 + 3.\nAnswer: 9810*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-6))\/(6\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017 = -19*v + 22*v. Let w = 670 + v. List the prime factors of w.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acazccazacacaca. Give prob of picking 2 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a - 48*a - 18 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*t + 5573 = -275 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237929 is divided by 499?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**6\/14 - 18*o**5\/35 - 39*o**4\/28 - 12*o**3\/7 - 6*o**2\/7 + 40. Factor k(z).\nAnswer: -3*z*(z + 1)**2*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4485 and 63687?\nAnswer: 318435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*j + 3 + 10 = 0, 4*g - 4*j - 20 = 0. Let n = 21 - 10. Calculate the smallest common multiple of g and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(425)*-1 + sqrt(425))**2 + sqrt(17).\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -1, 17, 53, 113, 203, 329, 497?\n\"Answer: v**3 - v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -37851141.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -550, -582, -644, -742, -882, -1070, -1312?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/15, 2\/3, 328.8 in descending order.\nAnswer: 328.8, 2\/3, 7\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h**2 - 28*h + 32. Let d(o) = 6*o**2 + 9*o - 10. Determine 7*d(w) + 2*j(w).\nAnswer: 8*w**2 + 7*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22238, 49992, 77746, 105500, 133254?\n\"Answer: 27754*a - 5516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004415 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -131778 divided by 43926?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-3*-6*sqrt(539) + -5))*-4.\nAnswer: -116 + 2520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -50*m + 2*m. Let j(s) = -2*s**3 - 11*s + 10*s**2 + 3*s - 2*s**3 - 3. Let y(h) = h**3 - h**2 - 1. Let d(n) = m*y(n) - j(n). Determine d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 67. Suppose -4*w + 4 = 5*t, 0 = -2*t - l*t - 5*w - 12. Let s be 2*6\/12*(-1)\/t. Which is the closest to 1? (a) s (b) -2\/7 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*j - 8*j - 4, 0 = -s + 6*j + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffffffffffffqffffq?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/442*(86 + -55)\/(-31)?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbek. Give prob of sequence bbe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x\/(x*x**(4\/3)*x*x)*x))\/x**(16\/3)*(x**(-1\/20))**20 assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19110091.\nAnswer: 7, 11, 13, 17, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + g - 3*g)*(-g + 2*g**2 - 16 + 2*g + 10) to f*g + v*g**2 + r*g**3 + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167981, 168063, 168199, 168389, 168633?\nAnswer: 168931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:16 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4955 + 0.4955. Suppose 4*b = b - 15. What is the second biggest value in -4, m, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 2*v - 55. Let j be x(6). Which is the biggest value? (a) 2\/5 (b) 1\/2 (c) 0.02 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 + 2*j**3 - 3705*j**2 - 245*j - 423 wrt j?\nAnswer: -40*j**3 + 12*j - 7410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296*z**3 + 162541*z**2 - 170998939 wrt z?\nAnswer: -888*z**2 + 325082*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h*k**2*u - 371*h*k**2 - 2*h*k + 3*h*u + k**2*u - 2*k**2 - k*u + 160*k - 67 wrt k?\nAnswer: 58*h*u - 742*h + 2*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5779010 to the nearest integer?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -60, -65, -72, -81, -92, -105?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3877*r = -3866*r + 66 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4 - 5*m - m + 2*m**3 + 6*m - 13*m**2. Let z(a) = a**3 - a - 1. Let q(v) = -p(v) + 3*z(v). Is q(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 85 = s - 11, 3*s = -4*f + 188. Suppose -y + 4*u + f = y, -5*y + 4*u = -95. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12822586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*m**2 - 6293*a - 977*m**3 with respect to m.\nAnswer: -6*a*m - 2931*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 14) to base 11.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 plus 0.4?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = 4. Factor 0*g**2 + 22 - 3*g**o - 2*g**2 - 2.\nAnswer: -5*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20312201 (base 4) in base 2?\nAnswer: 1000110110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2799, -11223, -25281, -44973?\n\"Answer: -2817*m**2 + 27*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, o: 2, p: 3, z: 1, q: 2, a: 3}. What is prob of picking 2 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5586 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 12*x**2 + 15*x**2 + 1152 - 25*x**2 + 93*x + 3*x = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -43. Suppose 5*r - 115 = 3*a, -5*r - 3*a = -0*a - p. What is the greatest common factor of r and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-140)\/(-15))\/((-2629)\/(-2631) - 1). Let f = -245609\/20 - m. Let z = -46281\/16 + 2894. Find the common denominator of z and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -35*g**3 + 35*g**2 + 25*g + 15. Let k(q) = 9*q**3 - 9*q**2 - 6*q - 4. Let t(c) = -15*k(c) - 4*v(c). Suppose t(m) = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:57 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798280 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (-13 - (-5 + 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = -3*l + 2*j, -10 = 3*j - j. Let u(p) = 20*p + 11. Let z be u(5). Let v = l + z. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -140 or -164?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 675193 divided by -2\nAnswer: -675193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 - -379. Let f(u) = 3*u**2 + 3*u + 2. Let x be f(-2). Solve -z + w*z + x = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-14) + (-1856)\/(-56). Suppose 3*o = -0*q - 5*q + 20, 4*q + 20 = 0. Let i = w - o. What is the lowest common multiple of i and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8541, -17075, -25609?\n\"Answer: -8534*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*10\/12 - (-307)\/(-307)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 19. Let p be (10 - 1)\/((-18)\/12)*-1. Suppose -98 = p*y - 20. What is k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*p = 366, -s + 84 = -0*p + 3*p. Let t = -92 + s. Put t, -1, 0, -5 in decreasing order.\nAnswer: t, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/(-9) - -4)\/((-2)\/3). Solve -5 = -4*k - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-3) - (5 - 1). What is the second smallest value in 2\/3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.66 + 217.34. Let q = g + -221.7. Which is the nearest to 0.7? (a) q (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3880, 7763, 11646, 15529, 19412?\n\"Answer: 3883*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(-10*x - 22 + 22) to the form w + z*x and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3167072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 58113000 to the nearest one million.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*q - 494 + 1958, 1851 = 5*t - q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142011*k**3 - k**2 + 18093*k.\nAnswer: 852066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 13\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4114 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/2 - 2)\/(-1). Let f(z) = z**3 + 3*z**2 - 4*z + 4. Let c be f(-4). Suppose -2*o**c + 3*o**4 + 4*o**h - 3*o**5 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*m - 8540 - 48400. List the prime factors of m.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/79 in -1\/10, -1, 1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/4*n - 27\/8 - 3\/8*n**2 = 0 for n.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 2*m + 3. Let h be t(3). Let x(s) = 8 + h*s**3 + 12*s - 2*s**3 - 8*s**2 + 3*s**3 - 3*s. Determine x(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1\/9, -19, -3, 3\/2 in descending order.\nAnswer: 3\/2, 2\/15, 1\/9, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 1235190?\nAnswer: -16057470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.381122 times 2?\nAnswer: 112.762244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -104*p + 485. Let y(w) = 5*w - 2. Let u(t) = 11*t - 3. What is p*y(l) - 3*u(l)?\nAnswer: -8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (6 - 0) + -11 - -16\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -8. Calculate the remainder when (1 - -2)\/(1\/11) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 60251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 11*n + 1035. Suppose 0 = -4*u - c + 125, 9*u + n = 12*u + 5*c. Solve u = -5*x + 5*j, 5*x - 3*x + 5*j - 23 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let a be f(-6). Let h = a + 13. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 - 2) - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypqqefa. What is prob of sequence ap?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i + 9. Suppose -3*d + 2 = 2*a - 6*d, -5*d = 4*a - 26. Let u(o) = -7*o - 5. What is a*v(k) + 7*u(k)?\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15691 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/(h**(-2\/9)*h)*h**(-9)\/((h\/(h**9*h*h))\/h)*((h**0)**(2\/3))**(-38) assuming h is positive.\nAnswer: h**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26\/35 + -36\/35. Suppose -5*r - 4*i + 15 = 0, -i - 2*i = r - 3. Suppose -3*d = r*d. What is the closest to 2 in 0.1, z, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0556 and -1.\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x - 12*x + 16*x - 4*x + 0*x + 3*x + (0 + 3 - 1)*(1 - 2*x - 1) + x - 2*x - x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000842942 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 17*q**2 + 3*q - 8. Determine s(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9346967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) -2 (c) 514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322676 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58574*s + 58565*s + 3*s**3 - 117139*s + 2*s**3 + 3*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/4 - 255*w**3\/4 - 2479*w**2\/4 - 7125*w\/4 - 1225 = 0.\nAnswer: -245, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v + 1. Let w(u) = -3*u**2 - 3*u. Let c(f) = -4*f**2 - 4*f. Let y(s) = 5*c(s) - 7*w(s). What is -j(x) - y(x)?\nAnswer: -x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 3, p: 2, w: 6, u: 1}. What is prob of picking 1 w, 1 u, and 1 p?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40419 and 890919?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 - 22*b**2 - 20*b**2 + (0*b - 3*b + 4*b)*(-1 - 2*b + 1))*(3*b**3 - 5*b**3 + 0*b**3).\nAnswer: 100*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -r + 116 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -165. Calculate the smallest common multiple of v and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -39\/4, 6\/7, 12.813?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369633.\nAnswer: 3, 11, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(65\/(-2)))\/(630\/(-450)*1680\/(-196)).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*m = y, 0 = -4*y - 4*m + 16. Suppose -3*s + 2*s + y = 2*c, -3*c + 16 = 5*s. Solve 0*b = -s*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/26208 and 1\/24570.\nAnswer: 393120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 373 (b) 3 (c) 4\/5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 - 4*t + 10. What is the lowest common multiple of x(-5) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8824.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 3*z + 15. What is y(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/58 and -145\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -2, -16, -40, -74, -118, -172?\n\"Answer: -5*s**2 + 11*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -844*q + 231270. What is m(274)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 18 = 5*h + b, -2*h + 12 = b. Suppose 5*y - 3 = 3*j - 0, y = -2*j - 2. Solve -h*c + 2*c - w - 16 = y, c - 3*w - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-70))\/(5\/(-20)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81856 and 2752?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 2, w: 3, c: 6}. Give prob of sequence wwk.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*o + 27, 5*o - 17 = -5*q - 7. Suppose q*r - 8 = 2*n, -19 = 5*r + 4*n - 3. Solve -v - 5*x = -r*v - 16, 5*x = -4*v + 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -17. Suppose 4*q + l = 0, 5*q + 34 = -z - z. Suppose 49*y - 61*y - 108 = 0. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 295)*550\/220.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -5*m**7\/14 + m**5\/10 - 13*m**4\/6 - 47*m. Find the third derivative of q(l) wrt l.\nAnswer: -900*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -354, -0.1, -3\/23, 8 in increasing order.\nAnswer: -354, -3\/23, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/42995 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 7*h**4\/12 + 2*h**2 + 17*h + 14. Let i(b) = 5*b**2. Determine i(d(g)).\nAnswer: 245*g**4 + 280*g**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 6}. Give prob of picking 2 l and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-2*sqrt(5)) - (sqrt(26)\/sqrt(2))**2*5.\nAnswer: -65 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclccluull. Give prob of sequence uluc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v - 2)*(-1 + 3*v + 1)*(2*v**2 - 6*v**2 - 10*v**2).\nAnswer: 84*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4 - 128563*y**3 - 4131661241*y**2 + 28927157155*y - 24795367350 = 0.\nAnswer: -64285, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 + j**2 + 1. Let d be c(-1). What is the least common multiple of 21 and (21 - 9)*d\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109998 to the nearest one thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -4. Let h = 99 + -103. Let r = -119.7 - -120. Sort h, v, r.\nAnswer: v, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138785676 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -402177 + -5?\nAnswer: -402183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l + 176. Let m = 82 + l. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-12*(16 + -22)\/18. Let i(p) be the second derivative of -p**5\/20 + 5*p**4\/12 - 3*p**2\/2 + p. Let d be i(3). Solve -l = t*l - d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13542 and 0.04?\nAnswer: 541.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 6*y + 1. Let w be n(-4). Suppose 0 = -3*b - 5*a + 6 + w, 0 = 5*a + 15. Calculate the highest common factor of 110 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21883793.00093 - -21883893. Let k = 100 - f. What is k rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2998790\nAnswer: -1\/2998790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/22 (b) 2\/11 (c) -11 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.7 + -12. Let s = -0.74 + -0.06. Let q = s - g. Round q to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let m(p) = 5*p + 2. What is 6*i(k) + m(k)?\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**3 - 53*c**2 + 25*c + 35 wrt c.\nAnswer: 66*c - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/8 + -11\/24. Let k = -7 + 12. Let v = 146 + -146. What is the closest to v in k, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q = 79 + 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209854 + -114057. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 71. What is the greatest common factor of l and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 4*o + 12. Let r be (0 - 4 - -11) + -1. What is the lowest common multiple of 33 and h(r)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2985859 divided by -2985859\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-51))\/((-37)\/555*-10)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 17 - 1 + 7)*(2*j + 37626 + 183*j**4 - 37626) to the form t + n*j + g*j**2 + o*j**3 + k*j**4 and give k.\nAnswer: 4392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -5) + 12 - (-1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 74?\nAnswer: -5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from oolllllwlwlwollolzt.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253.017 - -261.9. Let u = w + -0.693. Let g = 0.21 + u. Round g to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385 + 1479 = -47*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123299 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - 2*t - 1. Suppose 21*u - 73 = 179. Suppose -3*c = -u, 0*a = a + 4*c - 15. Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242) + -1.\nAnswer: -11*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -411936, -411940, -411944, -411948, -411952?\n\"Answer: -4*l - 411932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6825.723cm?\nAnswer: 0.06825723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4 + 110*c**3 - 230*c**2 - 110*c + 228 = 0.\nAnswer: -57, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21245000 rounded to the nearest one hundred thousand?\nAnswer: -21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(684) + sqrt(684) + sqrt(684) + 1 - -3*sqrt(684)*5) + 2 + 4 + (sqrt(684) + (sqrt(684) + sqrt(684) + 0 - sqrt(684)) - sqrt(684)) + -4)**2 + 5.\nAnswer: 576*sqrt(19) + 175118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) 16.5 (c) -14 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrwr when four letters picked without replacement from {w: 1, r: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1909a (base 13) to base 16.\nAnswer: bd4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:52 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 274, 406, 526, 628, 706?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + x - 151, -5*c = -0*x - 4*x - 173. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1303 + 1302. Let k = 169 - 168. Which is the nearest to -2\/11? (a) o (b) -7 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 5\/6, 0.4, 5, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505290.2 millennia to years.\nAnswer: 505290200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*o - 2*o = -192, -5*o = -u + 60. Let q = -22 + u. Calculate the remainder when 52 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -676*w - 1355. What is z(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-24)*g*(g\/(g**(-3\/11)*g)*g)\/g)**41)**(-16\/5))**(-8\/5) assuming g is positive.\nAnswer: g**(-1254272\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -2, -68, 1\/62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178498 - -178499.79966. Let f = h + -1.8. What is f rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:48 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3045578 centimeters?\nAnswer: 3045.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11043 + -53?\nAnswer: -11140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 28*a + 54. Let t be c(-12). Let r(k) = -k**2 - k + 11. Let w(s) = -s**2 + 10. Let n(d) = 6*r(d) - 7*w(d). What is n(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r**2 - 1 + 0*r + 1\/3*r**3. Let k(f) be the first derivative of -4*f**2 - 461. Give m(k(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 5*k**2 + 13*k + 3. Let c be b(7). Let j be 1\/(7\/(-12)*c\/14). Solve 0*o - j = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8*p = 4*p - 32, b - 2*p = 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331090 is divided by 946?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0 + 1\/2*u**2 + 5*u. Let z(m) = -3*m - 2. Let o(p) = 2*k(p) + z(p). Let r(a) = -a. Determine o(r(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29012751 or -1\/4?\nAnswer: -29012751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 22353.93 nanograms?\nAnswer: 0.00002235393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = 51. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*a - 340 = -6*n, 0 = 3*n + a - 221. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1171767.805587 + -1360.519587. Let p = x - 1170385.086000412. Let k = p + -22.2. What is k rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/10)\/(3\/160). Let o be n*((-260)\/(-8) + 3). Let m = o + 7144. Round m to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*q**3*s**2 + 2*q**3*s - q*s**3 + q*s**2 - 581*s wrt s.\nAnswer: 432*q**3 - 6*q*s + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 2. Let d(o) = -1. Let j(g) = -a(g) + d(g). Let f(v) = -8 + 6*v**2 + 5*v**2 - 6*v**2 + 0*v**2. Calculate -3*f(r) + 8*j(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 22*v - 72. Let m be w(-7). What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2183 + 2188. Let i(h) = -h**2 + 9*h - 29. Give i(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 14*c = -24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, 1.9, -3\/2, -5\/4 in ascending order.\nAnswer: -3\/2, -5\/4, 0, 0.4, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1464.4 - -1439.3. Let b = -51 + 26. Let v = p - b. What is the second smallest value in v, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/360 + l**3\/3 - 2*l**2 - 3*l - 7. Let u(x) be the second derivative of h(x). Let b(q) = 3 - 21*q - 3. Give b(u(k)).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32702490, 32702501, 32702512, 32702523, 32702534?\nAnswer: 32702545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11782619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0176 in -1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 25, 0, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**33\/y)*y*y\/(y\/(y*y**33*y)*y)*y*y)\/(y**2\/(y\/(y\/((y**(-6\/11)\/y)\/y*y*y)))) assuming y is positive.\nAnswer: y**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9247339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/5)*p*p**(2\/3)*p)\/((p\/p**0*p*p)\/p)**(-40) assuming p is positive.\nAnswer: p**(1252\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1 + 2*p**3 + 2*p**2 - 5*p**2 + 2 - 2*p + 5*p**2. Let u = 3 + -2. Let y be i(u). Solve 3*z - 2*g - 9 = g, 4*z - 9 = y*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 5. Let d(j) = -j. Let v(b) = -d(b) + r(b). Let u(m) = -6*m + 9. Calculate -3*u(a) - 5*v(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 4, o: 3, q: 1, l: 7}. What is prob of sequence ld?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, f: 7, d: 1, i: 2}. What is prob of sequence ijjj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/696 and 17\/696?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 - l + 8. Let i be w(6). What is the units digit of i\/5 - 3\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 647453020?\nAnswer: 647453020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Suppose -5*g + 230 = -0*b - 4*b, 230 = 5*g + 4*b. Let p = 59 - g. Let h(v) = -11*v - p*v + 6*v - 12*v. Determine c(h(i)).\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - 119*c + 32. Let a(t) = 12*t**2 - 236*t + 63. Let q(f) = 6*a(f) - 11*x(f). Is 15 a factor of q(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/(8\/(-204)). Let n(u) = 14*u**2 + 38*u - 68. Let g(i) = -5*i**2 - 13*i + 23. Let s(k) = b*g(k) - 6*n(k). What are the prime factors of s(9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 132283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + k - k + 9*k**4 - 30*k**4 - 76*k**4 - 2*k**4 - k**4 + k**4 - k**4 - k + k + (k**3 + 4*k**3 - 3*k**3)*(-k + 3*k - k).\nAnswer: -97*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*s + 3. Does 14 divide -1*3 + s + (83 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109325\/82 or 13529?\nAnswer: 1109325\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/6 - 4)\/(-21 - (-445)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 12*l**2 - 10*l - 62. What is p(-13)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 12) to base 15\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*k - 11073 = -1294 + 2739 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7292?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 16*p + 8. Calculate the remainder when q(17) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 9:32 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.97 + -0.03. Let g = -266\/3 - -88. Let v be (-18)\/(-4) - 1\/2. What is the closest to g in z, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -21, 38, 111, 192, 275, 354?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 - -0.52. Let w = -8 + 4. What is the nearest to k in w, 4\/5, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**6 + 322*c**5 + 3*c**2 - 613?\nAnswer: 1320*c**3 + 19320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - (-50 + 53)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 0 = v. Let c = -1 - v. Suppose -2*p - c = -7*p. Solve 5*k - 2*h - 8 = 0, 2*h + 4 = 4*k - p*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272282194?\nAnswer: 2, 136141097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 7*s - 258. Let i be p(-13). Let m(a) = -15*a**2 + 5*a + 15*a**2 - 7 + a**3 + 6*a**i. Calculate m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 42*z - 80*z + 39*z. Let c(o) = 4*o + 20. Let k be c(-4). Let u(n) = k*n - 17*n + n. Determine m(u(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2700 + 11957.7. What is m rounded to the nearest one hundred?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.13 - -0.13. Let p = 0.1 - 1.1. What is the closest to 0 in w, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = 0, -2*x - 182 = 5*o - o. Let p = 48 + o. Let b(m) = m**2 - 4*m + 1. Determine b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30.91, 0.4, 3, -42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10282*f**2*t**3 + 4*f**2*t - 4*f**2 - 7*f*t + 15*f + 1655*t**4 - 62*t + 2 wrt t?\nAnswer: -61692*f**2*t + 19860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i**3 + 1133*i**2 + 82*i - 109. Determine o(81).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10*(-424)\/(-636))\/((-4)\/(-90))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}