diff --git "a/data/dm_maths/full_data_2/10944_11255.jsonl" "b/data/dm_maths/full_data_2/10944_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10944_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = -3 + 7. Let w(b) = 6 + 4*b**2 - 3*b + n*b**3 - 5*b**3 - 3. Suppose m + 0 - 4 = 0. What is w(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -36, -55, -74, -93, -112?\n\"Answer: -19*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 9)\/(3\/1). What is the hundreds digit of (-1*k)\/(5092\/(-848) + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 2. Let s be d(0). Suppose 4*b + s*v - 188 = 0, -2*v - v - 168 = -4*b. Let l(o) = 22 - o + 23 - b. Let x(g) = 8*g**2. Give l(x(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 5105*n**3 - 340095*n**2 - 1468105*n + 1803100 = 0. What is n?\nAnswer: -5, 1, 76, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244 or 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101110110111000 (base 2) to base 12.\nAnswer: -758a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:11 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (66\/(-12)*-8)\/((-6)\/(-240))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x. Let t = 16 - -1. Suppose -w + 26 = -t. Let j be -38 + w + -8 + 0. Determine g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 7. Let c be g(4). Let w be (-2)\/4*(-81 + c). Let q = w + -31. What is the remainder when 19 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3112*b**3*i - 227*b**3 + 5*b**2 + 3*b*i wrt i.\nAnswer: 3112*b**3 + 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z - z - 6*z + 12*z + 3 - 2 - 5*z.\nAnswer: 23*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57*z - 166*z + 13*z)*(-3 + 1 - 1)*(-6 + 2 + 3) to n*z + o and give n.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - (516\/(-42) + 2\/7). Solve m = b + 5*m + 11, 2*b - 4 = c*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7954*w = -3449*w + 216240 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d*d\/d**(-10)*d*d)\/d)*d)\/d)**(-11\/6)*(d**(-10))**15 assuming d is positive.\nAnswer: d**(-757\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862858.\nAnswer: 2, 103, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20409.69778 rounded to the nearest 100?\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 13*n**2 - 8*n. Let y(w) = -w**3 + 3*w**2 + w + 1. Let t(h) = g(h) + 2*y(h). Give t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 126919380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6524*z - 80 + 25 + 29 + 26.\nAnswer: -6524*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201120 + -2?\nAnswer: 1201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -321, -472, -623, -774, -925?\n\"Answer: -151*f - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o**3 + o**2. Let d be j(1). Suppose -24*f + 1629 = -d*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1775224 times 0.13\nAnswer: -230779.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1758 - 1708. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09115 + -31.73285. Let u = q + 32. What is u rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47*81\/(-7614))\/((-45)\/8)?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100111100001001101001 (base 2) to base 11\nAnswer: 804a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*q - 8*q - 44*q + 25*q + 303*q.\nAnswer: 347*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 181306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**2. Let f(d) = -6275*d. Determine f(y(m)).\nAnswer: 100400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 708\nAnswer: 7788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12925670803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*k**5 + k**2 + 123 wrt k.\nAnswer: 9300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/50, -1, -77, -0.3, 0.5 in ascending order.\nAnswer: -77, -1, -0.3, 3\/50, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(833) + sqrt(833) + -3 - (-5*-3*sqrt(187))\/sqrt(11)).\nAnswer: 3*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, -2, -4 in increasing order.\nAnswer: -4, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 107*p - 21171. Calculate d(199).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (133\/(-21) + 6)*-6. Solve 0*a + 3\/2*a**5 + 0 - 3*a**4 - 3\/2*a**3 + 3*a**q = 0 for a.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1072.704 + 1091. Let r = z - -0.904. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + -1 + -2 + sqrt(208))*-5*-1 + 4)**2.\nAnswer: 15360*sqrt(13) + 191296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 - 16 = 0, -5*m - 3*c + 74 = 0. Let r(h) = 2*h**2 - 27*h + 16. Calculate r(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 - 8*m - 8. Let p be y(-7). Let j = 6950 - 6949. What is the third smallest value in p, j, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 60\/7 (b) -2\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921 + 1851 - 117*i**2 - 51*i**2 - 930.\nAnswer: -168*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35899, -35898, -35897, -35896, -35895, -35894?\n\"Answer: w - 35900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)*-1 - -2. Let l(f) = -f**2 - f + 4. Calculate the smallest common multiple of 10 and l(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.5 (c) 0.3 (d) -1.113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5940*h. Let b(n) = 7*n**2 - 27*n + 4. Determine b(x(o)).\nAnswer: 246985200*o**2 - 160380*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1 - 1) + (50 - -11))\/1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/227392?\nAnswer: -7\/227392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 10 - (-1 - (-15 - 17) - (1 - 12)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8293120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/15 and ((-462)\/(-140))\/(3330\/(-550)).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1068)\/(-16) + -3)*((-9)\/(-7) + 765\/16065)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by ((-18)\/(-3) - 3)*7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.15 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:35 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -617 and 0.1.\nAnswer: -61.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -128*t - 511. Let z be d(-4). Suppose -4*n + n = -9. Let f = -1 + n. Solve m = b + f - z, 3 = -3*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055146739 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -234, -621, -1334, -2481, -4170?\nAnswer: -6509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/9)\/i*i)**(-4\/11)*i**(1\/6)\/(i*((i*i**(-2\/3))\/i)\/i))\/((i*i**(1\/4)*i)\/((i\/(i\/(i**(-3\/5)*i)))\/i))**(-2\/7) assuming i is positive.\nAnswer: i**(5429\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4902.5288 - 179\nAnswer: -5081.5288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*u + 3*p, -p + 24 = -4*u - 2*p. Let g = 18 - 19. Let y = u - g. Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 1, l: 1, e: 5}. Give prob of sequence le.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 3. Let y be b(3). Let h(t) = 3*t - 16. Let f be h(7). Put y, f, -2 in ascending order.\nAnswer: -2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22941*j**2 + 11469*j**2 + 11475*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 - 1 = 2*o, 3*p = 6. Solve 1 = -2*q + 4*i + 23, -5*q + 5*i + 30 = o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*c + 8 - 22, 4*g - 8 = -4*c. Let n(o) be the second derivative of o**3\/2 + 3*o**2\/2 + o. Let k be n(c). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15)*-1)\/((-168)\/(-60)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(21) + 2*sqrt(63)\/sqrt(3)))\/((1*sqrt(12) + sqrt(12))*4).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o. Let w(k) = k**3 + 7*k**2 + 6*k + 2. Let r be w(-6). Let q(p) be the second derivative of -1\/3*p**3 + p + 0*p**r + 0. Calculate a(q(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + 1) - (66 + -60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m**2 + 4*m**2 + 2*m**3 - 8*m**2 - m**3 + 13 + 5*m. Let x be c(-9). List the prime factors of (-3)\/(-7) - (-77)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:43 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*k. Suppose k*s + s - 99 = 0. Calculate the lowest common multiple of s and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 4*v + 4. Let t(z) = 2*z**2 + 3*z + 3. Let a(m) = -3*c(m) + 4*t(m). Let n(h) = -1 + 3*h - 6*h + 2*h. Calculate n(a(u)).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 2:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25.4858 years?\nAnswer: 305.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9449302*h**2 + 2*h**3 - 9449302*h**2 + 37.\nAnswer: 2*h**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, n: 1, q: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(16\/18)*12. Let o be a\/6*(1 - -1). Solve 3*j + 3*h - 9 = 6*j, -5*h = -3*j - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 - 1202799*v = 0 for v.\nAnswer: 0, 400933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 9*p - 17. Let o be d(-7). Let m be (-31)\/117 + o + (-369)\/(-117). Let t be 3\/(-9) - (-2)\/(-48). Sort -1\/2, -4\/5, m, t.\nAnswer: -4\/5, -1\/2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.28381 millilitres to litres.\nAnswer: 0.04228381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(32\/7)*s**(11\/3)*s)**(-1\/14))**36 assuming s is positive.\nAnswer: s**(-1290\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49443 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (3 + -5 - 5) - (-4 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rukhuryuryu. What is prob of picking 1 k, 1 u, and 1 y?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*d - 4159 = 0, -5*t + 5*d - 11478 = 9362. Let w = 3682 - t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (1 - -2) + 12 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.29 + 16.7. Let l = -3.587 + g. What is l rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + p - 2 = -1, n = 2*p - 2. Suppose n*z - 2 = -z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 31 + 48 + 15*c)*(-6 + 1 - 1).\nAnswer: -90*c - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6*3\/2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -5, -1\/8, 1\/3, 3467 in descending order.\nAnswer: 3467, 1\/3, -1\/8, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -54a (base 14) in base 6?\nAnswer: -4502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 176. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 537*k**2 + 180*k + 179. What are the prime factors of o(-1)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkrrkrr. What is prob of sequence kr?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/(-3)*(95\/(-19))\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -209 (b) -677\/5 (c) 2 (d) -2\/703\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 161441.1 months?\nAnswer: 1345.3425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 292 = 294. Let t(g) = 27 - 19 + g**p + 3*g + 4*g**2 - 10*g**2 + 4*g**2. Suppose 3*k - 5 = 2*l + 13, -l = -5*k + 30. Calculate t(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1077 = 3*a - 228, 0 = 5*s + 2*a - 2172. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.2 + -3.8. Let j(z) = -20*z - 8. Let a be j(-1). Let w be ((-15)\/a - -1)\/1. Is w bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 26*c**2 + 161*c + 103. Determine q(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55654, 55320, 54986, 54652, 54318, 53984?\nAnswer: 53650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscscccc. Give prob of sequence ss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(70\/21))\/((-10)\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*c + 3*c - 2*c**2 - 1 + 2*c)*(-2*c - 2 + 2) as v*c**3 + y*c + s*c**2 + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -82896*j + 1099. Let p(n) = -453*n + 6. Give -1099*p(c) + 6*y(c).\nAnswer: 471*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581, 1168, 1753, 2336, 2917, 3496?\nAnswer: 4073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 - -165. Suppose 0 = -2*h + 4 + 14. What is the least common multiple of h and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-13)\/u*u)\/((u\/(u**13\/u*u))\/u))\/(u**(2\/55)*u**(-1\/4)) assuming u is positive.\nAnswer: u**(47\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -5, -2, 106 in descending order.\nAnswer: 106, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2592 and 31\/1080?\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwwqswbrqfqbwsbwwqs. What is prob of picking 3 q and 1 r?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Suppose -n*u + 12 = -0*u. Differentiate -4 + 2 + 9*o**2 - 9*o**2 - 4*o**u with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 12 - -16) + -14 + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from hjjjjjjjjhjjjjhhhj?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u - 5*i - 20, -i - 4 = 0. Suppose u = 4*a - 2*v - 3*v - 42, 4 = -2*v. Calculate the smallest common multiple of a and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 + 19)*(-2 + 1 + 2 + 1 + 5 - 5 + 2 - 1 + 0 + (3 - 2 - 2)*(-3 + 1 + 4) - 4 + 7 - 1)*(-5*n + 2*n + n) to the form d*n + z and give d.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -23*n**2 - 12*n + 1. Let j(i) = 24*i**2 + 10*i. Give 7*j(s) + 6*r(s).\nAnswer: 30*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-5\/3))\/m**1*m*m**(2\/17)*m*m\/(m*m**(-2\/5)))\/((m*(m\/(m**1\/m))\/m)**(-16\/9)\/(m**(-2)\/(m*(m**(-1\/2)*m*m*m)\/m*m*m*m))) assuming m is positive.\nAnswer: m**(-2353\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1908338528 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31151?\nAnswer: 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 51*u + 5252\/3.\nAnswer: (u - 101)*(u - 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -33445.\nAnswer: -4\/33445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d - 7. Determine k(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1590, -2689, -4522, -7089, -10390, -14425?\n\"Answer: -367*d**2 + 2*d - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 44421 divided by 3\nAnswer: 14807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -2. Suppose 0 = 2*c - t - 10, 2*c + 5*t - f*t = 26. Let b(s) = 5*s - 1. Calculate the least common multiple of c and b(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - -40. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48820 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 + 0)\/(-2*1). Let i(g) = 5 + 3 + 0*g**2 - 1 + 9*g**2. Let u(n) = 8*n**2 + 6. Determine t*u(r) - 6*i(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m**4 - 2*m + (-m**3 - 3*m**3 + 6*m**3)*(9 + 19*m - 7 - 1).\nAnswer: 40*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 19*q - 821. Solve q*g - 8 = 36*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*o**4 - 2 + 39*o**3 + 16*o - 44*o**2 - 22*o**3 + 31*o**3 = 0. What is o?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -677*b**4 - 5192 + 2271*b**4 + 2158*b**4 + 1466*b**4 - 169 wrt b?\nAnswer: 20872*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*w**3*z**3 - 785*d**3*w**2*z**3 - 19*d**3*w**2*z + 4*d**3*z**2 + 2*d**2*w**3 - d**2*z**2 + w**3 wrt z.\nAnswer: 12*d**3*w**3 - 4710*d**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 2, i: 2, z: 1, u: 10}. Give prob of sequence voo.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69763 from 0.3149161.\nAnswer: 69763.3149161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 2, u: 5, a: 4}. What is prob of picking 2 a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:15 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((6 - 6) + 2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 276, 290, 330, 408, 536, 726, 990, 1340?\n\"Answer: 2*f**3 + f**2 - 3*f + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3417*d**2 + 672*d**2 + 692*d**2 + 653*d**2 + 678*d**2 + 656*d**2.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 21 (b) 2 (c) 0 (d) 0.09438 (e) 0.4 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 - 6*f + 3. Let d(q) = -4*q**3 - 5*q + 2. Let a(k) = k - 3. Let x be a(6). Give x*d(t) - 2*y(t).\nAnswer: -2*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5559853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 8. Let b be v(-2). Solve 1 = -2*c - 1, b = -5*u + 5*c + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 73*h + 205 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + m**2 - 2*m. Let z be h(-2). Let v = z + 17. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549570.83 minutes in weeks?\nAnswer: 451.3463125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -216 equal to -218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39\/10 in 2\/5, -4\/7, 1\/34?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 1106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13828766 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 268.5 - 246. Let s = 48.7 + h. Round s to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 32 = 17*d. Solve 0 = 7*p - d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*y - 2*y - 2*y)*(-2 + 5 - 2) - 3*y + y + 0*y)*(-2*y + 3*y + 0*y) - 19*y**2 + 35*y**2 + 33*y**2 to the form c*y + k + t*y**2 and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5626 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -0*q - 14*q. Suppose -2*u + 53 = p - 4, -5*u + 148 = -q*p. What is the remainder when u is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1316 + 1411 - (-11 + -7)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-2))\/((-93)\/(-465)) + 123?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476 and 154168?\nAnswer: 2620856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d. Let w(x) = 3*x**2 - 44*x + 50. Calculate the remainder when w(17) is divided by 1 + (3*14 - d).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7644458.\nAnswer: 2, 17, 29, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 5*k**2 + 14*k**2)*(-24 - 59 - 136) in the form n + w*k + u*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1356 from 95402.891489.\nAnswer: 94046.891489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/7 - 3652*c\/7 + 434688\/7 = 0. What is c?\nAnswer: 128, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6145446 and 18.\nAnswer: 18436338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-45)*(-10)\/(-4). Find the second derivative of -5*u**g + 7*u - 9*u - u**3 wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13761 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/3, 1\/2, -1.2 in ascending order.\nAnswer: -1.2, 1\/2, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -833, -1611, -2905, -4715, -7041, -9883, -13241?\n\"Answer: -258*f**2 - 4*f - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 - 208. Put 66, 1, p in descending order.\nAnswer: 66, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 3)*(136*o**2 - 268*o**2 + 145*o**2).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + -1 + sqrt(19) + -1*sqrt(76)\/sqrt(4) + 1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 4676 = -17*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82\/123 + (-2542)\/(-3). Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6*s + 6*s - 81*s**3 + 7*s**3.\nAnswer: -74*s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3942803.\nAnswer: 73, 54011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 0 - 3*k)*(-13*k + k + 0*k) + (3 - k - 3)*(-2 + 2 + k) - k**2 - 3*k**2 + 3*k**2.\nAnswer: 34*k**2 - 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 37. Suppose -2 = -2*a, -4*x + 4*a = 8*a - 40. Let s(g) = 2*g + 19. What is x*s(t) - 4*r(t)?\nAnswer: 2*t + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6300677 - m**3 - 6300677.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Sort 0.15, 0.4, l in increasing order.\nAnswer: l, 0.15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*o - 3*o - 17, -2*o + 3*t + 13 = 0. Suppose -187 - 11 = o*c. Does 3 divide c\/(-21) + (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 12*z**2 - 11*z + 239. Let r be i(-14). What is the smallest value in 0.1, 32, r, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8379*g + 265*g**3 + 8379*g + (g**2 + g**2 - g**2)*(5*g + 0*g + 5*g) + 3 - g**3 - 3 to the form p*g**2 + i*g**3 + f*g + x and give i.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + 28. What is the remainder when a is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**4 + 5*y**3 + y - 5. Let c(g) = 1 - 672*g**4 + 0*g + g - g**3 + 671*g**4. Let x(t) = 5*c(t) + q(t). Find the second derivative of x(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 - -124420?\nAnswer: 124123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 445 + -4?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 6. Suppose 0*c = 3*c + 18. Let w(h) = -5 + 1349*h - 2689*h + 1337*h. Let d(u) = c*w(u) - 5*v(u). Let b(x) = 2*x**2 - 6. Determine d(b(g)).\nAnswer: -4*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(1\/(-3))\/((-50)\/(-100))*6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:46 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -5*f + 3*s, 34*s - 33*s = -5*f + 289. Calculate the remainder when 13493 is divided by f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - 50.9. Let l = -48 - q. Let t = -3.2 + 2.8. Which is the nearest to -3? (a) -1 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/l**(1\/13)*l*l*l)\/(l\/l**(-11\/3)))**(4\/3) assuming l is positive.\nAnswer: l**(352\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -21 + 21 + u**2. Let b be v(2). Let q = 39 - 19. Calculate the greatest common factor of q and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(288)*1*-6 - (sqrt(288) + 0)*-2*-6)**2.\nAnswer: 508032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - 0.39. Let j = -0.3 + 0.4. Let r = 251\/712 + 2\/89. Which is the closest to j? (a) 5 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3141570 (base 9) to base 5.\nAnswer: -412241223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5697359 to the power of 1\/2, to the nearest integer?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -46*w - 5*w + 16*w - 2 + 4 - 11*w. Let z(v) = 3*v**2. Give z(k(d)).\nAnswer: 6348*d**2 - 552*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:55 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11715*i**3 - 15813*i**3 + 3866*i**3.\nAnswer: -23662*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445 + -188. Let j = k - 137. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549\/36*(0 + 4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5432 = -5*t, 5*c - 3*t - 3744 = 3046. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*2)\/sqrt(9))\/(sqrt(8) + sqrt(1152)*-3) - 3*(-1 + (sqrt(80))**2 + ((sqrt(5) + (sqrt(5) - -5*sqrt(20)))**2 - sqrt(5))).\nAnswer: -2397 + 103*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278106695 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + b + 31, -2*b - 5 = 1. Solve -3*g - 5*p - y = 0, -4*g + 5*p = 2 + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/((-7326)\/27)*(-2)\/(-3)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*u - 26 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12725692 to the nearest integer?\nAnswer: 3567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*k**3 + 157*k**3 - 7 + 15 - 8.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2. Let p(o) be the third derivative of -o**8\/1440 + 11*o**5\/6 + 32*o**2 + 2. Let x(j) be the third derivative of p(j). Give q(x(a)).\nAnswer: -980*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 42 = 2*x. Let w = 12 + -3. Suppose 7*l - w = 4*l. What is the greatest common factor of l and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 796.856 nanometers?\nAnswer: 0.000000796856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 2*c - 3. Suppose 0 = -3*t - 3*s - s - 3, -t + 3*s - 14 = 0. Is b(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -124 + 127. Let f = 11 - 7. Suppose -3*a = 2*t - 4, -a = f*a. Sort k, 5, t in descending order.\nAnswer: 5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a - 86. What is the remainder when 512\/144 - 4 - 3050\/(-18) is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150000 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000318139 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 173*d**2 - 58*d + 373. Is r(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - g. Let q be f(-1). Let l = q + 6. Suppose -l*y = -18145045 - 19354955. Round y to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.17 - 9618.\nAnswer: -9608.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -260, -706, -1522, -2894, -5008, -8050, -12206, -17662?\n\"Answer: -31*m**3 + m**2 - 232*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6804 divided by 54\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n*(n**4*n*n)\/n)**(-1\/4) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 13)*(2 - 2 + 2*s) + 3 + 2*s - 3.\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 2835 + 3*t - 2835.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10455114 - 10455114 + 11*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 6*d - 3. Let l be k(6). Let s = l - -7. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 111*l + 428. Determine t(37).\nAnswer: 1797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*o - 30, -o + 35 = 3*o - 5*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*c**5 - 16452*c**4 + 9528*c**3 + 22986*c**2 - 9723*c - 6534 = 0 for c.\nAnswer: -1, -2\/5, 1, 1089\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*y - 13, -5*y = 2*f - 2*y - 14. Let t(r) = r + 6. Let k(p) = -10*p - 65. Let u(d) = -6*k(d) - 65*t(d). What is u(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2 + 13818*a + 52190?\nAnswer: -4*a + 13818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*g - 2596 = -7282, 4*z + 5*g - 4706 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let r be (-5)\/(-3)*(g - -6). Let a = r + -8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let i be h\/14 - 90\/70. What is the lowest common multiple of 14 and 1\/(1\/i)*-7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdvddgddvddgv. Give prob of sequence dvdg.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19632?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3330*f + 165575 = 204*f + 512561 for f.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*h*i**2*j**2 + 4*h*i*j**2 + 1827*h*j**3 + 9*i**3*j**3 + 2*i**3*j**2 + i**2 + 12*i wrt j?\nAnswer: 10962*h + 54*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4239 + -56c?\nAnswer: 399a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207888271?\nAnswer: 207888271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1170 - -1197. Calculate the highest common divisor of 33 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from qinas?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3*f**2 + 1. Let n(r) = 13*r**2. Determine i(n(u)).\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -4060\/3 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*q - 216. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*w**5 - 16*w**2 - 16*w**5 + 9*w**5 wrt w.\nAnswer: -1440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1014 and 676?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 31.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)\/(b*(b\/(b*b**(-3)))\/b))\/(b**(-3\/5)\/(b**(-8)\/b)) assuming b is positive.\nAnswer: b**(-518\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 4*h**2 + 9. Let w be p(4). Let t be 21\/w + 4\/(-3). Solve -b = -o - t + 6, -4*o + 20 = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c - 17. Let f be p(-13). Let g = f + -131. What is the remainder when g is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:44 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 39 = 23. Solve -2*n = -s*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 3731*q + 7445*q - 3724*q - 1 as i + l*q and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 1179026*k\/9.\nAnswer: -2*k*(k - 589513)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 8 - 44*s**3 + 42*s**3 + (2*s**3 + s**3 - 2*s**3)*(9 - 1 + 5).\nAnswer: 11*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 3. Suppose 3*n = -5*z + 28, -2*z + 4 = -3*n + 39. Does 29 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 1. Let g(o) = 4*o**2 - 6*o - 6. Let a(f) = -6*f**2 + 8*f + 9. Let b(q) = 5*a(q) + 8*g(q). Give -b(u) + 3*p(u).\nAnswer: u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 82\/(-24))*-4. Sort 0.09, -0.6, t.\nAnswer: t, -0.6, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.99 - -0.01. Let v = -1.6 + 1. Let q = -1 - v. Which is the nearest to 0? (a) g (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 13*q**2 - 2. Let w be d(13). Is (-68)\/(-10)*(-10)\/w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/4)*k))**(-3\/17))**(-10\/9)\/((k**0)**(-1\/13)\/((k*k**(4\/9))\/k**(-7))) assuming k is positive.\nAnswer: k**(2569\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 37567 - 37565 = 0, 28*n + 168 = -16*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*q + 5, -3*g + 3*q + 3 = -0. Factor 19*n**g - 25*n**2 - n - 3 - 8*n.\nAnswer: -3*(n + 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313171*p**6 + 87*p**2 - 2*p - 240 wrt p.\nAnswer: 37580520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd + -2?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111110111100 - -1000011?\nAnswer: -1011111101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, x: 5, l: 4}. What is prob of sequence lexx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 357*z**5 + 2631661*z**4\/4 - 12032785*z**3\/2 + 2167895*z**2\/4 + 976921*z\/2 - 8334 = 0.\nAnswer: -1852, -1\/4, 2\/119, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24477, -24407, -24337, -24267, -24197?\nAnswer: -24127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21094.\nAnswer: 2, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 2 + 8*f - f**2 - f. Let w be 1 + 2\/(-1) + 3. Let y(l) = l - l + 3*l - w*l. Give -n(x) + y(x).\nAnswer: x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 847, 844, 839, 832, 823?\n\"Answer: -h**2 + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 2}. Give prob of picking 1 i and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i**2 + 0*i)*(-7968 + 6447 - 32632 - 35873 + 9115 - 23827).\nAnswer: -169476*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1330 + -1314. Let g(v) = 2*v + 7. Let p be g(-5). Let a = 3 - p. Calculate the remainder when k is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 601857748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 5\/24*u**6 - 1\/2*u**5 - 5\/8*u**2 + 5\/6*u**3 + 0*u + 219 + 0*u**4. Factor m(i).\nAnswer: 5*i*(i - 1)**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = 3*y, -5*o + y = -15 - 12. Suppose -o*z = -25, 3*p + 2*z - 13 = 2*p. Suppose -3*w + 79 = 64. Solve p*i - w = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 1, s: 2, x: 2, e: 1, b: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-23)*g)\/g)**(4\/15)*(g**(-4\/3))**43 assuming g is positive.\nAnswer: g**(-952\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/5))**(3\/10))**(-23)*t**(1\/2)*t**(2\/15)*t**1*t*t*t*t\/(t**(-8)\/t)*t*t assuming t is positive.\nAnswer: t**(1253\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*u + 3*l, 0*l = u - 3*l + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4629807 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) - (-69)\/12. Suppose 5*f + 2*v - 59 = 0, 5*f + l*v - 32 = 33. What is the units digit of (2 + 0\/1)*f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 304*q + 300.\nAnswer: 4*(q + 1)*(q + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:02 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = -3*w - 1527, 2*w + 2278 = 3*h. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1) + (-2336)\/768*-2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35381192835759 and -1?\nAnswer: 35381192835760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1104)\/(-64)*600\/225.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g*g\/g**(1\/3))*g**(-1\/3))\/(g**(-1\/4)*g\/(g*g\/g**6)) assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 6819*g**5\/20 - 5*g**4\/4 + 2*g**3\/3 + 1710*g. Find the third derivative of s(m) wrt m.\nAnswer: 40914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -27514*o + 8914525. Determine q(324).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 - 4.7. Let l = -1.1 - o. Which is the second biggest value? (a) 30 (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -59. Suppose 17 - 80 = 3*j. Calculate the least common multiple of x and 0 + -4 + j\/(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3958 and 216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4, 8 = v - 2*k - 0. Suppose -2*o - 3*w = o - v, 4*o + 2*w - 12 = 0. Let q**4 - q**o + q**4 - q**5 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -472045.9?\nAnswer: 75527.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/((-35)\/5)*(-5)\/(75\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/sqrt(180))**2 + sqrt(17) - (1*sqrt(102)\/sqrt(6))**2) + 0.\nAnswer: -595\/36 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*(a\/(a\/(a\/((a\/(a\/(a\/(a*a*a*((a**0\/a)\/a*a)\/a))*a))\/a))))\/a)**(-25)*(a\/a**(-2\/15))\/(a**(-2\/7)\/a)*a\/a**8*(a**(-3)*a*a)\/a assuming a is positive.\nAnswer: a**(-29566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 21*v + 10. Let w(z) = 2. What is -l(y) + 6*w(y)?\nAnswer: -21*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -50d6?\nAnswer: -50d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -327*a**3*g*j**2 + 39*a**3*g*j - 4*a**3*j**2 - 2*a**2*g*j + 251*a**2*g + a*j - 21*g*j**2 + g*j wrt j?\nAnswer: -654*a**3*g - 8*a**3 - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -905, -907, -911, -917?\n\"Answer: -x**2 + x - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45530729 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*-2*sqrt(363) - (sqrt(363) - (1 + sqrt(363)*3))) + 1))**2.\nAnswer: 1056*sqrt(3) + 52288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aya when three letters picked without replacement from {y: 7, a: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((3 - -1) + -10). Let n be (z\/(0 - 2))\/((-4)\/76). Suppose -5*y - 17 = 8, 4*t + 3*y - 61 = 0. Are n and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Let n = 627\/5185 + -1\/305. Let v be 2\/8*1\/(-2). What is the closest to 0.1 in n, c, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -14. Let m be (0 - -2) + (2 - -1). Let a = m - 2. Solve 0 = -t*x + a*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4)*-2)\/((-123)\/(-82)). Which is smaller: 171 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-378)\/(-91) - 2\/13. Suppose 0 = -0*p + u*p + 12. Is (-137)\/2*(-7 + p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5384 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 92*l + 2042. Give n(21).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4 = r, -10*r + 9*r = 3*f - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -31 + -2 + 64?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(1 - 3\/4). Let g(k) = -k - 1. Let d be g(1). Let x be d\/10 - 76\/20. Put 3, x, h in descending order.\nAnswer: 3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -42662?\nAnswer: 141\/42662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 - -0.31. Put -2, 0, 3, o in decreasing order.\nAnswer: 3, 0, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23322907 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7834+-0.25\nAnswer: 7833.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -3422?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/3*s**2 - 2\/9*s**5 - 16\/9*s**4 - 2*s - 44\/9*s**3.\nAnswer: -2*s*(s + 1)**2*(s + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*h + 6 = 0, -11 = -3*o - 4*h + 1. Suppose -2*f + 4 = o, 5 + 16 = 5*l + 3*f. Suppose -4*p = u + 15, -p - l = -u + 7. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1471198nm?\nAnswer: 0.0000000000001471198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5057 - 585233851.\nAnswer: -585238908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 29*o**3 - 1. Let y(f) = 24*f + 1 + 38*f - 38*f + f**2 - 3*f**2. Let d be y(12). Determine p(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4662 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32293.89g in tonnes?\nAnswer: 0.03229389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-11) - (9 + (-17801)\/(-77)). Let i = 305 + z. Calculate the greatest common factor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anna when four letters picked without replacement from {a: 4, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mmoxqhy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-15)\/8) - (8 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930 and 2015.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j. Suppose c + b = -28 + 19, 5*c - 4*b = -9. Sort -0.3, c, 0.5, j.\nAnswer: c, -0.3, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38166870.\nAnswer: 2, 3, 5, 7, 17, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*v + 5, x - 8 = -x + 4*v. Suppose 0 = -3*u + 5*a + 3 + 7, a = u - x. Suppose -4*b + 5 = 3*m - 4, 12 = 3*m + 5*b. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51055a1 (base 11) to base 4.\nAnswer: 202123222303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -162.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88051990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 25 - s - 25. Let j(f) = 4*f**2 + 3*f. Let g(i) = 9*i**2 + 5*i. Let a(n) = 3*g(n) - 5*j(n). Give y(a(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 4?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(931) + -1) - (2 + sqrt(931)*2 + sqrt(931)) - ((sqrt(931) + -2*sqrt(931) + -1 - sqrt(931)) + 1 + sqrt(931) + -2))*-3)**2.\nAnswer: -1890*sqrt(19) + 209556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/7)\/(j*j\/(j*j**(-4))*j)*j\/j**(-1\/7)*j**7*j*j assuming j is positive.\nAnswer: j**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -8*u - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -62, 2054781 in descending order.\nAnswer: 2054781, 2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.19 + 16.19. What is the fourth smallest value in 0.147, -4, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5352 + -0.544818. Round c to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/45 - o**4\/9 - 8*o**3\/27 - 3*o + 5. Factor i(t).\nAnswer: 4*t*(t - 4)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 7 - (-11 - (1 - 5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*i - 113 = -109, -11*x - 2*i = -13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f + 6670*f - 1 + 0 + 1.\nAnswer: 6647*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/20 - 11*h**4\/12 - h**3\/3 + 3*h**2\/2 + 3*h. Let k be n(-11). What is the highest common factor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 4*t**2 + 3*t - 1. Let j be y(2). Suppose -v = -j*v - 48. Let u = 17 + v. Solve -4*a - 2*l = -9*a + 5, -2*a - u*l = -31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 a when three letters picked without replacement from {i: 9, l: 2, b: 6, a: 1, g: 1}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 18 (c) -2\/27 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -2*l**3\/3 + 7*l**2\/2 - 4*l + 2. Suppose 2*n - 7*n + 25 = 0. Suppose -2*f + 8 = 3*p, n*f = -4*p - 4 + 24. Give a(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1101 - 646. Suppose w = 4*u + u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 77. Solve -j + d = j + 6, 0 = 3*j + 4*d - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5605114.2 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 130?\nAnswer: 22880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 1. Let f = 2 + a. Let o(m) = -m**2 + 46*m - 5. Let j(y) = -3*y**2 + 129*y - 15. Let p(z) = -6*j(z) + 17*o(z). What is p(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 1\/2, 4 in descending order.\nAnswer: 4, 1\/2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 41 + 9 = 6*y, -q - 1 - 5 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkczpzzdzpzcyzd. What is prob of sequence cy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-19.835\nAnswer: 13.8845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*y**2 + 741*c**3 - 2*c**2*y**2 - 120*c**2*y - 4*c*y**2 + 17541*y**2 + y wrt y.\nAnswer: -2*c**3 - 4*c**2 - 8*c + 35082","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36\/(-24)*(-7566)\/9 + -3 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 2\/9 (c) -0.04 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3845697, -2\/7, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t + 3*t**4 + 10*t**2 + 137 + 17280*t**3 - 16871*t**3 + 2*t - 8*t + 5*t**4 wrt t.\nAnswer: 192*t + 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12024 and -23\/16.\nAnswer: 24048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -18*d**5 + 472*d**4 - 2538*d**3 - 4212*d**2 + 33480*d + 27216 = 0.\nAnswer: -3, -7\/9, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 358 + 365 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-5*q**4 - 7365*q**2 + 106*q**3 - 7360*q**2 + 14724*q**2 + 2*q) in the form f*q**2 + y*q + v*q**4 + g + s*q**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-4)\/(-11)))\/(82\/41).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 87.15 and 0.44.\nAnswer: 87.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148651*d + 148630*d + 189 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/2 + 201\/10. Let r = -6\/11 + 29\/33. Which is the nearest to i? (a) 5 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 29*t - 37*t. Sort 0.1, -7, t, -0.6 in ascending order.\nAnswer: -7, -0.6, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 + -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*z + 34084 - 20266 for z.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022121101 (base 4) to base 12.\nAnswer: -234069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10*d + 22*d + 38090 = 0, -2*d - 94913 = -5*x. What are the prime factors of x?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1 - -68187?\nAnswer: 680b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {z: 6, m: 7, t: 1, v: 2, k: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167714 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/881636 and -1\/13616.\nAnswer: 3526544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 15 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.03, 2\/9, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05864596 to 3 decimal places.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 = -428*y + 375*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/20)\/((((-476)\/(-255))\/(-14))\/(40\/12)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 25. Let c be w(4). Let d(h) = 7*h**3 + h - 2. Suppose -40 = 2*i - 6*i. What is the remainder when i is divided by d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.2, 8\/43, 1\/4 in ascending order.\nAnswer: -0.2, 1\/7, 8\/43, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 28913746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*a - 198 = 127*a - 255*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c - 50. Let w be g(11). Suppose 2*d - 296 = -0*d. Suppose f + w - d = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2705726632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/10 - 11*g\/10 - 3.\nAnswer: -(g + 5)*(g + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*b - 277*b - 166*b - 2078*b - 726*b.\nAnswer: -2998*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1645 - 907. Suppose y*m - 743*m + 75 = 0. What is the highest common factor of m and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 63. Let t be x(-21). Suppose -a - a - 10 = t, 4*a = 2*q - 26. Solve -5*l + 4*l = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112387, -112355, -112301, -112225?\nAnswer: -112127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23896295 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 3*s)*(-11 + 1 - 8).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13129 + -13126. Solve -43*p + 40*p = -v + u, 4*v = 4*p + 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12215471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 + 4*a + 3. Let p be t(-3). Let u = p + 43. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 10 + 9)*(5*p - 5*p - 2*p**2).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and -0.0321 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - -27. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1188*l - 1181*l - 4662 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6895373, -6895381, -6895389, -6895397?\nAnswer: -6895405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1261 - -0.0261. Put 4, b, 28, 2\/15, 5 in decreasing order.\nAnswer: 28, 5, 4, 2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/19)*r)\/r)\/r*r)\/r*r*r**(-18) assuming r is positive.\nAnswer: r**(-343\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8804601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-4*j + 2*j + j + (-3*j + j + j)*(1 + 1 + 0))*(1 + 0 - 2)*(4*j + 7 - 7)*(-4 - 1 + 2).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**3 - 30 + 32 + 7 to the form o + n*b + p*b**3 + u*b**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7809 and 712263?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Let m(u) = -2. Let y(f) be the second derivative of f**3\/6 - 9*f**2\/2 + 12*f. Let g(q) = -9*m(q) + 2*y(q). Calculate a(g(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 43. Let h(p) = 3*p - 21. Let y(d) = 7*h(d) - 4*o(d). Let j be y(-8). Let v = j + 19. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54004338 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -0.44. What is the fourth biggest value in 1, -0.01, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 89*j**2 - 4300*j - 12181. Calculate i(51).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130.73 + -130.6. Let o = 4.1 - 4. Which is the nearest to 1? (a) o (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*j - 4*y - 6994, -5*j + 5*y = -11640. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 5092\/4457?\nAnswer: 5092\/4457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d - 36*d = 12. Let j(i) = i**2 - 7*i + 4. Let k be j(5). Let u = k - -8. Solve 5*a = -u*h - 23, h - d*a = a + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/198147 and -37\/160368?\nAnswer: 41214576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1397*h - 37280 + 37280)*(3*h - 2*h**2 - 3*h).\nAnswer: -2794*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from jxels.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2, 0.13, -0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 + 107. What is the highest common divisor of y and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217.64 - -217.615951. Round g to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -20. Suppose -l + 30 + 11 = 0. Suppose -l + 31 = -c*v. Solve -y + v = -2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 + 458*g**3 + 139536*g**2 + 14045400*g - 28652616.\nAnswer: (g - 2)*(g + 306)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + -319?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*x = 3*x + 1, 3*x - 13 = 5*o. Which is the smallest value? (a) o (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 + 163972*h\/19 + 44748352\/19.\nAnswer: -2*(h - 82258)*(h + 272)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1314 divided by 3\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34799554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/12*1280\/(-4160))\/11\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 5:36 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -1\/30*n**5 + 0*n**4 + 0*n + 0 + 6*n**2 + 0*n**3. Let r(a) = 7*a. What is m(r(f))?\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136 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: Let o(c) = c**3 + 7*c**2 - 7*c + 10. Let a(w) = w**2 + 5*w + 11. Let r be a(-8). Suppose 2*i + 3*i = -r. List the prime factors of o(i).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299.25 - 301. Let f = s - -5.75. Let t be 1 + 0 + 10\/(-14). What is the third smallest value in -1\/6, f, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6894 + -2.689371586. What is w rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 0, 5*s + 4*x - 37 = -12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 + 495\/15 - 1. Solve 36 = -n*b + 21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (-18 - (-46 - -20)) + 7 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 113 = 5*d, 2*t + 12*d - 120 = -7*d for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s - s)*(14 - 16 - 15 + 13).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184888142 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*(i*(i*i*i\/(i*((i*i\/i**(-3))\/i*i)\/i))\/i)\/i*i**(1\/13)*i**3 assuming i is positive.\nAnswer: i**(66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a - 3. Let h be y(-2). Let p = h + 1. Let t be (-6)\/p - 5\/(-10). Is -1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*j - 108 + 42. Find the third derivative of -2*m**2 - j*m**2 + 2*m**2 - 14*m**3 - 5*m**2 wrt m.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -15*l**2 + 20*l = 0.\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 17 - 9 - 5*j + 0*j.\nAnswer: -j - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgggguggufuggdgig. What is prob of sequence fi?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:40 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 17 = f, -4*z = 466*f - 469*f + 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000053865752 to seven decimal places.\nAnswer: -0.0000539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 244*k**2 - 952*k + 944.\nAnswer: -2*(k - 118)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3431997?\nAnswer: 3, 79, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + h = -5*t + 257, -t - 5*h + 151 = 0. Let r be 3\/(-4)*(-1232)\/t. Suppose -3 + 8\/3*a**3 - 1\/3*a**4 - r*a**2 + 8*a = 0. What is a?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 5, s: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 - -297. Solve -4*u + m*n = u - 40, -3*n = -4*u + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046797223 to 6 decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 3. Let d be h(7). Suppose -7*y + 4 = -d. Solve -4*p - 12 = -5*u, 4*u - 20 = -y*p - 0*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*f - 2 = -y, -2*y = 4*f - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/24813 and -46\/37679.\nAnswer: 1017333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*m**5 + 130*m**2 wrt m.\nAnswer: -8580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 399 (base 13) to base 3\nAnswer: 212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76428, 76326, 76222, 76116, 76008, 75898, 75786?\nAnswer: 75672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 85*q**2 - 72*q - 166. Does 8 divide g(86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 2:25 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 p when three letters picked without replacement from pmpmpppmuqbmuqw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 42*l - 165. Let c be x(4). Let k(y) = -y**3 + 18*y**2 - 16*y - 11. Let m = -39 - -56. Let h be k(m). Solve c*g - h*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68867618?\nAnswer: 2, 41, 79, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1276)\/(-66)*(-2)\/(-4)*3. Suppose -x - 6*l + 3*l - 6 = 0, l = -1. Which is the third biggest value? (a) -5 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i + 18. Let n be s(-5). Let q = 54 - n. Solve -q*z = -4*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 8*u**2 - 3*u + 3. Suppose 20*c - 8*c - 36 = 0. Is b(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -120, -88, -30, 60, 188, 360, 582, 860?\n\"Answer: b**3 + 7*b**2 + 4*b - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3\/5 - 400212*r**2\/5 - 3*r\/5 + 400212\/5 = 0. What is r?\nAnswer: -1, 1, 133404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 10 - 2. Let w be (4\/(-10))\/((-15)\/375). Suppose v*y - w = 2. Let b(n) = -n**2 + 7*n - 5. Calculate b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12 - 9 - 1 + 9*j**2 + 0.\nAnswer: 9*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336000 divided by 16800.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/28)\/b)\/b**(-19\/4))\/(b**(-11)*b)**(-1\/6) assuming b is positive.\nAnswer: b**(67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1717 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k. Let n(y) = 680*y**3 + 6*y - 694. Let v(u) = 2*h(u) + n(u). What is the first derivative of v(g) wrt g?\nAnswer: 2046*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, m: 3, y: 4}. Give prob of picking 1 y and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 + 10055\/25. Suppose 2*v = -4*n + h, 3*n - 331 = -5*v - 33. List the prime factors of n\/5 - 3\/15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 46. Let x be ((-412)\/(-2)*3\/6)\/(-1). Let u = -92 - x. What is the greatest common divisor of j and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -73.9999886. Round u to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2364 and 6599106.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 308*f - 19621. Determine x(218).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*a**3*l**3 - 45*a**3*l**2*q**3 + 20*a**3*l - 2*a**3*q + 11*a*l**3*q**3 - 4*a*l**2*q wrt l.\nAnswer: -1644*a**3 + 66*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -587.\nAnswer: -18\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -488, -692, -900, -1112, -1328, -1548?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4715? (a) -0.4 (b) -0.1 (c) 3 (d) 5644\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28, -0.2, 0.3, 1\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-56)*5\/((-75)\/2).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1518539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + 372836*k - 11*k**2 - 372836*k - 26.\nAnswer: -11*k**2 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a - -150309?\nAnswer: 14aa7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -255*j**4 + 248 wrt j?\nAnswer: -1020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.2. What is the third smallest value in 2\/11, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 19495.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.93 - -3.13. What is the closest to 1.36 in 2, s, 0.5, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 + 6. Let p(j) = 260*j**2 + 10*j - 19*j + 9*j - 221. Let x(d) = -221*a(d) - 6*p(d). Let g(o) = -o**2. What is g(x(z))?\nAnswer: -169*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456127.0885874015266 + 0.1114055984734. Let s = v + -456128. Let i = s - -0.8. What is i rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*r + 176*r + 181*r + 174*r + 185*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6e1 (base 16) to base 12.\nAnswer: 23115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2222007 - -1?\nAnswer: -2222006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from wtttwwtwwwwt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 7*h**2 - 7*h - 2. Suppose 3*z + 4 = -14. Let u be f(z). Suppose -56 = -u*i + 4*r, -r + 58 = 5*i - 0*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7194328 + 7194328 - 19636*w to the form m*w + a and give m.\nAnswer: -19636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*r - 5*s = 428*r - 152, 2*r + s = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*m + 177*m - 875847 - 8800443. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 7*c + 10. Suppose 21 = -3*s - 0*s. What is the tens digit of p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 1) + (-3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z**3 + 245*z**2 + 121*z + 362. Calculate i(-20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1055120 (base 7) to base 4.\nAnswer: -200011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 0\/(-4) - 10. Let h be 1*d\/((-30)\/55). Suppose c = 2*c - 4*q - h, -4*c = -4*q - 8. Are c and -5\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42813?\nAnswer: 3, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*z - 61, 3*s - z = 36 - 0. Let k(y) = -5*y**3 - y**2. Let c be k(-1). Let t(a) = 14*a + 14. Let r(o) = -5*o - 5. What is c*t(i) + s*r(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c. Suppose 0*w - 2*w - r - 1 = c, -w - 8 = 2*r. Suppose 3*l - 6 = w*l. What is the highest common factor of 36 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8759 - -0.1241. Put z, -0.1, -0.3, -27\/7 in increasing order.\nAnswer: -27\/7, -0.3, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*i + 1940*i**5 - 1509 - 454*i**5 + 1505 wrt i.\nAnswer: 29720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1945320 and 209040.\nAnswer: 260672880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 49 + 293 = 2*u, 2*f = 0. What is the smallest common multiple of u and 40?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -5*l**4\/6 - l**3\/2 - 16*l - 1. Let t(a) be the first derivative of k(a). Find the second derivative of t(n) wrt n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -7 - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 37*x + 106. Let m be o(-34). Calculate the highest common divisor of 16 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2802906 and 53\/18.\nAnswer: 2802906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125247319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*g + 10073 = 252462. What is the remainder when g is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 3*d - 2*d**3)*(2*d - 4*d - 17*d) + (3*d**2 - d**2 + 0*d**2)*(d**2 - 7*d**2 + 4*d**2) + 817*d**3 - 817*d**3 + 137*d**4.\nAnswer: 171*d**4 - 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 - 8*y + 3. Is h(7) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 + 10*k + 16. Let x be f(-6). Solve 0 = 5*h - 2*g + 12, -5*h + 0*g = 2*g + x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -620 - 55. Let s = 356 - 356.07. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 - 3*n**2 + 5*n**2)*(3 - 4 + 3) + 128*n**2 + 82*n - 82*n + 0*n**2 - 11*n**2 - 3*n**2 to the form y*n**2 + k*n + f and give y.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q - 3*g, 5*q - 5*g - 19 = 6. Suppose -10*r + 5*r - 25 = 0. Which is the third smallest value? (a) q (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(44) + sqrt(1100)*-3 + sqrt(44))\/sqrt(4) + sqrt(110)\/(2*sqrt(10)) + 5).\nAnswer: -25*sqrt(11)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 46580*y. Let s(h) = -18*h**2. What is s(t(v))?\nAnswer: -39054535200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3 = -3*t. Let f(r) be the second derivative of 20*r + 0 - 1\/2*r**2 + 1\/12*r**4 + 0*r**3. Let w(v) = -2*v**2 + 3. Determine t*w(h) + 4*f(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/30)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0 + 4*m)*(50 + 11 + 23)*((-6 + 1 + 3)*(2 + 0 - 3) + 1 + 0 - 4) to the form l*m + a and give l.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150075*w**2 + 50262 wrt w.\nAnswer: -300150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23850.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29239686 a multiple of 2289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Which is the nearest to 0.1? (a) 2\/11 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2532*z - 751. Is c(-22) 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 -143*q**3 - 465924*q**2 + 14*q + 613617 wrt q?\nAnswer: -858*q - 931848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-108)\/90)\/((-1)\/380). Let b = s + -324. Let u be (3 - 2) + (12 - 1). What is the highest common factor of u and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 58*d**2 - 5*d. Let p(r) = 29*r**2 - 2*r. Let t(b) = -2*c(b) + 5*p(b). Let k(i) = 2*i**2 - 881 + i + 881 - i. Give k(t(y)).\nAnswer: 1682*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 9*u**2 - 9*u - 3. Let l be v(-8). Let x(p) = l*p - 2*p + 1 + 3. Let r(s) = s + 2. Determine 5*r(y) - 2*x(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 2*f + 2*t - 39, -4*t - 54 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let q = s + -0.4. Let o = 0.1 + q. Which is the second biggest value? (a) -1 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 239*l**5\/5 - 2036*l**2 + 121*l. Differentiate v(w) wrt w.\nAnswer: 2868*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 737009 and 1157?\nAnswer: 737009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36532577657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40758188 - 0.0450793?\nAnswer: 0.36250258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12*c**3 + 6*c**2 + 6*c + 6. Let k(d) = -d**3 - d**2 - d - 1. Determine a(l) + 6*k(l).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/12*5\/2 + 1. Is -51 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r**2\/6 - 22830590*r + 31274150384886 = 0. What is r?\nAnswer: 13698354\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**2 - 16350*k - 267789. Calculate q(2060).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 239*u - 20787. Give b(87).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from zqqzqqqqqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 19*d - 15. What is the highest common divisor of d and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-6))\/((-1)\/(-9)). Let s = o - -37. Suppose -s*r + 444 = -3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2 + 11 - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -26*m. Let h(b) = 209467*b**2. Give j(h(u)).\nAnswer: -5446142*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3063 is divided by 437.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05437 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**5\/180 - 5*b**2\/2 + b. Let v(c) be the first derivative of a(c). Determine k so that v(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6216 by -3.\nAnswer: -2072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0716 times -6\nAnswer: -0.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12355 is divided by 62.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-30)*185\/111 + 4. What is the third smallest value in l, 25, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 64*k - 63*k, g + 0 - 1 = k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31632711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 3. Let p be w(4). Let i(y) = -y**3 - 8*y**2 - 6*y + 15. Let k be i(-8). What is the greatest common divisor of k and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.020732kg in nanograms?\nAnswer: 5020732000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 5 - 13\/(-1). Let x be 9\/d - 4\/15. Let z = 193 - 194. Is z smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17260651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/56)\/((-10)\/(48\/(-6) + 29))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 59*o = 30. Suppose -2*t - 8 = x, 0 = 5*x - 0*x - 4*t + 82. Is o less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*(34\/16)\/(19\/(-76)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466655 divided by -2345?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 7}. What is prob of sequence ue?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443400044 (base 5) to base 7.\nAnswer: -45020614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308849899?\nAnswer: 2239, 137941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.3 (b) -3 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28 and -22756049082.\nAnswer: -22756049082.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**2\/5 + 268*u + 384\/5.\nAnswer: -2*(u - 96)*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/((-720)\/25))\/((-9906)\/121528). Let n = 1\/6604 + u. What is the common denominator of n and 59\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2096302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*1 + -3 + 3. Let m be (-2)\/((-4)\/10)*p. Let z = -20 - m. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267 less than 6261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from posbsbc. Give prob of picking 1 s, 1 c, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/4 + 6*u**3 - 12*u**2.\nAnswer: -3*u**2*(u - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, -4, 1 in decreasing order.\nAnswer: 3, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzvhklvllvvzhlhkjvv. Give prob of picking 2 h.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -49*t**2 + 11. Let u be g(3). Let m = -273 - u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21189456 divided by -36408?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, 6, 2, -1230 in descending order.\nAnswer: 6, 3, 2, -20, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-8)*(n**11*n)\/n*n\/(n*n\/n**(3\/2)*n)*n**(-2\/15) assuming n is positive.\nAnswer: n**(101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155 or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 929*r + 2. Let x(a) = a**2 - 8*a + 76. Let z(k) = -k**2 + 6*k - 57. Let g(f) = 3*x(f) + 4*z(f). Give o(g(i)).\nAnswer: 4*i**4 + 929*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. What is the second derivative of v**2 + 12*v - 6*v**f - 3*v - 4*v wrt v?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47965, 191909, 431829, 767725?\n\"Answer: 47988*i**2 - 20*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*a**2 + 34 + 19 - 53 + 82*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/5, 49494, 2\/15 in ascending order.\nAnswer: -2, 2\/15, 2\/5, 49494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 363000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 3*g + 3. Let f(c) = 5*c - 67. Let l be f(14). Let u(w) = w**3 + 4*w - 4. Give l*u(m) + 4*i(m).\nAnswer: 3*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 88. Let w(f) = f - 186. Let x(o) = -5*q(o) - 2*w(o). Calculate x(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) - (-5 + sqrt(1088) + (sqrt(1088)*2 - sqrt(1088)))))**2 + 0.\nAnswer: -160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8268?\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*q**4 - 11902*q**3 - 17867*q**2 + 2?\nAnswer: -432*q - 71412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 81*m**2 - 1 + 86*m**2 + 1698*m**3.\nAnswer: 1698*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*a + 66*a + 62*a + 144*a as p*a + s and give p.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13953584 is divided by 2790681.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5\/3 + 2372*f**4 - 115944*f**3 + 3500584*f**2\/3 + 7349652*f - 8402940 = 0. What is f?\nAnswer: -5, 1, 27, 1729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -528.74 - 0.0085159397\nAnswer: -528.7485159397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.947583 nanoseconds?\nAnswer: 0.000000003947583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221 - (-4 - 2*4\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6169900?\nAnswer: 2, 5, 11, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Find the third derivative of 11*s**2 - 103*s**3 + 14*s**2 + 109*s**c wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382376 is divided by 9315?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 534*c + 277*c + 267*c to the form w*c + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 - n**2 + 11*n + 3. Let z(s) = 11*s**3 - 2*s**2 + 23*s + 7. Let u(l) = -13*o(l) + 6*z(l). Let u(t) = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + 4. Suppose -o + 3*a + 50 = 0, -2*a + g + 132 = 5*o. Solve w + 19 = 2*v + 2*v, -5*v + o = -5*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -5. Suppose v = q - 27. List the prime factors of q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 37. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Let g be k*((-38)\/4 - -4). Let f be g\/693*14\/30. Do f and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -95*z**5\/4 + 143525*z**4\/4 - 5872335*z**3\/2 + 83066270*z**2 - 823515560*z + 743349600 = 0.\nAnswer: 1, 28, 27090\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-5)*10\/(-3). Let m(p) = p**2 - 8*p + 3. Let r be m(8). Let y = d - r. What is the nearest to -0.1 in 5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2. Let f(j) = -39*j**2 + 2. What is f(m(l))?\nAnswer: -156*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*h = -12*h - 74*h - 3420 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/z)\/z**25 assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 - 5*l. Let x(s) = s**3 - s**2 - 8*s + 15. Let z be x(2). Is f(z) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53494297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-26641*y + 193 + 193 - 586 + 200)*(-2*y**2 - y**2 + y**2).\nAnswer: 53282*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.9. Let r = g - 0.3. Let j be (-6)\/9 + 22\/6. Which is the nearest to -1? (a) j (b) r (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = -4*u, -2*y - 68 = -7*y - u. Suppose 6*d + y = 8. List the prime factors of -2 - (-6)\/(-6)*(-30 - d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40565 + -5?\nAnswer: -4056a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 31, -3, -7, 1 in ascending order.\nAnswer: -7, -3, -3\/7, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514752 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v = 44*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 10*w**2 + 14*w + 13. Give p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 10*s + 14. Let c be m(7). Let g(u) = 0*u**2 - u**3 + u**2 - 4*u**2 + 16 + 11*u - 2*u**2. What are the prime factors of g(c)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 4*f**2 + 3*f**2)*(3 + 2*f - 3 - 4).\nAnswer: 10*f**3 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 7. What is the remainder when 8 is divided by p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 1507, 2316, 3141, 3988, 4863, 5772, 6721?\nAnswer: 7716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568 and 190671352?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 8*d + 8*d + 2*d**4 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 p when three letters picked without replacement from {z: 1, y: 2, c: 2, n: 1, p: 6}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -4*k**3 + 5*k**2\/2 - 5*k + 156. Let m(c) = 13*c**2 - 6*c + 6. What is -6*l(o) - 5*m(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00517 - 8.47917. Let x = 316.5 + -325. Let s = x - q. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 857638, 1715254, 2572876, 3430504?\nAnswer: 4288138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-279)\/24*(-4)\/3 and -55\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16\/3, 128, -2, -45, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 6 - 10) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25609646 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -203?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365524190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*(k*k**(-2)\/k*k)\/k*(k*k\/k**(-9))\/k**(4\/5))**(-2\/85) assuming k is positive.\nAnswer: k**(-182\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -228.327 times 326\nAnswer: -74434.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14756049 divided by 5?\nAnswer: -14756049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 9*q**2 + 51*q + 9. Let v be s(-5). Let j = 115 - -2. Calculate the highest common divisor of j and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymndddmymmnym. What is prob of picking 2 y and 1 d?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44273 (base 9) in base 6?\nAnswer: -344020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-105)\/(-5) + -22)*2*1. Suppose -4*q + 10 = -j - 2*q, -4*j - q - 31 = 0. Which is the second smallest value? (a) m (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332 - 2040?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -697*h**3 - h**2 + 37*h - 3?\nAnswer: -4182*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10420412 (base 5) to base 11.\nAnswer: 63120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, a: 5}. Give prob of sequence aeee.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1. Let i(f) be the second derivative of -f**3\/2 + 3*f**2\/2 - 1684*f. Determine i(v) + 2*q(v).\nAnswer: -3*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 - -1) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:39 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10677.45ml in litres?\nAnswer: 10.67745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 + 170. Solve 0 = -l - 4*h + b, -4*l = -4*h + 2 + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.216173144 to 4 dps.\nAnswer: 0.2162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 13*a + 3*a to the form m*a + t and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:59 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 169*v**2 + 52*v + 18. Is 52 a factor of f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-25)\/500)\/((-6)\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134420, 134383, 134284, 134093, 133780, 133315, 132668?\nAnswer: 131809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -85.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6185, -6187, -6189, -6191, -6193?\n\"Answer: -2*o - 6183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 6*p - 17*p)*(10 - 4 + 13).\nAnswer: -494*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (-1 + sqrt(684) + 4) - sqrt(684))*-2 + 2)**2.\nAnswer: 192*sqrt(19) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 16 + 19 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83.7 + 84. What is the closest to -2 in -2\/5, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/4)\/z)**(4\/33))**(-1\/18) assuming z is positive.\nAnswer: z**(1\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -28. Let q(t) = 192*t - 5. Let y be q(-6). Let v be y\/b - (-10)\/(-75). What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsssvs. Give prob of sequence sv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:29 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -3, -2, -1 in decreasing order.\nAnswer: -1, -2, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -1\/5 (c) -3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110 + 110 - 48*l)*(1 - 2 - 1)*(-27*l - 18*l + 10*l) as h*l + q*l**2 + y and give q.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 659*t**2 + 25*t + 16. Let g(a) = -165*a**2 - 6*a - 4. Let q(n) = -9*g(n) - 2*y(n). Is q(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 11733650*c + 6883927116125.\nAnswer: 5*(c - 1173365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -797, -796, -793, -788, -781, -772, -761?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075 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 prob of picking 1 f and 1 k when two letters picked without replacement from eefzekef.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1 - 3*m - 1 - m. Let g(w) = -2*w - 1. Suppose 2*u = -5*i + 14, -i - 5 = 4*u + 3. Let l be 4\/u*(-6)\/(-4). What is l*x(v) + 5*g(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - (-4)\/10. Suppose k*d - t = -5*d + 24, 0 = 4*d + 5*t - 25. What is the smallest common multiple of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-38))\/(49\/98).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 252*h - 5844. Calculate k(100).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 158\/13*b**2 - 184\/13*b - 14\/13*b**3 + 40\/13 = 0.\nAnswer: 2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 6*i**2 + 4*i**2 + 0*i**2 - 9 + 4. What is t(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*(24 + p + 0*p - 22).\nAnswer: 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 292*r**2 - 25794*r\/5 - 115344\/5.\nAnswer: -2*(r + 9)**2*(r + 712)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/6)\/((-1)\/(-22)). Suppose -2*l - l + g = 0. Let h(a) = a**2 - 11*a + 4. Let c be h(l). Solve -5*z = -4*p + 9, 0*p + 3*z = p - c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/65 in -112, 3, -0.5, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 263*g**3 - g**2 - 2*g - 4. List the prime factors of l(2).\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) -3087 (c) -5 (d) -2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {h: 4, v: 2, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23750615.\nAnswer: 5, 7, 17, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 12. Suppose 2*q - w = 11. Suppose -a - 3*o - 7 = -22, -q = -4*a + 5*o. What is the lowest common multiple of a and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -39. Let z be (3\/(33\/4))\/(-2). Which is the smallest value? (a) -7\/4 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaz when three letters picked without replacement from {z: 2, a: 9, k: 5}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/13)*p)\/p)\/p**6*p**(-3)*p**(1\/9)*(p**(1\/3)*p)**26\/(((p*p**(2\/7))\/p)\/p)**(3\/8) assuming p is positive.\nAnswer: p**(182747\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*k = -1601, -5*m + 2670 = 4*k - 9*k. List the prime factors of m.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 88, 2, 10\/257?\nAnswer: 10\/257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13025643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 + 63640*d**3 + 530149*d**2 + 508892*d - 593740 = 0. Calculate d.\nAnswer: -21205, -7, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 5, v: 1, f: 8}. Give prob of sequence qvq.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 15329\/3585?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -32359.\nAnswer: 1\/32359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 186039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3\/6 + 73*u**2\/4 - 442. Factor v(i).\nAnswer: -i*(i - 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, -2\/113, -4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -474 - 99 - -565 - (88 - (0 - 0))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m - 4*h = 141, 22493*m - 6*h + 27 = 22502*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 - -2.9. Do y and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + 53\/5. Let m(c) = c**3 - 4*c**2 + 8*c - 8. Let p be m(3). Determine a so that 0*a**3 - 3*a**4 - 36*a - 12 - p*a**3 - f*a**3 - 39*a**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 24. Let l(n) = 14*n - 95. Let u(p) = 2*l(p) - 7*v(p). Determine u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196562?\nAnswer: 2, 29, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and 87\/9530?\nAnswer: 9530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*z + 5*z + 1, 2*z = 4*l - 2. Sort -2, l, -5 in decreasing order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - -15. Suppose -g - c = -2*c - 5, 5*c = -4*g + b. Calculate the remainder when 27 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 752 = 4*o + o, 2*o = x + 300. Suppose 2*j - 5*a = 77, -j - a + o = 4*j. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z - 21*z + 17*z**4 - 101*z - z wrt z?\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4\/11, -2\/9, 0.3, -3 in increasing order.\nAnswer: -29, -3, -2\/9, 0.3, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 - 3*x**2 + 26*x**2 - 5*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551147 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 46 = -g - 26, 5*v + 3*g = -20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -233 and 2524.812.\nAnswer: -588281.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x - 1. Let p(j) = 3*j**2 + j - 1. Let b be 666\/(-555)*(-10)\/3. Calculate b*p(y) - 4*w(y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*k - 90 = 0, -26601*i - 3*k + 79 = -26600*i + k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, b: 1, i: 2, o: 1, w: 1}. What is prob of picking 1 b, 2 i, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 12*w - 13. Let c(i) = i + 1. Let n(t) = 5*c(t) + m(t). Let u be n(8). Solve u*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5355852470?\nAnswer: 2, 5, 131, 157, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/10 + i**3\/3 - i**2 - 376*i. Calculate a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1915\/5064 + 2\/633. Let j = -0.97 + 2.97. What is the nearest to -0.1 in i, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i**3 - i**2 - i + 6. Let c(m) = -2 - 3 - 1 + 5. Let u(s) = -6*c(s) - z(s). What are the prime factors of u(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 396*v**2. Let c(k) = -28*k. Calculate z(c(r)).\nAnswer: 310464*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**2 + 14*a**2 - 34*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436726737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 + 130530*o**2 - 54949440*o + 5737239040 = 0.\nAnswer: -26522, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from kkdkkdkwdhdkdkdkdk.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c - 55 = -40*c. What is the second derivative of 57*p**2 - 57*p**2 - c*p**3 + 5*p wrt p?\nAnswer: -66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 7*x - 9 + 8 + 8.\nAnswer: 7*x + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135616 + -2?\nAnswer: -135621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/63)\/((-140)\/(-630)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 + 0 = 4*u, -1 = -2*o + u. Let g(v) = v**3 - 13*v**2 - 30*v + 5. Suppose 143 = -45*d + 818. What is the remainder when g(d) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*k - 2*o = 577*k - 185904, -4*k - o = -185902. What are the prime factors of k?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -18*q**2 - 926*q - 3747. Give i(-47).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 4. Let s = 92 - 131. Let u = s - -43. Give h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 - 5 - (0 + (5 - 0) + -60)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.6 + -620.6. Let c = -613.99998281 - u. Round c to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + o**2 + 7*o + 0*o**2. What is the units digit of g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3 - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 0)*60\/9. Let i be -3*(0 - o\/(-6)). Let u = i - -3. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let h be (-4)\/(-30) + (1 - (-42)\/(-45)). Let r = -0.32 + 0.02. Which is the closest to x? (a) 2 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2141 + -453?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 - 5*x - 1. What is c(-5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 5*(sqrt(242) + -1)*2)**2 + 3.\nAnswer: -24222 + 1100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from lthltelluetu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.4. Let g = 22\/15 + -4\/5. Let f be -2 + 1 + 1 + -1. Which is the closest to f? (a) g (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*s**2 - 175*s**2 + 89*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343447, 686646, 1029843, 1373038, 1716231, 2059422, 2402611?\nAnswer: 2745798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**9\/30240 - x**6\/720 - x**5\/20 + x**2. Let h(k) be the third derivative of n(k). Differentiate h(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (18\/(-36))\/(3\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 42*t**2 - 16*t - 385. Let d(s) = -116*s**2 + 44*s + 1155. Give 4*d(j) + 11*v(j).\nAnswer: -2*j**2 + 385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnuunnnun. What is prob of sequence nn?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:49 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*x - 2*x. Let h = -3 + x. What is the derivative of 5*p**4 + 5*p**2 - 2*p**4 - 2 - 5*p**h wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {i: 7, k: 2, t: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 11:08 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -237*x - 3*x**2 + 4*x**2 + 238*x - 2*x**2.\nAnswer: -x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 197496793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1038, 2074, 3110, 4146?\n\"Answer: 1036*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u**2 - 2*u**3 - 901*u**2 + 978*u**2 - u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956 (base 13) in base 15?\nAnswer: 1b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-3)\/(-6)). What is the units digit of q\/3 - 16\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2388, 1, 2.\nAnswer: 1, 2, 2388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**4 - 144*x**3 - 114*x**2 + 44*x.\nAnswer: 2*x*(x - 11)*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 4*y + 4*y + 21170261.\nAnswer: 6*y**2 + 21170261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184, 359, 534?\n\"Answer: 175*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161.35974528 - 122.3597459. Let m = 39 - v. What is m rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -417 (b) 2 (c) -3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:49 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*c - 1 - 5 - 250*c**2 + 5 - 1.\nAnswer: -250*c**2 + 100*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*w + 6 - 1, -w = -4. Let b be 1\/d - (-6)\/(-9). Let i = b - -2. Put 3, i, -2 in ascending order.\nAnswer: -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7*m. Which is the biggest value? (a) m (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9312.279 millimeters in meters?\nAnswer: 9.312279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0 (c) 1034 (d) 214\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 457\/7 + -65. Suppose f = -2*f. Suppose -5*i = -f*i. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110606899 divided by 29\nAnswer: -3814031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9756*k - 10029163. Give n(1028).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2\/3935, 10, -0.36 in decreasing order.\nAnswer: 10, 2\/3935, -0.36, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/9)\/x)*((x\/x**0)\/x*x)\/x)**(3\/20) assuming x is positive.\nAnswer: x**(17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i + 274. Calculate b(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 168\/(-66) + (-2 + 4)\/1. What is the nearest to 0.4 in -1\/2, -0.4, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826845?\nAnswer: 5, 7, 17, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25800 is divided by 1593.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*m = -4*x + 12, -5*x = -m - 18. Let f(y) = x*y**2 + 0 + 0 + 0. Let a(c) be the third derivative of -c**4\/12 - c**2. Give a(f(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k - 21. Let o(p) = 20*p - 52. Let c(l) = -12*h(l) + 5*o(l). Suppose 40 = u + 2. Calculate the remainder when u is divided by c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71031030 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 3, 12 in descending order.\nAnswer: 12, 3, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 894425 divided by -133\nAnswer: -6725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -36*h**4 + 8*h - 18. Let f(v) = 12*v**4 - 3*v + 6. Let a(q) = 8*f(q) + 3*m(q). Find the first derivative of a(i) wrt i.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1052916.6 minutes to hours.\nAnswer: 17548.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 - 8*p - 5. Let b(a) = a**2 + 7*a + 4. Determine 5*b(c) + 4*u(c).\nAnswer: 4*c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*y**2 + 2*g**2 + 3*g*y**2 - 36*y**2 + 2*y - 2256 wrt y?\nAnswer: 4*g**2*y + 6*g*y - 72*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let u(g) = -3*g**2 - 483*g - 56. Determine u(k(o)).\nAnswer: -12*o**2 - 966*o - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**8\/420 - t**6\/180 + 7*t**3\/6 - 3*t. Let x(b) be the second derivative of c(b). Find the third derivative of x(q) wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d**2 - 6. Let l(a) = -1. Determine k(w) - 6*l(w).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 26361000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 49.37?\nAnswer: -592.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -726 + 728. Solve 2*n - 2 = 2*g, n - z = 2*n + 2*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 8 - 8 + (-1 + q + 1)*(-2*q + 4*q + 0*q) + (-2*q + 0 + 0)*(4 - q - 4) + 0*q**2 + 1 + 1 - q**2 as f + u*q**2 + d*q and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/11 in -5, 5, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -39*n + 44. Let z be w(1). Which is the closest to -2\/5? (a) -0.1 (b) z (c) 0 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 1baa38?\nAnswer: -1baa40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 equal to 1736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -198, -167, -66, 123?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-192)\/(-80)*(-10)\/(-6). Solve 0 = q*w + 3*z - 35, -2*w + w - 5*z = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 23. Let y be w(-10). Let v be 21\/14 + 4*y\/(-3). Let p = 2 + -3. What is the nearest to p in v, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5234eb (base 16) to base 15.\nAnswer: 716469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -137674, -275346, -413018, -550690, -688362?\n\"Answer: -137672*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 16*g + 542*g**2 + 33*g - 1 + 47*g**2 - 13*g.\nAnswer: 589*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/6 and -69\/16312856.\nAnswer: 48938568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:16 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-44)*8\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**4 - 55*t**3 - 145*t**2 + 55*t + 150 = 0.\nAnswer: -6, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4 - 0. Let t be -2*b*(-36)\/(-16). Calculate the highest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/16)\/((-6)\/4). What is the third smallest value in 5, c, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 9*a**2 + 6*a + 17. Let u be f(8). Let i(z) = 5*z**2 + u - 19*z + z**2 - 6*z**2 + 6*z**3 + 21*z. Let j be -1*(1\/1 + 0). Give i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -87, -140, -193, -246?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -5\/24*r**4 + 7*r**2 + 0 + 0*r + 1\/20*r**5 + 5\/6*r**3. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23aa - 1b60?\nAnswer: -434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u + 1. Let i be l(1). Let y be i\/3*(-26)\/(-6). Let c = y - -21. Solve 0*v + c = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10290*c - 10292*c - 38 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsgs when four letters picked without replacement from {s: 7, g: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7087082 is divided by 527.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 - 2*c**3\/3 - 10*c**2\/3 - 34*c\/9 - 4\/3.\nAnswer: 2*(c - 6)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25092892 < 25092896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Let s(n) = -n**3 - 3*n - 6. Let q be s(-4). Let r be 21\/q*(-5)\/(-12). Which is the third smallest value? (a) -1 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2 - 9*y + 0 + 13*y. Let m(g) = 70 - 4*g - 3*g - 34 - 32. Give -5*l(h) - 3*m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**4\/24 - f**3\/6 + f**2. Let a = -11 + 22. Let t(m) = -m**2 + 12*m - 15. Let b be t(a). Calculate q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47878124.\nAnswer: 2, 7, 1709933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4*12*(-4)\/6. Is (-6)\/t - (-5104)\/(6 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 + 62 - 5*j**2 + 20*j**2 - 9*j**2 as n + t*j + m*j**2 and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/6))\/m**(-26) assuming m is positive.\nAnswer: m**(163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/5*(-50)\/30. Solve a - h = -2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1301*f - 6512. What is q(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 3*k**3 - 6*k**3 + 38*k.\nAnswer: -k**3 + 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + -2*sqrt(405))\/sqrt(9))\/((sqrt(36) + sqrt(360)\/sqrt(10))\/sqrt(4)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, 23, -2, 7, 4, 1, -4 in decreasing order.\nAnswer: 204, 23, 7, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19920 - -13825. Let r = -6114.955 - l. Let c = 20 + r. What is c rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10685453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 2*p + 4. Let h(v) = 7*v**2 + 4*v - 8. Let w(a) = -a**2 - a + 1. Let g(k) = h(k) + 5*w(k). Suppose -15*m + 11*m = 16. Give m*g(x) - 3*y(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 387958, 89, 0 in ascending order.\nAnswer: 0, 89, 387958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 11*n - 15. Let z = 48 - 40. Let k be g(z). Let r = -16 + 26. Are r and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + g - 290 = -3*g, 5*w - g - 491 = 0. Let c = w - -21. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/133 and 54\/7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5526, 5523, 5520, 5517, 5514, 5511?\nAnswer: 5508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8)*(43 + 5). Factor 27*b**2 - 59*b**2 - q - 24*b + 28*b**2.\nAnswer: -4*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164955731 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11192)\/(-14) + 17\/(595\/(-15)). Let s = 802 - i. Which is the nearest to s? (a) -16 (b) -3\/2 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1598 = -5*v + 1557. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1293)\/11 - (944 + -1067)?\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2825418 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 5 - (-5 - -6). Let h be 8\/y*(-5)\/(-4). Suppose -t = -5*z + 35, h*z - 2*t - 30 = -0*t. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -12, -13.\nAnswer: -13, -12, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91 + 90 - (-2 - (4 + -7))) + (12 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o. Let t(k) = 15198744*k**2. Give t(w(n)).\nAnswer: 547154784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 - -183. Suppose -t*c + 5*g + 247 = -2*c, c + 3*g = 231. List the prime factors of c.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*i + 1608 - 256 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 433 - 84. Suppose -203 = -3*s + 4*y, 6*y - 2*y = -5*s + b. Calculate the remainder when s is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1398*z**3 - 4*z**2 - 40*z - 75. What are the prime factors of c(-2)?\nAnswer: 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from {m: 2, q: 16}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 541147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 123, 139, 153, 165?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 129001, 128911, 128833, 128773, 128737, 128731, 128761?\n\"Answer: b**3 - 97*b + 129097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*m + 37, 0 = f - 2*m + 11 - 7. Let b(y) = -2*y + 12. Let o be b(f). Which is smaller: o or 12\/89?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -47?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 25*p**2 - 41*p - 106. Calculate w(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 12, 4, 160, -58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 8. Let t(y) = -14*y - 1. Let l be t(1). Let z = l + 11. Let o be v(z). Solve 5*m = o - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 372 + 25?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 92\/22 - (-8)\/(-44). Let i(f) = 25*f**3 - f**2 + 8*f + 17. Is i(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43902 by 7317.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 38 = -3*f. Let o = f - -74. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a. Let h(b) = 2*b**2 + 15*b + 7. Let m(i) = h(i) + 3*s(i). Let k(r) = 2*r**2 - 11*r - 13. Determine 6*k(l) + 11*m(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - g = -1, 5*m - 3*g - 8 = 11. Suppose -m*h - 3*h - 4 = -t, -t + 4 = 5*h. Solve h = -5*u - 0*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 5, -3\/5 in descending order.\nAnswer: 5, 0.1, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31553 times 0.2?\nAnswer: -6310.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {q: 5, r: 3, h: 1, j: 2, k: 1, g: 8}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153 + -63. Let p = 542 + -540. Suppose p*s = 5*s - y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -1\/8 (c) -3\/7 (d) 2354\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -188*a - 479 - 160. Sort 2\/85, 0.2, a, 7, 1\/2 in descending order.\nAnswer: 7, 1\/2, 0.2, 2\/85, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 380, 650, 920, 1190, 1460?\n\"Answer: 270*q + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356528191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -536 - -753. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 243*c**5 + 48465*c**4 - 27096*c**3 - 19212*c**2 - 2400*c = 0?\nAnswer: -200, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605735 is divided by 46545?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-12)*1107\/9)\/(-2))\/((-9)\/(-36))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320 - -251240?\nAnswer: 250520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -86*b. Let d be n(-1). Calculate the highest common divisor of 215 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, h: 4, i: 5}. What is prob of sequence tiih?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -18101*l + 36201. Determine j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 60 = 4*g, 2*g - 117*o = -0*g - 122*o - 30 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -10 + 13 + -23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2 - 3*c - 4. Let z be f(0). Suppose 0*k = -2*k. Put -1, k, z in decreasing order.\nAnswer: k, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x. Let c(q) = -9*q + 5. Give t(c(s)).\nAnswer: -27*s + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence athp when four letters picked without replacement from {j: 3, h: 2, a: 4, p: 1, t: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28865 + -14005. Round r to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193 = -143*s + 1201 - 249 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 32*r**3 - 11*r**2 - 51*r + 141. What is m(3)?\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Let n(m) = m - 3. Let u be n(f). Let b be 0\/(-2)*u\/2. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y + 24. Let u be -2 - y - (-1 - -2). Let w = -2952 - -2953. Put u, w, 2 in ascending order.\nAnswer: w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*m + 13 = 0, 4*m + 2 + 26 = 4*s. What is the nearest to s in 2\/7, 5, -2\/13, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3*l - 1415*j**3 - 3*j**2 - 3*j*l**2 - 3*j + 175*l**2 wrt l?\nAnswer: 8*j**3 - 6*j*l + 350*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -567032 (base 8) in base 14?\nAnswer: -4dda2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, -4, -0.09, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-13*20\/(-8). Let n be 1 + 3 + -3 + j. Let m = 105 - n. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*r + r**2 - 71*r + 41*r)*(-59*r**2 + 87*r**2 + 291*r**2) in the form m*r + u*r**2 + a + v*r**4 + j*r**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18293 is divided by 383.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 2*q**2 - q - 4*q**2 + 0*q. Let d be s(1). Which is bigger: d or -2\/45?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*f**2*m**5 + 72*f**2*m - 784*f**2 - 2173*f*m**5 - f*m wrt m.\nAnswer: -960*f**2*m**3 - 43460*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -47 + 27. Suppose n = -3*r - 2*r, 1 = 2*v + 3*r. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(4 + 11 + 1)*(h + 0*h - 3*h).\nAnswer: 64*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = -5, 0 = -4*h - 3*j - 4. Put h, -3, -2 in descending order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 438 = 5*v, 4*z = 2*v - 165 - 3. Which is smaller: v or 91?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1146579, 1146586, 1146593, 1146600, 1146607, 1146614?\n\"Answer: 7*y + 1146572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -4. Let k(b) = -b**3 - 3*b**2 + 2. Let g be k(w). Does 10 divide 4\/g + (-176)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -6, 310, 7, 1\/4, 6?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**6\/120 - o**3\/3 - 11*o. Let m(b) be the second derivative of u(b). Solve m(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96 - 88?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 times -0.2?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3\/4*o**4 - 83 - 13*o**3 - 33*o - 69\/2*o**2. Factor u(m).\nAnswer: -3*(m + 1)**2*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40940 divided by -460\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/49*((-84)\/(-25))\/7*(-250)\/150\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -85. Let y be (g - 8 - -10)*(0 - -1). Solve 5*a + u = 11, a - 2 = u + y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**2 + 0*c + 0*c + 1073*c**2 + 1592*c**3 + 334*c**2 + 2 wrt c?\nAnswer: 9552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/((-12)\/60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59*x**2\/4 - 32*x + 5.\nAnswer: (x - 2)*(59*x - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5 = -k, -5*n - 8 + 33 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 0.193713678.\nAnswer: 0.806286322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/60 and -23\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 11. Let w be (4\/(-2))\/((-2)\/(-7)). Let j(k) = 2*k + 5. Determine w*j(m) - 3*q(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**3))\/l)**(1\/25)*(l**(2\/7))**(-5\/7))**(-5) assuming l is positive.\nAnswer: l**(152\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.56291 tonnes in milligrams?\nAnswer: 43562910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 - ((-37 - -56) + 3 + 13) - -4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -310420 (base 5) in base 13?\nAnswer: -47a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 12*p - 36. Let w be i(-29). Suppose 5*f = -4*d + w, f + 9 = -2*f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2163 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*b - 7842 - 10638 = 0 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*p - 37, 0 = 4*p - 2 - 18. Let j(i) = -i**2 + 8*i + 2. Let a be j(8). Suppose a*w - 2 = w. Put 3, f, w in ascending order.\nAnswer: f, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*r + 0 + 0 + (2 - 5 + 2)*(-4*r - 1 + 1).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(3\/(-1) - -5). Let s be (5\/(-3))\/((-18)\/(-54)) + 22. Solve o = -5*p + 2*p + 5*i + s, -p - 2*i = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/135)\/(-1*(-1)\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13195844201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 - 3*t - 241. Let m(b) = -21*b**2 - 13*b - 959. Calculate -4*m(k) + 17*y(k).\nAnswer: -k**2 + k - 261","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooooooyooppoyyop. What is prob of sequence ooy?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 5*c - 0*i + 43, 204 = 6*c + 5*i + 236 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*a, z + 2283*a = 2288*a - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(2*(5 + (-211)\/42)). Let q(u) = -16*u + 1. Determine q(v).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3910192, 7820373, 11730554, 15640735, 19550916?\nAnswer: 23461097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 263*i + 5. Let v be p(1). Suppose 86*d = 85*d + v. Suppose 4*m - d = 4*b, 2*m - 5*b - 135 + 4 = 0. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*y - 491 - 1966 = 0 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s - 9. Let y be s\/2*5\/5. Let l(i) = 18*i - 4. List the prime factors of l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484890, 969783, 1454676?\nAnswer: 1939569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3\/2 (b) 10.8 (c) -0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 46. Suppose o = 2*u - u - v, 5*o = u + 3. Suppose 7*z - 10 = 5*z. Solve 0 = -2*r - z + o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*b + 783 - 783 + (-3 + 3 - b)*(3 - 4 + 2) + 0 + 2*b + 0 + 3*b - b - 4*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 474*o**2\/5.\nAnswer: -2*o**2*(o - 237)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11633 - -36226. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 2*f - 8, -1 = -s + f. Solve 18 = -s*r - 3*u, 2*r + 5*u - 4 + 31 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(1\/3)*s))**(17\/4))**(1\/6))**35 assuming s is positive.\nAnswer: s**(-595\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 23. Let a(t) = t**2 - 9*t - 14. Let s be a(11). Let z be f(s). Suppose 4*x + x - 5*h = -5, -5*x = 5*h - z. Solve 0 = y + 5 - x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 7*u**6\/120 - 7*u**4\/24 + 2*u**2 - 7. Let n(o) be the second derivative of k(o). Find the second derivative of n(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 34505 = -9733. Let l be (-24)\/(-42) + x\/(-14). What is l rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9698258 by -53.\nAnswer: 182986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 26 + 26)*(-48*a**5 + 298*a - 298*a).\nAnswer: -672*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62701\/2516 + -952\/37. Let o = a - -1\/17. What is the nearest to -6 in o, -6, -3\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 1316.\nAnswer: 9212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11533*c**3*v + 12196*c**3 wrt v.\nAnswer: 11533*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 36672\/1584)*(-24)\/10.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u = 44*u + 12. Solve -u*m + 2*z + 15 = 0, 4*z = m - 9 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4)\/23)\/(-2) + (-17160)\/(-8970) and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = -3*g + 276, 3*g - 69 = -f. Suppose -75 = -6*r + f. Suppose 9*n - r = -3*n. Solve n*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30657719 + -16557719. Round k to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604752017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.057868 to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v. Let z(y) = -y + 3. Let c be z(2). Let b(u) = u. Determine c*t(f) - 4*b(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123297*g + 61650*g + 61648*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34271*0.1.\nAnswer: 3427.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**4\/8 + 3*i**2\/4 + i + 559. Factor r(x).\nAnswer: -(x - 2)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36184705.\nAnswer: 5, 37, 195593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*b*d**2 - 13*b*d*y - 912*b + 12655*d**2*y + d*y wrt d?\nAnswer: -128*b + 25310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z**3 - 38 - 16*z**3 + 39.\nAnswer: 36*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + -10 + -57 + 7 + 44.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01152929202 to 4 decimal places.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -31\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiw. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, -2\/7, -61, 35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -h - 1. Suppose -w = w - h. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 3*f**2 + 0*f**2 - 7*f**2. Let o(d) = 24*d**2. What is o(j(z))?\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 318634 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1180410 or -3541232\/3?\nAnswer: -3541232\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (-83 - -82)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 + -289. List the prime factors of (-3)\/4*s*(-4 + -4).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/11 + 76*k**4\/11 + 146*k**3\/11 + 72*k**2\/11 = 0. What is k?\nAnswer: -36, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 531 = -169*p - 129. Let g(s) = 4 - 5*s - 12 + 2*s. Let u(h) = 2*h + 7. What is p*u(o) - 5*g(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134, 161, 226, 347, 542?\n\"Answer: 3*i**3 + i**2 + 3*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 14, a: 1, t: 2}. What is prob of picking 1 c, 1 t, and 1 a?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 3. Let w be i(-6). Let g = -8 - -15. Factor 3*y**3 + 2*y**5 + g*y**w + y**2 + 3*y**2 + 8*y**4.\nAnswer: 2*y**2*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*m - 413*m + 2*f + 28 = 0, 4*m + 192*f + 2688 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77922.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 0 (c) 2\/179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + (1 - -2 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 2*z**2 - 2*z + 3. Let j be u(3). Solve 3*b - j*f + 1 = -2*f, -f - 8 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.2 + 13.2. Let z = k + 141. Let l = 65 - z. Which is the second biggest value? (a) l (b) -0.4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5743 + -6537?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m - 10*m - 3*z - 18, m - 24 = 5*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/11 - (-3)\/(-1). Let n = 6 - b. Suppose n*i + 7 = 2*g, 3*i - 5*i - g = 1. Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7. Suppose 0 = 3*y - 3 - j. Which is the closest to y? (a) 1 (b) -0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/9, 4, 119, -18, 37 in increasing order.\nAnswer: -18, 26\/9, 4, 37, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 1 + sqrt(288) - (sqrt(16)\/sqrt(2))**2.\nAnswer: -7 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -q + 17, 0 = q + 4*q - 3*x - 16. Let d(u) = u**2 - 3*u - 7. Let n be d(q). Solve -n*i - 3*p + 3 = 0, 1 = 2*i + p + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-13 - -12) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t - 9. Let j be i(9). Let m(c) = -c**3 + 22*c**2 + 54. Let z be m(22). What is the highest common divisor of j and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.092531 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4751, 37985, 128195, 303869, 593495, 1025561?\n\"Answer: 4748*y**3 - 2*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from ccucccuwoa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 + -2.22. Let f = k - 0.08. Let y = -0.20055 - f. What is y rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = 30. Let b = a - -23. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/168*1 - (-2)\/(-12). Let k = -22 + 44. Which is the second smallest value? (a) 1\/4 (b) k (c) 0.2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a + 34. Let l be s(-4). Suppose 0 = 3*y - y - 10. Sort -1, -3, y, l in increasing order.\nAnswer: -3, l, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4536*a**4 + 22*a**3 + 11*a - 9654. Let j(w) = -909*w**4 - 4*w**3 - 2*w + 1931. Let k(x) = -11*j(x) - 2*p(x). Find the first derivative of k(n) wrt n.\nAnswer: 3708*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 3, 4*p = 5*h - 27. Let n be (0*1\/2)\/(-1 - p). Suppose n = 2*d + 4*x - 148, 308 + 44 = 5*d + x. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.32729 and -0.14.\nAnswer: 0.18729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.0695mg in tonnes?\nAnswer: 0.0000005350695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:13 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 26*v + 5)*(2*v + v - 7*v)*(0*v + 2*v - 3*v) - 2*v**3 + v**3 - v**3 + 2*v**3 - 1 + 1.\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12251 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o + 22. Let u(s) = s**2 + 13*s + 16. Let w be u(-12). What is the units digit of z(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2))\/((-489)\/2934 - 1\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -5. Let d be 12*(p + 20\/12). List the prime factors of ((-4)\/(-6))\/(d\/(-408)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*l**3 + 57080*l**2\/3 + 192338*l\/9 + 54332\/9 = 0.\nAnswer: -94, -17\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 - -5 - (-32 - -37 - -33).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -11e?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767187909 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/20 + 11*z**3\/10 + 5*z - 7. Solve k(a) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 5. Let l(u) = u. Let p be l(3). Suppose p*m = -m + 12. Let n = 4 + -8. Let o(g) = -2*g + 6. Calculate m*o(y) + n*f(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-21) + 520\/6. Let a = -19 + u. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.98 - 5.88. Let g = q + -2.1. Sort 0, -3, g.\nAnswer: g, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -895, -2632, -5175, -8524, -12679, -17640, -23407?\n\"Answer: -403*u**2 - 528*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -34 + 74. Let n = w - 10. Suppose -14 = 8*a - n*a. Solve a = -3*r + s, 4*s = r + r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1555 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 15*f - 17. Let i(u) = -46*u + 0*u**2 - u**2 - 2*u**2 - 52. Let t(s) = -2*i(s) + 7*p(s). Is 6 a factor of t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 420242190 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let q(x) = -x**2. Let t(u) = -100*u**2. Let z(v) = 220*q(v) - 2*t(v). What is z(h(o))?\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -74 (b) 5 (c) 2\/19 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from ghhhz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4\/5 (b) 0.3 (c) -7 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 751, 767, 771, 757, 719, 651?\n\"Answer: -z**3 + 23*z + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802.43 decades in millennia?\nAnswer: 58.0243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:35 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27256.81 kilometers?\nAnswer: 27256810000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2a (base 13) in base 2?\nAnswer: -11010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/(-24)*(-1 - -21). Let o = v + 166. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4781081.\nAnswer: 107, 44683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -318174 and -318168 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8\/5, 0.039 in decreasing order.\nAnswer: 2, 8\/5, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aojoajjjjjljojjl. What is prob of sequence al?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 5*g**5 + g**5 + (3*g**4 + 0*g**4 - g**4)*(1 - 1 - g) + (3*g - g - 4*g)*(-4*g**4 + 5*g**4 + 0*g**4).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*k = -76, 3*k - 13212 = -12884*p + 13484*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -158.\nAnswer: -55\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8686 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-743)\/(-124) - 6)\/(23 - (-1665)\/(-72))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91306168589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*q**5 + 42*i**3*q + 251*i**3 - 3907*q**5 wrt q.\nAnswer: 20*i**3*q**3 - 78140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155 - -156. Let k = -0.1 - 0.1. Which is the nearest to 1? (a) g (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.82711 litres?\nAnswer: 57827.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6110, 14, -2, 1 in decreasing order.\nAnswer: 14, 1, -2, -6110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-1 + sqrt(13) + sqrt(13) + (3 + sqrt(13) + 1)**2 - 3*sqrt(156)\/(sqrt(12) + 1*sqrt(12)) - ((3 + 3 + 1 + sqrt(468))**2 + -3).\nAnswer: -485 - 163*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abjj when four letters picked without replacement from qbacafqqjcacqjaaaacf.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b - 13. Let h(k) = -4*k - 15. Let f(r) = -4*h(r) + 5*q(r). Determine f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140775041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/4)\/(6\/48). Let p = k + 21. Let m = -6 - -2. Put m, 5, p in increasing order.\nAnswer: p, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302200022 (base 4) in base 13?\nAnswer: 73202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -445868?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159042623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.36 (b) 95 (c) -39\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + r. Let g be (-1)\/(2 + (3 - r)). Let j = -18 + 17. Which is the closest to g? (a) -2\/11 (b) -5\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 - d**3 + 2 + 6 + d. Suppose l - 5*h = -25, 5*l + 5 = 5*h - 4*h. Determine p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-1\/3)*(h*h*h*h**(-9))\/h*(h*h\/h**(2\/3)*h)**(-2\/29) assuming h is positive.\nAnswer: h**(-169\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7ac0 (base 14) to base 12\nAnswer: 10420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/20 + 5*l**4\/4 - l**3 - 15*l**2\/2 + 6*l. What is the units digit of d(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m. Let y be (3 - 0) + 7\/((-21)\/9). Suppose y = 3*c - 3 - 12. Let t(l) = -20*l. Let k(a) = c*t(a) - 8*n(a). Let i(w) = w**2. Calculate k(i(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-75))\/((108\/(-80))\/(-9))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010312805 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z - 35 = 44*z. Suppose z*t - y = 3*y + 252, 2*t - y = 102. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25468.\nAnswer: 2, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*d**5*p + d**4*p**3 + 2*d**2*p**3 - 3*d**2*p**2 + 30*d*p**2 wrt d?\nAnswer: 11460*d**2*p + 24*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 126 = -12*d. Let n(b) = -b**2 - 6*b + 10. Let z be n(-7). Suppose c + x - d = -2*c, z*c = x + 63. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*k = 4642 + 1389 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:08 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3718\/2870 - (3 + -2). Let l = m - 2\/205. Let i be (-1)\/(((-105)\/(-6))\/5). What is the nearest to 0.1 in i, -3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*n + 1583*n = 751*n + 2112 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 34 = -j + 20, -2*u + 2*j + 12 = 0. Solve u = -6*a - 6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.5, -0.2, 3, 1700 in increasing order.\nAnswer: -0.2, 2\/13, 0.5, 3, 1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + 1.4. Let m = -47 - -47.3. What is the smallest value in v, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2, -1, -53, 4, 3 in increasing order.\nAnswer: -53, -23, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 - 3)*(4 - 2 - 1) - 52 - 17 - 12)*(4*x + 2*x - 3*x + (6 - 4 + 0)*(-x + 3*x - 4*x)) as h + q*x and give q.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 24*x**2 + 4*x - 171. What is the tens digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3887*z**2 - 75*z - 155. What is the tens digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/17, 1.4, 22, -14, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 45, 60, 93, 150, 237?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29605*v**2 - 2 + 10*v**4 - 29603*v**2 - 2 + 8*v to b*v**2 + m*v**4 + c*v + g + i*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-75)\/4)\/(2\/(-8)). Let i be (1\/(-3))\/((-5)\/r). Suppose -4*w = -16, -7*x + 4*x + 2*w = i. Do x and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/4 + 17\/12. Suppose o - 7 - 3 = 0. Let m = o - 6. What is the nearest to -11 in q, 1, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, b: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28091540 rounded to the nearest ten thousand?\nAnswer: 28090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c + 24. Determine f(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 6*f + 2. Let c(v) = -v + 1. Calculate -6*c(a) - o(a).\nAnswer: -2*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/184 - 3\/72.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 4*o - 41 + 61, 12 = -5*z - 2*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 1) + (-492 - -602).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 740 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/12*(-3)\/2. List the prime factors of x*1*(-80)\/56.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39641\/3 or 13215?\nAnswer: 13215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b80d (base 15) in base 10?\nAnswer: -38938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 + 381. List the prime factors of k.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 225954?\nAnswer: 1581678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159608496\/41 or 3892890?\nAnswer: 3892890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/2, 3, 0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73931612?\nAnswer: 2, 18482903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 63\/23 (b) 0.1 (c) -10 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/35)*s)**(-1\/18)*((s**(-32)*s)\/s)\/s**(8\/7) assuming s is positive.\nAnswer: s**(-6971\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/5))\/l**(-30)*(l**(2\/9)\/l)\/l**(3\/4) assuming l is positive.\nAnswer: l**(5233\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 p, and 1 t when four letters picked without replacement from nfffnftfpfpnp.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7606 + -7606.3. Let h = 24 - 13. Let t be (-2 + 0)*h\/2. Sort 4, x, t in decreasing order.\nAnswer: 4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 divided by 285\nAnswer: 341\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4)*14\/84.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 1584*m - 22184\/7.\nAnswer: 2*(m - 5546)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 22*h - 3. Let m(a) = 7*a - 1. Let u(l) = -5*m(l) + w(l). Let d(j) = j**3 + 2*j**2 - j + 3. Let q be d(-3). What is the tens digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -12*z**4 - 36369*z**3 + 9141*z**2 + 145476*z - 36372 = 0.\nAnswer: -3031, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**3 + 16*t**3 + 13*t**3.\nAnswer: 59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - (-10)\/(480\/84).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/3 + 10*k**4 - 32*k**3 - 128*k**2\/3 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**7\/12600 + r**4\/3 + r. Let b(s) be the third derivative of z(s). Let b(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e156 - -12?\nAnswer: -1e144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33489\/2 or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l + 7*l + 46 + 37 + 10*l - 84. Let r(w) = -62*w + 2. Give -3*r(i) - 8*s(i).\nAnswer: 18*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 12*p = 400. Let u(m) = 55*m + 6. Let c be u(-2). Let g = p - c. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 53*o**4 + 4 + 65*o - 63*o + o**3 to the form d + b*o + t*o**4 + h*o**2 + q*o**3 and give t.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 25 - 75. Let q(h) = -h**2 + 16*h - 6. List the prime factors of q(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -124. Let l be 1 + -2 - (2 + -5). Differentiate l*p**4 - u + 7*p**4 + 20 wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*s**2*u**3 - 38*s**2*u**2 - 1339*s**2*u + 38*s**2 - 731*s*u**3 - 2*u**3 - u - 4 wrt u?\nAnswer: -1950*s**2 - 4386*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1890, 4, -7, -42, 1 in decreasing order.\nAnswer: 4, 1, -7, -42, -1890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/(-6) - 38 - (52 - -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4697583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362095?\nAnswer: 5, 7, 38917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-22)\/33)\/(1\/849). Let o = -332 - v. Does 39 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 5*s**2 - 1\/18*s**4 + 0 + 1\/10*s**5 + 1\/72*s**8 + 0*s + 0*s**3 - 1\/35*s**7 - 1\/36*s**6. Find h such that l(h) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7195 = -5*f - t + 4095, 5*t = -4*f + 9032. List the prime factors of f.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-z**2 + 2*z**2 - 3*z**2) + (-9*z + 30*z - 8*z)*(2*z + 1 - 1) + z**2 + 3*z**2 - 2*z**2.\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5808, 5474, 4924, 4152, 3152, 1918, 444, -1276?\nAnswer: -3248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 177?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35574, 35576, 35576, 35574, 35570, 35564?\nAnswer: 35556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 13, m: 3}. Give prob of sequence lm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -11. Let s be 1\/36 - (-2)\/a. Factor -1\/4*m + s*m**2 + 0.\nAnswer: m*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (292\/(-6) + -2)*(-1170)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)*w)\/w**(-1))\/(w**0)**50 assuming w is positive.\nAnswer: w**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78459 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 less than or equal to 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 731947609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 286491486.\nAnswer: 572982972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 30*w + 14*w + 11*w + 60 = 0, -12 = -3*b + 3156*w - 3151*w for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**5\/11 - 8*z**4 - 34*z**3\/11 + 60*z**2\/11 = 0. What is z?\nAnswer: -1, 0, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:39 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) 0.8 (c) -2\/5 (d) 0.04 (e) 8\/31 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 1, d: 2, j: 4}. Give prob of sequence jkj.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 19*c - 335, -33*c = -32*c - 4*q - 29 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0*a**2 - 1\/15*a**3 + 1\/10*a**4 - 2*a - 3\/50*a**5 + 0 + 1\/75*a**6. Solve x(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 8 = w, 2*w - 4*w = -5*c - 31. Let o(h) = -h + h**2 + 4 - 3*h**3 - 4*h**2 + 2*h**3. Is o(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -903332, -3613330, -8129998, -14453336, -22583344?\n\"Answer: -903335*u**2 + 7*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4315126 = 4315128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ieaieaiiieeae?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v - 3731 + 18*v + 19*v.\nAnswer: 4*v - 3731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81390765 divided by 27130255.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(2\/3))))**(-9)*r**(-4)\/(r**(-4\/7)*r))\/(((r\/((r*r**(-5))\/r))\/r)\/(r\/r**(-2\/5)))**(8\/9) assuming r is positive.\nAnswer: r**(-372\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 6662 - 326 = 10*r. What is the highest common factor of r and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {s: 3, q: 1, l: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbblbuullulbuuil. Give prob of picking 2 l.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 4:28 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q + 20. Let i = -487 + 481. Let w be s(i). What is the nearest to -2\/9 in -0.4, -1\/7, w, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*o + 6 = 0, -4*b - 3*o - 2*o = -27. Let w(u) = u. Let s be w(b). Solve -2*r + s*q + 5 = 0, -r - 5*q = r + 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2400 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 246524952 divided by -19416\nAnswer: -12697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 1.\nAnswer: 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f**2 - 94*f - 19. What is the tens digit of o(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**3 + 2*z - 1. Let h be j(1). Let n be (13\/3)\/((-5)\/15). List the prime factors of (3 + n\/5)*h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 426 = -396, -4*s + 24 = 4*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 9*b = -6*b - 68 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swjsswyjspwwppwywwpw. What is prob of picking 2 w, 1 p, and 1 s?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 118721042236?\nAnswer: -118721042227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3038 rounded to the nearest ten?\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 4\/61, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 29897220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**4 + 76*q**3 + 452*q**2 + 644*q - 1176 = 0.\nAnswer: -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73957, -142842, -211727, -280612, -349497, -418382?\nAnswer: -487267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(4 + (-28)\/6). Suppose 46 = 4*q - k, 5*q = q + 5*k + c. Is 10 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14496497*j + 17730775.\nAnswer: 14496497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 509 + 19. Let s be 2\/(-8) - (-38)\/k. Which is the nearest to -0.1? (a) -1\/10 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 11) to base 3\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 11*a**2 + 13*a + 3. Let x = -18 - -9. Let d be f(x). Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/(-975) + 4\/(-50). Solve -4*g = 4*b - d*b + 4, g + 5 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 3. Let n be d(-2). Suppose 0 = -2*o + 9*u - 6*u + 231, 2*u + 561 = n*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 497, -336, -1, -2, -3, 3.\nAnswer: -336, -16, -3, -2, -1, 3, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {f: 1, p: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287321790 and 1470?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.29516946 to one decimal place.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (225 - 1) + 12\/(-3)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4*-1)\/(28\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 16 = 0, 2 + 58 = 4*j - 5*o. Let r(f) = -f + 10. Let h be r(j). Factor -2\/3*d**2 + 7\/3*d**3 + h*d + 0.\nAnswer: d**2*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80994469*u**2 + 25876321*u.\nAnswer: 161988938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 - -150 - (-1 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 15. Let n = -293 - -295. Calculate the least common multiple of ((-14)\/6)\/(v\/(-120)) and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + 8*s**2 + 3*s + 2. Let w(c) = 4*c**3 + 5*c**2 + 2*c + 2. What is -3*t(z) + 2*w(z)?\nAnswer: -z**3 - 14*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -28, -11, 36, 119, 244, 417, 644?\n\"Answer: t**3 + 6*t**2 - 32*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425297911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 304297619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 16 + 3*i - 26 + 5*i**4 + 12 to n*i**2 + z*i**3 + j*i**4 + g*i + h and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1223\/33 + 481\/11. Determine z, given that a*z - 4\/3*z**2 - 4 - 4\/3*z**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/16)\/(((-33491)\/159216)\/(-313))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - 110 = 0. Let v = -22 - n. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3 (b) 14 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d. Let f(q) = 3*q - 13. Calculate f(g(s)).\nAnswer: -42*s - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52709\/104720 + 12\/1309. What is the common denominator of a and -97\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 6 + -11 + (6 - (-12 - -5))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1188)\/(252\/14)*26\/78?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -24 (c) -142\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/28 + 58\/203. Let q = 118 - 108. Which is the third biggest value? (a) 5 (b) q (c) -2\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/4 or -4\/536467?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -3*t**5\/10 - t**4\/6 + 4*t**3\/3 - 8*t. Let y be x(-4). Let z = y - 137. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 - 111 + r + 167 in the form y + z*r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:13 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17025 and 0.47.\nAnswer: -8001.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101, -222, -761, -1516?\n\"Answer: -108*b**2 + b + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 1.909, 0.1, 0.13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1.12651.\nAnswer: 5.63255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*v - 2 - 2, 0 = -v - 5*i - 2. Let h(g) = g + 6. Let s be h(6). Suppose -4*c = 0, 0 = 4*z + v*c - 7*c - s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3147133 millilitres in litres?\nAnswer: 0.0003147133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3809734 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + b - b)*(15*b**2 - 15*b**2 - 28*b**3) - 2*b**5 + b**5 + 0*b**5.\nAnswer: 83*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -24. Let h(l) = l**3 - 10*l**2 + 20. Let j be h(d). Calculate the greatest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 12*c - 7. Give x(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360027508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(850) - (sqrt(544)*-4 - sqrt(34)))\/(sqrt(2) + sqrt(14)\/(-2*sqrt(7)) - (sqrt(2) + sqrt(128) + -2*sqrt(128))))**2.\nAnswer: 32912\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 7. Let q be p(7). Solve q*y - 2 = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:41 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, 3, -6, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/17 - 40*d\/17 + 38\/17.\nAnswer: 2*(d - 19)*(d - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/(-10))\/(98\/70).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.96428 (b) -0.4 (c) 0.4 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or 2?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 - 2*u - 8. Let l be p(-5). What is the third derivative of 214*n**l - 31*n**3 + 7*n**3 + 22*n**3 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-30))\/(39\/(-15))*13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 - 14240*v**2 - 328314*v - 1885752 = 0.\nAnswer: -12, -11, 7143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/20? (a) 0.02 (b) 0.3 (c) 4 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4 - 558*y**3 + 84501*y**2 - 1793372*y - 6155772 = 0.\nAnswer: -3, 29, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 568393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -12*n - 5*n. Calculate the common denominator of (9\/(-24))\/(2\/120) and n - 1\/(-6) - (-206)\/(-354).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 57*f**2 - 24354*f - 236840.\nAnswer: (f - 191)*(f + 10)*(f + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 4*s)*(-s + 2*s + s**2 - 3*s).\nAnswer: 4*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5203619 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228441 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) -370 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44 - 41) + 50 + 0. Solve -46*o = -c*o + 42 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776773579.\nAnswer: 776773579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/564690535 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + l**2 + 4*l. Let o(z) = -z**3 - z**2 - 5*z. Let d = 8 - 3. Calculate d*m(w) + 4*o(w).\nAnswer: 6*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 18. Suppose 2*p - g = 179. Let q = p - 98. Solve 12 - 6 = -q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let f(x) be the first derivative of -3271*x**2 + 10610. What is o(f(n))?\nAnswer: 6542*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16*h + 68. Suppose 0 = -56*o - 76*o - 12*o - 864. Calculate v(o).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 114. Let d(r) = -r**2 + 16*r + 17. Let w be d(14). Let v = w + -30. What is the remainder when s is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 0*y - 30 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 1 - (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -141, -177, -173, -117, 3, 199, 483?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = 0, -4*c - 170*s = -172*s - 42 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2 + 9\/2 + 39\/4*z - 4*z**3 = 0.\nAnswer: -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 23 = -4*b, -2*b - 4*x = -6*b + 12. Put 1, b, -4, -65 in decreasing order.\nAnswer: 1, b, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2571286ug in kilograms?\nAnswer: 0.0000000002571286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - ((73 - 27) + -64).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 4 - 67)*(-33*g + 110 - 110) as q*g + u and give q.\nAnswer: 2541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 64 = -42*z, -3*j + 2*j + 9 = 38*z - 36*z for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13 = 5*m - f, 2*m + 7 = 5*f. Let j(d) = -d + 13. Let g be j(5). Let l = g + -3. Sort m, -3, l in descending order.\nAnswer: l, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1887, -1857, -1779, -1629, -1383?\n\"Answer: 4*n**3 + 2*n - 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 32.99969. Round i to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11894 and 43194.\nAnswer: 820686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151256268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(768*x + 1931*x - 4730*x) + (-2 + 2 - 2)*(2 - 2 - 2*x) to y + d*x and give d.\nAnswer: 2035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 8) + -6 + -10 - (3 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + sqrt(17) + 0 + 3 + sqrt(17))**2.\nAnswer: -162 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*x - 40 = 8*u, -4*u = 2*x + 22. What is the closest to -2\/9 in 1, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 7, 12, -1\/5, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50264 and 1236.\nAnswer: 150792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66161*q**4 - 2*q**3*u + u - 109013 with respect to q.\nAnswer: 264644*q**3 - 6*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5081 - 13771713?\nAnswer: -13771707.4919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 2*w. Let n be v(-3). Let y = 127\/3 + n. Let g = 100\/11 + -102\/11. Which is the nearest to y? (a) -0.02 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 22025*t + 242167. Determine r(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Suppose 4*f = f - d*k + 14, -2*f - k = -11. Let r = f + -1. Solve 2*y = r*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/(-21))\/(2353\/1086)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, h: 1, t: 1, u: 1, c: 2, a: 1}. What is prob of picking 1 h, 1 u, 1 t, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 76 - 2b2?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-64)*20*4\/10\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/34)\/(1*-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - -6) + (0 + 4 - 1) - -1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3228*v - 3228*v + 9*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 5. Let m(y) = 0*y + 9*y - y - 3*y + 10. Let d be m(-3). Determine x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -16428318.\nAnswer: -1\/8214159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o - 4. Let f = -3258 - -3257. Give k(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.61 + -97.21. Which is the second biggest value? (a) -0.5 (b) 6\/167 (c) -0.3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -221002404 + -2?\nAnswer: -221002406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-2)\/18)\/((-163)\/(-489))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 2*q - 6. Let d be b(0). Let h(t) = t**2 + 7*t. Calculate h(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 11 + -27 - (0 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/5 + (-2)\/5. Let m = 35 - 32. Is m > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-17)\/(-7) - ((-24)\/(-7))\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8113 greater than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20) - 68\/5. Let b = -10 - g. Suppose -b*k + 3*k = -3. Solve -5*d + m = -0*m - 16, k*m - 6 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3800789*b**2 - 2518117*b?\nAnswer: -7601578","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 7192 - -21445. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 7*z**2 + 8*z - 7. Let f be l(6). Suppose -f*s = -w, -2*s = 6*w - 3*w. Solve u - 4*u + 6 = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = f - 2*f - 27, -3*f - 4*m - 16 = 0. Let d be 3\/f + (-56)\/(-6). Let c = d - 43\/4. Calculate the common denominator of 16\/3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -11\/8 (b) -0.12 (c) -0.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2, 3, -3222?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g**3 - 7*g**2 + 7*g - 8. Let s(o) = -5*o**2 - 3*o - 5 + 10*o**3 + 7*o + o. Let i(m) = -5*d(m) + 7*s(m). Differentiate i(h) wrt h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2508 + 5275. Is (8\/(8\/4))\/(2\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -37. Let g(u) = 31*u + 4. Let w(v) = v**2 + 3*v. Let x be w(-4). Let a be g(x). What is the highest common factor of a and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -430 + 3940\/9. Suppose 2*q = -0*q + 144. What is the common denominator of -3*(0 - (-15)\/q) and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524648967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from rsrisulurruisrrsrs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 381195 and 12.\nAnswer: 1524780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719699 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*o + 2559 + 5296 - 23267 = 12798 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 572 + -2287\/4. Sort 4\/11, 1.1, d in increasing order.\nAnswer: d, 4\/11, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379 + 127 = 36*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*g - 2493 = 0, -2*t - 3*t + g = -2494. Suppose -3*n + t = -92. Let o = 28 + n. Calculate the highest common factor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2542 and -431035.39?\nAnswer: 431036.6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 81057?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24326850 and 861975.\nAnswer: 218941650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538*m = 399*m - 9112 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -1.38.\nAnswer: 12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(-8))))\/l)\/l*l**6 assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2313, -2285, -2209, -2061, -1817?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13738915560243*x**2\/2 - 12840054*x - 6.\nAnswer: -3*(2140009*x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1900) + 0)**2 + (sqrt(152)\/sqrt(200) - sqrt(76)*2) + -3.\nAnswer: -19*sqrt(19)\/5 + 17097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -144 and 4624208.\nAnswer: 4624064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -263395\/8 or -32923?\nAnswer: -32923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2063 divided by 1.\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -18, -2, -0.04, 5.6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -121. Suppose -3*i = b - 8, -8 = -4*i - k*b + 4*b. Solve -15 = -i*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -725 - -724.8. Let s = 37\/10 + -21\/5. What is the closest to 0 in s, b, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*y - i + 95, -4*y + 5*i + 49 = 0. Let f be (-12)\/y - 7\/(-4). Solve 0*s - 2*s - 2*q + 6 = 0, -f = s - 3*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151\/44 - -24\/11. Let w be (-2 - -2) + 1\/(-5). Let s = 0.04 - 3.04. Put s, w, h in descending order.\nAnswer: w, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/120 - v**5\/10 - v**4\/12 + v**3\/2 + 2*v**2. What is the tens digit of y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (34 + -20)) + -34 + 2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let f be g(-5). Suppose 4*m - 25 = f. Let u = -8 - -15. Calculate the least common multiple of u and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47767 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17667 or -3497815\/198?\nAnswer: -17667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 2 - 2 + (2 - 3 - 1)*(-z - 1 + 1))*(-3*z**2 - 4553 + 4561 - 2*z**2 + (-4*z - 4 + 4)*(5*z - 3*z - z)) to l + d*z**2 + k*z + b*z**3 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 2\/13 (c) 3 (d) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 2*h - 59*h = 0. Solve -2*c + 11 = -3*j, h = 4*c + j + 26 - 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.013126.\nAnswer: -0.086874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*2 + sqrt(190))\/sqrt(10)*-6 + (-2*((1 + -1*sqrt(931) - sqrt(931)) + sqrt(931)))**2.\nAnswer: -38*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 553 = 3*w. Let k = w + 83. Solve 0*o + 3 = -g - o, k*o = 2*g - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1891 and 366.\nAnswer: 11346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.2, -2\/25, 5 in ascending order.\nAnswer: -0.2, -2\/25, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-496 + 20\/(-5))\/((-35)\/7 + 4). Suppose -q - 1 = l - 2, 3 = -l. Suppose -q*w = w - h. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50065.8 to the nearest 100.\nAnswer: -50100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**3\/3 - p**2 + p - 1. Let w be c(1). Put w, -4, -0.4 in increasing order.\nAnswer: -4, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2424*d**3 + 1 - 2423*d**3 - 2417*d**3 - 2439*d**3 + 9728*d**3.\nAnswer: 25*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 6 = -2*q. Let s = -23 - 1. Let h be s\/q*2 - -3. Put -5, -5\/7, h in descending order.\nAnswer: h, -5\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.836717 kilograms?\nAnswer: 3836717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s. Let j(k) = -k. Let u = -8 + 5. Let m(p) = -14*p. Let f(n) = -2*n. Let y(a) = -8*f(a) + m(a). Let w(q) = u*y(q) - 5*j(q). What is i(w(o))?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8233 - 35908. Let a = 28523.11 + g. Let k = -859 + a. What is k rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2404232 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16\/9 (b) -2\/11 (c) 1\/4 (d) 0.09 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3646360 and 9115900?\nAnswer: 18231800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i. Suppose 0 = -2*r - 5*b - 15, 6*r - 2*r - 12 = 4*b. Suppose 3*z = 4*g + 23 - r, 3*z + g - 13 = 0. Suppose 8*f - 3*f = z. Calculate y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 153.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15265 + 1?\nAnswer: 1.15265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4675*i + 2*i**3 + 8*i**3 - 4677*i as l*i + b + u*i**3 + y*i**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26164 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 8. Suppose -1752*b = -1761*b - 153. Let s(d) be the third derivative of 11*d**4\/24 - 23*d**3\/6 + d**2. Give b*v(j) - 6*s(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -1573.2597.\nAnswer: -1573.5597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100201 (base 3) to base 15.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3034.36891 - -3031.86. Let r = 150.49 - 153. Let q = n - r. What is q rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -45\/3814 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 + 0.18. Suppose -4*l - 8 = -0*l. Which is the closest to -1? (a) 5 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 - 3*d - 9. Let i(r) = -2*r**2 - r - 3. Determine 8*i(f) - 3*t(f).\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(152\/12)\/(-19)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*c + 2 - 3*c)*(238*c - 238*c + 35*c**2).\nAnswer: 35*c**3 + 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21 + (-80)\/(-8))*-3889 + -11.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 43 = 4*a, 581075*a - 581072*a = -11*u + 87 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -183a112 - 3?\nAnswer: -183a115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 5*h - 2. Suppose 3*p - 3*x = -8*x + 31, -5*p + 2*x = 0. Let j(z) = p*z**2 - 4 + 2 + 0 - 4*z + z**2. Give -4*d(y) + 5*j(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*d**3 - 157*d**3 - 368*d**3.\nAnswer: -649*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 12 = -5*n, z - 15*z = -2*n + 104 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 347 = 107. Suppose -2*u - 5*n = -0*u - 29, 0 = -3*n + 15. Sort u, 3, y in decreasing order.\nAnswer: 3, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12539 - 12591.09. Let w = k + 53. Let x = -0.09 + w. Round x to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3200) + 0 + 3 - (sqrt(50) + (sqrt(50) - (1 + -1*sqrt(50))) + -3)))**2.\nAnswer: 150*sqrt(2) + 1259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -258548845 rounded to the nearest one million?\nAnswer: -259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59620 and 10120?\nAnswer: 2742520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14*w - 1. Let r be g(-1). Suppose -5*f + r = -12. Let v = f - -8. Solve -4*d + 0*t + 4*t = 8, 3*t - v = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 42, 2437, -6, 4, 5, -1.\nAnswer: -6, -1, 1, 4, 5, 42, 2437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/3 - 28*x. Let c = -4 - -1. Let z(k) = k. What is c*i(a) - 7*z(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - 35) + 0 - (0 + 0 - (11 + -10)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 11:16 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17320, -69290, -155900, -277144, -433016, -623510, -848620, -1108340?\n\"Answer: m**3 - 17326*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + o = 6*n + 5, -o + 3 = -3*n. Let q = 13 + n. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 2*t**2 + 4*t + 2. Let i be v(-2). Suppose u - 3*k = 8, -u + i = 4*k - 5. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 8*y**2 - 8*y + 9. Let x = -1 + -8. Let h be w(x). Suppose -3*v - p + 94 = h, v - 34 = 3*p - 2*p. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-8)*(-36)\/(-27). Suppose -4*k - t = -735, 4*t = -k + u*t + 186. What is the highest common factor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -72\/7 (c) 1\/81 (d) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-128)*((-23870)\/19096)\/(15\/(-8))\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.3212 + -0.06345?\nAnswer: 70.25775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1944, 216?\nAnswer: -1944","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 - 6*n - 1. Is 5 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 4*q - 6. Suppose 4*f - 2*f - 8 = 0. Suppose -f*n = 10 + 2. What is the tens digit of b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 20 = 4*y. Let w = y - -12. Is 16 a factor of (36\/(-15))\/(w\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.174 - -0.174. Which is the nearest to 1\/6? (a) -5 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371818012?\nAnswer: 2, 41, 631, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5*y**4\/48 - 65*y**3\/6 - 845*y**2\/2 - 157*y. Factor k(n).\nAnswer: -5*(n + 26)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y - 59. Let u be a(10). Solve 6*w - u - 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 380 = 4*t - 356, 18 = t + 2*y. Let j = -27 + 18. Let s be (-42)\/j - 1\/(-3). Solve -t*w + 7 = u, 0 = -s*w + u + 17 + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - -47 - 106) + (-53 - -1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101111010100 - -10?\nAnswer: 1000101111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 4) to base 13\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {a: 2, o: 3, l: 9, y: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3420260380 to the nearest one million.\nAnswer: -3420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*v - 4, 2*v - 5*v + 10 = 4*t. Differentiate t + q**2 - 2*q**2 - 3*q**2 with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 6. Let m be 2\/(-6) - 22\/(-3). Let q be v(m). Suppose -128 = -3*p - q. What is the remainder when p is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8257*f + 363333. What is i(44)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.383 + -0.5.\nAnswer: -79.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23723967*i**2*u**3 - 16*i**2*u**2 - i**2 + 10446*i*u - 10*u**2 + 2 wrt u.\nAnswer: -142343802*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 10, k: 3, a: 2}. Give prob of sequence kkv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34287461 to the nearest integer?\nAnswer: 5856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.60061 - 73.\nAnswer: -71.39939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -j + 9, j + 35 = -4*j + 5*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.4 + 4.576. Let b = a - 0.1760123. Round b to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - 45. Let q = 105 + j. Solve -6 + q = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0359 - 3.0359. Let l be (0 - -2)\/2*2. Put -0.05, r, l in descending order.\nAnswer: l, -0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 3535*s + 392642. Calculate r(-138).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.24. Which is the nearest to -1\/3? (a) 4 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 2, f: 4, d: 3, x: 1}. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 6*d**2 - 12*d - 14. Does 12 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6851697.\nAnswer: 3, 17, 37, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 659.663669 to 1 decimal place.\nAnswer: 659.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64 + 25?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - u - 4. Let l(v) = 3*v**2 + 2*v + 5. Let b(a) = 9*a + 168. Let o be b(-19). Calculate o*l(c) - 4*q(c).\nAnswer: -c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36966, -36967, -36968, -36969?\n\"Answer: -g - 36965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -32. Suppose 5*x - 3059 = -q*m, -x + 16 = 3*m - 601. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 - 42*t**2 + 88*t - 32. List the prime factors of g(19).\nAnswer: 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*u**4 + u**2 - 2*u + 98 wrt u.\nAnswer: 984*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29631641 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 2*o + 12. Let p be l(5). Let v = -24 - p. Suppose v + 67 = z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 - 185 - (-4 - -41).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 11 + 9, 13*n = 5*q - 55 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168769 + -248491. Round v to the nearest one thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -3*a**3 - 2*a**2 - 6*a + 1148. Let c(k) = 19*k**2 + 9*k + 13. Give -4*c(v) - 9*x(v).\nAnswer: 5*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15347 + -14102. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 12*u**2 + 4*u**2 - 2*u**2)*(-46 - 2*u**2 + 101 - 49) in the form k + n*u + h*u**3 + w*u**2 + j*u**4 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**3 - 4*i + 4*i + 32001086 - 32001086 - 14*i**3.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(19)*-3*-6 + (sqrt(304) + 3)*-3 + sqrt(304))**2.\nAnswer: 2088*sqrt(19) + 255745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2025 + -80999\/40. What is the closest to 0.3 in 0.1, l, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1581\/(-36) + (11 - 6*(-30)\/(-36)). Does u = -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 0. Suppose 3*x + v - 40 = 5*i, x - 38 = -5*i. Solve -5*b - 4*b - x = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9638*h**3*w*y**3 + h**3*y**3 - 102244*h**3 + 754*w**4*y - 16*y**3 wrt w.\nAnswer: 9638*h**3*y**3 + 3016*w**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4108593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 10. Suppose -k = 3*r + 7. List the prime factors of (-4)\/r - (-1104)\/36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = -16. Differentiate 5*r**3 - 8 - 17*r**i + 4*r**3 wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -31. Let h = 31.53 + -31.5. What is the second smallest value in -0.4, x, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, i: 4}. What is prob of picking 2 v?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/153)\/(56\/98*7).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(4\/(-12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3\/4*u**4 - 3\/4*u - 3\/2*u**3 - 3\/20*u**5 + 3\/2*u**2 - 17. Find g such that a(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*y - 20 + 20)*(3*y - 5*y - 4*y)*(-4*y**2 + 12*y**2 - 15*y - 9*y**2) to the form u*y**3 + w*y**2 + s*y + d + r*y**4 and give r.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*k = 20, 4*k = -857*n + 860*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179743 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 63*j**2 - 455*j - 213. Calculate g(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-11)*h*h)*h)\/(h*h*h*h**(-3)))\/((h\/h**(-10))\/(h*h\/((h*h**1*h)\/h))) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) + sqrt(22)\/((sqrt(11) - sqrt(77)\/sqrt(7)) + sqrt(11)))**2 + sqrt(128)\/sqrt(196) + 3.\nAnswer: 4*sqrt(2)\/7 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17048, -136456, -460692, -1092212, -2133472, -3686928, -5855036?\nAnswer: -8740252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(-3\/29))**(-3)\/(((g**(1\/4)*g)\/g)\/g**(-1\/4)*(g\/(g**(-2\/15)*g))\/g**7) assuming g is positive.\nAnswer: g**(38233\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*n = -19, -4 + 11 = 4*j + 3*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*x - 3*p - 5 = 196*x, -5*x - 5*p = 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d\/d**5)\/d*d)*d*(d*d**(5\/6))\/d)\/(d**(-3\/5)\/d)**(-2\/49) assuming d is positive.\nAnswer: d**(8479\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x**2 - 6*x**2 + 9*x**2 - 3 to the form i*x**2 + w*x + g and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/64395 and 26\/250425.\nAnswer: 2253825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58\/5? (a) 4 (b) -173\/6 (c) -3\/2 (d) -1\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/4)\/c)**(-26)\/(c**7)**(-9))**(-29) assuming c is positive.\nAnswer: c**(-6293\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671959 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 67137922 - 67137922.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(2 + 3 - 1)*(s**4 - 5*s**4 + s**4).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2982552 not equal to -2982553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + 5*sqrt(78))*-2)\/sqrt(6) - ((sqrt(468)*-5)\/sqrt(9))\/sqrt(4).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005814 is divided by 646.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.11 (b) 1\/8 (c) -1\/5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 3*h**2 + 5*h + 4. Let k be g(-4). Solve -4*d + 0*d - 8 = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u - 15 = 0, -q = -5*u - 28. Suppose -4*j - 3*b = -q*j - 203, 3*b = 5*j - 1051. Calculate the greatest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i + 1. Let l(k) = -9*k**4 + 2*k**3 + 2*k - 3. Let j(w) = -l(w) + 2*s(w). What is the derivative of j(x) wrt x?\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172.9 + 174. Let p(r) = -2*r**3 - 28*r**2 + 3*r + 43. Let i be p(-14). What is the smallest value in -0.1, s, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 788*c**4\/3 - 305*c**3\/3 - 2757*c. Find the second derivative of y(x) wrt x.\nAnswer: 6304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 1 + 5. Let t be 1 - 1\/((-2)\/l). Let s be 38\/1 - (0 + t). What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = 2*a, -a - 5 = 5*t - 14. Suppose -5*s + 30 = -5*b, -5*s + 3*b = -a - 27. Does 18 divide (-2)\/6 - (-336)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 25*b + 2*b**2 - 25*b. Let c(t) = -108*t**2 + 78*t**2 + 75*t**2 + 33*t**2. Determine v(c(g)).\nAnswer: 12168*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*f = -44, 3*l - f - 82 = 4*f. Suppose 0 = m - l + 10. Suppose 2*w + m - 39 = 0. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.335 - 86.435. Let t = y + 72. Round t to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 150.46 and -1800.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/72429 and 19\/30.\nAnswer: 724290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -18. Let d be (2\/3)\/(22\/(-6)). What is the closest to 0.1 in 0, f, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 9*s**3 + 8 + (0 - 6 + 1)*(-5*s**3 + 4*s**3 - 2*s**3) + (0 + 0 - 1)*(0*s**3 - 5*s**3 + 3*s**3).\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 20, -2*j + 4*j = 2*v + 8. Let f(u) = -5*u - v - 2*u + 4*u. Let y be f(-4). Solve 4*q - 13 = -3*o, 3*o - y = -0*o - 2*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p - 5*p - 65 + 64 + p**2 - 11*p**3. Let t be q(-1). Let y be (-4)\/(-6)*75\/t. Solve y*w + 0*w + 29 = 2*x, -1 = 2*x + w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 - (3 - 16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63513, -4, -1 in decreasing order.\nAnswer: 63513, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 80.039. Let p = k + 0.038871. Round p to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 749016 and 15656.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22846332546004 and 3.\nAnswer: 22846332546007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.0346 (c) -5 (d) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-3))\/(c**(-2\/23)\/c))\/(c\/c**(-11)*c\/(c*c**(1\/21))))**(-1\/36) assuming c is positive.\nAnswer: c**(829\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14308 is divided by 318?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (141 - 168) + -1 + 55 + 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3570.743 millilitres to litres.\nAnswer: 3.570743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22996?\nAnswer: 2, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5411733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3549 + -3548. Which is the biggest value? (a) 0.78 (b) -3 (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.016, 6.3, -3, -0.061 in decreasing order.\nAnswer: 6.3, -0.061, -1.016, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.20946l in millilitres?\nAnswer: 77209.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)*l**10)**(-13\/6) assuming l is positive.\nAnswer: l**(-611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**8\/1176 - z**7\/49 + 4*z**6\/35 - 22*z**5\/105 - 109*z**2\/2 - 128. Let j(p) be the second derivative of g(p). Factor j(h).\nAnswer: 2*h**2*(h - 11)*(h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11121 - 3001?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -386622 less than -104.3?\nAnswer: 386517.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/4238 + 686611\/233090. Let t = w + -12\/5. Which is the smallest value? (a) -5 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 2 (c) -2 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245270.\nAnswer: 2, 5, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -18981.74288 to the nearest integer.\nAnswer: -18982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 18 = -a + 4*a, -q = -5*a + 28 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(-2*sqrt(500) + sqrt(20) + 3))**2.\nAnswer: -720*sqrt(5) + 6580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -50. Differentiate -15 - 12*l**4 + 9*l**4 + 22*l**n with respect to l.\nAnswer: 76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 928 + -379. What are the prime factors of k?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 52 - 32. Let g be (c\/(-10))\/((-2)\/(-20)). Suppose 810 - 922 = -8*d. Calculate the greatest common divisor of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f + 24*f - 15*f - f**3 + 1 + 9*f**2 to the form w*f**3 + u*f**2 + x*f + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1155*f + 114. List the prime factors of o(4).\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**2*j**3*z + 3*c**2*j**3 + 3*c**2*j + c*j**3 + 2*c - j**2*z + 2*j*z wrt c.\nAnswer: -8*j**3*z + 6*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-737240)\/(-42) - 7\/63*3?\nAnswer: 3, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94837.08nm in meters?\nAnswer: 0.00009483708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -2*t + 6*t + 4*x, -x = 4*t - 111. Calculate the least common multiple of 6 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34770 and 3135?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1088017 millennia?\nAnswer: 1305.6204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -14104224021?\nAnswer: 14104224013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, h: 9, o: 3}. What is prob of sequence hoio?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8473122 and -1.6.\nAnswer: 8473120.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*b**3 - 487*b + 486*b - 70*b**3.\nAnswer: -129*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.54 + 5. Let u = -123 - -122.4. Let n = d - u. Sort n, 5, 2 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.8 + 43. Suppose 0 = 7*q + 15*q. Sort -37, 0.1, q, p.\nAnswer: -37, q, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7985663 by 1140809.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m - 112 = 0. Let r = 200 - 172. Calculate the greatest common factor of m and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2510499950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 + 123096*i**2\/5 + 123089*i\/5 - 147714.\nAnswer: (i - 2)*(i + 3)*(i + 123095)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*z + 4*w, 3*z + 4*w - 6*w - 14 = 0. Suppose 2*o = -z*u - 2, 2*o - 2 + 0 = 0. Let q(j) = 6*j**3 + j. What is q(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 3*f - 1. Let z = -1 - -3. Let x be h(z). Suppose 2*s = -3*b + 3, 0*b - 5*s + x = 2*b. Which is smaller: b or -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28904 + -28669. Solve -p = 6*i - 187 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8979\/(-9636) - (-3)\/4)\/(0 + (-1)\/77)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 103 = -20*x. Let s = x - 85. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-63) + (-2)\/(-7). Let c = 0.9 + -1.4. Put c, t, -2 in ascending order.\nAnswer: -2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/90 and 76\/8793.\nAnswer: 87930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t**3 + 3*t**2 + t + 55. Suppose -63 + 231 = -28*f. Is b(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4364 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 2, w: 3, m: 4, h: 2, k: 3}. What is prob of picking 1 w, 1 j, and 1 h?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**7\/840 - 7*p**6\/80 + 3*p**5\/4 - 23*p**4\/12 - 2*p**2 - 74*p. What is z in n(z) = 0?\nAnswer: -46, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 935, 12754, -4 in ascending order.\nAnswer: -5, -4, 2, 935, 12754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.526897 litres to millilitres.\nAnswer: 1526.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -157 + v**2 + 2*v**2 - 86*v - 168 + 355. What is the tens digit of h(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4779 = 18*f + 82*f + 77*f. Solve 5*t - 3*t = 3*z + 3, f = -5*z - 4*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23618*k + 15194 = 23476*k for k.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 532, 1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346074 by 1.\nAnswer: 346074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 243, -5, 154 in descending order.\nAnswer: 243, 154, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, 1, -78, 2.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + x + 17 = 0, 0*k - 24 = -k + 4*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 0*u**2 - u**2 - 35*u**3 + 60 + 3*u**2 - 2*u - 4*u as o*u**2 + k + g*u**3 + r*u and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6 + 1 - 4*j**3 - 3*j**2 - 4 - 6*j + 0. What is the hundreds digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.4322 + -1696784.\nAnswer: -1696792.4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + x**2 + 0*x**2 + 0*x**2. Let n be y(-1). Let l be (-12)\/9*3 + 2. Is l greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*r**4 - 2*r**3 - 50*r**2 - r + 79.\nAnswer: 4872*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:11 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 23*f - 67*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b + 1. Let k be f(4). Suppose -2*s + 31 = 5*g, g + g - k = -3*s. Find the first derivative of -s*r**4 + 1 + 3*r**4 + 12 + r**4 wrt r.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 35 + 18 - 4427*m + 2912*m to i + r*m and give r.\nAnswer: -1515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c**2 + c - 2. Let t(m) = m**2 + 2*m - 1. What is d(n) - t(n)?\nAnswer: -16*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 - (-33 - (-9 + -18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45375701039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 take away 140?\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 31 = -3*x - 4*w, 0 = -4*w - 8. Let c be 24\/x*3\/(-2). Let n(r) = r + 7. Let m be n(-3). Solve -m*q - 4 - c = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (-19)\/(19\/(-10)). Suppose -232 = -4*g - 4*y, -3*g = -y - 31 - 127. Suppose b = 3*l - 6, -i = -3*l - g + 12. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014137 is divided by 5855?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 94 = -o - o, -290 = -3*h - 2*o. Calculate the greatest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1\/6 - (9\/3 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b\/(b*b*b**14)))\/(b**(3\/4)\/b*b**(-2\/13)) assuming b is positive.\nAnswer: b**(957\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/3 + 208*b**2\/3 - 800*b\/3 = 0. Calculate b.\nAnswer: 0, 4, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 b when three letters picked without replacement from {z: 1, j: 4, b: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*((n**(-1\/2)*n)\/n)\/n*n*n*n)**(-4)*n**(-5\/6)*n\/(n**3*n))\/(n**(-3)\/n**(-3\/4)*n**0*n**(-5)) assuming n is positive.\nAnswer: n**(-127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let m = -2101 + 16811\/8. Sort z, m, 0.2, -4 in increasing order.\nAnswer: -4, 0.2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23018281.\nAnswer: 11, 13, 160967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (23 - 6) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 7*f + 28. Find the first derivative of f + 26*z**3 + 4171*z**2 - 4171*z**2 wrt z.\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g + 8. What is the highest common factor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + 0 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.540547 millilitres to litres.\nAnswer: 0.006540547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99)\/sqrt(3))\/sqrt(3) + (-3*(sqrt(22)\/sqrt(2) + sqrt(11) + -5))**2.\nAnswer: -184*sqrt(11) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175796347 by -4.\nAnswer: 175796347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 10. Let v = 6865.1 - 6868. Put 5\/2, v, -0.4, s in descending order.\nAnswer: 5\/2, -0.4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/2403513 and -137\/534114.\nAnswer: 4807026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*i**5 + 0*i**2 + 8*i**3 + 3*i**3 - 36*i**4 - 2*i**3 + 6*i**2.\nAnswer: 3*i**2*(i - 1)**2*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuooquuuqou. What is prob of picking 3 o?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 5*m - 9. Let t be v(3). What is the highest common divisor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -2.09 (c) 4 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgppppgppppppgpppppg. Give prob of sequence gppp.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(27\/(-7) - -4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1258 and 10?\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.3 (b) -1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1684753020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -421 in 0.38, -2\/7, 0, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21 - 19 + 40 - 3*r. Let b(n) = 10*n**2 - 16*n. Let m = 4 - 1. Let p(h) = -2*h**2 + 3*h. Let i(l) = m*b(l) + 16*p(l). Determine i(f(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1521.36 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19447 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924116961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h - 127 + 12*h - 21*h - 63 as t + n*h and give t.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 172, -1, -2, 5 in ascending order.\nAnswer: -2, -1, 0, 5, 16, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5628.5 + -5628. Sort a, 0.8, -9, 5, -2\/7 in decreasing order.\nAnswer: 5, 0.8, a, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 130.007?\nAnswer: -1430.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5*d + 5. Let v be i(-4). Let u = -2 - -3. Let n be (2 - v)\/(u\/2). Solve -2 = n*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**2*n - 39360*j**2 + 3*j*n**2 + 26*n**2 - 959*n - 170 wrt j.\nAnswer: -2*j*n - 78720*j + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -17677376.\nAnswer: 7\/4419344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x + x**2 + 4*x - 19*x as q*x**2 + k*x + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 5 + 8*q**3 + 6 + 7*q + 2*q**3 in the form x*q**2 + j + p*q + z*q**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f**3\/2 - 5*f**2 - 8*f = 0. What is f?\nAnswer: -8\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlzflrhrh. What is prob of picking 1 h and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**4*k**2 - 508612*i**4*k + i**3*k + 2*i**2*k**2 + 131674*i**2 wrt i.\nAnswer: 72*i*k**2 - 12206688*i*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (0 - -12 - (828 + -901)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811703657?\nAnswer: 811703657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7990035725.\nAnswer: 5, 7, 307, 148721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813687 != 47832673\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**3 + 3*o**2 + 3*o**3 - 8*o**3 + o**4 to q*o**3 + x*o**4 + z + h*o**2 + d*o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5317\/126 - 19\/63. Calculate the common denominator of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149 times 8.8067\nAnswer: 1312.1983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -68836004 != -68836004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((36\/(-16))\/(-9)). Suppose 4*h - 2*h + n*k - 72 = 0, 5*k = h - 1. Suppose -f - h = f. Which is greater: -14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 + 10*k**2 - 2*k.\nAnswer: -2*k*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(108) + sqrt(108)*1)**2 + -1 + sqrt(108) + 0 + 0 + 1*(((sqrt(12) + sqrt(108))\/sqrt(4))**2 - sqrt(108)*-2).\nAnswer: 18*sqrt(3) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2114*c = -2117*c + 145, -7*b - 5*c + 249 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (4 + -2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/111 and -10\/17?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 360206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -2. Suppose z*y - m - 3172 = 0, -226 = -y - 3*m + 402. Let w = y + 28. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 556684*i + 5566835. Calculate a(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 + 88. Give s(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1047536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let x be (-4)\/18*-6*(-180)\/(-48). Sort n, x, -5.\nAnswer: -5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1310?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/15 (b) -0.3 (c) -5 (d) 0.5 (e) 3635\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -433356*z + 465508 wrt z?\nAnswer: -433356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*h**2 + 238*h**2 - 6*h + 6*h to n*h + s + d*h**2 and give d.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -1 + 1)*-2. Suppose -y*u = -4 - 4. Find the first derivative of 3*s + u + 2*s**4 - 3*s wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07143 - 0.15743. What is the fourth smallest value in -2\/7, 2, t, -0.2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -565\/651 - -6\/7. Let r = z + -259\/1860. Let q = -2 - -2. Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*d - 287 + 287.\nAnswer: 244*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*p + 21, 4*q + 5*p - 10 = 25. Let s = q + 5. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-6 + (-8 - (0 + -2 + -4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/5)\/(-1))\/(-6*8\/960)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f. Let v(w) = -2*w + 0*w - 2*w + 0*w. Let m(q) = -3*u(q) - 4*v(q). Let y(n) be the second derivative of -49*n**3\/6 - 3*n - 1. Give m(y(r)).\nAnswer: -49*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 7, l: 1, o: 8}. Give prob of picking 1 f and 2 s.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/42)\/(18\/24)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -3432?\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2)*p))**(-1\/23)\/(p\/(p*p**(-2\/5)))**(-43) assuming p is positive.\nAnswer: p**(1968\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -72350*s**3 + 52*s**2 - 539*s - 20. Let b be v(20). What is b rounded to the nearest 1000000?\nAnswer: -579000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(-3 + 2 + -5 + sqrt(320) + sqrt(320) + sqrt(320) + 0 + sqrt(5)*2 + 2)**2.\nAnswer: -10186 + 624*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4 - 6*s + 2*s**2 - 2*s**2 + s**2. Let z be q(7). Which is the second smallest value? (a) 1 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4\/5 + 44*a**2\/5 - 72*a\/5 + 32\/5 = 0 for a.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.07, 4, -0.33?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1856189680599 - 0.5.\nAnswer: 1856189680598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gom when three letters picked without replacement from ahamhmagkoho.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:34 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*l**3 - 156*l**2 + 83*l**2 + 60*l**2 to the form j*l**3 + f + a*l + r*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d*n**4 - 12*d*n**3 - 2*d*n**2 + 53155*d + 91*n**4 - 1 wrt n?\nAnswer: 120*d*n - 72*d + 2184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10770661 is divided by 1470?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 670 and 16 + (16 - (38 - 10)).\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 15*m**2 + 32*m - 31. Is 9 a factor of x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (4 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 10*x - 22. Give g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*y + 681*y - 234*y**3 - 67*y**3 - 340*y.\nAnswer: -301*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -540023.\nAnswer: 2\/540023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -1\/4, 30, -2\/585?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -25, -7, -4, -1, -0.5.\nAnswer: -25, -7, -4, -1, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, b: 11}. Give prob of picking 3 b and 1 k.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d. Let h(i) = -52*i - 2. Give h(f(b)).\nAnswer: -416*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -4 + (5 - -34) + -39\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 5:10 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -15556?\nAnswer: -19\/15556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -13.33?\nAnswer: -13.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eab + 13?\nAnswer: ebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4))**(-18\/5)*(f*f\/(f\/(f\/(f\/(f**(-9)\/f*f)*f))))\/f**(-12) assuming f is positive.\nAnswer: f**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 9*f + 3. Let w be c(-9). Suppose -1 = -2*z + w. Let v(h) = -h**3 - h**2 - h + 3. Let k be v(0). Is z greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 7*s + 1. Let y(i) = -2*i - 2. Let n be y(-4). Let q be t(n). Sort 3, q, -3 in ascending order.\nAnswer: q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 1. Determine g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -12*f**6 + 127*f**3\/3 - 68. Find the third derivative of j(c) wrt c.\nAnswer: -4320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 16*q - 9. Let w be g(-15). Suppose x - 10 + w = 0. Suppose k - x*u = -0 + 6, -2*k = u - 3. Solve k + 3 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 plus -3.5?\nAnswer: 81.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, -1, 84, -3 in ascending order.\nAnswer: -3, -1, 1, 17, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**3 + 10*m**2 + 15*m + 19. Determine a(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1355 + -1611. Is -1021\/4 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*j**2 + 9*j**5 - 134*j**2 + (j**3 - j**3 + j**3)*(-3*j**2 + 3*j**2 - j**2) - 2 + 2 + 2*j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*-4 - (0 + 163). Let u = -146 - o. Calculate the remainder when 45 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253 divided by 23\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + 87 - 175 - x + 60*x**2 - 2*x**3 to the form a*x**3 + w + t*x**2 + p*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2156)\/(-44) + -47 - 11*4\/14?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*n**2 - 452*b*n*s - 525*b + 59028437*n**2*s - n*s with respect to b.\nAnswer: -n**2 - 452*n*s - 525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 910 and 233870.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12786 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20216 and 714.\nAnswer: 1031016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -39. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 41. Let a = 5 + g. Suppose 0 = 4*n + 3*v - 24, -n - a = n - 5*v. Solve -4*d + 0 = 5*t + 1, 5*d + n*t + 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.99 - 3.69. Put 0.02, -0.3, -1, g in descending order.\nAnswer: g, 0.02, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2783070 and 22470?\nAnswer: 19481490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 16. Let g be 0 + ((-26)\/(-14) - l). Which is the second smallest value? (a) -1\/3 (b) g (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*d**3*f**2*r**2 + d**3*f + 11912*d**2*f**2 + 43*d**2*f*r - 7907*d*f**2*r**2 + d*f**2 wrt r?\nAnswer: 100*d**3*f**2 - 15814*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47657 and -0.0568.\nAnswer: -2706.9176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 728, 1717, 3222, 5501, 8812?\nAnswer: 13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 3. Let y = 28 + -27.8. Which is the nearest to -2\/3? (a) y (b) d (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47*11\/47 - (-1)\/((-1)\/54).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.897091ml in litres?\nAnswer: 0.000897091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (sqrt(700) + -1)**2 + sqrt(700))*-5 - ((sqrt(70) - (-1*sqrt(70) - sqrt(70))*-6)\/(sqrt(10) + -3*sqrt(490)))**2.\nAnswer: -1388847\/400 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**2 + 94*i + 15. Give y(8).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3714*u - 5682. What is f(-2)?\nAnswer: 1746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -5 - (-8 + 16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -29. Suppose a = -14*b + 87 - 17. Suppose -5*t + 6*l + 6 = 2*l, -3*t + l + 5 = 0. Put 6, b, t in increasing order.\nAnswer: t, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 12*f - 28 = 0, z + 1892*f + 0 = 1889*f + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -616\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17044288 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -30*d - 4211. What is l(-143)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*(-312)\/16. Which is the third smallest value? (a) s (b) 1\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -9*k**5\/5 - 28743*k**4\/5 + 9608*k**3\/5 + 83016*k**2\/5 - 89424*k\/5 + 25552\/5 = 0.\nAnswer: -3194, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - v**2 + v**2 + (-5*v**2 + 3*v**2 + 0*v**2)*(0*v - v - v) + 2*v**3 + 5*v**3 - 2*v**3 + 11*v**3 + 8*v**2 - 8*v**2.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 404, -0.5, 2, 2\/9, 1\/10 in increasing order.\nAnswer: -0.5, 1\/10, 2\/9, 2, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 40930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 1 + 3*r**2 + 1 as b + q*r**2 + x*r and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l = -3*c + 16, -2 = -4*l + 3*c. Let r = 232 - 242. Let m be (-4 + 19)*(-4)\/r. Solve -p = l*p - m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6 + 7*k**3 + 15*k**2 - 5*k?\nAnswer: -120*k**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7679 is divided by 160.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Let r be (o\/(-4))\/((-2)\/8). What is the remainder when (r\/(-8))\/((-2)\/4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 9*u**2 - 10. Calculate t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17592137595 and 14630.\nAnswer: 17592152225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6046010 to the nearest integer?\nAnswer: 2459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 511\/6. Let b(q) = q**3 - 7*q**2 - 7*q - 9. Let y be b(8). Is g less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:41 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837944557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/14 and -119\/200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8987, 17960, 26933?\nAnswer: 35906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.253245g?\nAnswer: 7253245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = -5*n + 45, -3*z + 2*n = -25. Let d = 124 - 115. Calculate the highest common factor of z and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w - 3 - 1 + 4. Let t be y(1). Does 16 divide 3*7*t\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v**2 + 2*v - 7. Let c(a) = -6*a**2 + a - 3. Let i(b) = -7*c(b) + 3*t(b). What is i(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.7702384 * 5.\nAnswer: -113.851192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(252) - sqrt(7)))**2 + sqrt(7) + sqrt(343) + 3.\nAnswer: 8*sqrt(7) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 8515680.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.53 - 0.33. Let l be (-7)\/5 + (-2)\/(-5). Which is the closest to l? (a) -1\/4 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2\/15, 230, 2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-78)\/104)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -639 - -656. Solve -u = 4*g - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -441556205 + -1?\nAnswer: -441556206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 116146, 116092, 116038?\n\"Answer: -54*q + 116200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20902215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -108, -244, -434?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1. Let d(y) = -5*y**2 - 2*y - 4. Give -d(g) - 5*f(g).\nAnswer: 5*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = 5*i, -5*i = 3*m - 2*m + 7. Sort -2, -5, -1, m in increasing order.\nAnswer: -5, -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07315291112 less than 0.5?\nAnswer: -0.57315291112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*a*f**4 + a*f**3 + 53*a*f**2 + 3*f**4 - f**2 + 3*f wrt f.\nAnswer: -4128*a*f + 6*a + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -610847, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8522 + 8523. What is the nearest to 0.2 in u, -2\/7, -34?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.594 rounded to one decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(57)*1)\/(-1*sqrt(75)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(84)\/(sqrt(48)*1)*-2.\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11127 - 9774. Calculate the highest common divisor of r and 1968.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828964, 828951, 828938?\nAnswer: 828925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 3, t: 1, v: 3, u: 1, j: 2}. What is prob of picking 1 u and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 44*s + 32. Let q(g) = g**2 + 7*g + 1. Calculate i(v) - 7*q(v).\nAnswer: -2*v**2 - 5*v + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/9*3)\/(7\/315). What is the greatest common divisor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1388 + -1392. Sort -2, u, 4, -3, 1 in increasing order.\nAnswer: u, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 7*s - 8*s. Let d = -105 + s. What is the units digit of 2*(d\/(-2))\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922967421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 82 - 218 = 26*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41299901 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 35*d**2 - 34*d - 70. Let t be a(36). Suppose t*k + 6090 = -2*w + 4*w, 0 = 4*w + k - 12170. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -11 - 5) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q*s**3*y**3 + 17860*q*s**2*y**3 + 242*s**3*y + 2*s**2*y**2 + 9*y**3 wrt q?\nAnswer: -3*s**3*y**3 + 17860*s**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 + r + 77. Let i be l(0). Suppose -5*g - 3*f + 105 = 0, 3*g - 2*f - i = -f. Let p = g - 9. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15553 + -15548. Solve 13*w - 21 = -5*o + 14*w, u*o - 24 = 4*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1 - (-6 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 18. Suppose -2*d - n*l + 46 = 4, -5*d = 5*l - 90. Suppose 5*p + 5 - d = 0. Sort -3, -5, p in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73459040 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*w + 139*w - 7 - 13*w + 21*w - 2 in the form n + o*w and give o.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.12 - 0.12. Let z = -181 + 109. Let n = 73 + z. Put n, b, 0.4 in descending order.\nAnswer: b, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 70*l\/11 + 248\/11.\nAnswer: 2*(l - 31)*(l - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 - r**4\/3 - r**3\/3 - 5*r**2\/2 + 8*r. Let y be z(4). Put 2, 5, y in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let g(h) = h. Let v(z) be the third derivative of -z**4\/12 - 12*z**2. Let d(b) = -5*g(b) - 5*v(b). What is d(y(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 3 - 2*l**2 - 10*l**2 - l**2 + 8*l**2.\nAnswer: -5*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -9. Let j = a + -5.0004. Round j to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4110, -4064, -4018, -3972?\n\"Answer: 46*f - 4156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**3 - 5*y**2 + 6*y + 5. Let o(f) = -28*f**3 - 18*f**2 + 20*f + 16. Calculate -10*k(h) + 3*o(h).\nAnswer: 6*h**3 - 4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (19 - (43 + 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t. Suppose t = -l - 2*l + 78. What is the remainder when 108 + -6 - (0 - 0) is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 715, 1849, 3739, 6385, 9787, 13945, 18859?\nAnswer: 24529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 750995 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 28. Suppose 15 = -0*g + 3*g + 3*r, -3*g + 20 = -2*r. Put f, g, 4 in decreasing order.\nAnswer: g, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/36)\/((-5)\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 24*v**2 - 3765*v + 3763*v + 11)*(-1 - 3 + 5 + (4 - 3 + 0)*(1 + 1 + 2) + 4 - 3 - 2).\nAnswer: 112*v**2 - 8*v + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose -b - 1 = -x. Find the third derivative of 2*v**x + 4*v**2 - 3*v**2 + 0*v**2 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053076 to four dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y + 57. Determine j(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26690 - 13310 = 643*j - 89 + 21817 for j.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -63004042 divided by 31502021?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -4.341\nAnswer: 1.3023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 - 6*w - 3. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -279 + 5581\/20. Let l(h) be the third derivative of 0*h + 0*h**3 - i*h**6 + 1\/6*h**4 + 2*h**2 + 1\/30*h**5 + 0. Factor l(k).\nAnswer: -2*k*(k - 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, -0.08, -0.2, -1, 0.021, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-14))\/(95\/(-8 + 3) + (-64321)\/(-3437))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 5*r**2 - 2*r - 19. Let f be c(-5). Let n be 2 + 3\/(f\/8). Let x = -3.6 - -4. What is the second biggest value in x, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l + 0*l - 2*l + 5*l - 2*l + (2 - 2 + 1)*(-2*l + 0*l + 0*l))*(-l**4 + 4*l**4 - 2*l**4) - 2 + 2*l**5 + 3 + 1.\nAnswer: 4*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2714\/77 < -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94211 divided by 1182.\nAnswer: 94211\/1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0*a - a - a. Let h(w) be the third derivative of 0*w**3 + 0*w + 0 - 3*w**2 + 1\/12*w**4. What is p(h(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1723, -3, 5, -2495 in decreasing order.\nAnswer: 5, -3, -1723, -2495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 16\/3*w - 2\/3*w**5 + 12*w**2 + 0*w**4 + 22\/3*w**3 = 0. Calculate w.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**3 + y**3 + 8*y**3 + 6 - 6.\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 319190 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 - 9*i - 14. Let z = -14 - -8. Let f be p(z). Let d = -20\/27 + 86\/189. Which is the biggest value? (a) 15 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.5472146 take away -0.4125?\nAnswer: -125.1347146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 + 6*o + 6. What are the prime factors of x(-4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 + 10*l**2 + 4289 + 12*l**2 - 4310)*(4 - 2 + 0).\nAnswer: 6*l**3 + 44*l**2 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141260 is divided by 123.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - m - m**2)*(42*m - 75*m - 108*m)*(2*m + 5*m - 4*m) - m**4 - 3*m**4 + 7*m**4 as t*m**2 + d*m**4 + s*m**3 + w + n*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - 3*-2*sqrt(128))\/(sqrt(392)*1))\/(-3*-3*sqrt(800)*6)*-4.\nAnswer: -sqrt(2)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -13\/4*j**3 + 13\/4*j + 3 - 1\/4*j**4 - 11\/4*j**2 = 0. Calculate j.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/23125 and -91\/72500?\nAnswer: 2682500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + ((-1958 + 0)\/(-2) - 3). Let a = f - 685. Let h = a + -147. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*r + 19 + 28, 4*h - 2*r + 22 = 0. Let j(z) = 53*z - 1. Let l be j(-1). Let s = h - l. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + a - 2*a)*(-9*a**2 + 18*a**2 + 22*a**2 + (a**2 - a**2 - 2*a**2)*(2 - 2 + 1)) to the form q*a**2 + k*a + b*a**3 + l and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 8*m**2 + 8*m + 7. Let n be a(-7). Suppose n*h = -h + 20. What is the lowest common multiple of 2 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1 + 5 - 4). Suppose z = -4*q + 5*q - 3, n = 3*q + 5*z - 1. Which is smaller: q or 21\/11?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-510)\/120 - (-1)\/4. Let p(d) = -3*d + 0*d - 1 + d + 2*d**2 + 3*d. Let u be p(c). Solve u = -5*y + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4821332 + 2?\nAnswer: 4821334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*w - 6*o - 11, 1 = -o. Let s = 536 + -533. Sort w, -6, s in increasing order.\nAnswer: -6, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.91733 to 3 decimal places.\nAnswer: 1.917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 1553*g**5\/5 + g**4\/4 + 3190*g**3\/3 + 560. What is the third derivative of w(o) wrt o?\nAnswer: 37272*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16284 and 14125426.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 4) + 269 - -2. Suppose 4*s - a = -0*g - 3*g, 3*g + 3*s - 276 = 0. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007036 rounded to four dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2201361464 to the nearest integer?\nAnswer: 46919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 105. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4. Let w(i) = 2*i - 9. Let z be w(6). Suppose -z*d + 2*d - 2 = 0. Let j(n) = -n**2 - 3. Calculate d*x(b) + 3*j(b).\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 9*u + 12. Suppose -2 = -u*c + c. Let o(j) = 4*j**2 - 2*j + 1. Let z be o(c). Solve z*l + y = -y + 21, 3*l - 4*y = 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9 + 11*z**2 + 0*z**2 - 3*z**2 + z**3 + 7*z. Let h be r(-7). Suppose -3*l = -5*s + h, 4*s - 2*l - 3 = 3. Do 1\/13 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5\/4 - 8649*x**4\/4 - 65229*x**3\/2 + 34776*x**2 = 0.\nAnswer: -16, 0, 1, 2898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/69639 + -3831281\/39554952. Let x = v + -2\/71. Let d = 1 + -2. Is x smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(-14*u + 20*u - 20*u).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/40)\/(((-343)\/70)\/(-49)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**2 + 16. Let r(h) = 30*h**2. What is o(r(d))?\nAnswer: -6300*d**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 8. Let s = o + -55. Let r = s - -25.0000202. What is r rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47 - (20 - -27)) + -18\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(5\/(9 + -4)). What is the third biggest value in y, -3.9, -1\/3?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356 by -178.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27196050 divided by 25?\nAnswer: 1087842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a - 1378?\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303 by 761.\nAnswer: -303\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 1\/2, 412\/5, 0.3, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-576*v - 887*v + 302*v)*(-v**3 - 2*v**2 + v**3 - 2*v**4).\nAnswer: 2322*v**5 + 2322*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven fifths of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:25 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253 + 410. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8477233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 199464 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(-32)*c*c)*c\/(c*c\/(c**(2\/55)\/c*c)) assuming c is positive.\nAnswer: c**(1597\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -42*z - 2498. Give f(-59).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 944.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 + 196. Suppose -o + 14 = -3*w, 0 = 3*w - 3*o - 0 + 12. Calculate the common denominator of -43\/8 and m\/30 + w\/(-30).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -302*k + 86. Calculate the remainder when r(-5) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**2*v*y**2 - u**2*v*y + u**2*y**2 - 9*u**2 + 3*u*y - 362213*v - 1101*y**2 + y + 8 wrt v?\nAnswer: -2*u**2*y**2 - u**2*y - 362213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24 = -5*c, -4*w + 17 = c + 5. Suppose -c*n = -124 + 788. Let u = 117 + n. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 737*i + 763*i - 1505*i as k*i + f and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.874218997 rounded to three dps?\nAnswer: 2.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20061*w**5 + 4733*w**2.\nAnswer: -1203660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 782552*u**4 - 233262*u?\nAnswer: 9390624*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/104232 and 91\/5489552.\nAnswer: 16468656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-4)*w))**(-13\/5)*(w**(2\/9)\/w*w)**(-1) assuming w is positive.\nAnswer: w**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14382353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25854839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 14*q**2 - 21*q - 27. Suppose -456 = -241*w + 203*w. Give l(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:31 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - ((117 - 117) + -15 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -40362.75364 to the nearest 10.\nAnswer: -40360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 13, -4\/5, -4, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -40780 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00331694 rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11705?\nAnswer: 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210041?\nAnswer: 3, 7, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 2\/17 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 157*d**2 - 656*d - 1853. Determine n(-161).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 444 and 81648?\nAnswer: 3020976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 16, -3*v + 3*g = -0*v - 0*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 24692?\nAnswer: 395072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 969*s - 94. Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 81 + 333 = 0. Let n(c) = 2*c**3 + 8*c**2 - 6*c - 9. Determine n(b).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 2. Let x = 1 - 4. Let d be p(x). Is d\/(-10) + 187\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/13, -7\/33, -1\/3 in descending order.\nAnswer: 0, -2\/13, -7\/33, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.865 - -1.42. Let u = i - -0.045. Sort -0.5, -6, 2, u in increasing order.\nAnswer: -6, -0.5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 38*s - 40*s. Let p be ((20 - -6) + s)\/(6\/(-4)). Is -61\/4 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = 62*p - 880 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -101 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**3 - 222. Let r(k) = -k. Let m(b) = 13*b. Let s(l) = 4*m(l) + 36*r(l). Determine s(x(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1079362, 6\/23, -4 in descending order.\nAnswer: 6\/23, -0.1079362, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*x + 49*x - x + (-65*x + 13*x - 62*x)*(-2 + 2 - 1) as b + i*x and give i.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/3 - 7*r**2\/3 + r\/3 + 7\/3 = 0. What is r?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2. Suppose 66*o - 4 = 68*o. Let l(u) = 4*u - 2*u - 1 - u. Let p(f) = f - 3. Let y(s) = o*p(s) + 6*l(s). What is h(y(w))?\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 + 0\/(-4). Sort -4, 1, p in descending order.\nAnswer: 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 b, and 1 r when four letters picked without replacement from {w: 1, g: 5, b: 3, r: 1, n: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 39 = 4*h. Let v be 1*15\/(h\/2). Let z = v - -8. Is z greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((11475\/2040*(-2)\/(-5))\/3)\/(279\/24)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let n(y) = 1. Let t(z) = -z + 2. Suppose 0 = -3*l - 12, l + 0 = -5*q - 14. Let d(h) = q*n(h) + t(h). What is r(d(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*b - 31 = -2*b, 4*b = -3*t + 37. Calculate the remainder when 20 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 20 - 16*h**4 + 8 - 29 - 10*h**4 - 3*h**3 + 2*h**4 as k + t*h + c*h**4 + d*h**3 + l*h**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27807458 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1922521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100 (base 2) in base 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*o**2 - 139*k**3 - 3*k**2*o**2 - 24*k*o + 17*o**2 wrt o.\nAnswer: 2*k**3 - 6*k**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 66936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 75*o**3 + 1014*o**2 + 1476*o - 7560.\nAnswer: -3*(o - 35)*(o - 2)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + -12 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i + 10 = 0. Calculate the smallest common multiple of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/1764*21\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 23*x**2 + 24*x - 44. Let u be 17\/(-51) + ((-536)\/(-6))\/4. Let b be s(u). Solve b = -7*y + 6*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + a + 1, 2*r = 5*a + 33. Suppose 0 = r*b + 4*l - 4, 4*b = -2*l - 0*l. Is (46 - 1) + 0 + (-1 - b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p - 25. Let x(l) = -l**2 + 4*l - 1. Let d(g) = g**2 - 5*g + 2. Let c(b) = 4*d(b) + 3*x(b). Give c(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -16. Let s be 2*(15\/6 + 0). Find the second derivative of -3*q**s + 0*q**5 - q**t + 6*q wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34903 is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - a + 12. Let o(s) = 2*s**3 - 57*s**2 + 39*s - 285. Calculate the remainder when o(28) is divided by z(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(112))\/(sqrt(315)\/sqrt(5)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-8 - (-4 + (-5 - -1)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2375577 (base 8) to base 5.\nAnswer: -131413312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260405 = 3914*d + 21725 + 148410 for d.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.399999748 - 7.4. Round r to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 14998 + 15002 = 0, 6*f + 2*p + 14 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 7371872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26891480, 53782964, 80674450, 107565938, 134457428, 161348920?\n\"Answer: h**2 + 26891481*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3586*x - 120044 = -2466*x + 73620 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 39, 12, -39, -120, -237, -396, -603?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*h - 682 + 682)*(-h - 3*h + 5*h + (-2 - 4 + 20)*(5*h - h - 6*h)).\nAnswer: 864*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:23 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 1.4. Let g = 140.85 + -141. Let h = g - 0.85. Which is the fourth smallest value? (a) h (b) -4 (c) z (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*z - z = -582, -4*s = z - 1171. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 978, -3, 1859.\nAnswer: -3, 978, 1859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 5. Let v = -3.2 - s. Let z = 0.2 + v. What is the nearest to z in 1, 0.2, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-5\/9)\/(d**1)**22)**31 assuming d is positive.\nAnswer: d**(-6293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 2. Let p be b(-7). Let y be 4*-1*p\/(-6). Suppose 4*h - 6*h = -y. Solve -w = h*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 2 + k**3 - 2)*(2*k**2 + 0*k**2 + 0*k**2).\nAnswer: 2*k**5 + 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1857543148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1389210\nAnswer: -2\/694605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + 0.1. Let s = 2 - -1. Let x be (2090\/40)\/19 + (-3)\/1. Put w, s, x in ascending order.\nAnswer: x, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + f + 13. Suppose 4*c - 3*c - 49 = 0. Calculate the remainder when c is divided by i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3388) + sqrt(28) + -1 - (sqrt(378) - 5*sqrt(378))\/sqrt(6).\nAnswer: -1 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/13 + 2405218*l\/13 - 69753004\/13.\nAnswer: 2*(l - 29)*(l + 1202638)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899 and 5539.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 + 56*s**2 + 136*s + 302. Let v(l) = l**3 - 11*l**2 - 27*l - 60. Let t(h) = 2*r(h) + 11*v(h). What is the units digit of t(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 83.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (236*j - 53*j - 58*j)*(0*j**2 - j**2 - j**2)*(1 + 0*j + 5*j - 3) to the form a + w*j**3 + n*j + v*j**4 + x*j**2 and give w.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 5, 0, -39, -103, 4, -3 in decreasing order.\nAnswer: 96, 5, 4, 0, -3, -39, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26884 by 26.\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -8 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3923, -3931, -3943, -3959, -3979, -4003?\n\"Answer: -2*p**2 - 2*p - 3919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 2*i - 6*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z + 236. Let w(c) = -5*c + 111. Let k(i) = 6*a(i) - 13*w(i). Determine k(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/((-19)\/(-152))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217428021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v - 8*v**2 - 8*v**2 - 70 + 74. Let t(s) = -3*s**2 + 2*s + 1. Give -11*t(h) + 2*y(h).\nAnswer: h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 2*d**3 + 3*d**3)*(-38*d + 38*d - 70*d**2).\nAnswer: -70*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*u - 216*u + 10, 2*u - 9 = a. Let g be (-9)\/(-2)*(6 - -6). What is the greatest common factor of g and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w**2 + 7*w**2 - 2*w**2)*((-3 + 4 + 2)*(-2*w**3 + 5*w**3 - 2*w**3) - 4*w**3 - 2*w**3 + 0*w**3).\nAnswer: -18*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/30 - 5*t**4\/12 + 2*t**3 + 161*t**2\/2 + 27*t. Let u(s) be the first derivative of n(s). Solve u(b) = 0 for b.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 43*o - 34 = -17*o + 56*o, -1 = -o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -122690068?\nAnswer: -613450340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)\/c)\/(c\/c**7)*c\/c**(7\/5)*(c**(-2\/3)*c)\/c)**(-1\/53) assuming c is positive.\nAnswer: c**(46\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -41422062?\nAnswer: -41422062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 2*v**3 - 4*v**3 + 5*v**3 - 2*v in the form q*v**3 + k*v**2 + j*v + x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 29*q - 25*q + 52, 5*q - 23 = -j + 10*q for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 6 - 1, -60 = -5*w + 4*z. Calculate the least common multiple of (-24)\/(-14)*(3 - -4) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -23*y**5\/120 + y**4\/6 + 16*y**3\/3 + 9*y. Let v(o) be the second derivative of u(o). Differentiate v(c) with respect to c.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100.9872 kilograms to milligrams.\nAnswer: 100987200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/3 + (-2)\/(-6). Let h be (-4)\/(-18) + (-200)\/90. Is p - (h + -90 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3596 < 3156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose 0 = 2*u - 2*m - 8, -2*u - 8 = -5*u + m. Find the second derivative of 11*q**o + 3*q - 5*q - 7*q**u wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 1 + -3 + sqrt(19) + -5.\nAnswer: -7 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 418, 671, 964?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, -1\/5, -11.\nAnswer: -11, -1, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*g**2 - 10 + 99*g**2 + g - 46*g**2 as i*g**2 + c + x*g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 8*r + 4. Let i be n(-12). Suppose -6*h + i = -230. Calculate the remainder when h is divided by (-4)\/6*(-18)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -286*o + 335*o + 1225 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.7. What is the closest to -0.1 in 0.3, 3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + l**3 + l**2 - 28*l**4 - 18*l**4 + 2*l**3 + 44*l**4 to the form k + a*l**3 + d*l**4 + z*l**2 + x*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3625, 3 in ascending order.\nAnswer: -3625, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - m - 70 = -0*m, c - 3*m = 45. Suppose -24*w - 180 = -c*w. What is the greatest common divisor of 140 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from fkthy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {j: 3, a: 3, l: 1, i: 1, d: 1, b: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*(-38)\/57. Let q = 761812\/133 + -5728. Let s = q - -370\/7049. Is s < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (66861\/(-11730))\/(3948\/(-25)) and 87\/7238.\nAnswer: 28952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6))\/(l\/l**1)*(l\/l**(-1))**(-1\/8)*(((l*l*l\/((l\/l**(-7))\/l))\/l)\/l**(-4\/5))**(-19) assuming l is positive.\nAnswer: l**(1731\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 4. Let b = 152 - 136. Suppose t = 3 - 2, b = -5*n - 4*t. Let m(l) = -3*l + 5. Give n*m(q) + 5*s(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1767271 + 5?\nAnswer: -1767264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(10\/345). Let c = r + 9. What is the nearest to 0.1 in -2\/7, 0.05, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tototto. Give prob of picking 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Suppose b = 4*r - 3. Solve 4*z - 18 = 2*i, z + r = -3*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/7 + 3324123*w**2\/7 - 921057094872*w\/7 + 133483398216240\/7.\nAnswer: -3*(w - 553948)**2*(w - 145)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, e: 1, h: 5, b: 2, z: 1, t: 5}. What is prob of picking 3 j and 1 z?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/23 (c) 1 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -17. Let n be 20\/l + 1\/(-6). Which is the biggest value? (a) -1 (b) -0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 253362*d*r + 388*r - 83 with respect to d.\nAnswer: 253362*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 198 - 250 = 4*h, 3*h - 82 = -l. Let d = 93 - l. Solve 8*b = 3*b - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -122934 and -122894 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 v when four letters picked without replacement from {x: 4, r: 1, z: 5, v: 10}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = t. Let s be 8\/(1 + 2\/t). Let z = -2 - -14. Calculate the greatest common divisor of z and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8*0.17\nAnswer: -1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 197?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 801 = -3*n. Let m = -89 - n. Solve m = -0*r + 4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-847567.\nAnswer: 593296.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i + 1737 + 456. Which is greater: i or -130?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138322441 and 27041.\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose v*o = -2*o - 16. What is the units digit of (o\/10)\/(4\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293270?\nAnswer: 2, 5, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 4\/3*o**3 + 0 + 1\/3*o**4 + 0*o**2 + 23*o. Factor a(m).\nAnswer: 4*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 430*u**3 - 6 + 3 - 7*u**2 + 4*u**2 + u**2 - u. Is x(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.24 (b) -2 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 53 = 8. Let k be -5 - -4 - ((-3421)\/y + -2). Determine v, given that -416\/9*v**2 - 64\/9 + 160\/3*v - 3472\/9*v**3 + k*v**5 + 588*v**4 = 0.\nAnswer: -2, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325*-493.8.\nAnswer: 160485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 136*l + 7491. Let q be 8\/(-6)*(-5 - -2). Suppose -w = 3*o - 30 + 7, 0 = 2*w - 4*o + q. What is the least common multiple of w and b(-55)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 15582.9 weeks?\nAnswer: 109080.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1258*y - 86040 + 31946 = 0 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 6. Let g be b(6). Suppose -3*c - 12 = c, g = -5*o + 3*c + 9. Suppose o = -q, r + 2*q = -2*r + 195. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/3119 - -265121\/18714. What is the common denominator of -52\/19 and v?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.98. Let t = -32.5 - -99. Let k = t - 66. Which is the second smallest value? (a) k (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -12\/70471507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 4 + 22 - 8 - 82*q**2 to g*q + w*q**2 + z and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70013521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5213, -10454, -15697, -20942, -26189?\n\"Answer: -z**2 - 5238*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(98)) + (sqrt(2) - sqrt(72) - sqrt(2)) + (sqrt(64)\/sqrt(4) - sqrt(16) - sqrt(16))\/sqrt(8))**2.\nAnswer: -588*sqrt(2) + 4838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022475 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*o - 34*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gza when three letters picked without replacement from {g: 1, z: 5, n: 2, l: 6, p: 3, a: 3}?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/(t*t**(-3)*t))**(5\/13)\/(t**(-4)*t*t**(-9))**11 assuming t is positive.\nAnswer: t**(1676\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -633a97 (base 13) in base 8?\nAnswer: -10666666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22529678, -45059357, -67589036?\nAnswer: -90118715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1144194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-105)\/(195\/13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 329387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.73 times 0.4\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.915716 nanoseconds to milliseconds.\nAnswer: 0.000003915716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -0.2, -4\/7, -1, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/13 - 167162*x**2\/13 + 2005728*x\/13 - 6016968\/13 = 0.\nAnswer: 6, 83569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from bbpkppbkbkbkbkbkp.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/10)\/(3\/(-5)))\/(8298\/81136).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 877479763 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2846615319 to the nearest integer?\nAnswer: 53354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 + (6 - 7) - 9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127347, 509350, 1146015, 2037342?\nAnswer: 3183331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 509 * -0.3\nAnswer: -152.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41800 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.55021 grams in micrograms?\nAnswer: 55550210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -86, -84?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2*2\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9386500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/6 - z**3\/3 + 3*z**2\/2 + 5*z. Suppose 0*o - 8 = -4*o. What is the remainder when 20 is divided by q(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -21*n**5\/4 + 9*n**4 + 3*n + 15. Find the third derivative of j(z) wrt z.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**4*t + 267*q**4 - q**3*t - 12*q**3 - q**2*t + 2*q*t - 13*q - t + 2837 wrt q.\nAnswer: 216*q*t + 6408*q - 6*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/((-63)\/7)*(-69)\/391.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186716008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/12 - z**3\/2 + z**2 + 8*z. Let h be x(3). Is 3795\/4 + (-4)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Let k(g) = 98*g**2 + 1 + 3*g + 99*g**2 - 196*g**2. What is k(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + (42\/168)\/(1\/176).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + -100. Let i be -15*(3\/(-18) - 0)*-2. Let o be (-1 - i) + -2 + 10\/(-7). What is the third smallest value in h, o, -0.3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/4791 and (695\/30)\/((9 + -8)*-6)?\nAnswer: 57492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/6*(-480)\/(-1140). Let a = 0 + -3. Let t = 0 - a. Solve -t*y = -4*k + 6*k - 11, y - x = -k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1524 (base 6) to base 12\nAnswer: 2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {e: 3, h: 2, q: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3252, -3362, -3546, -3804?\nAnswer: -4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950000 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-9)*3\/4. Suppose -w - u*w - 10 = -j, j - 5*w = 6. Which is the second smallest value? (a) 4 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 23330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287877 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - h - 828 = -827, 0 = -2*x - 3*h - 83 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5878688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2402421000012 - 2?\nAnswer: -2402421000014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-7 + (6 - 7) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/2 + 61*z**2\/2 - 855*z\/2 + 3483\/2 = 0?\nAnswer: 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*p**5*u**3 - 3*p**4*u - 2*p**2 + 10*p - 2*u**3 wrt p?\nAnswer: -1020*p**2*u**3 - 72*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 214220 (base 6) to base 14\nAnswer: 66b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atwa when four letters picked without replacement from rjraaraaxjrjjwt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 60083 and -26.\nAnswer: 60057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 895*p**2 + p - 2*p**3 - 2*p - 1 - 895*p**2 to j*p**2 + h*p + w*p**3 + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 188\/20 + -4 - 2\/5. Solve 0*w + 2*w = 5*h + 20, 0 = w + q*h + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 6, a: 4, y: 7, f: 2}. Give prob of sequence fy.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 486747550 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -5723567?\nAnswer: 5723607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*p**4 + 0 - 32\/3*p + 12*p**2 - p**3.\nAnswer: -p*(p - 4)*(p - 1)*(p + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855.587 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**4 - 11160*x**3 - 822000*x**2 - 20425000*x - 169687500 = 0.\nAnswer: -2715, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 698\/(-2328) - ((-2768)\/160 + 17). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21676394 * -9.\nAnswer: 195087546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let v = 753 - 10545\/14. Is v equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441\/893962 or 0?\nAnswer: -441\/893962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -3. Let q = s - -1. List the prime factors of (-6)\/3 + 32 + q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {o: 4, r: 6, t: 4}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20206972 to three dps.\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u. Suppose 0*i + 5*i = -10, u = -4*r + 4*i + 588. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w + 269. Calculate z(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 298. Determine v(19).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + c**2 + c. Let q(s) be the third derivative of -s**6\/40 + s**5\/60 + s**4\/12 + s**3\/3 + s**2. Let i = 154 - 152. What is i*o(p) - q(p)?\nAnswer: p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319220243?\nAnswer: 23, 13879141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.14 + 0.14. Let m = 8 + p. Let j = 0.01 - 0.31. Sort m, j, 1\/8.\nAnswer: j, m, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 12 + -12 + 10 + 0 + -22\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 554023 - 553731.681. Round v to the nearest integer.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -111*z**3 - 83*z + 1. Let c(r) = 111*r**3 + 85*r - 1. Let s(q) = -4*c(q) - 5*p(q). Find the second derivative of s(n) wrt n.\nAnswer: 666*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s + 4*k = -20, -13 = s + 5*k. Let u be (-8)\/3 - (-8)\/12. Is s at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88, -24, 42, 110, 180, 252, 326?\n\"Answer: t**2 + 61*t - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7 + 1. Suppose -3*j + 0*j = p*f, -2*j = 5*f. Let g(y) = y**2 - 1. Let v be g(-2). Solve v*i + i + 4 = j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.43521 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 18 = -14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6459820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 994 + -992. Solve -c - 4*f = -2*c - 19, -p*c = 2*f - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - 4*m - 3. Let z(j) = -3*j**2 - 3*j - 2. Let u(l) = 2*s(l) - 3*z(l). Let t be (-1 - (1 + -1))*0. What is u(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39996.66 litres to millilitres.\nAnswer: 39996660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001100010100100000 (base 2) in base 9?\nAnswer: -6450845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 728 + 5?\nAnswer: 72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, r: 2, t: 11}. Give prob of sequence tttt.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 2*d. Let b be l(-2). Suppose 2*x + 2 = -q, -4*q - 1 + 9 = b. What is the third biggest value in x, 2, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -0.3, 0.3, -0.5, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*u - 34, 3*c - 12*u + 11*u + 38 = 0. Let x be c*(10\/(-8) - (-54)\/72). Calculate the greatest common factor of x and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 - 16*o + 30. Let x be j(2). Suppose -26858 = -68*g + x*g. What are the prime factors of g?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (61 + -62)*(-2 + 0). What is the biggest value in h, 1\/1791, 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318648061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/198)\/(1072\/(-4824))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 22. Suppose 0 = -4*t - 4*l + y, -3*t - 5*l + 8 = -l. Solve -w = 4*o - 19, -11 = o - t*w - 5*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2080000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -613164?\nAnswer: -613162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12156 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-161)*(-28)\/(-20)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162403*q**3 - 45*q**2 + 37 wrt q?\nAnswer: -974418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.275, -0.4, 17\/2, -3, -5, 0?\nAnswer: 0.275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/45 - u**5\/15 - 2*u**3\/3 - 9. Let p(l) be the third derivative of h(l). What is the second derivative of p(d) wrt d?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -13*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -0*q - q + 3*l, -4*l + 15 = -40*q + 39*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -9) + -1 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2013*q - 3*q**2 + 1053*q + 960*q + 2*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/1*1\/2. Let k(c) = -c - 1. Let x(v) = -7*v**2 + 2*v - 9. Let q(w) = 5*k(w) - x(w). Let f(o) = -8*o**2 + 8*o - 5. Calculate b*q(j) + 5*f(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021845 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -6.5, -144?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/12*(-81)\/(-12). Let i = l - -11. Suppose -6 = -2*j - 4*h, 8 = 5*j - 2*h + i. Which is the biggest value? (a) -0.4 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/(5 + (-889)\/182). Suppose 4 = -4*y - 3*h, 0 = -3*y - 0*h - 3*h - 6. Suppose -y*q - 3*g = -59, q + 5*g = 27 + a. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -1*(sqrt(102) - 1*sqrt(102)) - (sqrt(102) - 2*sqrt(102)*1))\/((sqrt(600) + (sqrt(600) - (sqrt(600)*-1 + sqrt(600))))*-6).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -42*r - 373. Let x be h(-9). Suppose w - 15175 = -i, 2*i - x*i + 5*w = -45565. Round i to the nearest 100.\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p**2 - 13*p. Let o = -15 - -17. Let r(u) = 0*u**2 - 6*u + u**2 - u**2 - 7*u**o. Determine -6*a(n) + 13*r(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 60. Let l be -1 - 3 - 30\/i. Calculate the greatest common factor of l and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 57, 90, 127, 168, 213?\n\"Answer: 2*y**2 + 23*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9517514 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 182243 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.299 (b) -3\/19 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -36, -48, -60, -72, -84?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -2.4. Suppose 7 = 2*c + 15. Put c, u, -2 in ascending order.\nAnswer: c, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 2, l: 1, v: 2, g: 1, d: 2, t: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6940100 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 35 = 4*r, -l + 1 = -2*r - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 995*a**2 + 3266*a**2 + 1565*a**2 + 552*a**2 + 3881*a**2 to the form b*a**2 + r*a + s and give b.\nAnswer: 10259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 2*z. Let t(h) = 65*h - 1. Let v be t(1). Let g = 64 - v. Solve -4*j + 5 - z = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.018 and 72.\nAnswer: 1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21078 divided by -123?\nAnswer: -7026\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-20)*8)\/(1*(3 + -5)). What is the nearest to 0.23 in 40, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(3\/(-6)). Let q(n) = -n + 1. Let j(l) be the second derivative of -l**3 - 4843*l. Calculate u*q(d) + j(d).\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 853 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 431*t + 708*t - 4332 - 17309 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*p - 7*p. Let i = -4552 - -4552.2. Which is the closest to i? (a) 3\/7 (b) -4 (c) 5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3 - 6. Let u = h + -14. List the prime factors of (u\/(-2))\/(6\/12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = 2*d. Let q = 7 + -11. Let m = 1.236 + -0.236. Which is the closest to d? (a) q (b) m (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 842 = -2*n + 2*z, 5*n + z - 1920 = 0. Let v = 384 - n. Solve v = -3*a + 5*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -133, 4, -13, 0, -4 in increasing order.\nAnswer: -133, -13, -5, -4, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 2*s**2 + 2*s + 3. Let b be t(-3). Let k(i) = -i**2 + 7*i + 8. List the prime factors of k(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32*1*(0 + 4). Let h be 28\/8 + (-75)\/(-6). What is the highest common divisor of h and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**7\/42 - 11*v**4\/24 + 10*v**2. Find the second derivative of m(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0 - -2)*8. Let d = l + 23. Suppose -2*v + d*v - 70 = 0. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2538 divided by 2\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 90*c + 4 + 7.\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + -3210?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**22*i*i**(-1\/3)*i**(7\/5)*i\/(i\/(i**(-17)\/i)) assuming i is positive.\nAnswer: i**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 5*g + 3. Suppose 3*c + g = 7. Solve c*l + 2*v = -3*l - 14, -3*l - 3*v - 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-560)\/(-133) + 5 + (-1 - 0). Let g = d - 605\/76. What is the smallest value in g, 2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 10:22 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 517, 481, 421, 337?\n\"Answer: -12*h**2 + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 21*d + 5*d - 128 + 13*d + 2*d**2.\nAnswer: d**2 - 3*d - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*h + 6, -160780*h + 20 = -160776*h - 4*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 4039840177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 0, 1893 in increasing order.\nAnswer: -118, 0, 1893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) + -3 + -1)**2 - sqrt(891))*1.\nAnswer: -907 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v. Let r(a) = -7*a**2 + 6*a. Let m(z) = 0*z**2 - 7*z - 5 + z**3 + z**2 + 3*z**2. Let n be m(-5). What is n*t(c) + r(c)?\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 28*h**2 - 9*h**4 + 23*h**2 - 2*h - 53*h**2 to the form q*h**4 + c*h**3 + p + x*h + o*h**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*g - 19*g - 22*g - 17*g - 15*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34\/47653 + 1226540975\/571836. Let b be 25712\/(-12) + 4\/6. Let k = h + b. Find the common denominator of -3\/4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681423843?\nAnswer: 3, 4903, 46327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(15)\/(sqrt(20)\/sqrt(4))) + (sqrt(3)*2 - sqrt(3))**2*-3 + 5 + sqrt(27) + sqrt(9)\/(sqrt(3) - (-1*sqrt(3) - sqrt(3))) + -4.\nAnswer: -8 + 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1177 and 265039.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = -3*z - 14, -z - 3*w - 15 = 0. What are the prime factors of (8 - z) + -1*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*k**6 + 96*k**5 - 20315*k**2?\nAnswer: 1560*k**3 + 5760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 3 = -o - d, 5*o - 2*d = 150. Factor -59 + 33 + 2*i**3 + 2*i + o - 4*i**3 - 6*i**2.\nAnswer: -2*(i - 1)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -35, 4 in descending order.\nAnswer: 4, -0.03, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 + 7*a**2 - 7*a**2)*(-96*a - 2*a**2 - 2 + 93*a - 20*a**2).\nAnswer: -110*a**5 - 15*a**4 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/6? (a) 2\/11 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 2*j**2 - j**2 + (4*j + 0*j - 2*j)*(-4*j + 4*j + 2*j) + (14*j**2 + 607 - 607)*(-36 - 21 + 85 + 163).\nAnswer: 2679*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = j - 47, -j - 3*j - 4*b + 156 = 0. Calculate the remainder when j is divided by (-3)\/(1\/(34\/2 + -24)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7200)*3*-3 + (sqrt(350)*1*-1)\/((sqrt(56)\/sqrt(2))\/sqrt(4)).\nAnswer: -545*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i - 3*p - 76 = 0, i - p = 18. Suppose 5*b + 2 = i. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**4 - 27*b**3 - 31*b**2 - 9*b + 2.\nAnswer: -(b + 1)**2*(b + 2)*(7*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - -2.5. Let j = 2 - x. Let g = 8.7 - 9. Which is the second biggest value? (a) j (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-12)*r)\/(r*r**(-23)*r))**(-3\/5) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = x + 10, -3*z = -2*x + 143 - 148 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 38 - 154 = 0. Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40534529?\nAnswer: 7, 457, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 30*t + 88. Give l(-15).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let s(y) be the first derivative of 94*y**2 - 546. Give o(s(v)).\nAnswer: -188*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(65)*-1*5)\/(-2*sqrt(405)).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 1 - (-2 + 5). Let v be (3 - -2)*(-4)\/l. What is o in 2\/5*o**5 + 2\/5*o**3 + 0*o - 4\/5*o**v + 0 + 0*o**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -208314*c*z - 74822*c wrt z?\nAnswer: -208314*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101001011011101 (base 2) to base 16\nAnswer: -52dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 2*p**2 - 5*p**2 + 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-42)\/2*454\/(-12) - 5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 209034 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/9)\/(1413919\/3566).\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -37. Suppose 3*l + m = -26. What is the remainder when (-22)\/(-143) + (-518)\/l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1052*j**5 - 1212*j wrt j?\nAnswer: 21040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -422 + 420. What is the closest to 165 in -1, k, 5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 25. Let c be v(19). What is the tens digit of 13\/(-3) + 4 + (-242)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/130 + k**4\/39 + k**3\/39 - 2*k**2\/13 - 577*k. Factor s(h).\nAnswer: -2*(h - 2)*(h - 1)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1539 and 5.\nAnswer: 4.8461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229751 is divided by 409793.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5b4 - -8?\nAnswer: a5bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -13, 6, 2, -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ba00 + -4?\nAnswer: -ba04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhghggagah. What is prob of sequence gaah?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/49 + 8\/14. Let m(k) = 44*k**3 - 2*k**2 + 1. What is the units digit of m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) 1 (b) -2\/5 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-23)\/(-69))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 5*x + 4*x + (-5*x + 3*x + x)*(-2 + 3 + 0) - 3*x + 5*x - x + 3*x - 5*x + 3*x + (1 + 3 - 3)*(6*x - x - 3*x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -284 - 855. Let h(a) = 789*a - 3. Let u be h(-1). Let d = u - s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/24 and -91\/100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2. Let s(a) be the third derivative of a**8\/4032 + 9*a**5\/20 + 15*a**2. Let q(c) be the third derivative of s(c). What is q(o(u))?\nAnswer: 45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 803 = j + 27*j + 75. Solve 0 = -j*f + 25*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-12)\/(-88))\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05249*-21.\nAnswer: -1.10229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1603*f + 1190 + 1252 = -764 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/3, -1\/9, 1\/12, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/11562 and 450\/(-40) + (-112)\/(-48).\nAnswer: 23124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 13364*b\/3 - 40126352.\nAnswer: 2*(b - 5106)*(b + 11788)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 407*n**2 + 796*n + 9003. Determine d(409).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -1)*(13 + -12). Suppose -s*c + 769 + 116 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*q**2 - 1 - 6*q + 0*q**2 - 14*q**2 + q**2 + 126*q**3 wrt q.\nAnswer: 756*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40614*d**3*f**2 - 3*d**3*f - 5*d**3 + 5*d**2*f + 4*d*f - 3*f**2 + 925*f wrt d.\nAnswer: -243684*f**2 - 18*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + ((-12 - -12) + (-7 - -3) - 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*k = -4, 3*y - y - 2*k = -4. Let x(u) = -u**3 + 4*u**2 - 2*u - 2. Let v be x(2). Let d be (4 - (v + y)) + -2. Sort d, 5, 1.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 - b. Let y be c(-5). Let w(r) be the first derivative of r**4\/24 + r**2 - 1. Let k(i) be the second derivative of w(i). Give k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -2*l**5\/5 + 3*l**4\/2 - 4*l**3\/3 - 131. Factor s(k).\nAnswer: -2*k**2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4233.5 rounded to the nearest 10?\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**7\/252 - n**6\/90 + n**4\/36 - n**3\/36 + 65*n. Factor o(s).\nAnswer: s*(s - 1)**3*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-42.3487.\nAnswer: 254.0922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = 0. Let w(r) = r + 70. Let f be w(-52). What is the second derivative of f*z - z**3 + j*z**3 - 38*z wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + l = 8 + 29, 25 = -5*m - 5*l. Let u = -5 - m. Let j(c) = -c - 9. Let s be j(-11). Solve u*p = -s + 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(5 + -2 + 3*sqrt(5) + -6*(sqrt(20) + 1)).\nAnswer: 9 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 486046529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -23. Let g(h) = -h**3 + 11*h**2 + 15*h - 26. Calculate the remainder when 39 is divided by g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -350, -1167, -2758, -5381, -9294, -14755?\nAnswer: -22022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14332*k + 343961. Determine x(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12823?\nAnswer: 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -16. Let m(w) = -w**3 + 10*w**2 + 12*w - 1. Does 5 divide m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 62849815?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-18) + 2*34\/4. Calculate the highest common factor of q and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787*b = -752*b - 314 - 176 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23969 and 15253.\nAnswer: 167783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043922 rounded to five decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/16*2 - 1463\/(-836). Solve s = -11*y + 21*y + 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/47743975 and -103\/200?\nAnswer: 381951800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 99*l**2\/4 + 72129*l\/4 + 72029\/4.\nAnswer: -(l - 323)*(l + 1)*(l + 223)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 12) in base 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 21, -1, -0.02, 224 in increasing order.\nAnswer: -1, -0.02, 1\/6, 21, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let q(x) = -22635*x. Calculate q(f(l)).\nAnswer: -45270*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from {g: 3, i: 8}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-3)\/(-6)*2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55071, -220007, -494811, -879489, -1374047, -1978491, -2692827, -3517061?\nAnswer: -4451199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-15))\/b**(-17))**11 assuming b is positive.\nAnswer: b**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -200.1. Let u = 3.5 - 5.4. Let h = u - 6.1. What is the third biggest value in j, h, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.42 - -2.333. Let o = h - -0.087. Which is the third smallest value? (a) o (b) -2\/17 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-25 - (0 + -14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84586770 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814584\/266 - (-2)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a factor of 113388475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose -p - 8 = -t*p. Suppose -v = -4*o - p - 4, 12 = v - 5*o. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91883255 to the nearest integer?\nAnswer: 9586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040699 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 443464718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*g - 15 = 0, 4*t + 33 = 265*g - 262*g for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5 + 1. Suppose -n*z = -z - 402. Suppose 0*g + 2*g = 4*s - z, s + 5*g = 50. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -104 + 269. Let w(r) = 7*r - 3*r**2 + 14 + 15*r + 28*r + 7*r. Calculate the remainder when j is divided by w(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512355629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -41 (b) 8 (c) -3690 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*f - 22, -7*f + 5*f - 4*o = -6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/14 - 5*m**4\/4 - 13*m**2. What is the second derivative of q(u) wrt u?\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0. Let t be -3*(-28)\/(-21) - 116\/(-30). Let z be (0 - 1)*-4 + 1. What is the nearest to n in z, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178715 is divided by 335.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -176*n**2 - 483*n + 482. Determine u(1).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + g + 2. Let c be (-1 - 0)\/((-8)\/16). Let d(x) = 4*x**2 - x - 3. Let h(i) = c*d(i) + 3*p(i). Let k = 74 - 74. What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 80*2.6\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4094 and 17250?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2) + 982 + -936.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 947*h = -952*h - 3800, -3*h - 1 - 9 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let p(h) = 3*h + 8. Let q(z) = -z - 3. Let u(b) = 3*p(b) + 8*q(b). Calculate -k(x) + u(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 + 16*f + 106. Give q(-6).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 0.06, -4\/5, 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 212 - 76 - 74 - 60.\nAnswer: -14*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/6 + 14\/(-21). What is the closest to -4 in -1, 2, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1849*r - 2 + 2 + 1973*r)*(-6*r - 3 + 3) to l*r**2 + o*r + k and give l.\nAnswer: -22932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 21*o**2 + 20*o + 4. Let l be j(20). Calculate the highest common divisor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, l: 5, f: 3, t: 2}. What is prob of sequence tflt?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/5 + 831*z**3\/5 - 40083*z**2\/5 - 529311*z\/5 - 891594\/5 = 0.\nAnswer: -9, -2, 79, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**2 + 16*n**2 - 3 - 88758083*n**3 + 44379027*n**3 + 44379057*n**3 + 3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 148*d**2 + 732*d - 40 = 0.\nAnswer: -5, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 2*o**2 + 4. Let n be k(3). Let f(b) = -b**2 + 14*b - 8. Let v be f(n). Solve 0*x - v = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 + u - 790. Let r(g) = 21*g - 24. Give 72*a(w) + 3*r(w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -270. Let x be 1 + -2 + (-3)\/(-1). Suppose b - 117 = -z, -x*b - i = -z + b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/51 and -31\/33?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 7*s - 12. What is the units digit of i(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*j - 15472*f**2 + 53*f*j - f - 39145175*j wrt f?\nAnswer: -4*f*j - 30944*f + 53*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 83 - 63 = b, -5*b + 100 = -s. What is the smallest common multiple of 802 and b?\nAnswer: 8020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 65, 109, 153?\n\"Answer: 44*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 9*c**3 - 4*c**3 + (2*c**3 + 2*c**3 - 5*c**3)*(-1 + 3 - 3).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.016 + 0.246. Let l = j - 0.2299792. Round l to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - -2334411?\nAnswer: 2334243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 119236 divided by 3\nAnswer: 119236\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 350243*x - 700487. Calculate o(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3632 - 3609. Let g(l) = -3*l + 71. What is g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:51 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 1 + 0 - 15*g**2.\nAnswer: -21*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4341138894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 87.503 times 82.8\nAnswer: 7245.2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Suppose 10 + 10 = d*w. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 2\/17, 0, -1, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17823 is divided by 5939.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {p: 1, f: 1, t: 1, b: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -189*t**4 + 189*t**4 - 156*t**5 - t**5 + 3*t**5 - 4*t**5 + (0 - t + 0)*(0*t**4 + t**4 + t**4) - 2*t**5 - 4*t**4 + 4*t**4 + 4*t**5 - 3*t**5 - 3*t**5.\nAnswer: -164*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/688 and 29\/3440.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/4 (b) -3 (c) -0.9 (d) -320\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -224, 88\/17, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + p**3 - 1)*(4 - 3 - 8)*(3 - 1 + 1).\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/2 (c) 2\/3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 19. Suppose s = -4*j - 15, s - 3*s + 5*j + 9 = 0. Put 4, s, v in decreasing order.\nAnswer: v, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - d05d?\nAnswer: -d06a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/2*8\/(-12). Suppose 0 = -5*j + v*j. What is the second derivative of 2*m - 2*m**3 + j*m**3 + 3*m - 6*m wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -44. Solve -3*t + n - 11 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -739*l**2 + 919*l + 21. Determine f(1).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -318951\/20 - -15948. Let o(d) be the third derivative of 0*d**3 - i*d**5 + 0*d - 8*d**2 + 7\/24*d**4 + 0. What is the second derivative of o(r) wrt r?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*v + 5*j, -2*v - 4*j + 10 = 2. Let s(w) = 5*w**3 - w**2 - w - 7. Let i be s(5). What is the greatest common factor of v and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 243*x + 135. Let h be y(3). Calculate the highest common divisor of 96 and h.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6290 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(243) + sqrt(243))**2 + 4*((sqrt(3) - sqrt(48)) + -3).\nAnswer: -48*sqrt(3) + 962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000304 (base 6) to base 9.\nAnswer: -547134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 5. Let b(y) = -y**3 - 3*y**2 + 2*y - 5. Let w be b(s). Solve a - 8*q + 3*q + 23 = 0, 9 = -3*a + w*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 3, y: 3, w: 1, m: 6}. Give prob of picking 1 y, 1 g, and 1 k.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**2 + 14*r - 4.\nAnswer: -2*(r - 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 10 - 3) + -1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17986091 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*u + 60, -3*j + 56 = 3*u - 2*u. Let z = -15 + j. Solve 0 = -5*w + z*o + 40, 0 = 5*w - 4*o + 5 - 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 13 = 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-9))\/(-3 + 159\/18). Let a be (51\/45 - 1)\/(28\/42). Is a at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 26 = 25*i. Solve 3*c + 0*c = -4*k - 9, i*k = c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 28 = 0. Let i be 22\/c - 12\/(-28). Let k(n) = -5*n**2 - 7*n + 6*n**i + 2*n - 2 + 0*n. Determine k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40486, -80966, -121458, -161968, -202502, -243066?\nAnswer: -283666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10134*r**2 + 12168145*r + 29*r**2 - 12168145*r as b*r**2 + z*r + k and give b.\nAnswer: 10163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*31\/7. Let q = u + 1\/42. Let s = -6.2 + 6. Which is the nearest to s? (a) q (b) -0.2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7040*a*g*v**3*z - 2*a*g*v**2 - 173*a*g*v*z + 4*a*g*v + 5*a*v**2 - g*v**3*z - v**2*z wrt v?\nAnswer: -42240*a*g*z - 6*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.45 + -47. Let f = u + 0.75. What is the second biggest value in 2, -0.08, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4121 - 1?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 2890?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132722919 and 7434.\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + 0 + -1 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -13. Does 15 divide (-3)\/5 + (-243)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 20 = 0. Suppose -18*s = -17*s - 2*w + 104, -520 = 5*s + 3*w. Let u = -104 - s. Solve y*g - 4 = 3*m, -5*m + g = -u + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*c + 3*l + 156, 3*c + 32 = -0*c - 5*l + 16 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 3835.\nAnswer: -12\/3835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335312*v**2 + 199*v - 3354 wrt v?\nAnswer: 670624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/30 and 19\/1332108?\nAnswer: 6660540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h*j**2 + 6605*h - 24278*j**4 + 2*j**3 - 46*j wrt j?\nAnswer: 28*h - 291336*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/8))\/(k\/k**(-9)*k))\/(k**(1\/18)*k\/k**(-3\/7)) assuming k is positive.\nAnswer: k**(-5977\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*b - 14616*b**3 - 6646*b**3 + 490*b.\nAnswer: -21262*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3 = u, -93*u + 22 = 3*l - 95*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -34*w + 7. Let a(t) be the third derivative of -23*t**4\/24 + 5*t**3\/6 - t**2. Let v(o) = 7*a(o) - 5*c(o). Let q(s) = -2*s**2. Calculate q(v(p)).\nAnswer: -162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efeieieeeeeeeiffee. What is prob of picking 2 i and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 27*x + 1. Let r(p) = 46*p - 382. Let a(t) = -3*j(t) - r(t). What is a(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyww when four letters picked without replacement from wqwqwyq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 81*n. Let m(g) = 2*g. What is u(m(i))?\nAnswer: 162*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 8*k**2 + 7*k + 8. Let w be g(-7). Suppose -9*t = -11*t - 8*t. Suppose 4*p - 5*p = t, -5*a + 30 = -2*p. Is w at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -23. Suppose 0 = 2*d + 5*c - 130, -h*d - c + 188 = -90. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 6*p + 19. Let v be w(4). Let z be 2\/1 + (-10)\/(-2). Suppose v = z*g - 17. Solve -4*j + 7*j - 3 = 0, -c - 1 = -g*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)*(-5)\/(-10). Find the common denominator of -51\/8 and j + 2 + 133\/(-18).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - d + d + (-5*d + 4*d + 3*d)*(5 - 1 + 1) + (0 - 4 + 3)*(-1 - 2 + 1)*(-8*d + 2*d - 18*d).\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 3*u - 1 - 33 + 1 - 39 in the form g*u + y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 30*i**2 - 4. What is k(30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - y = -24, 0 = -4*b - 856*y + 855*y + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.418992nm to centimeters.\nAnswer: 0.0000003418992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/4 of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18152639779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - d + 0*d**2 + 4*d**2 + 4*d**2 - 6*d - 7. Determine a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {g: 10, k: 6, f: 2}?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + n + 6 = 4*n, -5*s + 13 = 2*n. Let v = -622 - -851. Find the second derivative of v*x - 3 - 237*x + s - 3*x**3 wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7197856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + d)*(1 + 4 - 3)*(6 - 4 - 21*d + 19*d).\nAnswer: -4*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37794729794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n**2 - 44*n - 13. Let g be x(-2). Put 0.07, g, 10, -1\/4 in ascending order.\nAnswer: -1\/4, 0.07, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 168\/13 (c) 6766\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b - 7. Let h(z) = -735*z + 8. Determine h(y(a)).\nAnswer: -6615*a + 5153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 6:04 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1947, -2122, -2297?\n\"Answer: -175*q - 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031875898 to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*s**3 + 3*s**2 - 15*s - 6242 wrt s?\nAnswer: 96*s**2 + 6*s - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23012 - 2603?\nAnswer: -25615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -662 (base 8) to base 10.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.7929 and 818.\nAnswer: 825.7929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 2 + 7*f**2 - 2*f**3 + 3. Let a be d(-7). Differentiate 2*j**4 + 1 - 4*j**4 + 2 - a with respect to j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*t - 23, -3*r = 3*t + 1 + 2. Suppose r*i - 22 = 2*i. What is the lowest common multiple of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:28 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/5 - 2*w**3 - 324*w**2\/5 + 1872*w\/5 = 0. What is w?\nAnswer: -13, 0, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/13 + -1 + 16\/(1176\/63 - 20)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748314 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d = -25*d - 26*d. Let b(t) be the first derivative of 18*t - 13 + 14\/5*t**5 + 0*t**3 + 0*t**4 + d*t**2. Differentiate b(n) wrt n.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63267 (base 9) to base 13\nAnswer: -16027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18892, 3, -20, 5, 2 in ascending order.\nAnswer: -20, -5, 2, 3, 5, 18892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(4700\/150))\/(-18)*-14*(-1)\/(-3)?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 134 = 5*h. Calculate the greatest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 4*q. Suppose -5 = g + 2*g + 5*z, 5*g = 2*z - 29. Let x(f) = -2*f**2 + 5*f. Let j(p) = g*n(p) - 4*x(p). Let l(o) = 7*o. What is j(l(i))?\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 - d**4\/12 - d**2\/2 - 58*d - 1. Let t(a) = 2*a**3 + 5*a**2 + 5. What is 5*i(b) + t(b)?\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 75, 153, 251, 363, 483, 605, 723?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 - 1.81. Let t be (-59 + -2)\/((-2037)\/(-5)). Let l = t - -2\/291. What is the closest to -2 in l, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:42 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -46, -3, -42, -2, 4 in descending order.\nAnswer: 12, 4, 0, -2, -3, -42, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/6 + 1\/3. Let n = -1.1 + 1.6. What is the smallest value in n, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.351 + 2.596. Let n = u + -6.648. Let h = -0.001 - n. What is h rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(252) + -1 - sqrt(252))*-1 + (-3 + sqrt(252)*1)**2 - ((4*(-2 + sqrt(112) + 1))**2 + -1)).\nAnswer: -1544 + 92*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34757*a - 34762*a - 65 = -5*f, -3*a = -f + 31 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*r**2 + 507*r**2 - 192*r**2 - 149*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -0.2, 0.06 in descending order.\nAnswer: 2, 0.06, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26031061 = -281*n - 26066467 for n.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2349 + 4.2349077156. Round o to seven decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10766120 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: Sort 393, 2\/7, -1\/8, 1\/4 in descending order.\nAnswer: 393, 2\/7, 1\/4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.384 - 6. Let s = -0.884 + o. Put 0.5, -3, s, -2 in ascending order.\nAnswer: -3, -2, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660442 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*o**2 + 333705*o - 60075.\nAnswer: 5*(o + 1335)*(50*o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59104, 119912, 180720, 241528?\nAnswer: 302336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(25\/(-6)*(-3)\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21 and -274971.\nAnswer: -274992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13 = 3*j - 18, 4*i = 8. Suppose j = -3*n + 6*n. Suppose -n*z - 10 = -5*z. Solve -q + 2 = q, -2*v + 11 = z*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*x**3 + 201*x**3 - 33*x**3 + 513*x**3 + 50*x**3.\nAnswer: 1762*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 755 (b) -3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t - 16. Let p(c) = -2*c - 3. Let k(o) = 3*h(o) - 16*p(o). Let x(v) = -19*v**2. Give k(x(u)).\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.14054ml to litres.\nAnswer: 0.00314054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10*h + 7*h = -44979, 0 = 2*m - 4*h - 30004. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -63 - -69) + -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 11*s. Suppose -2 - 14 = -5*l - 4*i, -5*i + 20 = -2*l. Let a be -3 - (-3 - l) - -9. Does 6 divide h(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-52))\/((-18)\/(-56)*(-2900)\/870)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2a179bac?\nAnswer: 2a179bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7748 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15048)\/(-76)*(-2)\/((-17)\/((-17)\/(-6))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 2200 - 2350. Solve 4*l + x = 5*j, 4*l - j + 144 = 139 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -1170, -2.\nAnswer: -1170, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 113 + -98 + (2 - 8) - (0 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 275*o - 402. Is c(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 7:01 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5321004386 - 12112?\nAnswer: 5320992274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 13, -8, 746 in descending order.\nAnswer: 746, 13, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*-4)\/(-2*sqrt(448)).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1284 + -1.\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let a(x) be the third derivative of -11*x**4\/24 - 13*x**3\/3 + 2*x**2 + 784*x. Determine a(p(k)).\nAnswer: 11*k - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.0302 millilitres to litres.\nAnswer: 0.0840302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*l**2 - 2*l**2 - 6 + l**2 to j + i*l + z*l**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 - 2*b**2 + 2*b - 3. Calculate s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5193*c**5 - 25292*c**2 wrt c?\nAnswer: -311580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333)\/8 + -22*102\/(-5984)*-1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -392 (b) -0.14 (c) 2\/5 (d) 6 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.9402 + -37. What is r rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9882 is divided by 900?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 6348524?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let h be (30\/45)\/(0 - 1\/(-84)). Suppose 0 = -60*w + h*w - 12. Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(6*(1 + (sqrt(720) - (2 + sqrt(720)))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 3\/5, 0.1, -4, -436\/137?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -829, -828, -827, -826, -825?\n\"Answer: i - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - b, 6 = 3*b. Let z(j) = -j**2 + 7*j - 6. Let k be z(4). Solve -k = t*r + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 2*z**3 + 403 - 565 + 0*z**3 - 2*z**2 + z**4 as d*z + h*z**2 + i + p*z**4 + x*z**3 and give i.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from {b: 1, t: 2, s: 2, p: 1, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 + 9348*w - 21846276 = 0 for w.\nAnswer: 4674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 378*s**3 - 1 - 2.\nAnswer: -378*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 + 5*b + 12. Let x be t(-6). What is the greatest common factor of x and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + r + 6 = 0, -154*r = 31*i - 153*r - 62 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428\/133961 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808356014?\nAnswer: 2, 404178007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*o + 2*o, 5*o - 10 = 0. Suppose -13 = 5*i + j. What is the third biggest value in -0.4, i, 18, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 - -179. Solve 0 = 5*w - g + 4, -w + 3 - t = 7*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*l - 20 = -147*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 27940?\nAnswer: 1\/6985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3152107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1432, -2866, -4300, -5734?\n\"Answer: -1434*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309367, -309369, -309371?\nAnswer: -309373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - -22. Calculate the remainder when b is divided by (-5)\/(5\/(-12)) + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let b(p) = -4 + h*p + 4. Let o(y) = y - y + 2*y. Determine o(b(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8826.83 kilometers in meters?\nAnswer: 8826830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 489688669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.099807 days in milliseconds?\nAnswer: 613423324.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 107. Suppose 4*j - 59 = 5*s - 15, -4*j - 2*s + 16 = 0. What is the smallest common multiple of j and x?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-138)\/33 - 3 - (-3)\/1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*c - 65*c - 3 + 3.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*v + 30*v + 120. Is v\/(-45)*-3*89\/2 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6106 + -6110. Which is the third biggest value? (a) u (b) -3 (c) 1 (d) 0 (e) 83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3)*i)\/i)\/i)**(4\/9)*(i**(-13)\/i)\/i*i**(-3\/2)\/i assuming i is positive.\nAnswer: i**(-347\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*c**2 + 0 + 1\/5*c.\nAnswer: c*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**3 + 222*a**2 - 6*a + 77. List the prime factors of i(22).\nAnswer: 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 9*b - 17. Let r(u) = 3*u - 24. Let l be r(9). Suppose -o = l + 4. Does 8 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.3 - -5.3. Which is the third biggest value? (a) 19 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d - 43 + 53. Let z be 20\/((-688)\/(-168) + d*-4). What is the highest common divisor of z and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 - -117. Let p(q) = 21*q**3 + q. Let y = -3 - -4. Calculate the smallest common multiple of d and p(y).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74584*-0.2\nAnswer: -14916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2*o, 5 = 3*r + 5*o - 4. Suppose -5*m - 11 = -3*j, -j = j + m - r. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k - 12 - 3\/2*k**3 + 15\/2*k**2 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3789312*p**4*w**2 - 3*p**3*w**2 + p**2*w**2 - 312*p**2*w - 10*p*w + 13*w**2 wrt p.\nAnswer: 90943488*p*w**2 - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:08 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 135930.012 rounded to the nearest 10?\nAnswer: 135930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11627, -11628, -11629, -11630, -11631, -11632?\n\"Answer: -c - 11626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13\/7, 0.3.\nAnswer: -4, -13\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 16*j**2 - 17*j - 23. Let k be r(-15). Suppose k*p = -2*p + 711. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35510776 divided by -117976\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2514 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002437204756 rounded to 7 decimal places?\nAnswer: 0.0000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:20 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 a when three letters picked without replacement from {f: 2, m: 1, n: 2, z: 1, b: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5715847 is divided by 154?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(1320\/(-522)) - -9.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c**5 + 128*c**4 - 4678*c**3\/5 + 4646*c**2\/5 + 1072*c\/5 + 56\/5 = 0 for c.\nAnswer: -7, -1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r + 29*r = -108*r + 322. Solve -2*h = -r, -14*x = -17*x - 2*h - 19 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/49 in -4, 0, -1\/4, 0.4, 21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(768) + 1 + sqrt(768) - sqrt(768)) - (4 + 3*(sqrt(192) - (sqrt(192)*2 + sqrt(192))**2))) + 5.\nAnswer: -8*sqrt(3) + 5186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let s be o(-3). Let f = -3 + -40. Let y = f + 44. Solve -y = -s*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -396. Suppose -6*l + 4*l + t = 0. Suppose -14*v + 17*v = l. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10049 = 3*j - 4*v, j + 4*v = 2029. Let d = j + -5941\/3. Factor 8\/3 + d*l**2 + 56\/3*l.\nAnswer: 2*(7*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(2\/63) assuming w is positive.\nAnswer: w**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 3, s: 3}. Give prob of sequence wwm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-51)\/(-21) + -1)\/((-9)\/126). Solve -i*n = -158 + 58 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 11285533?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -20. Let q(u) = u**2 - 4*u - 6. Let l be q(o). Suppose l*d - d - 30 = 0. Solve w + d - 1 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 967808.5ml in litres?\nAnswer: 967.8085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -2\/15, 1\/10, 8, -5, -312\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r - 23*r + 5*r + 6*r. Let x(g) = 4*g**2. Let d(a) be the second derivative of -13*a**4\/12 + 2*a. Let w(j) = 2*d(j) + 7*x(j). What is n(w(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 4603840.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12928, -12, -2, 6, 3 in decreasing order.\nAnswer: 6, 3, -2, -12, -12928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1880 = 40*x - 101*x - 127*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 8. Let z(g) = 8*g**3 + 2*g - 2. Let i be z(w). Suppose b + 4*u - i = -15, -3*b + 2*u + 209 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 109.524281749.\nAnswer: 109.324281749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 283*n**2 - 2*n + 92. Is 17 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 55 = 4*l. Calculate the remainder when 41 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 47*k + 34. Let u be q(-23). Suppose -4*h - 192 = -3*a, u*a - 6*a = 5*h + 325. Calculate the greatest common factor of 544 and a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/((-40)\/(-40405)))\/(6\/36)?\nAnswer: 3, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**5\/2 - 5*q**3 + 5*q\/2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12 = m, -2*m = 6*a - 5*a - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102320230 (base 4) to base 11.\nAnswer: -53134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvz when three letters picked without replacement from {z: 3, v: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56957 + 113953 - 56996 - 22*y**2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 356.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 7*n - 6. Let i = 10 + -3. Let a(f) = -f**2 + 7*f + 4. Let b be a(i). Does 5 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 7. Suppose 0*v = 3*v + f + 9, -3*f = 0. Let k be w(v). Which is the closest to 0.2? (a) 0.1 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53512 divided by -14\nAnswer: -26756\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345676.5nm to kilometers.\nAnswer: 0.0000003456765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2998*x**3 - 2974*x**3 + 4*x**2 - 4*x**2.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-20363)\/28*(-5 - -7). Suppose -5*i + 28006 = 896. Let j = c + i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/((-12)\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -33?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:27 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**3 - 5\/126*i**7 - 17*i**2 - 17\/72*i**6 - 1\/24*i**4 + 0 - 31\/180*i**5 + 0*i. Determine n so that w(n) = 0.\nAnswer: -3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - v + (-2 + 4 - 1)*(v + 5*v - 5*v) + 1 - 2*v - 1 - 4 + 4 - 2*v)*(22 + 4*v - 22)*(285 + 668 + 219).\nAnswer: -4688*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjht when four letters picked without replacement from tjhjjwthjwjjjjjjhhjj?\nAnswer: 44\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 - 6*l + 8. Let a(s) = -16*s**2 - 30*s + 41. Let k(c) = 2*a(c) - 11*m(c). List the prime factors of k(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let m(d) = 10*d. Calculate w(m(v)).\nAnswer: 200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74*b*l*v - 37*b*l + 17*b*v + 6*b wrt l.\nAnswer: 74*b*v - 37*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24276 + -23619. Sort -2, -1, n in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29247 is divided by 1090?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtxxtxxvtxddmdv. Give prob of sequence xvxx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-5\/6)))\/q*q*q*((q*q**6)\/q)\/q*q*q assuming q is positive.\nAnswer: q**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 - (2 - 136\/119)\/(28\/(-260))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let q(i) = -63*i + 32. Let x(k) = -32*k + 19. Let y(j) = -6*q(j) + 11*x(j). What is r(y(g))?\nAnswer: 1352*g**2 + 1768*g + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 136, -102\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -430*w - 76. What is v(1)?\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/(-644))\/((-7)\/(-7))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:54 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 33*h + 32. Let q(k) = 2*k - 1. Let r(c) = -f(c) - 3*q(c). Find the first derivative of r(x) wrt x.\nAnswer: -3*x**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-14)\/q*q)\/q)\/(q\/q**23) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.81 - -78.86?\nAnswer: -131.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*((sqrt(704) - (sqrt(704) + (sqrt(704) + -5 - sqrt(704)))) + sqrt(704)) + sqrt(704) - 6*sqrt(704)*-3))**2.\nAnswer: 13200*sqrt(11) + 441089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289437588 - 6*w**2 + 289437588.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 15*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 - 5*u**2 - 16*u - 28. Let f be q(8). Let n = f + 72. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2509 and 1\/46320?\nAnswer: 602160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272) - 5*(2*sqrt(272))**2) - (sqrt(272) - (sqrt(272) + -2*sqrt(272) + -1) - (-4 + -1 + sqrt(272))).\nAnswer: -5450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6250 and 1250?\nAnswer: 6250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 + 1110011?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19958368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 286 = -5*n, -5*x = -15 + 10. What is the highest common divisor of 1045 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -655, -2524, -5657, -10054, -15715?\n\"Answer: -632*c**2 + 27*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrppippkrrrkirrxkb. Give prob of picking 1 x and 1 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0449 - 0.8449. What is the closest to -42 in x, -0.5, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose 2*w + 2*w + 8 = q. Which is the second smallest value? (a) 4 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 3 (c) -1\/3 (d) -39\/2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 13 + 9*m - 9*m.\nAnswer: -2*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -5, -2\/7, -3, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v**6\/15 + v**5\/5 - v**4\/3 - 2*v**3\/3 - 24*v. Find q, given that j(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3173, 3172, 3171?\n\"Answer: -s + 3174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -12*y + 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909593957 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 12 + 54 = 0. Suppose 0 = 2*c + 10, -f*i + 110 = -i + 4*c. What is the greatest common factor of i and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.1 (c) 0.85 (d) 2.8 (e) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -479, 27, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + -4 - (-3704)\/(6 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4833 - 727.5167. What is the third smallest value in g, -2, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 26 = -2*j. Let l = -6 + j. Let a = l - 5. Solve c = 3*c - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/336 and -107\/44.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 11*q + 125. What is n(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3*w**2 + 2*w + 6. Let r be j(-4). Let d = -16 - r. Solve 2*q - x + 5 = 0, -q = d*x - 3*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 1. Let q be y(2). Put 2, -4, q in ascending order.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvkv when four letters picked without replacement from wwkwwvvvwv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.15 - -11. Let m = 0.21 + h. Sort -0.4, 3, m.\nAnswer: -0.4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2178\/30 + -6)*(-105)\/(-63). Solve 102*i - t*i = -9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 264. Suppose 5*m = 17 + v. Let w(t) = 15*t**2 - 1. Let s be w(-1). What is the greatest common divisor of m and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72601 = -5030*o + 4111*o for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(15)\/sqrt(12) - (-2*sqrt(5)*5 + sqrt(5))).\nAnswer: 3 + 19*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4764.16kg to milligrams.\nAnswer: 4764160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1452\/30492)\/((-2)\/84*-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1b6 (base 13) to base 14\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 46076.\nAnswer: -23038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m - 62. Calculate the remainder when m is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 + -158.00012. What is y rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*g + 26074, -7*g + 9*g + 13036 = -2*r. What is g rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/((-2)\/9 + (-64)\/36). Suppose 0 = o - z*o, 5*o = 4*p - 96. Solve 0 = 4*i + 4*b - p, -4*b + 20 = -0*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 942773394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81277 is divided by 175.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3 (b) -0.3 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (354\/(-649))\/((-27)\/(-396)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-136)\/12)\/(8\/36). Let a = -45 - f. What is the first derivative of -8*x + 2 + 1 + a - 5*x wrt x?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d - 25. Let x be l(5). Determine g, given that -g**2 + 147*g - 82*g + 6*g**2 + x = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccciciccciicccccic. Give prob of sequence ici.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*s**2 + 1 - 1 + 24*s**2 to the form b*s + w + j*s**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614, 591, 562, 527, 486, 439?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(125) - (sqrt(125) + sqrt(125) + 2 + sqrt(125) + sqrt(125)))**2 + (sqrt(720))**2.\nAnswer: 60*sqrt(5) + 1852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4 + 16*z**3 + 24 + 2*z**4 + 12 + 3*z**4 - 48*z - 8*z**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107928 and 1184?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -909 + 927. Calculate the smallest common multiple of u and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 23, 53, 101, 173, 275?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/6)\/((-9)\/(-108)). Let g(h) = 3*h - 60. Let l be g(12). Let v = x + l. Which is smaller: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 202 = 34. Let l = k - -60. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 1. Suppose -36*f + 3 = -33*f. Let t be a(f). Let k = t + 15. Solve 4*p - 8 - k = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghpegeheheend. Give prob of sequence ee.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217786?\nAnswer: 2, 108893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)**(3\/13)\/(x**2\/x)**(2\/13) assuming x is positive.\nAnswer: x**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/17778 and -23\/18.\nAnswer: 53334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 6*c**2 + 6*c - 1. Let a be d(5). Let x be (-9)\/(-4) + (-1)\/4. Solve -p - a*u = 6, -3*u + u - 6 = x*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*q - 2 - 9, -q + 2 = 0. Suppose -2*i + 12 = 2*g, -2*g + 0 = -5*i + 2. Is i - 1\/(d\/47) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 5*s + 4. Let y be a(3). Suppose k - 150 = -5*k. Let r(q) = -q + y - k. Let l(o) = 40*o**2. What is r(l(x))?\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 6:53 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 4*d**4 + 0*d**4 + (4*d**2 - 12*d + 12*d)*(3*d**2 - 4*d**2 - d**2) + 6*d**4 - 4*d**4 - d**4.\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 578 - 381. Suppose 0 = -2*l + j + 83, 2*l - 7*l - j + p = 0. Let m = l + -27. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29204 and 115542.\nAnswer: 34431516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -3. Let f(x) = -x**2 - 8*x - 9. Let l be f(b). Let i be 56 - (3 - l\/3). Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 300. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1\/20*a**5 + 0 + 11*a + 1\/8*a**4 + 1\/360*a**6 + 0*a**2 + 7\/3*a**3. Let r(p) be the second derivative of x(p). What is r(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 3 - (14 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 3*h**2 - h + 2. Let l be i(-3). Suppose -2*s - l*o + 31 = 0, 21 + 28 = 3*s + 5*o. Let j be (4\/s)\/((-8)\/(-30)). Are 2 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70908 at least 0.43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.069 + 0.069. Let o = 10.289 + -0.189. Let v = o + q. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 4*q**3\/3 + 46*q**2 - 96*q + 493. Factor z(o).\nAnswer: 4*(o - 1)*(o + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 107, 418, 935, 1658, 2587?\n\"Answer: 103*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 320098 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 4*g)*(-g**4 + 2*g**4 + 0*g**4).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 585\/(-234)*(-3)\/(30\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**6\/2 - 39*q**5\/5 - 9*q**4 + 176*q**3 - 96*q**2 - 720*q + 1919. What is s in x(s) = 0?\nAnswer: -10, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22488, -22542, -22626, -22734, -22860, -22998, -23142?\n\"Answer: t**3 - 21*t**2 + 2*t - 22470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -5997.4655?\nAnswer: -5998.4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, h: 5, v: 3, k: 5}. What is prob of picking 1 h and 3 k?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnifla. What is prob of picking 1 n and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = -5*a + 515, a - 114 = 2*p. Suppose -a = -4*b + 100. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 18. Let t be s(-18). What is the hundreds digit of ((-168)\/30 + 6)*(t + 870)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from slyslfllyyll?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -43*n**2. Let z(k) = -1. Let u(h) = h + 6. Let j(a) = -u(a) - 4*z(a). Let g(p) = -7*p - 8. Let c(q) = -g(q) + 4*j(q). Calculate c(m(i)).\nAnswer: -129*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*y - 8 + 32 = 0, q + 4 = 2*y. Suppose -4*f - 2*k = -q, 31*k = 3*f + 32*k - 1. Are f and -40.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 11:37 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.9. Let x = 0.0999957 - v. Round x to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + 0 + (sqrt(13) - sqrt(52)\/sqrt(36)).\nAnswer: 32*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 385, 386, 383, 376, 365?\n\"Answer: -2*j**2 + 7*j + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18))\/((48\/(-18) + 2)*(-819)\/546)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t = -30*t - 99*t + 1122 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*w**3 - 312*r**2 + 4*r*w**3 + 11*w**3 - 3 wrt r?\nAnswer: 12*r*w**3 - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 7.\nAnswer: -135\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002623482 rounded to five dps?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 474?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/234 + (-11319)\/637?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65267.592 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -53, -95, 110, 3 in increasing order.\nAnswer: -95, -53, 3, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1339060 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z**(-1\/3)\/z))**(-1\/19))**(9\/7))**(-36) assuming z is positive.\nAnswer: z**(1080\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302384*l**2 - 4 + 302384*l**2 + 4 - 19*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445457 is divided by 110336.\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -5*v + 186. Is (v\/(-14) + 8)*-1382 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/112 and -85\/4976.\nAnswer: 34832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/6 - 8\/12. Let n be 8\/3*(-1 + g). Calculate the common denominator of 29\/11 and (-479)\/n + 28\/70.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 5. Let b(z) = 1. Suppose -5*r + 5*q = 0, -2*r + 6 = 2*q - q. Let a(d) = 2*d**2 - 2*d + 6. Let l be a(r). Calculate l*b(v) + 2*s(v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -174. Suppose 5*f + 5*i = v + 864, 4*i - 392 = -2*f. Find the second derivative of 7*x - f - 2*x - 7*x**5 + 198 wrt x.\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 14. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476228 divided by -1.\nAnswer: -476228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*p + 8*p + 21*p - 540 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/11 in -1\/2, 4\/7, 20, -3\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 at most 318802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-30) - 1543099\/5) + 1. Let h = -218519 - n. What is h rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y - 4*y - 8*y to the form w*y + q and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 43. Let q(w) = -30680*w - 221. Let m(t) = 833*t + 6. Let i(k) = -221*m(k) - 6*q(k). Give l(i(p)).\nAnswer: -13*p - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 0*f**4 + 3\/2*f**2 + 3\/5*f**5 - 4 + 0*f**3 + 0*f. What is the second derivative of r(b) wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (-2)\/(-3)*126\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a + a**2 + 17*a + 7*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 2*r**2 - 4*r**2 + 7*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.5 - 34. Let x be 4\/(-34) - (1 - 1). Put q, 6, x in descending order.\nAnswer: 6, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716 (base 8) in base 3?\nAnswer: -122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134134\/(-1876)*(-6)\/(-66)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32754, -65432, -98030, -130548?\n\"Answer: 40*k**2 - 32798*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 + 100.24. Let h = t + 2.79. Let y = h - -0.89. Round y to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.47, 5, 1, 2804 in ascending order.\nAnswer: 0.47, 1, 5, 2804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 12*h**2 - 11*h + 4. Let i be z(-11). What is the third derivative of -7 + l**i + l**2 + 7 + 5*l**4 wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.6. Which is the biggest value? (a) m (b) -0.4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) -5 (b) 5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86\/181 + -412\/1629. What is the fourth biggest value in -3\/5, -35\/4, y, 0?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 + 319*g**2 - 10*g - 16.\nAnswer: 6*g + 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0095155 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -630, -942, -1254, -1566, -1878?\nAnswer: -2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 2*q**3 - 3*q - 84*q**3 - 109*q**3 - 4*q**3 + (2*q - 2*q + 4*q)*(-2*q**2 + 2 - 2).\nAnswer: -203*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -103 + -2?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165530912?\nAnswer: 2, 79, 65479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 220387.059 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/360 - f**5\/45 + 67*f**4\/72 - 55*f**3\/9 - 2*f**2 + 251*f. Factor g(y).\nAnswer: -(y - 5)*(y - 2)*(y + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28271?\nAnswer: 17, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 2. Let f be y(6). Let n(m) = 13 + 7 - 30 + f*m + 11. Determine n(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2676 times 0.5?\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, v: 3}. Give prob of picking 1 n and 3 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 != -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**3 + 3*h**4 + 7 + 4787*h + 4*h**4 - 6 + 1638*h + 7*h**2 - 159*h wrt h?\nAnswer: 84*h**2 + 30*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/28206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247318039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233 + 42. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1761995 divided by 1761995\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*g + 158 = -2042 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + 20*q - 2. What is the lowest common multiple of 595 and d(-13)?\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + ((-4 + 0 + sqrt(2057))**2 - sqrt(2057))*-5 + (4*-1*(0 + sqrt(2057))*-3)**2).\nAnswer: -285847 - 495*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 350610 in decreasing order.\nAnswer: 350610, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 150\/(-14) - 2\/7. Let r be s\/(-3 - 44\/(-16)). What is the greatest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*w**3 - 695*o**3*w**2 + 35*o**3 + 1108694*o**2*w**3 - 4*w wrt w.\nAnswer: 12*o**3 + 6652164*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -0.48. Let g = 0.03 + 3.97. Let k = 7 - g. Which is the closest to y? (a) -2\/3 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from {t: 2, l: 4, y: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyuyyyyuyy. Give prob of sequence yyyy.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34501006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 553 + 115. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -844*g**2 + 6*g + 16. Let q(v) = 211*v**2 - v - 4. Let x(t) = 2*b(t) + 9*q(t). Differentiate x(c) with respect to c.\nAnswer: 422*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23194, -24904, -26632, -28384, -30166?\nAnswer: -31984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22111.12217 - 22111. What is g rounded to three dps?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6, -4*n - g + 3*g + 4 = 0. Suppose 22 - n = -o. Does 8 divide (-5)\/1*64\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((-6)\/(-16)*((-370)\/(-6))\/(-5))?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -3353*l**3\/2 - 13*l**2 + l + 16. Is j(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/9)\/((-4)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 62552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/78 + (-2)\/(-6). Suppose o + 2*v = -3 - 3, 0 = 3*o - 2*v - 6. What is the closest to -2 in 0.2, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -17, -54, -127, -248, -429, -682, -1019?\n\"Answer: -2*s**3 + s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*i**3 + 54*i**3 - i**2 + 2*i**2 as r + l*i + s*i**2 + v*i**3 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 1 - 2 - 2. Suppose 0 = -5*i + h*i + 9. Let m(j) = j**2 + 2*j. Let b be m(-3). Solve -i*a = -b + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s - 5. Let f(v) = -222*v + 144. Let h(m) = 17*m - 11. Let l(w) = -2*f(w) - 27*h(w). Give 11*g(r) + 6*l(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let q = 14 + -12. Let t(l) = -l. Calculate q*u(i) + t(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8602 = 34*i - 24242. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:28 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.2, 2\/3, 1.89?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -110. Let y be (2\/(-15)*-3)\/(11\/f). Is 10 a factor of 172\/6 + (56\/(-21) - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1128208 and 587828.\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065544.1207 take away 0.5?\nAnswer: -1065544.6207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252686 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -347346.47 and 5.\nAnswer: -347341.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2120 + -2117. Find r such that 4\/25*r + 0 + 2\/25*r**2 - 2\/25*r**v = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -q - 26, 0 = -3*w + 2*q + 4 + 13. Let p(b) = -b**2 + 3*b - 1. Let l be p(w). Let y(c) = -5*c**2 - 26. Let o(d) = -d**2 - 5. Give l*o(t) + 2*y(t).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n - 2. Let w be -2 + 2*-2 - -2. Let l = w + 7. What is the remainder when h(-6) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m**4 - 19*m**4 - 34*m**4 + (0*m**2 + 3*m**2 - 2*m**2)*(3*m - 3*m + m**2 + (0*m + m + m)*(m - 2*m + 0*m) + 25*m**2 - 14*m**2 + 26*m**2).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g + g - 3*g + 4 + 3*g**2 - 1. Calculate the remainder when 19 is divided by p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*n + 21 + 843 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 42*d - 364. What is the remainder when 823 is divided by h(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f**2 - 467*f + 342. Determine t(-39).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:30 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 22*f - 4 + 14 - 3*f - 4 + f**2 in the form q*f**2 + w + d*f and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14481\/38 + 760051\/2090. Let o = f + 240\/11. Determine c, given that 22\/5*c**4 - o*c**3 + 4\/5 + 4*c**5 + 2\/5*c - 26\/5*c**2 = 0.\nAnswer: -1, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192 (base 10) to base 15.\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284709 less than 1284699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 1, k: 1}. Give prob of sequence ttk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-35))\/((-15)\/(-21))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20 and 111\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 57*r**3 - 7*r**2 - 2*r + 4. What are the prime factors of s(2)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 7*z**2 - 7*z - 9. What is y(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24371554 divided by 106426?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + 55 + (-4)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 199.63953 and -3.\nAnswer: -598.91859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/212056 and 109\/81560.\nAnswer: 1060280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3293 + 15686. Calculate the greatest common factor of g and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111203000 (base 4) to base 3.\nAnswer: 11111001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -36.\nAnswer: -97\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(120)\/(sqrt(196)*1))\/(sqrt(726)*2*-6*1).\nAnswer: -sqrt(5)\/308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -39. Let l(j) = 5*j**2 + 10*j - 1. Let q be l(-5). Suppose -q + i = -4*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-32))\/(2\/((-128)\/8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(34)\/sqrt(450))**2 + ((sqrt(425) + 0)**2 - sqrt(17)) + sqrt(17) + (sqrt(17) + (2 + sqrt(51)\/sqrt(3))**2 - sqrt(17)))*6.\nAnswer: -200734\/75 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1281, -298, 1333, 3606, 6515?\n\"Answer: -h**3 + 330*h**2 - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.08 + 25.08. What is the second smallest value in -2, 0.4, -4, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/263 + 669\/5260. Let y(a) be the first derivative of -g*a**4 + 1 + 3\/10*a**2 + 1\/15*a**3 - 1\/5*a. Factor y(h).\nAnswer: -(h - 1)*(h + 1)*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, 267 in ascending order.\nAnswer: -5, 14, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3474, 3468, 3460, 3450, 3438, 3424, 3408?\n\"Answer: -s**2 - 3*s + 3478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + 4*a**2 + (0*a - a + 3*a)*(4*a - a + 0*a))*(a**3 - 5 + 5).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 5. Let l = 35 - 21. Calculate the remainder when s(-3) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {a: 6, l: 2, g: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5000839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3916493062 to the nearest integer?\nAnswer: 62582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 319.\nAnswer: 6699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 2*v**5 - 3*v**5 + (-2*v**2 - v + 2*v**4 + v)*(-5*v + 0*v + 3*v).\nAnswer: -2*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 27593 - 27593. Let c(j) = -j**3 - 4*j**2 - 3*j. Suppose -3*p = 5*w + 1, -5*w - 4 = -2*p + 12. Let r be c(w). Calculate h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 6 - 19 = 0. Sort b, 3, 5 in descending order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 691 + -655. Calculate the remainder when 90 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**6\/10 - b**5\/20 - b**4\/4 - 71*b**2\/2 + 165*b. Find the third derivative of g(d) wrt d.\nAnswer: -72*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, 2, 7.7, 1591, -5, -5\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.073791 and 1569.\nAnswer: 1568.926209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8*-6)\/((-9)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/((-1232)\/216) + (-8)\/(-14). Let l(d) be the second derivative of 2*d + p*d**2 + 0 + d**3. Differentiate l(y) with respect to y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d = -40*d + 20. Let a = -95 - -91. Is a at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, y: 6, b: 4}. What is prob of picking 1 y and 3 b?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*-2)\/sqrt(5))\/(sqrt(4)*-2*2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwla when four letters picked without replacement from wwdadlxwdxw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0.01, -4\/33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by (94\/(-4))\/(((-77)\/22)\/7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + 2*n**3 - 2*n**3 + (0*n + 2*n + n)*(-4*n**3 + 3*n**3 + 3*n**3) + (3*n + 9 - 9)*(0 + 3*n**3 + 0).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*w + 285 = 677 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = a - 5*r, 0 = 31*r - 27*r + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = -5. Solve 0 = -3*g + 3*r, -5*g + 5 = l*r - 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h + 5*v, -22 = -4*h + 4*v + 22. Calculate the least common multiple of 14 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 15.99. Let r = h - -19. Put -0.2, 1\/7, r in descending order.\nAnswer: r, 1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3 + 3 + 2 - 4 + (-2 + 1 + 0)*(4 - 3 - 3))*(6 - 1 - 2)*(-3*a**2 - 3*a**2 - a**2) to the form w*a + j*a**2 + t and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 922678 and 1482.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**8\/1680 + k**7\/1050 + k**6\/300 + 7*k**2. Determine m, given that v(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdpdppppppdpddpdppp. What is prob of sequence dpdp?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 954, 5474, 13008, 23556, 37118, 53694?\n\"Answer: 1507*a**2 - a - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 7*r**2 + 3*r - 13. Let w be s(7). Are 91\/11 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Let p(o) = -o - 13. Let b be p(-16). Let l(k) = -4 + m + k**b - 3 + 1 + 7*k**2. Give l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391088 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 142.41881\nAnswer: 14.241881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 244 + 671. Suppose 2*n = -0*n + c + 93, -a = -4*n + c. Calculate the remainder when 44 is divided by (-2)\/(((-42)\/n)\/7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q - 70. Let l(x) = 26*x - 112. Let w(g) = -5*l(g) + 8*t(g). Let c(z) = -2*z + 2. Determine c(w(m)).\nAnswer: -12*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.894772mg in micrograms?\nAnswer: 1894.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 917864, 1, -1 in ascending order.\nAnswer: -1, 1, 917864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -5. Let s = c - -19. Suppose -5*x + 36 = -s. Solve i + 2*k + x = 2*i, 2*i - 8 = k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r. Let z(t) = t. Let q(u) = 2*d(u) - 6*z(u). Let a(m) = 2*m**2. Let f(k) = -4*k**2. Let c(h) = -9*a(h) - 4*f(h). Calculate q(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(242) + -1*sqrt(242))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = h - 4*h. Suppose -r - g + 1 = 0, -23 = r + h*g - 18. Solve -r*d - 28 = -10*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2, 11*o + 5*n = 15*o - 30337. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4856*c + 4869*c + 52 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = f - 5*v + 700, 4*f - 104 = 4*v. What is the highest common divisor of 1072 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460 by 39968.\nAnswer: 115\/9992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.1108687903 + -0.032.\nAnswer: -52.1428687903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 - -1 - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2767 + 0.3467. Which is the smallest value? (a) f (b) -0.5 (c) -3 (d) 0.18 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*g**4 - 485*g**3 - 435*g**2 + 2205*g + 270 = 0 for g.\nAnswer: -2, -3\/25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216167 by -30881.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 272\/5039249 or -1?\nAnswer: 272\/5039249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.98 - 43.98. Let p(l) = -7*l + 1. Let x be p(-5). Let q be 0 + -2 - x\/(-17). Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let p(x) = -122609*x. Determine d(p(b)).\nAnswer: 15032966881*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2.2 (c) -13648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 3*o**2 - 5*o + 3. Let x(g) = -2*g**3 - 3*g**2 + 4*g - 2. What is 2*w(s) + 3*x(s)?\nAnswer: -2*s**3 - 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1252335, -2504412, -3756489, -5008566, -6260643, -7512720?\n\"Answer: -1252077*j - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 479791 by 167.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -8*f + 32. Which is the biggest value? (a) -0.3 (b) f (c) 2\/17 (d) 438\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47568180 by 5.\nAnswer: 9513636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*q**2 + 846*q - 2518 wrt q.\nAnswer: 8*q + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:46 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 12 = -3*f, -4*s - 3*f - 3 = 0. Suppose -s*q + 5*r + 6 + 9 = 0, -9 = -5*q + 3*r. Let p be 0 - ((-10)\/(-4) - 2). Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -4 in decreasing order.\nAnswer: 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/35 and 22\/9.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/89100 and 1\/103950?\nAnswer: 623700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -24*g + 55. Let h be v(-24). Suppose -h = -6*b + 1295. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + (-536)\/(-120))\/((-3)\/9). Let l be ((-13)\/(-39))\/(2\/3 + 1). Sort s, 0, l in descending order.\nAnswer: s, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1. Let w(y) = -y + 10. Let g be w(9). Let o(q) = -q + 5. Calculate g*o(n) + 4*v(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**5 - 3*a**5 - 3*a**5 + (0*a**2 + a**3 + 0*a**2)*(-2*a**2 + 18*a**2 - 2*a**2 + 2))*(1 + 0 + 0).\nAnswer: 10*a**5 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -3*m + 11*m + 7 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 51 = -2*o + 4*a, 4*a = -3*o - 104. Let v = 33 + o. Let s be ((-2500)\/344)\/v + 6\/4. Are s and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y. Let p be o(-3). Let j = 19 + p. Suppose -196*q + 510 = 118. Solve 4*i + j = -2*t, -6*t + q*t + 45 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 36. Suppose 0 = 3*f + a - 47, -5*f + a = -91 + 10. Let s be i(f). Let h(o) = -o**2 - 6*o - 2. Let q be h(s). Solve -15 = -r + q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 10 - u + 2*u - 3*u + u**2 - u**4 to x + h*u + a*u**3 + c*u**2 + o*u**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 4*y + 2. Let w(n) = -3*n**2 - 5*n + 1. Let h(p) = 4*p**2 + 6*p - 2. Let j(q) = -4*h(q) - 3*w(q). Let t = -15 + 11. What is t*j(g) + 9*o(g)?\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 201269 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + w = 4*w + 8, -4*d - 2*w = -8. Solve -x = p, x + p = -d*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 94*a + 2. Give n(1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*w - 178 = 0, -5*w - 25 = -5. Suppose -g = 5*x + k, x - 2*x + 3*g = 33. Let f = x - -21. Which is bigger: f or 9\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1.96 (c) -7 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -1. Let n = -4 + 3.1. Let y = 0.9 + n. What is the nearest to y in -5, c, 4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3146) + (-2*sqrt(3146)*-1 - sqrt(3146))))\/((sqrt(3200) + -2*sqrt(3200) + sqrt(3200) + sqrt(3200))*2).\nAnswer: 11*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -33. Let l be 0 + a - 0 - -17. Suppose l + 106 = 3*c. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*v - 28, -2*v - 1 = -2*h - 5. Let t be h\/(-4) - (-61)\/(-4). Let m be ((-3)\/(-2))\/(6\/t). Let i(d) = d**2 + 4*d + 3. Determine i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27.23888 litres?\nAnswer: 27238.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -644.\nAnswer: -644.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 + 1571*o\/3 - 2468041\/6.\nAnswer: -(o - 1571)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -5cc63?\nAnswer: 5cc61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c**2 - 2*c**2 - 392*c**3 + 36*c**2.\nAnswer: -392*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, 9, -8, 40, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*t - 6. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20661)\/(-459) + (-672)\/51408.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7150 - -7164. Solve 0 = -6*i + 3*i - o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1 + (-1 - 1)). Suppose 345 = 5*z - b*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 663064631 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 5 = 65 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let f(k) = k**3 - 7*k**2 + 6*k. Let s be f(6). Let i(p) be the second derivative of 0*p**3 + 1\/12*p**4 - 2*p + s*p**2 + 0. What is d(i(y))?\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33448 - 1?\nAnswer: -33449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 133\/3. Which is the closest to z? (a) 0.1 (b) 5\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a + 72 = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2308.\nAnswer: 7\/2308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/468 + (-22)\/99 - (-70)\/(-455)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*h - 129*h + 41*h**2 + 70 - h**4 - 24 - 46 as r*h**2 + x*h**4 + a + y*h + t*h**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 3*k**2 - 3*k. What is q(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3293496 divided by -2.\nAnswer: -1646748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*g = 24542 + 12718 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58660860.\nAnswer: 2, 3, 5, 977681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.049 + -0.951. Suppose 3*u = v + 5, 0*v - 8 = -2*u + 3*v. Which is the second smallest value? (a) -0.5 (b) -10\/9 (c) q (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.4 + 0.4. Sort -3, p, -0.2 in decreasing order.\nAnswer: -0.2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3)*l**(-16) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4239060?\nAnswer: 1\/1413020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*t**3 + 273039 - 2*t - 273039.\nAnswer: -132*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3\/15 - 7. Factor i(g).\nAnswer: g**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 179, 385, 615, 875, 1171?\n\"Answer: o**3 + 6*o**2 + 181*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)*a*a*a*a**(5\/3)*a)\/((a*a*a**(-1)*a*a)\/a)**(-3\/7)*((a\/a**4*a)\/(a\/(a\/a**(-2\/13))))\/((a*(a\/(a*(a\/a**6*a)\/a))\/a*a)\/a**4) assuming a is positive.\nAnswer: a**(6667\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -4 (c) -0.057 (d) -2 (e) -1\/6 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -208 and -0.098.\nAnswer: 20.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 68\/(-20))*-5. Let h = 4 + z. Suppose 2*q - 5 = 5. Solve -q = l + g, g + 11 = -2*l - h*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36823 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2684*m + 397204. Calculate p(148).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -384\/7*r + 0 + 28*r**3 - 184\/7*r**2 - 4\/7*r**4 = 0.\nAnswer: -1, 0, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110424 by -6.\nAnswer: -18404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2465*b + 95. Let s be x(4). What are the prime factors of (5\/(-25))\/((-11)\/s)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 268 + -223. Is 26 a factor of (-39)\/(6 - u\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -38, -54, -68, -80, -90, -98?\n\"Answer: s**2 - 21*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 3676*f\/9 + 1689122\/9.\nAnswer: 2*(f - 919)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(60\/(-27)*(-27)\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105757 divided by -6\nAnswer: 105757\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 12*b**2 + 2*b - 6. Let k be 9\/(-6) - 81\/(-6). What are the prime factors of j(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1170)\/(-351))\/(10\/4)*(-162)\/(-828).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3 + 2)\/(1 - -2). Let t(b) = -2*b**2 + 2*b - 380. Let s be t(v). What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -257928, -515987, -774046?\n\"Answer: -258059*d + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/11 (b) 1\/7 (c) 0.5 (d) -12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 33*w**3 - 21*w**2 + 21*w - 21. Let r be (-112)\/(-42) + 4\/(-6). Let h(f) = 0*f - 4*f - 8*f**3 + 5 + 5*f**r - f. What is -21*h(q) - 5*y(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - i**2 + i**2 - 5*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, 2303, -34?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -740 + 8847*i**2 + 255 + 248 + 237 + (-i - 1 + 1)*(i + 2 - 2).\nAnswer: 8846*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 8\nAnswer: -195\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - -5 - -8) + 2 + 0. Suppose 13*q - 14*q + n = 0. Let k(r) = -r**3 + 11*r**2 - 4*r - 12. List the prime factors of k(q).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 125 + 52. Let a = -81 + i. Let s = a + 53. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222321553 (base 6) in base 13?\nAnswer: ab5403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/((-138)\/(-575)). Which is smaller: g or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1025*x**2 + 513*x**2 - x - 43 + 510*x**2 in the form g*x + f*x**2 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + sqrt(57)\/sqrt(3)) - sqrt(19))**2 - (sqrt(171) + 2).\nAnswer: -3*sqrt(19) + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) + (-230)\/(-55). Suppose -6 - 2 = -t*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028201 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 306997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 728, 1495, 2258, 3017, 3772?\n\"Answer: -2*j**2 + 773*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 7 + -25 + 4 + -11.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 - 302. Solve g - 3*p + 5 = 2*p, -4*g + 2*p + 16 = a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.843 * -1160012\nAnswer: 977890.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003880720696 rounded to six dps?\nAnswer: -0.000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(w*w**(1\/6)*w))\/(w**7*w*w\/w**10) assuming w is positive.\nAnswer: w**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/9*(-93)\/(-8). Let m = 14\/3 - z. What is the common denominator of -99\/20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-3) - (-4 + 2). Let q = 1549 - 3101\/2. Let n = -198 + 2576\/13. Which is the closest to -1\/2? (a) w (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 197.342?\nAnswer: 197.342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23522 - 2446349\/104. Find the common denominator of b and -49\/10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*p + 4*p**3 - 27*p + 4*p**3 + 42*p + 119 wrt p?\nAnswer: 24*p**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1107 + -1083. Let c(b) = 6*b**2 + 2*b. Let s be c(2). Let u = 52 - s. Are u and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11531144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -4 + 4)**2 + -1 - (0 + (sqrt(112) - (0 + sqrt(112) + 1))).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:37 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z + 4 + 131*z**2 - 4 - 20*z - 19*z.\nAnswer: 131*z**2 - 60*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3\/3 + 32*n**2\/3 - 3*n - 6.\nAnswer: -(n - 6)*(n - 1)*(5*n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-411)\/(-45) + 84\/112*-12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-416)\/(-2380) - 24\/420?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10491 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.12 + 3. Let i = d + 0.26. Let q = -1.14 + i. Which is the closest to q? (a) 4 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 25*f - 562. Let y be s(15). What is the greatest common divisor of 950 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/250 in -5, 2\/15, -2\/3, -2, 2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4722, 19351, 43886, 78327, 122674, 176927?\nAnswer: 241086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from syhwssssyysh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 - 3*u + 17. Let i be s(-5). What is the greatest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8304952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 0.08, -2\/11 in descending order.\nAnswer: 5, 0.1, 0.08, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3274 = -514*k - 4407 - 3897 + 784 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 + 284. List the prime factors of x.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -87 in 8\/5, 0.5, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21229 and 408321?\nAnswer: 122087979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 861 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 9:30 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 170595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143155428.\nAnswer: 2, 3, 13, 43, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(42 - (-85629)\/(-2040))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 3725*w + 340 = -3722*w, -3*g - 3*w = 108 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxyyft. What is prob of sequence yx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 208658*d - 8075. Let o(r) = -155*r + 6. Let a(b) = 6*j(b) + 8075*o(b). Let w(c) = -c. Determine a(w(g)).\nAnswer: -323*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 165, 344, 585, 882, 1229?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58173409 to the power of 1\/2, to the nearest integer?\nAnswer: 7627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 11*g - 13*g. Suppose g = -5*w + a + 1440, -3*w + 6*a + 866 = 5*a. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*i + 90 - 18, 4*i - 4*t + 2 - 82 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q - 5. Calculate the remainder when 27 is divided by q\/(((-27)\/(-30))\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 104 - 62 - j - 250.\nAnswer: -j - 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6192 and 97\/916?\nAnswer: 1417968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2400) + sqrt(24) - sqrt(24) - sqrt(24)) + sqrt(24))\/(3*sqrt(588)) + 4*((-2*sqrt(288))\/sqrt(12))\/(sqrt(12) + -2*sqrt(192)).\nAnswer: 4*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 + q**2 + q**2 + 48 - 3*q**2 in the form z*q + u*q**2 + k and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8, -3*n - 2*n = -4*p + 11. Let k = n - -3. Factor -4*b**3 - 2 + 4*b - 3*b + 2*b**k + 3*b + 0.\nAnswer: 2*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13*o**2 - 19*o + 1. Calculate t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125233837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -11*t + 115. Which is bigger: t or 113\/8?\nAnswer: 113\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11536000 rounded to the nearest one hundred thousand?\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161447 divided by 13.\nAnswer: -12419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Suppose -37 = -5*k + 3*r - 7*r, -2*k + 4 = -m*r. Is 5 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8911.\nAnswer: 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100 + 1?\nAnswer: -100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m - m. Let i = m + -12. Let f(z) = z - 1. Let s(u) = 2*u + 4*u - u - 5 - u. Calculate i*f(l) - s(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8060 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 - (-6 + (3 - 1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 + 8*n + 1. Give q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000974903 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 63*i - 39*i. Suppose -71 - 208 = -3*o. Is 8 a factor of (6\/(-4))\/(i - o\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = -4*r - 0, -2*k + 9 = r. List the prime factors of 9 - r - (4 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.49 in 1, -54.9, -3, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 3673.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6949598879 - -9950469385. Let o = -3000870565.99999946 + a. Let d = o + 60. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 741 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11206423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 18346239*c - 18346236.\nAnswer: -3*(c + 1)*(c + 6115412)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1228 divide 558017096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 10*u + 72. Let v be n(11). Suppose 11 + v = -9*g. Is -38\/5 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6))**(-1)*(v\/(v*v*v**(-18)*v))\/v*v*v**9\/v*v assuming v is positive.\nAnswer: v**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(0*f**2 + 0*f**2 + 2*f**2) - 64*f**2 + 325*f - 325*f + (-5 + 1 + 2)*(-f**2 - 2*f**2 + 4*f**2).\nAnswer: -62*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 43451223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -2\/5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/((-192694)\/(-2360)))\/((-6)\/(-23))*(-183)\/5.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 2\/3*w**3 + 1\/15*w**6 - 1\/5*w**5 - 1\/6*w**4 - 7*w + 0 + 0*w**2. Factor r(o).\nAnswer: 2*o*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.04 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787212 is divided by 2400.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*2*3*-3*3*-5 + -5.\nAnswer: -5 + 2970*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + f - 75 - 35 = 0, -4*w = 3*f + 230. Let j = -49 - w. Which is the second biggest value? (a) 5 (b) j (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36590 - 36551. Solve 37*q + 4*o + 10 = w*q, 2*o + 20 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 40. What is the lowest common multiple of 5 and (s - 24\/(-9))*12 - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 68. What are the prime factors of 2\/r*(29 - 5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1288\/12621*(-6)\/116. Let x = 325799285\/191719 - u. Let k = -1702 + x. Calculate the common denominator of 12\/5 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/745 and 34\/1639.\nAnswer: 8195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*o + h, -2*o = 3*h + 60 - 41. Let q(w) = -w**3 - 8*w**2 - 3*w + 72. Calculate q(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3316b - -64?\nAnswer: 33213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - -0.1. Let w = p - 0.44. What is the closest to w in 5, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + f + 17. Let p be i(3). Sort p, -5, 5, -8.\nAnswer: -8, -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/18)\/((-116)\/(-26100)*-15).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1817*i**2 + 325*i - 3630*i**2 + 1818*i**2 - 325*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - 243. Let m = j + 282. Solve 3*u + 5*z - 3 - 1 = 0, 2*u - m = -z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2526 - -2580. Let m = 29 - -10. Let a = w - m. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2630562 (base 10) to base 4\nAnswer: 22002032202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. What is the remainder when 17 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1113312 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-24)\/(-440)*15\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z + 1378 + 12534 = 65*z - z for z.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q + 4*q - 9*q + (-3 + 5 - 4)*(0*q + 0*q - 2*q + (9*q - 7*q + 15*q)*(-4 + 5 + 1)).\nAnswer: -65*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-1315)\/(-4) + 40*18\/576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 789, 1759, 3113?\nAnswer: 4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -38. Let z = c + 28. Solve 2*f = -2*f - z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93374*r**2 + 1 + 93377*r**2 - 1.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*l - 23*l = 17794733. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*h - 110 + 152 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3. Suppose y*f - z - 13 = 0, -6*f - 5 = -5*f - 5*z. Suppose j - 4*j = -5*c - 12, 2*j + f*c = 33. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -235838\nAnswer: 3\/117919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -5 (c) -2 (d) 80 (e) 0.242\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -s - 30, 4*s = s. Is c <= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2 (c) 7 (d) 937 (e) -1\/4 (f) 573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) - 2*sqrt(171)))**2*1 - sqrt(209)\/(sqrt(77)\/(2*sqrt(7)))) + -5.\nAnswer: -2*sqrt(19) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -911, -2118, -3807, -5972?\nAnswer: -8607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afqa when four letters picked without replacement from {w: 1, f: 1, q: 9, j: 6, a: 2}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37 times 0.3?\nAnswer: 0.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 5:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d + 1. Let p(o) = -574 + 571 + 4*o**2 + 2*o**2 - 4*o**2 - 4*o + 11*o**3. What is -p(r) - 4*z(r)?\nAnswer: -7*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**3 + 226*x**2 - 352*x - 223. Give t(-58).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57837\/6120 - 2 - 5. Let p = -1\/2040 + s. What is the common denominator of (-3)\/6*(-309)\/(-18) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/120 - h**5\/60 - h**4\/6 - 4*h**2. Let o = -468 - -471. Is 6 a factor of y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = m, 4*m - 2283 = -8*o - 2255 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/19 + 2236*a**2\/19 + 635992*a\/19 + 6138320\/19.\nAnswer: 2*(a + 10)*(a + 554)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -7618?\nAnswer: 1\/3809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/154 + 327019\/(-1519) + 215?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357108291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34076697 is divided by 1671.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 - 166 = 802*t - 779*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2722080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177172 is divided by 35391?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105\/4 - -26. What is the third smallest value in c, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 7*z + 5. Suppose -x - 1 = -5. What are the prime factors of w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/407 and 16\/4033.\nAnswer: 44363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = -9*p. Is -2\/5 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227810?\nAnswer: 2, 5, 11, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24926973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence araa when four letters picked without replacement from raaaqrrqraa?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 45286550 and -2\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16933976*s**3*u - 2*s**2*u + 10658*s*u - 49*u wrt s.\nAnswer: 101603856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3617\nAnswer: 1\/3617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*x - 115*x + 55*x - 88*x**2.\nAnswer: -88*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 5.54.\nAnswer: 1.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, 28, -5 in decreasing order.\nAnswer: 28, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -4, 2 in ascending order.\nAnswer: -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28776.2283 - 28774. What is n rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86668 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*i + 3. Let y be (-6 + i)\/(1\/(-2)). Suppose -141999992 = 5*x + y*q - 6*q, 0 = 3*x + 5*q + 85200010. What is x rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexeuudeeuxxhhe. What is prob of picking 1 e, 1 x, and 1 u?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 644398778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 1, q: 1, h: 18}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 12:51 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 168*z**2 + 34 + 168*z**2 - 4*z**3 - 65.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 628.99739 + -629. What is g rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82910568.\nAnswer: 2, 3, 13, 265739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -63574*i - 205. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(720) + sqrt(720) + 1 + 5 + sqrt(720))*5)*-2)**2.\nAnswer: 37440*sqrt(5) + 650704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = 2*o, -4*o + 20 = v + 3*v. Let t(x) = x**3 - 18*x**2 + 64*x + 26. Let g be t(13). Solve 4*k + g + o = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpinipinip. Give prob of sequence pj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -85252925*q**2. Let b(x) = x**2. Determine c(b(w)).\nAnswer: -85252925*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose i*v + 4*z = 44, 0*z + 138 = 5*v - 4*z. Suppose h + 3*h = 104. What is the highest common factor of h and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1080?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12 - 2*r**2 - r**2 + 12*r + 17*r**2 + 16*r**2. Let v(w) = -12*w**2 - 5*w - 5. Give 5*k(n) + 12*v(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7025 divided by 1405.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + h + 28, -i + 2 = h. Suppose 73*y - 75*y - 3*x = -1, -2*y + 5 = -x. Solve -1 - i = y*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -22*n**2 - n + 1. Let r be i(-5). List the prime factors of (-4)\/20 - r\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 9*a - 4. Let z(b) = 5*b**2 - 18*b - 7. Let w(g) = 7*o(g) - 3*z(g). Let t be w(-8). Suppose -2*k + t = -5. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3.7. Let r = -12\/527 - 15163\/5270. Let h = 12\/5 + r. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from fqqhqfffyfq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 4. Let w be d(4). Suppose 22 = 4*m + 2*x, -2*m + w*m - 8 = -2*x. Let y(f) = -f + 14. Calculate the least common multiple of 4 and y(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, r + 2*s + 1516 = -0*r. Let j = 2547 + r. List the prime factors of j.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 1. Let w be u(-2). Let g(f) = 2*f - 74. Let m be g(62). Suppose 0 = -m*z + 68 - 268. Which is the biggest value? (a) -5 (b) z (c) w (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 34*j**3 - 10*j - 7. Let d(a) = 11*a**3 - 3*a - 2. Suppose 0 = -q + 6*t - 2*t - 22, 0 = 2*q + 2*t - 6. Let n(l) = q*h(l) + 7*d(l). What is n(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4 + 24988*u**3 - 38987484*u**2 - 117287500*u + 156250000 = 0.\nAnswer: -4, 1, 3125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*u + 1440645 + 370569. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + 110123223?\nAnswer: 110130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 114 = 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-22) - 576\/(-99). Suppose u*k + 3 = 75. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2548218.\nAnswer: 2, 3, 239, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674916 divided by 66.\nAnswer: -10226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 23. Let j be w(10). Let t be ((-6)\/5)\/(3\/(-10)). Let -3*d**4 - 2*d**t + j*d**4 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/(-9)) - -1. What are the prime factors of (a\/(-3))\/(4\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138 by 69.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -z + 8 - 20 = -f, 3*f + o*z = 66. Let m = -326 + 377. Calculate the greatest common factor of m and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (3 - -23) + -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72876.84 centimeters to nanometers.\nAnswer: 728768400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-4)*23\/46. Let t(n) = -n - 1. Let b(v) = 7*v + 5. Let h(y) = -b(y) - 6*t(y). Let g be h(-1). Solve -4*c - g = -5*w - 0*c, s = w + 5*c + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124\/21 - 46\/7. Let j = -0.718 + -2.272. Let l = -0.01 + j. Which is the third biggest value? (a) l (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105375*b + 105395*b + 120 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let f be w(1). What are the prime factors of f\/(-3) - (-590)\/30?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001518275.\nAnswer: 3, 5, 41, 325697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 146, 246, 346?\n\"Answer: 100*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6123 - x**2 - 6125 - 2*x**2 + 3*x**2 - 588*x**3.\nAnswer: -588*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4408\/87)\/19*2*3*-2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 493. Calculate the common denominator of 59\/2 and (k\/(-140))\/((-4)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullluululullllll. What is prob of sequence ull?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 41*f - 14. Let z be b(1). Solve 0 = z*g - 87*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -l + 63, -5*z + l + 164 + 145 = 0. Suppose d - 11 = 13*q - 9*q, -4*d = -2*q - 114. What is the highest common divisor of z and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*m - 15 = 3*t, 0 = -5*t - 4*m + 5. Suppose 170 = 10*a - t*a. Let f = -21 + a. Calculate the remainder when 37 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Which is the closest to 0.1? (a) 6 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 2. Let y(r) = r**2 + 5*r - 3. Let t(s) = s**3 - 5*s**2 - 10*s + 15. Let m be t(7). Let c = 38 - m. Let v be y(c). What is h(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/58 and -99\/580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-117)\/78?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + -6*((sqrt(1100) - ((sqrt(1100) - (1*sqrt(1100) + sqrt(1100) + sqrt(1100))) + sqrt(1100))) + sqrt(1100)).\nAnswer: -170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 + 3*u + 20. Let y(c) = c**2 + 1. Let d(z) = -j(z) + 6*y(z). Let p be d(6). Suppose 34 = 3*o - q, -p*q - 2 = 14. Solve 6*m - m - o = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004249391 rounded to 6 dps?\nAnswer: -0.004249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33801 - -33850. Suppose -3*z + 5 = -2*z. Suppose d + 52 = k, 2*k - z*d = 120 - 4. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s + 3*s - 5*s - 11*s**4 + (-3*s - 2*s**2 + 3*s)*(-2 + 2 + s**2).\nAnswer: -13*s**4 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 128 = 13. Suppose v*x = 60 + 78. Calculate the highest common divisor of 32 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23682 - -34808. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - j = 4*a, 2*a + 12 = 2*j. Let u be 3*a\/9 + 5. Suppose 2*c - 894 = -3*r, -u*c = 5*r + 813 - 2303. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 15*p**2 - 6543*p - 184. Let u(s) = -2*s**2 + 818*s + 24. Calculate -46*u(k) - 6*z(k).\nAnswer: 2*k**2 + 1630*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -800898550954.\nAnswer: -800898550954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -28. Suppose p*f - 12 - 4 = -z, -22 = -2*f - 4*z. Is (f\/(-2))\/(-1*4\/128) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:49 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37874 is divided by 526.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11151 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:49 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2733 and 1845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2469268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17777.\nAnswer: 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 990 + 3?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 35. Let a be q(-15). Let v = -34 + 52. Let o = v + a. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/95*10\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(280\/(-324)) + 12?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 547 = 3*p - w, -2*w = -2*p + 544. Calculate the greatest common factor of 25 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 37*x**2 + 51*x - 1046. Give j(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {y: 2, k: 1, z: 2, d: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5 + 15*v**2 + 5. Let u(x) be the third derivative of -x**5\/5 + 60*x**2 - 33. What is o(u(q))?\nAnswer: 2160*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 0*v**4 - 2\/3*v**3 + 0*v + 6 + 5\/6*v**6 + 0*v**5 + 0*v**2. Find the third derivative of d(y) wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f*f\/(f**(-37\/4)\/f*f))\/(f**(-26)\/((f**(-4)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*d - 5*d. Suppose -2*j + d = -75. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.4 + -21.2. What is the smallest value in -2, l, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4411230 (base 5) to base 4\nAnswer: -102200213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1781469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2128 divided by -28\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20596 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*u + 4512 = 378*u. What is u rounded to the nearest integer?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*n + 16*n + 5*n**2 - 9*n**2 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388278 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 2 + -14 + 14 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296104791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 13. Let w be r(5). Suppose -38 + w = -4*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 814.3 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00148360515 rounded to seven decimal places?\nAnswer: 0.0014836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 - -104. Solve -9*b + 6*b - 15 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 5, -129, 4, 7, 0 in descending order.\nAnswer: 147, 7, 5, 4, 0, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f + 0*f)*(-1 - 2 + 2 + (0 + 1 + 1)*(-2 + 2 + 2) + 2 - 1 + 0 + (3 - 2 + 1)*(-3 + 3 - 1)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*t = 19, -10*t + 15 = -15*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3538 and 2501?\nAnswer: 145058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15d54 - -2?\nAnswer: -15d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is bb461 (base 13) in base 11?\nAnswer: 211847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*x - 6 - 24, 0 = r + 3. Suppose f + 215 = 2*d, x*d - 3*f - 2*f = 305. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 18. Suppose -h*u = -4*u - 574. Let q = -1769\/6 + u. Calculate the common denominator of q and 57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-208))\/(232\/(-32) - -8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12738*s - 1. Let u(p) = -2*p**2. What is t(u(x))?\nAnswer: -25476*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c**3 + 8*c**2 - 8*c + 3. Let l(t) = 13*t**3 - 5*t**2 + 5*t - 2. Let m(r) = 5*d(r) + 8*l(r). What is the first derivative of m(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 9*o**2 + 2. Suppose 2*x + 2*w + 6 = -2*x, 4*x - w + 9 = 0. Let l = x - 7. What is the units digit of r(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -16. Which is the biggest value? (a) 2 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 80*s + 63 = 31 + 488, 3*s = -5*r + 78 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365425760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -466, -1, -129, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, -129, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*k - 2555000, -2555000 = 5*k + 10*p - 8*p. Round k to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:47 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -20, -21, -18, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 530*u**6 - 5514*u**5 + 11322609*u**2.\nAnswer: 63600*u**3 - 330840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5 + 11. Suppose m*w - 4 + 1 = 0. Find v, given that v**3 - 37*v + 36*v - 2*v**2 + w + v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose -3*r - 2*r = -w*v + 14, 5*r = -2*v + 22. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8*(6 + -4). Let i = 19 + r. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -2\/151, -2\/505, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/34912812 and -24\/3157?\nAnswer: 244389684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*k = 3, -3*k - 5 = 5*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(847) - (1 + sqrt(847))) + -4)**2 + -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -10 - (130 + -108).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 10748 (c) -0.09 (d) 10 (e) 17 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-59.0074\nAnswer: 5.90074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*s**3 - 458 + 456 + 167*s**3.\nAnswer: 13*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -5 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 70 = 3*v. Put 2, -6, -5, v in decreasing order.\nAnswer: v, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -231*t**5\/10 - 1025*t**4\/3 + t - 23. What is the third derivative of q(h) wrt h?\nAnswer: -2772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 12*t + 2535. Does 5 divide t\/(-91) + (-6)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t - 46. Let j be p(5). Suppose -12*i + 16*i = j. Solve -5*g = 1 - i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*b + 34 = 0, d = -d + 3*b - 23. Let h be (d + 2)\/(-2) - -58. What is the units digit of (-2)\/4*0 + h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 97 = 3*q, 25*q = -5*n + 28*q - 119. What is the units digit of (-7404)\/n + -9 + 1116\/132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -2\/7, 2426\/7, 0.8, 0 in decreasing order.\nAnswer: 2426\/7, 2, 0.8, 0, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/21 (b) 6 (c) 1.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 103*s - 36. Let u be i(20). Let a = u - -106. Calculate the lowest common multiple of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12767.1 - 12767. Which is the fifth biggest value? (a) -0.2 (b) 1\/23 (c) -1\/9 (d) s (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*h + 57*h + 59*h**3 + 29*h - 49*h.\nAnswer: 59*h**3 + 83*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25525258, 25525259, 25525260, 25525261, 25525262?\n\"Answer: k + 25525257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, 166, 383, 598, 811?\n\"Answer: -i**2 + 222*i - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:17 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 0\/((-4)\/(-4)). Factor -5*w + 4*w**3 + 5*w - 16 + w**f - 16*w.\nAnswer: (w - 2)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 66976*o - 334859. Give j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2363012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/39064120 and 4\/43947135.\nAnswer: 351577080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.294 - 0.394. What is the nearest to l in 0.1, 0.36, -1\/7, 2\/23?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkhhkkk?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (65\/(-2132))\/((-18)\/(-8356)). Let w = -5\/369 + p. Find the common denominator of 142\/16 - (-5)\/20 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) -37\/2 (c) -5 (d) -0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.7 - -9.41. What is y rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000942 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/93? (a) 4 (b) -13 (c) 41 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4 = 5*a. Let t be (-1)\/(-4) + 1\/a. Put t, -4, 2 in increasing order.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 12)\/(1\/((-4 - -99)\/(-5))). What is the highest common divisor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1000010?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16947 divided by 9\nAnswer: -1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, 1\/5, 16360?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7395 + 7431. Let r be ((-26)\/5)\/((-2)\/110). Suppose -5*s = -4*x - 1246 - 198, 0 = -s - 2*x + r. What is the greatest common factor of s and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1013 and 71\/9?\nAnswer: 9117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 71. Let b be 1 + 4 + (-115)\/i. Is b less than 9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 5*h - 1. Let m be r(-1). Let t = 1 - 3. Let u be -2 + -1 + (-18)\/t. Is u smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 22*h = -20*h, 0 = c - 2*h + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:52 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 7) to base 5.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 387463.\nAnswer: 387463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**4 - 7*k**4 + 0*k**4 + (-2*k**3 - 3*k**2 + 3*k**2)*(-2*k - k + 2*k) to the form w*k**3 + t + u*k + l*k**2 + m*k**4 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 414*g + 20. Let b be l(2). Suppose -b = -4*m - 5*f, 426 = 2*m - 2*f + 4*f. What are the prime factors of m?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2\/37, 0.09, 0.7?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*u + 10*u. Suppose 4*l + 5*a = -21, -a + 4*a = u*l - 18. Calculate the remainder when 36 is divided by (-4)\/8*(-26)\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30)*-1*(-40 + 37)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*y - 101, 360 = 20*z - 15*z - 4*y. Differentiate -z*c**3 + 13 + 9 - 2 + 3 with respect to c.\nAnswer: -228*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/105)\/(2\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2280.5 + 2281.2. What is the smallest value in x, -0.55, 4?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*s + 5*h, -11*s + 8*s - 18*h - 178 = -187 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121796 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:43 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 656811.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2565*a + 3210. Let l(q) = 321*q - 401. Let j(t) = -33*l(t) - 4*x(t). What is the derivative of j(y) wrt y?\nAnswer: -333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4 + 5)*0. Let q be -8 + ((-12)\/(-3) - s). Let l be q\/14 + 37\/7. Which is smaller: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837170 is divided by 838.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -4. Let n = 776\/9 + -86. Let f = 0.1 + 0. Which is the third smallest value? (a) f (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 13)*(-1 + o + 1 + (0*o - o + 0*o)*(-4 + 1 + 0) + 0*o + 3*o - 2*o - 23*o + 3*o - 35*o) in the form y*o + n and give y.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*d + 5*d - 90 = -36, 4*y + 1257*d - 1258*d + 3 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*a + 51740. Find the common denominator of 31\/7 and a\/12012 + (-1)\/(-7).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*m**3 - 88*m**3 - 65*m**3.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 95. Suppose 2*j = -0*j + q - 189803, k*q = 5*j + 474506. Round j to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/(-10) - -4)\/((-6)\/7420). Suppose 8*p = 15*p - d. Suppose -n = 5*h - 203, 6*h + 4*n - p = h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Let s(l) = l + u - 5*l + 3*l. What is s(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1973429721 + 1973429729.29999889. Let o = -8.3 + w. Round o to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*s = 4*s + 2002 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -124, -279, -496, -775, -1116?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(450)*-1 - sqrt(450)) - (sqrt(450) + (sqrt(450)*-2*6 - sqrt(450))))\/((1*sqrt(27))\/sqrt(3) + (sqrt(1089) - -2*sqrt(1089))))**2.\nAnswer: 3200\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 535, 2106, 4711, 8356, 13047, 18790, 25591?\n\"Answer: v**3 + 511*v**2 + 31*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.146293 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i - 2*z + 80, -2*i + 28 = -5*z. Suppose 0 = i*g - 29*g + 25. Suppose -g*q = -4*v - 37 + 220, v - 57 = 5*q. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 - 5229*r**3\/5 + 15693*r**2\/5 - 3139*r + 5232\/5.\nAnswer: -(r - 1)**3*(r + 5232)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**2. Let x(l) = 3*l - 4. Let d(r) = -4*r + 5. Let k(u) = 4*d(u) + 5*x(u). Determine k(q(v)).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.1 - -8. Let j = -449 + 7635\/17. Let s be ((-4)\/10)\/((-9)\/15). Which is the closest to i? (a) 1 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 35*z**4 + 3*z**3 - 2*z**3 + 2*z + 2*z**2 + 5*z**4 in the form u*z**3 + m*z + i*z**4 + a*z**2 + h and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000130282397 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 15) to base 11.\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 80*q**2 - 10*q - 15. Let b be h(9). Let x be (-3240)\/(2\/(-12) - (-1058)\/b). Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 527 and 1585\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 8*c - 9*c + 3*c + 5*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4731.666 days in microseconds?\nAnswer: 408815942400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36086 + -36090. Let w = -1.7 - 3.2. Let x = -5 - w. What is the closest to x in 1, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212916539 to the nearest integer?\nAnswer: 14592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2320 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17082874 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682693 and 319?\nAnswer: 19798097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3 + 689*c**2 + 3470*c = 0.\nAnswer: -5, 0, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/60434 and 105\/58.\nAnswer: 1752586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**3 + 5*i**2 - 348*i - 320. Let k(z) = -z**3 - z**2 + 2*z + 1. Let q(f) = c(f) + 5*k(f). Differentiate q(d) with respect to d.\nAnswer: 3*d**2 - 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/9 + 2074*f**2\/3 + 4301476*f\/3 + 6567. Factor i(b).\nAnswer: (b + 2074)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495632 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.7228672 rounded to two decimal places?\nAnswer: -43.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:23 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvtvvt. Give prob of picking 3 v and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a493 (base 14) to base 15\nAnswer: 8603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s*s**4))\/(s**6*s*s**7) assuming s is positive.\nAnswer: s**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -12*b - 2*u - 70, -21*b + 4*u - 685 = 0 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiibiiiiiiiii. Give prob of picking 4 i.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581\/2262 + -24\/377. Let i = m + 2\/13. Let a = 2.4 - -0.6. What is the closest to -1 in a, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/10)\/(4\/(-20)). Suppose 7*q = 3*q + 8. Suppose -6 = 3*r, -4*z - 3*r = -q*z + 8. Is z != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4844*c - 4996*c - 1368 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 5*g + 7. Let x be j(-5). Let f = 11 - x. Suppose 733 = 5*k - v + f*v, -k - v + 145 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a + 23. Suppose 1 = -0*c - c. Is (57\/a*2)\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -0.14, 1\/4, -4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from aaeab.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 19 - 1. Suppose 18 + 7 = d*w. Let u(k) = k**3 - 6*k**2 + 2*k + 7. Calculate u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003476452263 to six decimal places.\nAnswer: 0.000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2502965 divided by -2\nAnswer: 2502965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a + 8. Suppose -2*s + 9*p = 7*p + 8, 3*s = -3*p - 36. Give g(s).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 0 - 2 - 16*z**2 + 16*z**2 + 2*z**3 to the form t + k*z**2 + a*z**3 + p*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - (-380)\/50. Let b = -5 + f. Suppose -5*m - b*g + 25 = 0, -m + 9 = m + g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -57, 0, -2, -12 in increasing order.\nAnswer: -57, -12, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2*o. Let w(b) = b**2 + 2*b - 3. Let u be w(-4). Suppose 2*k - 12 = -2. Solve 0 = -k*p - u*g + 13 - o, -22 = -p - 5*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 5:54 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6788 smaller than -0.68064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 2*p**2 - 3*p + 3. Let z be b(3). Suppose 4*c - 16600000 = z*c. What is c rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2470\/416 + 1\/(-48)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12000480535.6 and 1.5?\nAnswer: 12000480534.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98 times -20?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eivv when four letters picked without replacement from jiiveeieviivi.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.574 - -57. Let f = -18.056 - -18. Let k = f + u. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1436*i + 163*i + 589*i as m*i + p and give m.\nAnswer: 2188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 - -150. Suppose 2*i + 0 - 6 = z, 5*i + z = 8. Let u be (i + 0)*(-3)\/6. Which is the biggest value? (a) 2 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1*sqrt(7623) - sqrt(7623)) - (0 + (sqrt(7623) - (sqrt(7623) + (-2 + sqrt(7623) - sqrt(7623)) - sqrt(7623))))) + 2 + 5)**2.\nAnswer: -528*sqrt(7) + 7687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2420 + 2580. What is the smallest value in u, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1655, 1752, 1849, 1946, 2043, 2140?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79a510 (base 11) in base 12?\nAnswer: 514878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*a - 13591, 54*a - 33967 = 49*a - 3*r. What are the prime factors of a?\nAnswer: 2, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5282*c*s**2 + 295*c - 16*s**2 - 31*s - 4 wrt s.\nAnswer: 10564*c - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -118479?\nAnswer: 118485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-671)\/(-183))\/(10\/(-30)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/3 - 33074488*b\/3 + 136740219557768\/3 = 0 for b.\nAnswer: 8268622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:28 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggigiggigiigiggigiig. What is prob of picking 2 i and 1 g?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131300 + 20431?\nAnswer: 202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790303 + 30513723 = 106*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlw when three letters picked without replacement from {f: 9, w: 2, i: 2, l: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 114*n**3 - 2*n**2 - 114*n.\nAnswer: 2*n*(n - 1)*(n + 1)*(n + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 42*h - 41*h - m, h + 27 = -3*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -34084823.\nAnswer: 6\/34084823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16)**(-2\/25)\/(v*v**41*v*v*v\/(v**(9\/10)\/v)) assuming v is positive.\nAnswer: v**(-2319\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -324.5 - -324. What is the third biggest value in v, 2\/13, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/98*105*21\/(-84)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4631 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -103?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)*(9 + -8). Suppose -w*n + 13 = 1. Calculate the common denominator of ((-60)\/(-44))\/(2*(-1)\/n) and 68\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 172*w + 960.\nAnswer: -4*(w - 48)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -9, 3*x + t = 3*t + 6. Suppose 7*r - 4*r - 615 = x. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -59. Let i = d + 20. What is the smallest common multiple of 24 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/360 + 35*c**4\/12 - c**3\/6 - 2*c**2 + 35. Let v(n) be the first derivative of u(n). Let l(a) = 2*a. Give v(l(r)).\nAnswer: -4*r**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261363 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:00 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249780 and 99912.\nAnswer: 499560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -282650840 divided by 334?\nAnswer: -846260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*u + 3*z, 3*u + 0*u + 2*z - 33 = 0. Suppose -o + u = 11. Suppose -5*x - 1 = 5*f + 14, o*x = 5*f + 15. Solve -w + 5 = -x*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l - 3*s = -15, 23 = 4*l + 3*s. Calculate the least common multiple of l and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17788*c + 1039*c - 7310*c to g*c + s and give g.\nAnswer: -24059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 8*h + 23. What is y(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (114\/190)\/((-2)\/(-40)) - (1 - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18933641 is divided by 6311212.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/1 - ((-50)\/(-5) + -17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (-53 + 24)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3079 to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*g**3 - 12*g**2 + 12*g**2 + 51 - 33 wrt g.\nAnswer: -171*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = g + 3*g, 0 = -v + 2*g + 7. Let w(b) = -9*b**3 + 5*b**2 + 5. Let k(s) be the first derivative of -5*s**4\/4 + s**3 + 3*s + 3. Give v*w(p) + 5*k(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -9, -2 in increasing order.\nAnswer: -9, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 + 6*i - 1. Suppose -26*y = -22*y + 24. Give z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 + -147. Solve 0 = -3*f + 8*f + c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g + 647 - 647. Let t(x) = 56*x. Calculate 4*t(v) + 21*u(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47989755.\nAnswer: 3, 5, 11, 67, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.03 + 8.03. What is the third biggest value in -5, -0.08, c, 0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169\/845*40\/336*30?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(119))\/(sqrt(35)\/(2*sqrt(5))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b - 2*b)*(-2*b**2 - 4*b + 4*b + 0*b - 2*b**2 + 0*b + (b - 2*b + 3*b)*(-1 + 1 - 2*b) + (0*b - b - 4*b)*(b - 4*b + b)*(1 - 2 - 1)).\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 2. Let u(c) = 10*c + 8. What is 8*q(z) - u(z)?\nAnswer: -2*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*162\/36. Let t(a) = a**2 - 3*a + 3. Let h(n) be the third derivative of n**5\/60 - n**4\/24 + n**3\/6 + 2*n**2. Give l*h(y) - t(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 0.2 (c) 0.3 (d) -0.1 (e) -6\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 260 + 1330 = 0. What is the greatest common factor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-36)\/(-72)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*r + 4884 = 4882, -5*r - 35 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 2*n - 2*n**3)*(12276 - 23348 + 12117) to the form o*n**2 + y*n**3 + f*n + h and give y.\nAnswer: -2090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 2.98. Let n = 40.8 - 41. Let c be 1 - 1\/14*10. What is the closest to -0.2 in c, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-12)\/40)\/((-22878)\/2460)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 24 = -5*g. Let n be g*(-4 - 14\/(-4)). Solve 3*d = n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 - 436*o**4 + 488*o**3 + 5280*o**2 = 0.\nAnswer: -110, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*-2 - (2*sqrt(384) - sqrt(384)))\/(1*sqrt(2)*-6 - sqrt(2) - sqrt(300)\/sqrt(6)).\nAnswer: 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*h - 3*x - 27, 4*h - 5*x = -38. What is the smallest value in h, -5, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w + 1716 = -21*w + 6 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4734 is divided by 214.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-30)*3*2. Let v be (3\/w)\/(7\/(-133)). Find the common denominator of (-19)\/v*96\/5 and 65\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -11. Suppose h + v*h - 12 = 0. Solve -h*n + 2 = -w + 3*w, -w + 3*n = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920*c = 93*c - 266*c - 8744 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7165464.58801193 + -16.21508807. Let a = 7165962.80309721 + r. Let s = a - 482. Round s to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.42 - -1.289. Let n = f + 0.131. Let i = 8 - 6. Which is the fourth smallest value? (a) i (b) -4 (c) 4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -118*m - 4. Let g be i(2). Let l be ((-1340)\/(-16))\/((-1)\/g). Round l to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282289022 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 16516178 + 16516178. Let f(z) be the second derivative of 2*z**3\/3 - z. Calculate f(x(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2403 - 2399. Do -55 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337774.2kg to nanograms.\nAnswer: 337774200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-165)\/(-25))\/(6\/180) and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 19132\/6487?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l - 2. Let z(q) = 6*q**2 + 6*q - 14. Let n(f) = -5*d(f) + z(f). Let i be n(-3). Which is the third biggest value? (a) i (b) 2\/33 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 10*o - 2*o)*(-o - o - o)*(-8 - 1 - 4)*(-3 + 5 - 3).\nAnswer: 507*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36, 0 in decreasing order.\nAnswer: 0, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + 588732821327\nAnswer: 588732821327.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 9 (c) -2\/3 (d) 286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1939 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 29. Let d be l(-18). Suppose 0 = -0*f - d*f + 98. Let y = 50 - -48. What is the greatest common factor of y and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14286 and 2566718.\nAnswer: 7700154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -0.3 (c) -0.08 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - (12 + (-11 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 5*u + 44. Suppose 25 = 4*v + 1. Put 1, u, v in decreasing order.\nAnswer: v, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u**2 - 7391*u - 21404. What is p(-669)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Total of 73 and 23.5.\nAnswer: 96.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 + 354*q**2 + 5886*q + 25758 = 0.\nAnswer: -159, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = l + 11 + 5, 3*d - 36 = 5*l. What is the nearest to l in -0.4, 2\/11, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from {l: 3, q: 2, k: 7, t: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1248*c**5 + 18*c**2 + 8 wrt c?\nAnswer: -74880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*10\/25. Put 20, 1\/4, z in increasing order.\nAnswer: z, 1\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(405) - (-3 + sqrt(405)))**2*5) + 3*sqrt(405)*-4 + (sqrt(405) + 2)*5 + (sqrt(405) - ((sqrt(405) + 0 + -5)**2 + sqrt(405))).\nAnswer: -465 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 1, n: 1, x: 2}. Give prob of sequence mxqq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 4. Let r(v) = -2*v - 3. Let i(w) = -3*j(w) - 4*r(w). Let h(f) = 71*f**2. Give h(i(x)).\nAnswer: 284*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s = -5*g + 39*s - 93, -5*g - 86 = 3*s. Let j = -0.5 + -0.5. Which is the closest to -0.1? (a) 0 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 479541 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irrriiirir. What is prob of sequence iir?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2348 (base 16) to base 13.\nAnswer: 415a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -199 - -201.7. Is q at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -214624258\nAnswer: 214624256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 30*s + 264. What is the remainder when x(36) is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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 j = 45 + -27. Let x = j + -3. Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1372 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -32*l. Let i(y) = -y. Give -6*i(t) - w(t).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -8 (c) -0.245 (d) 4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(2\/6)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 8*n**2 + 7*n - 1. Let y be o(-5). Suppose -y = -3*f - d, 5*d = -6 - 9. List the prime factors of 7\/7 + -1 + f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89640 and 33480.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8113, 8114, 8107, 8086, 8045, 7978, 7879?\n\"Answer: -c**3 + 2*c**2 + 2*c + 8110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/45 - d**4\/18 + 4*d**3\/9 + 3*d**2. What is f in p(f) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62380, 124195, 186010, 247831, 309664, 371515, 433390?\nAnswer: 495295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186135723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 3. Determine x(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/4 + 6\/(-8). Let t(y) = -6*y**2 + y + 2. Let d be t(r). Let n = 0 - d. Solve 5*p - n = 5*w, 2*p + 6 - 2 = -2*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -h + 5*c, 26*h = 30*h + c - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6768 and 16920.\nAnswer: 33840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10807 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.438122+29697111\nAnswer: 29697108.561878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 239858130 times 0.5\nAnswer: 119929065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 7*n + 2*n)*(0 + 12 + 5)*(-2 + 4 - 4) as v*n + i and give v.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*-3 - -2. Let c(o) = 5*o**2 + 4*o + 5. Let z(p) be the first derivative of p**3\/3 + p - 8346. Calculate h*c(x) + 3*z(x).\nAnswer: -2*x**2 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12802942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3407220 divided by -4.\nAnswer: 851805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -3*x**5\/5 + x**4\/4 + 2*x**3\/3 - 59. Factor q(s).\nAnswer: -s**2*(s - 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:55 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 39*z**2 - 22*z + 6. Let l(r) = 116*r**2 - 66*r + 17. Let x(m) = -6*l(m) + 17*y(m). Find the second derivative of x(s) wrt s.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (662 - 1151 + 674)*(1 + 0 - 3)*(5*o - 5*o - o**2) to the form a*o + g + j*o**2 and give j.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -1\/2*d**2 + 2 - 3\/2*d = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-226)\/(-120) - (-6)\/(-45). Find h such that -9\/4*h**2 - 1\/2*h - t*h**3 + 0 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 3*r**3 - 7*r**3 + 5*r**3 + 3*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - o = -113, 2*o - 3 = -o. Find the third derivative of 16*c**3 + a*c - 102 + 102 - c**2 - c**5 wrt c.\nAnswer: -60*c**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8544 (base 9) in base 3?\nAnswer: -22121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-6 + (5 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 402401069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1568357 and 136227.\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 + 5.13. Let v = 1 - f. Let j = 144 - 145. Which is the nearest to 2\/5? (a) j (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 4*z + 3*z)*(83 + z**2 - 23*z + 85 - 167) as o*z**3 + u*z + a*z**2 + s and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 121 = -125, 3*p - 7591 = -4*g. What is g rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 4*v**2 + 3*v - 6. Suppose 5*g + 2*t - 22 = 2*g, g - 8 = -t. Let u(m) = 11*m**3 + 11*m**2 - 8*m + 17. Calculate g*u(r) + 17*n(r).\nAnswer: -2*r**3 - 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 5 + 1772*w**2 + 497*w**2 + 5 + w**3 + 407*w**2.\nAnswer: w**3 + 2676*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/42 + 16\/96?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + -125443?\nAnswer: -125424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 + 3*f + 3. Let w(j) be the third derivative of j**4\/24 + j**3\/6 - 114*j**2. What is h(g) - 3*w(g)?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/11 + 55452\/66. What is the greatest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(((-6)\/10)\/(1344\/105 - 14)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278874 and 1086.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221997, -221914, -221837, -221772, -221725, -221702, -221709?\nAnswer: -221752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k + 2*l, -4*k = -2*l + 4*l - 20. Suppose 28 = k*q + 28. Suppose q = -4*w + 2*d - 266, 97 = -3*w + d - 105. Round w to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -6, -0.02.\nAnswer: -6, -2, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118670 rounded to the nearest 1000?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 12*b - 39. What is p(7)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -3 (c) -15.63 (d) -29 (e) 4\/7 (f) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*p = -30, -4*p - 4 = -0*c + 3*c. Let a be (-1)\/(-4) - 22\/c. Solve 0 = a*z - 4*s + 3 - 20, -5*s = z + 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 18571251.\nAnswer: 129998757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 118.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)*1*29. Let l = -27 + i. Solve l*k = -0*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56178444 is divided by 4744?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237 - 1041 = 98*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 43*k**2 - 113*k - 8. Does 43 divide t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1*(-54 - 2 - -1). Let h = 9 + d. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 4*y**2 - 2*y**2 + 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67.261*-0.6\nAnswer: 40.3566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116839959 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5606, -7719, -9826, -11927, -14022?\nAnswer: -16111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -19*o + 10. Let r = -82 - -77. What is the tens digit of c(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.657 and 1.\nAnswer: -9.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 518*c**3 - 497*c**2 + 10340*c.\nAnswer: -c*(c - 4)*(c + 5)*(c + 517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 893*q + 8029. Determine s(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17494276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10608 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-15) + (-4)\/10. Let z(w) = 3*w**2 + 2*w + 1. Let p be z(k). Find the second derivative of p*h + 4*h**5 + 0*h**5 - 2*h + h wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.023 - -0.032. Let s = v + -2.055. Which is the closest to s? (a) -2\/3 (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzczzzgzuzgzc. Give prob of sequence ucc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32902 is divided by 178.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*y**3 - 25*j*y - 4*j + 1326841*y**3 - 12*y + 2 wrt y?\nAnswer: 6*j*y + 7961046*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g - 4*d + 4, 56 = 4*g - 4*d. Suppose 4*u - g = 2. What is the second derivative of -5*o + u*o + o**5 + o**5 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 - 2 = -3*d, -5*r = d - 22. Suppose 0 = x + 1 - r. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26875 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 13 = 13. Is 0 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.82*64.\nAnswer: -5300.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -110 = -985\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2693 + -0.007\nAnswer: -0.2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 129403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 153\/4, 7, 7487?\nAnswer: 7487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17230 - -36456. Suppose -18405 = -11*k + d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -0.206538?\nAnswer: -1.793462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:30 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m**3 + m**2 - m - 2. List the prime factors of i(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/136*1*(-2)\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 137, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894860 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*s - 61. Let l be ((-11)\/s)\/(1\/(-24)). Solve l = 2*i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14460030 is divided by 692.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**2 + 3*k - 1. Let s be u(2). Let y = -4 - s. Solve 2*v + y = 5*d, 5*d = v + 4*v + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {h: 3, i: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16398 from 0.1662.\nAnswer: -16397.8338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -168686546607\nAnswer: -168686546643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 143855926 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984 and 1101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i + 73. Let p = -54 - i. What is the lowest common multiple of p and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.7 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjjynij. Give prob of sequence jy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1173, -2338, -3487, -4614, -5713, -6778, -7803?\n\"Answer: l**3 + 2*l**2 - 1178*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185602*z**4 - z**2 + 57926*z + 2 wrt z?\nAnswer: 4454448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)\/c**(1\/14) assuming c is positive.\nAnswer: c**(-127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7*l = 3*l + 32, 3*i + 13 = 5*l. Suppose -6*s + 34 - i = 0. Solve u + s = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - h - 7, 11 = -2*n - 5*h. Suppose 5*w = n*i - 10, -3 - 1 = -2*w. What is the lowest common multiple of i and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 13. Which is the closest to 1\/2? (a) i (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobbozsozooobsub. Give prob of picking 1 o and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 57.67086s?\nAnswer: 57670860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 4*t - 1.\nAnswer: -(t + 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10486682*v**2 - 10486682*v**2 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/66 and -26\/7?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 1 + sqrt(3)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 20 (b) 4 (c) 1 (d) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3 - 1 - 6 + 2 + d**3 wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3560 - -6576. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*m*s*y**2 - 6*m*s + 479*m*y - 1409*m with respect to y.\nAnswer: -92*m*s*y + 479*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -31*j + 6060. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -41*y**2 + 14*y - 2. Let c(x) = 7*x**2 - 2*x. Let j(o) = -6*c(o) - l(o). Give j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -11) + (66 - 15 - 70) - (-126 + -1).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = y - k, 3*y + 0*k + 48 = -3*k. Let d = 70 + -11. Let z = y - d. Round z to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128, -63, 6, 79?\n\"Answer: 2*a**2 + 59*a - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*q + 45, -104*z - 9 = 4*q - 109*z for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18044, 36091, 54138, 72185, 90232?\nAnswer: 108279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = h + 123, -4*h = 2*c + 532. Let s be 32\/20*490\/4. Let y = h + s. List the prime factors of y.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11482 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19967000 rounded to the nearest 100000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 6*s\/7.\nAnswer: s*(s - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*i - 90 = 4*n - 56, 2*n + 21 = -i for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2302755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12*o*o*o)\/o*o**(-12)*o**(-12\/11)*o*o\/(((o\/(o**(-6)*o)*o)\/o)\/o) assuming o is positive.\nAnswer: o**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 24. Let f(j) = j**3 + 2*j**2 + j + 2. Suppose 0 = -y + 3*b - 14, y = -2*b - 0*b + 6. Let o be f(y). Is h >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(4\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3 + 6*d**5 + 0*d**3 - 5*d**5 + 4*d + 3*d**5.\nAnswer: 4*d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.03, 0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535711131.\nAnswer: 3, 2417, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 0*b**2 + 4*b**3 + 0*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -772*-74521\nAnswer: 57530212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/((4605\/(-77241))\/(-1)). Let h = f + 15\/614. Calculate the common denominator of -95\/24 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 14, -2, 1 in descending order.\nAnswer: 14, 6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95)\/(-25)*12 - (-6)\/(-10). Suppose 6*m - k = 33. Solve -h = 2*q + 2*q - m, 2*q + 6 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563480161 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - b - 15 = 0, -7*b + 4 = 4*j - 3*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) 3 (c) 5566\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - b = -2 - 4, 3*t - b - 10 = 0. What is the nearest to t in -2\/5, -5, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m**2 + 141202*m - 818727?\nAnswer: -10*m + 141202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 37*q + 2. Let i(w) = -w**2 + 36*w - 2. Determine -3*h(l) - 4*i(l).\nAnswer: l**2 - 33*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-3) - 4\/(-2). Suppose -2*d = 130*w - 128*w - 8, -w = -4*d + 21. Solve -d*o = -l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 6*d**2 - 4*d**2)*(-58*d + 2 + 46*d - 5).\nAnswer: 24*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + s)*(0*s - 4*s - s) + 2*s**2 - 7*s**2 - 7*s**2 + (4*s - 6*s + 0*s)*(3*s - 5*s + 0*s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26440 and 10.\nAnswer: 26440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 678 and 33.\nAnswer: 7458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -335, 819, 2, -1 in decreasing order.\nAnswer: 819, 2, -1, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*n*t**3 + 73178*f**2*t + f*n*t + 11*f*t**3 + 66*n wrt f?\nAnswer: -4*n*t**3 + 146356*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.8942 - -0.8942. What is the closest to v in 4, 0, 2\/209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -759661 by 1.\nAnswer: -759661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 49.8, -0.1, -2\/7, 3\/8, -0.1107?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 9 + 75*i**3 - 15)*((-1 + 0 + 0)*(-51*i + 116*i - i) - 2*i + 0 + 0) as s + a*i + l*i**3 + x*i**2 + c*i**4 and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(832)*1 + 2 + sqrt(832) + sqrt(832) - (sqrt(832) - (-4 + (2*sqrt(832) - sqrt(832))) - (1*-1*sqrt(832) + sqrt(832))))**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -338, -507, -678?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 16*l + 31. Determine b(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1544 + 11*j + 1547 - 4641 - 5*j + 1550.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-6))\/(250\/12 + 5*(-357)\/85)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 240483?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 3) in base 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 682? (a) 3\/5 (b) 13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5986*l + 149660. Calculate d(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -10208.\nAnswer: 315\/10208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105007 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645445 divided by -129089.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1624 and 1120?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24884533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 1. Let r = -186.1 + d. Which is greater: 10 or r?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 74*h**3 + h**2 - 3*h + 2. Let k(z) = -z**3 + 7*z**2 - 4*z - 11. Let b be k(6). What are the prime factors of j(b)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - -11.2. Let j = f + -8. Let z = 85\/6 - 14. Which is the third biggest value? (a) 1\/7 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 5*a - r - 32, -2*r - 8 = 0. What is the remainder when 229 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-4)\/(4\/2). Let i be (-66)\/(-18) + 2\/6. Suppose u + i*j = -11, -5*j = -u + 5 + 20. Sort s, u, -4 in decreasing order.\nAnswer: u, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24527 + x - 24527 - x - 55*x**3 - 2*x**2.\nAnswer: -55*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and -2767.542.\nAnswer: -2751.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Which is the closest to -0.1? (a) 0.2 (b) w (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 10215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25841\/9 - 2871. Which is the closest to 2\/79? (a) p (b) 2 (c) -1.6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -495322, -495245, -495168, -495091, -495014, -494937?\n\"Answer: 77*i - 495399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19251.5 + 0.03.\nAnswer: -19251.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 + 31)*16\/((-2880)\/6165).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6*u + 539 = 0. Let f = -65 + u. Calculate the lowest common multiple of 206 and f.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 146 = 4*z, 3*z - 32*x + 36*x = 82. What is the highest common divisor of 714 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -4. What is the greatest common divisor of 21 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7776)*-3)\/sqrt(9))\/((sqrt(180)\/(sqrt(40) - sqrt(10)))\/sqrt(9)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 1\/8, -0.2, -18, -5, -3, -176\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1038 + 1037.6. Which is the closest to 4\/17? (a) y (b) -5 (c) 1\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohqd when four letters picked without replacement from hqobnbd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l. Suppose l*o = 4*o - 16. Is (-1)\/(-2) - (-26)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3617*n - 3612*n - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 6*g**2 - 4. Let x be u(-3). Let w = x - 3. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*z + 498*z - 1087*z + 543052 = 2442*z for z.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-21) - 4\/(-3). Suppose 0 = 5*w - d - 4. Sort 4, -6, w in ascending order.\nAnswer: -6, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -1554*i**5\/5 - i**4\/2 - 2*i**3\/3 + 88*i**2 + i - 4050. Find the third derivative of j(o) wrt o.\nAnswer: -37296*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0 + 2*j + 0. Suppose -1022*h + 1024*h - 22 = 0. Let v(c) = 12*c**2 + h - 22 + 4 + 7. Give b(v(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + k - 6 = 0, -1616*h + 676 = -1618*h - 174*k for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*i**3 - 16*i + 7*i + 8*i - 9*i**3 - 17*i**2 + 17*i**2 + (-2*i**2 + i**2 + 0*i**2)*(7*i - i - 4*i) - i**3 + 0*i**3 + 11*i**3.\nAnswer: -4*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123 - (-10 - 104)) + 1 + -2 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from aaaoalyaoaqyyoyoloy?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/8)\/((-48)\/288)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 171 = -2*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 1, m: 1, z: 1, l: 1, g: 1}. Give prob of sequence zqmg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4247?\nAnswer: 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Suppose b + d + 2*d - 15 = 0, 0 = -5*d - 15. Let i = 36 - -19. Let p(c) = -i*c**2 + b*c**2 + 29*c**2. Give s(p(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(4 - 6650\/1663). Let f = y - 1098. List the prime factors of f.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. Let a(u) = 8*u + 85 + 3*u + 7*u - 3*u. Let g(z) = 6*a(z) - 85*k(z). Let d(t) = 2*t. What is d(g(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2228000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let w(f) = 4361*f + 2153. What is w(x(h))?\nAnswer: 4361*h + 2153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, 1\/2, -5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2942 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 22*j**2 - 41*j - 15. Let s be c(-20). Let v be (-2)\/s - (-825)\/(-125). What is the tens digit of 231\/(-6)*20\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - (-35 + 0 + 43)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (3 - (-2 - -4)). Let m be (-7 - o)\/(-2 + 3\/6). Find the third derivative of 9*g**2 - 25*g**m - 21*g**2 - 23*g**5 wrt g.\nAnswer: -1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 - 243. Solve -5*w + 10 + k = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + z = -12, 22940*z = 3*k + 22949*z + 24 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 2*q - 2. Let i be r(-2). Let v(j) = 2*j + 50. Let b be v(8). Calculate the greatest common divisor of b and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 1. Let l(d) = 3*d + 5197. Calculate -l(j) - v(j).\nAnswer: -2*j - 5196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:33 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.677658 + -1575014.\nAnswer: -1575013.322342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyqyqyyyqyyyyy. Give prob of picking 4 y.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -34\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 4. Let k be c(5). Let g = -7 + k. Suppose g*y = -d + 93, 4*d = 3*d - 3. Solve y = -4*t + 4*b, -2*b = -4*b + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -842 - -2524\/3. What is the third biggest value in -1\/455, 3, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101111001011000 + 100101001?\nAnswer: 1010101111110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27617520 divided by 65756\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1769 - 1770.11. Sort -0.3, 1\/2, 3\/7, g, -0.4 in decreasing order.\nAnswer: 1\/2, 3\/7, -0.3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.345816 take away -1?\nAnswer: -6.345816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -520591030222600787\/226548 + 2297928166312. Let s be (48\/(-434))\/(9 + 2 + -69). Let r = s - n. What is the common denominator of 65\/8 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900, 905, 914, 927, 944, 965, 990?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26564*k**3 + 15314*k**3 - 9750*k**3.\nAnswer: 32128*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 189337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y + 18*y + 17*y + 11*y - 5*y.\nAnswer: 65*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 2*d**2 + 1 + 54 + 4.\nAnswer: -2*d**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 + -71. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 306?\nAnswer: 19584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10352 - -0.1?\nAnswer: 10352.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128944.\nAnswer: 2, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**6\/120 - 7*o**5\/20 - 15*o**4\/8 - 31*o**3\/3 + 20. Let l(t) be the third derivative of g(t). Factor l(z).\nAnswer: 3*(z - 15)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 6*v - 67. Let i be y(-12). Suppose 0*t = i*w + 2*t - 23, -3*w + 4*t = -19. Solve -5*k - g = -10 - 1, 0 = -w*k - 5*g - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1145650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/6 - 2)*-12. Let m be 8\/28 + 24\/14. Suppose -m*c = c - l. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60375, 60294, 60071, 59634, 58911, 57830?\n\"Answer: -12*k**3 + k**2 + 60386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + v - 2*v)*(4 - 4 + 2).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4340 and 180.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46021883?\nAnswer: 47, 979189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*l - 11802 - 607 + 537 = 0 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48625, -48623, -48619, -48613, -48605, -48595, -48583?\nAnswer: -48569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 36*l - 16*l - 21*l. Let h(i) = -i**2 - 3*i + 3. Let y(d) = -2*d**2 - 8*d + 8. Let z(k) = -8*h(k) + 3*y(k). What is z(f(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + q + 2)*(-3 - 3 + 1).\nAnswer: 10*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2581024559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517.0897mm to centimeters.\nAnswer: 51.70897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - -2*(2 - 1). Let r = -6 - i. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 + 218 = 54*c. Let x(g) = -g**2 + 8*g + 6. Let j(y) = y**2 - 7*y - 5. Calculate c*j(u) - 6*x(u).\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 13) in base 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142.1 - 132. Let z = -10 + x. Which is the biggest value? (a) -41 (b) z (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1 - (4 + -7)). Let t be (-16 - 1)*(-4 + w)\/(-4). Let m be t\/(-68) - 30\/(-8). Solve -4*p = -m - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -12793?\nAnswer: 12793.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7)*630\/45. Solve 3*s + 34 = -u - f*u, -40 = 5*s + 5*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842 = -19*d + 317. Solve -98*l - d = -37*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k**2 + 2003*k - 9540. Determine l(162).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214 = -9*c + 136. Calculate the highest common divisor of 100 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 + -4 + 5)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26772370 is divided by 25867.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and -9\/10156.\nAnswer: 20312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -212*c + 106. Calculate b(2).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123015 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyjyzhzyiidd. Give prob of sequence yhi.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - s**2 + 1. Let a(f) = f**2 - 2*f + 1. Let h be a(1). Suppose -4*c + 3 + 1 = h. Let u be o(c). Let m(v) = -v**3 + 3*v + 1. Calculate m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10059604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 13. Let w(o) = -o**2 - 4*o + 15. Let p be w(f). Sort p, -4, -2 in increasing order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*2 - (sqrt(2662) + sqrt(2662)*-1))\/(-5*sqrt(4)\/sqrt(2) + sqrt(20)\/sqrt(40)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4676\/13345 + 2\/785. Which is the nearest to 1\/6? (a) 0.5 (b) i (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - 0.3. Let y be -2 + ((-3)\/2 - 30\/(-12)). What is the nearest to -3 in p, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53304.1922 to the nearest 10.\nAnswer: -53300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-0.0881038\nAnswer: -0.5881038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - -10000100000100001101011?\nAnswer: 10000100000100000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4679.\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.9 - 61. Sort 2, o, -0.2 in decreasing order.\nAnswer: 2, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 6500*l**2 + 2118985*l + 4212010.\nAnswer: 5*(l + 2)*(l + 649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21839.22258 + -42?\nAnswer: -21881.22258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 - 529*z + 887*z - 568*z.\nAnswer: -210*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11.717 + 4\nAnswer: -7.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56106571 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: -846451 + -0.47008\nAnswer: -846451.47008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14379 - -14520. What is the greatest common factor of l and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(-8 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 366.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378060 and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5218958 is divided by 17572.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -36. Let d = j - -1. Which is the third biggest value? (a) -0.3 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920)*3*5)\/(sqrt(245)*-4*-4).\nAnswer: 45*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 41*j - 317. Calculate n(-47).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3855388.\nAnswer: 2, 963847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 15*r - 1077. Suppose -1799 + r = 3*g. Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2 + 14, 0 = -3*a - 4*n + 1828. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) -0.1 (b) -2\/885 (c) 3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 192000 = -11*l. Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689816285?\nAnswer: 5, 137963257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -18. Let a be (-3)\/9 + 4\/h. Sort 5, -3, a in descending order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**2 - 31 + 48 - 15 in the form z*p**2 + d*p + i and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1976*o - 1920*o + 5910*o - 1979*o.\nAnswer: 35*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1191\nAnswer: -1\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h**2 + 1)*(-2*h + h + 0*h) + 3*h**3 + 3*h**3 - 5*h**3 - 2*h + 2*h - h**3 + 0 + 6 - 14*h**3 - 8.\nAnswer: -16*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*v)*(-9618 - 10692 + 17639) - 7 + 3 + 2*v + 0*v as i*v + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 151?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -1245?\nAnswer: -1244.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r + 75*r = 3*h - 134434, -89653 = -2*h + 5*r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/15*-5*2\/(-60) - 40\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/59469040 and -39\/200.\nAnswer: 297345200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -17897*y + 36. Let s(c) = 5960*c - 13. Calculate 4*f(l) + 11*s(l).\nAnswer: -6028*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 1\/24*i**4 + 0 + 6*i**2 - 1\/12*i**5 + 0*i + 0*i**3. What is the second derivative of x(h) wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 8*y**2 - 8*y + 30. What is g(-10)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 239982118 to the power of 1\/3, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3 + 1. Suppose -43 = -3*d - u. Suppose p + 6 = 5*z - 38, -2*p = z - 11. Calculate the remainder when d is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*p = 6, -2*p + 8 - 12 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6597108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let o(z) = -5*z + 3. Let r(s) = -o(s) - 4*t(s). Let u(a) = -a**2 - 7*a - 4. Determine -6*r(j) - u(j).\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a**2 + 7*a - 84. Let s be h(9). Suppose -24*m - 255 + s = 0. What is the smallest common multiple of m and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*(-90)\/168*126*(-2)\/(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757 + 4*v**3 + 752 - 1509.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/18 - 2\/(-9). Let q be j - 4 - (-4)\/(-5). Let g = -188 - -188.4. Put g, q, 0.1 in decreasing order.\nAnswer: g, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 526 + -227. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/229, -4\/9, 67.88, 1?\nAnswer: 67.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*i + 449704 = 0, -18*o + 23*o - 2*i - 1124323 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 51812 and 24.9?\nAnswer: 51787.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1955, 34 in increasing order.\nAnswer: -5, 34, 1955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 2*i. Let y = -1 - i. Let f be y\/(-4)*8\/18. Is f greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 - 12*n**2 + 104*n\/3 - 32.\nAnswer: 4*(n - 4)*(n - 3)*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vylyvlvlyvllll. What is prob of sequence ly?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7639714 - 0.764. What is y rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2430, -2432, -2434?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -668*v + 24062. Give m(36).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/3)*l)**(5\/4))**(-43)*l**(-2\/5)\/(l**3\/l*l)*(l\/(l**(-1\/7)*l*l))\/(l\/l**(2\/5)*l) assuming l is positive.\nAnswer: l**(-11027\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -36*n**3 - n + 3. Let q be o(-2). Suppose -139 = -4*u + q. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 30 = -3*t. Let y = -1 - -4. Suppose -o + t = -a, 2*o = 7*o + y*a - 41. Do o and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 1 - 1 - 192*a**2 - 23*a + 7*a.\nAnswer: a**3 - 192*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19216.37 - 0.026.\nAnswer: 19216.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f - 75 = -2*d, 4*f - d = 73. Let l = f - 1. Factor -l + 80*c - 23*c**2 - 10*c**2 - 3*c**2.\nAnswer: -4*(c - 2)*(9*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0*a**7 + 0*a**6 - a + 3\/56*a**8 + 0 + 0*a**2 + 0*a**3 + 1\/6*a**4 + 0*a**5. What is the third derivative of u(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 599284?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1120363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/49*(-6)\/12?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-12)\/m*m)**(17\/2))**(6\/17) assuming m is positive.\nAnswer: m**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*f + 8*q - 11*q = 565*f - 15, -35*q - 185 = -3*f + 2*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98905995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1169\/(-28))\/((-1)\/4). Suppose -3*w - 38 = -z. Calculate the remainder when w is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/(12\/15). Let x(j) = 97*j + 10964. Let l be x(-113). Let k = 11 + -27\/2. Which is the smallest value? (a) l (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -847 or -2854\/107?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95\/(-1)*(20\/(-25) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91581077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2\/13, -2.1, 0, -6, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0567 - -0.7754. What is f rounded to 2 dps?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2. Let f(l) = -3 + 1 + l + l**2 + 3. Let m(j) = 0 + 2*j**2 + 5 + 5*j - 3*j**2 + 7*j**2. Let d(p) = 5*f(p) - m(p). Calculate d(o(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b028cb9 + -9?\nAnswer: -b028cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o - 69*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -83, 3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44120 and 152825.\nAnswer: 1348527800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 209000332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2321224 and 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -471 - -533. Calculate the highest common divisor of 62 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - j - 2. Let o = 2867 - 2835. What is the remainder when o is divided by z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 5, 788, -6, -5 in increasing order.\nAnswer: -6, -5, 3, 5, 7, 788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2 - 2 - 5525*f**2 + 5527*f**2. Let z(m) = -15494*m. What is p(z(a))?\nAnswer: 480128072*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886841353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415*a + 4658 - 3382 = -4384 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:22 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 110*p + 6 = 108*p, 0 = r + 2*p + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x - 3*x**2 + 0*x**2 + 5*x**2 - x**4 + 32 + 17*x + 0*x**2 to the form q*x**4 + o*x**3 + m*x + k + n*x**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2110+3.4516\nAnswer: 2113.4516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075595 = 404*i + 1101451 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-12194.\nAnswer: -60970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277157431 is divided by 941.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 - -5. Let d = 2.7 - x. Let o be (-32)\/60*(-3)\/4. Which is the closest to o? (a) d (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*h + 4, 0 = 2*r - 4*h + 30 - 2. Calculate the remainder when -2 - (-6 + 0) - (-6 - r) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b**2*k - 6335*b*k - 23218*k + 3 wrt b.\nAnswer: 10*b*k - 6335*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 - 7*d**2 - 8*d + 4. Let k(r) = -4*r**3 + 6*r**2 + 7*r - 3. Let p(h) = -3*a(h) - 4*k(h). Let x be p(4). Suppose o + 0*o - 39 = x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 51477?\nAnswer: -154431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-4340)\/(-440))*7\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*i - 22, -3*p + 4*p - 8 = 4*i. Suppose -2*q - 4 = 0, -d + 4*q = 3*d - p. Let m(s) = 5*s - 3*s - 3*s - 4 + s**d. Give m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30974 = -31*h - 3*h. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 81, 120, 157, 192, 225?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.099 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30640?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.41 (b) -1\/7 (c) 31 (d) 420\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:54 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*c = 3*m + 42, m + c = -51. Let f be m\/(-12) + 1\/(-2). Suppose 6*y = f*y. Solve -4*q + 7*q - 6 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1899)\/(-36))\/((-7)\/(-28)) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 50*v**2 + 4907*v - 230958. Determine j(45).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 7*o**2 - 704*o + 123904\/7 = 0?\nAnswer: 352\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 equal to 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -894*h + 820*h - 888 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42377897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 2. Suppose 6*m = 9*m + 6. Let g(q) = -3*q - 4. Suppose 4*h + h = -55. Let p(s) = 8*s + 11. Let r(n) = h*g(n) - 4*p(n). What is m*r(a) + j(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-8)\/10*5. Is x\/14 + (-48)\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - eb19?\nAnswer: -eb1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9 - 1. Solve -d*b - 2 = -b, -s + 5*b + 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 7*s**2 - 4*s + 8. Let l be d(-5). Let n be 77\/l*6\/(-7). Solve -n*c = 4*c + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-258)\/(-2 + 60\/35). Let r = 2633 - k. Let m = r - 2530. Round m to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 - (4 + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) -9 (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/15))\/(x\/(((x\/x**(-1\/14))\/x)\/x)))**14\/((x\/(x**1*x))\/(x*x*x**(1\/7))*(x**(1\/3))**(-3\/8)) assuming x is positive.\nAnswer: x**(-6607\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5214115.\nAnswer: 5, 883, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 - t + 15. Let y be q(5). Suppose h = 18 + y. Solve 4*o + h = 5*b - 3*b, -5*o - b = 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) 3\/4 (b) 3\/11 (c) 2 (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15*r = 19*r - 173910. Is r a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*s + 7, 3*u + 39 = 3*s + 12. Let p(o) = -2*o - 4. Let v be p(u). Find the first derivative of v - 3*x - 1 - 5 wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 51, 70, 89, 108?\n\"Answer: 19*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*w - 76 + 83 = 0, 2*k + w - 23 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + h. Let x = -4 - -3. Let s be g(x). What are the prime factors of (-2)\/s + (8 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*y = 1920 - 456 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c + 1 + 4\/3*c**3 + 0*c**2. Suppose -5*a = -a + 4. Give p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.1 (b) 1 (c) 22 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47153\/20 - 2362. Let f = -33\/20 - c. Find the common denominator of f and ((-11)\/(-18))\/(-2 - -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 - 4*z**2 + 4*z**2 + (0*z - 2*z**2 + 0*z)*(0 + 2*z + 0) - z**3 - z**3 - 6*z**3 + (-3*z + 7 - 7)*(-2 + z**2 + 2) - 2*z**3 - 1 + 1.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*p + 84*p = -10422 - 20253 - 8748 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346621035 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (-11 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -65. Let z(r) = -r**2 - 5*r + 5. Let f be z(t). Suppose 2*v - 6 = 4. Calculate the greatest common divisor of v and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120021202010000 - 11?\nAnswer: 1120021202002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439986244 to the nearest integer?\nAnswer: 20976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1\/9 (c) 29 (d) -4\/7 (e) 1 (f) -0.057 (g) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 0. Let x = m - -12. Calculate the remainder when 428\/12 - 4\/6 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 66. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = -4*h, -h = 19*p - 21*p + 21. Solve 2*z + 10 = -4*j, 0 = 6*z - p*z - 5*j - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366 - -365.7. Let m = 19 - 19.55. Let o = q + m. What is o rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 3:22 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-952))\/(6\/(-574))*6?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 204673?\nAnswer: 204670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6 + 4. Let v(j) = j**2 + 6*j. Let a be v(-6). Suppose k + 0*k - 2 = a. Are d and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t - 3. Let c be a(-2). Let w = -22 + c. Put w, -10\/3, -0.3 in descending order.\nAnswer: -0.3, w, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -25*g**2. Let a(h) = 13*h**2. Give a(c(m)).\nAnswer: 8125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-56)*8*(-7)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 6 - 17 - 7. List the prime factors of v(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323994 is divided by 1145?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1136\/20*(-2 - -1)*-5. Let s = p - 35. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -15*p**2 + 6*p - 149. What is o(0)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h**2 - 18*h**2 + 27*h**2 + 8*h**3 - 30*h**2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**4\/3 + 6*c**2. Let b be 3 + (2 - (3 + -1)). Suppose -4*y - y = 0, -2*y - 18 = -b*f. Let v(m) = 9*m. Give f*p(z) + 5*v(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 75 + 2 - u**2 + u**2.\nAnswer: -2*u**3 - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -9\/5*m**5 - 192*m + 360*m**2 + 11 + 111\/4*m**4 - 156*m**3. Solve q(s) = 0.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**3 - 11*a**3 + 28*a - 12*a + (-3*a**2 + 4*a**2 - 2*a**2)*(3*a + a - 2*a) - 3*a**3 + 0*a**3 + a**3.\nAnswer: -8*a**3 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p*p**(3\/7)*p)\/p*p*p*p)\/(p**(-17)\/p))\/(p\/(p*p**9\/p)*p*p\/(p*p**(2\/11))) assuming p is positive.\nAnswer: p**(2434\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:30 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265 times 2?\nAnswer: 8530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-6 - -12 - 7) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 4*j**4 - 3 - 3 + 4 in the form y*j**2 + f*j**3 + u*j + i + v*j**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 3*l**5\/10 + 5*l**4\/12 - 2*l**3\/3 + 2*l**2 + 20*l. Let s be c(-5). Let r = s + 1128. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89184*-0.4\nAnswer: 35673.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -40*w**2 - 672*w + 8. Let a(l) = 14*l**2 + 252*l - 3. Let b(h) = -8*a(h) - 3*s(h). Suppose 0 = -3*j + 4*m - 15, 2*j = m + 2*m - 11. Give b(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/2 - 1\/(-2). Let v(h) = 2*h**2 - 3*h - 4. Let c be v(3). Suppose x = -2*r + 18, 3 + 36 = c*r + x. Put r, 4, o in decreasing order.\nAnswer: r, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43120 and 37840.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*u + 1014 - 1995 = 407 + 5107 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-8 - (72 - 30)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14934746 is divided by 5818.\nAnswer: 5758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**2 + 0 - 4\/45*j**5 - 39*j - 1\/27*j**4 + 2\/135*j**6 + 8\/27*j**3. Find m, given that v(m) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 4. Let b = 13 - 7. Let l be y(b). Suppose -l*v + v + 531 = 4*t, -3*t = v - 399. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5 - 468*s**4 - 36558*s**3 - 965132*s**2 - 929040*s = 0.\nAnswer: -84, -79, -70, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*x = -0*x - 55, -5*o = 5*x - 25. Find the second derivative of 0*l + 3*l + 27*l**3 - 16*l**3 + o + 0 wrt l.\nAnswer: 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-3)\/3 + 2\/2). Suppose n = 4*g - 138 - 150. Suppose -3*t + g = -0*t. What is the highest common factor of 96 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020239 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5536774*k**2 - 6809*k + 141 wrt k?\nAnswer: 11073548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:14 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3936 and 48960?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -2)*-3 + sqrt(252) - (sqrt(252) + -2 + -2))**2 + -4*(1*-4*sqrt(252)*-2)**2.\nAnswer: -62144 - 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 20 = 10*s - 3*b - 48, 0 = -5*s + 6*b + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -111246.2373 to the nearest 100.\nAnswer: -111200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20 + (-154)\/420)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 7, -1\/24 in decreasing order.\nAnswer: 7, -1\/24, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-4 + sqrt(21)\/(-2*sqrt(7))) + 5 + sqrt(432) + 0 + 1.\nAnswer: 17 + 27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11 = i, -3*i + 42 = -2*r - r. Suppose -80 = -i*c + 14*c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(-2*x + 4*x - 3*x) + 2*x + 5*x - 4*x)*(-7*x**2 + 2*x**2 - 5*x**2).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -g + 47, 2*g + 4*h - 6*h - 58 = 0. Solve -3*l - 5*z = g, 2*l + 4*z + 1 = -23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657912 is divided by 12652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5749 and -0.527.\nAnswer: -3029.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.296*-23\nAnswer: -6.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302*q**2 - q + 303?\nAnswer: -604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73a - 28?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 3:25 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**7\/1260 + 13*l**4\/12 - 4*l. Let y(q) be the third derivative of v(q). Let c(p) = 19*p. Determine y(c(o)).\nAnswer: -722*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81687*v**2 + 59234 wrt v.\nAnswer: 163374*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = 3*t - 47, 3*d + 4*t = 45. Let p(m) = -7*m - 1. Let y be p(1). Let k = y + d. Solve s + k - 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-9) - 7)\/((-20)\/12 + 2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 9, -0.7 in decreasing order.\nAnswer: 9, 3\/7, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 3*t + 1352*t**4 - 1354*t**4 - 3*t**2 - t**3 to the form k*t**3 + z*t**2 + x*t**4 + a + q*t and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310 + 160. Let q = -150 - a. What is the smallest value in 3, -5, q, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-4)))**(-6\/7) assuming x is positive.\nAnswer: x**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {u: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4977, -9946, -14915, -19884, -24853, -29822?\nAnswer: -34791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 40 = -34. Let w be (-48)\/32*(-40)\/(-6). Let p = w - x. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 2174?\nAnswer: -652.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 370c + 98?\nAnswer: 37a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*(c**(3\/4)*c)\/c*c*c)\/c*((c**(2\/19)\/c)\/c)\/c*c*c)\/((c\/(c**(-12\/7)\/c))\/(c\/c**(2\/31)*c)))**(-5\/4) assuming c is positive.\nAnswer: c**(-88765\/65968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -41 + -9 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1605 = -3*a - 1876, -1390 = -2*b + 2*a. Let y = b - -547. List the prime factors of y.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*q - 13 = -40, 5*q = 3*y + 37. Let w(x) = -4*x**3 - 5*x**2 - 3*x**3 + 13 + 6*x**3 - 2*x. What is the units digit of w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/5292967 or -1?\nAnswer: 40\/5292967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120\/103 + -617\/618. Sort j, -2\/3, -16, 2\/9 in increasing order.\nAnswer: -16, -2\/3, j, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Let l be (-9)\/54 + 1054\/(-12). Let m = -84 - l. Solve f = 6*z - m*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -6*j + 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*p + 4 - 27, 3*p = 4*q + 3. Suppose -2*s - 5*a + 148 = 0, -3*s + s = -q*a - 164. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 - 1 - -1). Let d(x) = 2*x**2 - 2*x - 1. Let t be d(i). Let n = t + 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(98) - (sqrt(98) + 5*sqrt(98))*2)*-2)**2*1.\nAnswer: 47432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1539 + 18767. Does 71 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w - 52*w + 2 - 2 + 19*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 2, j: 3, w: 1, k: 4, n: 1}. Give prob of picking 1 k and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 0.08 in decreasing order.\nAnswer: 0.08, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -7655, -1\/28 in descending order.\nAnswer: -1\/28, -2\/15, -7655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 1:21 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9 and 65\/5487?\nAnswer: 16461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -51 - 11) + -31.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jyjyyyyyyj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 34. Suppose 77814 = 4*t - 2*j, 3*j = t - r*j - 19451. Let i = 5254 - t. Round i to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (3 - 1) + -97 + 16 + (-4 - -1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(12) - -2*sqrt(192)) - sqrt(70)\/(sqrt(20)\/(sqrt(6)\/sqrt(3))))*4)**2.\nAnswer: 7168\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 21. Let h be 440\/28*1*y. What is h rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 2. Let h(b) = 128*b - 767. Let i(a) = -h(a) + 4*m(a). What is the derivative of i(j) wrt j?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -705156, -1410312, -2115468, -2820624?\nAnswer: -3525780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3289207 and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 20415?\nAnswer: -20424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.30755, -0.2, -0.171?\nAnswer: -0.30755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22127472 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/42)\/((-355)\/(-426)). Which is the nearest to m? (a) 0 (b) 7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 101\/4, -0.2, -5, -4 in ascending order.\nAnswer: -5, -4, -0.2, 2\/11, 101\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 43823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17200 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = k - 9, -4*k + 3*o = -3*k - 17. Suppose -k*z - 1 = -76. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*10\/(-300))\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14811*t**4 - 2*t**3 + 4*t**2 + t + 501934 wrt t?\nAnswer: -177732*t**2 - 12*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -16. Let l(m) be the first derivative of 0*m**s - m + 0*m**3 + 3 + 3\/4*m**4. Differentiate l(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6513 + 48944. What are the prime factors of o?\nAnswer: 151, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -25.1.\nAnswer: -10.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90291\/35 - 2579. Let i = -9992914\/1415995 - -1\/40457. Let x = i - v. Which is bigger: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24145, -24152, -24159?\n\"Answer: -7*l - 24138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 24 - 66 + 10 = 5*m, 0 = -2*m - y - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**4 - 12*w**3 - 9*w**2 + 24*w + 3. Let m(x) = -11*x**4 - 11*x**3 - 9*x**2 + 23*x + 4. Let n(a) = -3*m(a) + 4*z(a). Find y such that n(y) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + j + 1. Let v(x) be the second derivative of -x**5\/4 + 5*x**4\/12 + 2*x**3\/3 + 3*x**2\/2 + 29*x. Determine -4*b(l) + v(l).\nAnswer: -l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3 + 4*r**2 - 5*r + 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d + 40 = 0. Let p = d - -26. Suppose p*s - 306 = s - 3*f, 0 = -5*s - 4*f + 308. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3486, 7809, 12132, 16455, 20778, 25101?\nAnswer: 29424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/31)*d*d*d\/((d*d**(2\/13))\/d)*(d**(-9)\/d)\/d*d**(-2\/9) assuming d is positive.\nAnswer: d**(-30614\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2088.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/189*-1*(-108)\/720*-12\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2 - 32) + -42*472\/2478.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s - 12. What is x(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*a**2 + 0*a**2 + 2*a**2 + (0*a**2 - 4*a**2 + 2*a**2)*(0 - 2 + 4) + 0*a**2 + a**2 - 2*a**2 - 260*a**2 + 91*a**2 + 84*a**2.\nAnswer: -91*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-6454439.3.\nAnswer: -1290887.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12125385 by 2425077.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - k)*(1 - 1 + k) + 12*k**2 + 11*k**2 - 15*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:27 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/139 (b) -6 (c) 98.3 (d) 2\/9 (e) 5 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrheohorrr. What is prob of sequence rvo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145219 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 1. Let j be w(1). Let y = j + 50. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128447195 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2 - 3 - -36) + -1)*4.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*((-1 + 1 + 4*v)*(2 + 2 - 6) - 33*v - 89*v + 15*v).\nAnswer: -230*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*z - 54, 4*n = 2*z - 91 - 75. Let w = n + 41. Suppose -w*s + 15 = -5. What is the greatest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 395 = 5*d, -3*d = -3*f + 45 + 249. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-4) - (-1)\/2. Let b be (0 - (-1)\/2)*0. Suppose -2*f + 5*u - 11 = b, 3*f + 4*u + 1 - 19 = 0. Solve -f*i = -g*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*u, 5*s = -4*u + 2237. What are the prime factors of s?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -38*n + 4. Let z(t) = -1. Let i be -7 + (8\/(-24) - (-95)\/15). Determine i*r(h) - 4*z(h).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2. Suppose -5 = 3*f - 2. Let r be b(f). Suppose -v - v + 48 = r. Calculate the remainder when v is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = -2*i. Let f = i - -8. Let w be (-2)\/((8\/6)\/2). Put w, -1, f in decreasing order.\nAnswer: -1, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7855\/66 - 1300\/11. Which is the nearest to -0.1? (a) 0.5 (b) -0.2 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4367 divided by -6.\nAnswer: -4367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088 + 977 = -2*u - 0*u - 885 for u.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/9 - (-2)\/6. Suppose -27 - 18 = -s - u*w, 5*w = s - 10. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37806, -36876, -35320, -33132, -30306, -26836, -22716, -17940?\nAnswer: -12502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/234756 and -121\/1056402?\nAnswer: 2112804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*m**2 - 33*m**2 - 4*m - 12*m**2 + (-m - m - m)*(m - m + m).\nAnswer: -80*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416560 and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56747407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 - 4*b - 10. What is the tens digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2\/3, -5, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6252709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 8. Let u(c) = 4*c - 11. Let r(i) = -t(i) - u(i). Determine r(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 - 224. What is the closest to -1\/2 in y, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10445, 20888, 31331, 41774, 52217?\n\"Answer: 10443*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6141 = 4*f - 5*m, -4*f - 3*m + 6142 = 9. Let o = f + -871. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 14*j + 12. Suppose 5*p = 2*p - j*k + 155, 4*p = 5*k + 217. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q = -32*q + 6. Solve -3*r = -2*s - 11, q*s + 10 = -r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -25, -272, 20, -12\/7, -2\/19?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 + 222*i**3 - 7518*i**2 + 75362*i - 230496 = 0. Calculate i.\nAnswer: 7, 48, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8826, 8329, 7486, 6285, 4714, 2761?\n\"Answer: -2*m**3 - 161*m**2 + 8989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 52 = 4*f, -2*m + 24 = 3*f - 11. Which is the third biggest value? (a) 0.1 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50*16\/80 - 7. Let n(w) be the first derivative of 0*w**l - 5 - 7\/2*w**2 + 0*w - 13\/4*w**4. What is the second derivative of n(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5200954 or -5200971?\nAnswer: -5200954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-5 + (10 - 25)). Solve 37 + 3 = -b*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7625)\/(-50))\/(-61))\/(5*(-8)\/960).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8.01. Let l = p - -1.01. Let w = 1\/2 + -9\/10. Which is the closest to -1? (a) w (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3389148 divided by -8966.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17601 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 840. Suppose 12*h - 16*h = -b. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 275\/4. Let t = 2 + -1. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925466 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2147 - -2?\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241325.4 milligrams to tonnes.\nAnswer: 0.0002413254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = 15. Let b(x) be the second derivative of -1\/210*x**7 - 1\/5*x**2 - 3\/10*x**z + 0 - 1\/25*x**6 - 4\/15*x**4 - 7\/50*x**5 + 2*x. Factor b(j).\nAnswer: -(j + 1)**4*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 242*o - 4 - 238*o + 3 + 3. Suppose 0*f - 2*f - 2*q + 4 = 0, q = -2*f + 6. Suppose -f*x + x - 18 = -3*r, 3*r = -x + 10. Determine u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2\/3*z**2 + 4*z = 0. What is z?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 248 + 140 = 0. What is the smallest common multiple of 52 and n?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4\/7, 1\/4, 3, -233, -7?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7975, -7995, -8003, -7993, -7959, -7895, -7795, -7653?\nAnswer: -7463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**2 - 3000*q - 450000 = 0.\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199 - 202. Let j(y) = y**3 + 3*y**2 + y - 1. Let r(s) = -2*s**3 - 2*s**2 - s + 1. Calculate q*r(d) - 2*j(d).\nAnswer: 4*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8656960.08 to the nearest ten thousand.\nAnswer: -8660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, 0.5, -1\/1746066?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2088 and 24?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150281?\nAnswer: 67, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.13, 2\/3, -0.01, -1\/5.\nAnswer: -1, -1\/5, -0.13, -0.01, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t**4 + 9036*t**3 + 22459*t**2 - 11324*t + 1308 = 0.\nAnswer: -109, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*d, 5*d - 95*y - 54 = -99*y. Let p(a) = a - 10. Calculate p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110020441*d + 2110020441*d - 20*d**2.\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.494015 and -1.9.\nAnswer: -65.5386285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1016899 and 494.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283.386 meters in millimeters?\nAnswer: 5283386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1177 and -73\/110?\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g - 7 + g**2 + 4*g**2 - 2 - 3*g**3 + 0. Let t(w) = -2*w**3 + 2*w**2 + 5*w - 5. Let c(x) = 6*b(x) - 11*t(x). Factor c(u).\nAnswer: (u + 1)*(2*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -97*u**4 + 8151*u**3 + 8187*u**2 - 16751*u + 510 = 0.\nAnswer: -2, 3\/97, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p - 3. Suppose -30 = -3*g + 4*u, 0 = -4*g + u - 3*u + 18. Let a be w(g). Suppose a = 4*h + h. Solve -3*d - 6 = -b - 8*d, 3 = h*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*n**2*z - 287659102*n**2 + 25394*n*z + 7*z wrt z.\nAnswer: -73*n**2 + 25394*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3765050783?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2259b (base 15) to base 11.\nAnswer: 75108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.033 + -0.033. Let a = 19.7 - 26.4. What is the smallest value in s, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15\/41 - 389\/615. Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -177 (base 8) to base 13\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y + 4. Let l be (-40)\/(-18) - y\/(-9). Let a be 12 - 13\/247*323 - 18\/(-2). Solve g + a*g - 25 = -l*b, -15 = -3*g - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5117*o - 143177. What is g(-28)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 30. Solve -7 - r = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7895*v**2 - 22412*v**2 + 7424*v**2 + 7785*v**2.\nAnswer: 692*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84742478.1ns to weeks.\nAnswer: 0.00000014011653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -157, -321, -391, -307, -9, 563, 1469, 2769?\n\"Answer: 10*d**3 - 13*d**2 - 195*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/4 - (-273)\/(-468)) + (-2)\/3. Let q be (-2 + 4)*2\/10. Which is the third smallest value? (a) 2\/17 (b) v (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 + 1536355*d**4 + 6145437*d**3 - 1536355*d**2 - 6145436*d = 0. What is d?\nAnswer: -4, -1, 0, 1, 1536359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1189 + 4755\/4. Let r = 5.3 + -5. What is the nearest to b in 0.4, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 18*s**2 + 8*s - 72. Calculate a(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**7\/1890 + j**6\/540 + j**5\/540 + 58*j**2. Determine l, given that t(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 374 and 1418?\nAnswer: 265166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2961?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 849530548 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/140 + (-4077)\/(-315). Solve 2*i + 3*y = -d + 9, -y - 8 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8562 - -67006.45.\nAnswer: 75568.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/(-6440))\/(360\/(-700)*-5).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85386 + 1808*n + 85386)*(2*n - 6*n + 0*n).\nAnswer: -7232*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-3\/4))**(-35) assuming k is positive.\nAnswer: k**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 9*m**5\/5 + m**3\/3 + 3*m**2\/2 + 29*m - 146. What is the second derivative of t(s) wrt s?\nAnswer: 108*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 11*t**2 + 13*t - 30. Let l be j(9). Let h = 237 + l. Calculate the greatest common divisor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-44))\/(1\/6). Which is the closest to 0? (a) 0.3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37420, -37436, -37454, -37474, -37496, -37520?\n\"Answer: -w**2 - 13*w - 37406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.31465 rounded to one dp?\nAnswer: -30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 - -0.6. Let g be (2\/(-14))\/((-138)\/138). Suppose 4*r - 4*j - 3 = -15, 0 = 5*j. Which is the nearest to 1? (a) r (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 5*s**2 + 3*s - 6. Let q = -5 - 1. What is the tens digit of k(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143166*q**2 + 104277*q**2 - 194838*q**2.\nAnswer: -233727*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 2*p**2. Let g be w(1). Suppose -c + u = -27, 74 = 3*c - u + g. Suppose 2*n = m - 0*m - c, -m = 5*n - 9. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151805330?\nAnswer: 2, 5, 113, 134341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljd when three letters picked without replacement from {l: 2, d: 1, j: 1, z: 3, n: 3, w: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 9*t**2 + 6*t - 21. Let s be h(-8). Let o be (-18)\/(-30) + 4 + s. Is o != -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 23*h + 69. Put -5, h, -14 in descending order.\nAnswer: h, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -17*v**5\/20 + 18*v**2 + 14*v. Differentiate f(q) wrt q.\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**2. Let t(n) = 641263*n - 1 + 1 - 641263*n + 66*n**2. Give 6*t(p) - 34*x(p).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 divide 61482615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2045843 - -8573.067.\nAnswer: -2037269.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121917458 - 3*u - 121917458.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.1047 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(304) + sqrt(304) - 1*(1 + sqrt(304)))**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -20*t**3 - 607*t**2 + 120007*t - 8000007. Let i(b) = -3*b**3 - b**2 + b - 1. Let s(a) = 3*h(a) - 21*i(a). Factor s(r).\nAnswer: 3*(r - 200)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 96. What is the nearest to p in -4, -1\/7, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278\/(-973) - 8*11\/(-385).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267772 (base 10) in base 14?\nAnswer: 610c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -3, 2\/7, 14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210 (base 3) to base 7.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -104*z - 108. Let a be f(-1). Put -1, -3, a, 1, 5 in ascending order.\nAnswer: a, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(4*3\/28).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18715 is divided by 82.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 474232?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218 - -222. Let n = 1 + -1. Suppose n*j + 228 = y*j. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 2*o - 3*o - o - o + 4*o + (3 - 3 + 1)*(0 - 8*o + 0).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 116 + 3*v + 59.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 6 = v, 0 = 5*s - v - 22. What is the smallest common multiple of 10 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.7 and -5.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22803259 to the power of 1\/2, to the nearest integer?\nAnswer: 4775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by -2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 12 + (6 - 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198699.\nAnswer: 3, 107, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0*l)\/(l\/(l\/(l*(l\/l**(1\/13))\/l*l*l))*l)*(l\/(l\/l**(-2\/3)))**35)\/(l**4\/l*l*l\/l**(1\/2))**(-36) assuming l is positive.\nAnswer: l**(5294\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/11 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69.07 - -68. Round o to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 4\/(-2)*3. What is the lowest common multiple of (0 - i)*75\/(-10) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/473 and 54\/171613?\nAnswer: 1887743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269306 and 722.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose 5*x - 5 = c, -x = -2*q - 0*x - 81. Find the common denominator of 73\/16 and 294\/q - (0 - 2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1. Let c = 3488 + -3485. Let b(l) = 11*l**3 - 4*l - 4. Determine c*b(q) + 12*s(q).\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from xxxxxxxsssx.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -535*p**3 - 2*p**2 + 12*p - 16. Let v be o(-6). Round v to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 6524?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423593464?\nAnswer: 2, 7, 37, 204437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 19*a - 1. Let h be z(-7). Suppose 3*d + 33 = 543. Calculate the greatest common factor of h and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 4*i - 7*i + 0 + 0 - i - i - 2*i + 2*i + (i - 5 + 5)*(-2 - 2 + 2) - 62*i + 1234*i - 16*i.\nAnswer: 1151*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a**(-1\/18))**48)**(-21\/4) assuming a is positive.\nAnswer: a**266","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/((l*l\/l**1)\/l)*l)\/l)\/l)\/l*l**(2\/19))**9*(l**(-6)*l**(2\/5))**(-42) assuming l is positive.\nAnswer: l**(21579\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*a + 7596 + 8112, 0 = 4*a + 12. What is the greatest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s = 376*s - 2112 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -13) + -19 + -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*c*j**3 + 17115*c*j**2 + 3*c*j - 330353*c + 2*j**2 wrt j.\nAnswer: -144*c*j + 34230*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 17*t**2 + 6*t + 22. Give k(-17).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416759?\nAnswer: 7, 29, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:20 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -258*x + 6150. Determine f(24).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336\/37 or -8?\nAnswer: -336\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*n - 46*n + 83*n - 5 to z + h*n and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59771 (base 12) in base 14?\nAnswer: 31bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5121.2 - 5121. Sort 2, i, -43, 3\/5 in increasing order.\nAnswer: -43, i, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9357.56 years to centuries.\nAnswer: 93.5756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(8\/19) - (-66)\/(-176). Suppose 0 = 3*y + y - 12. Suppose d - 3 = 0, -y*p + 8*p - d = 17. Solve -m*t = 2*w - 1 - 1, p*t = -3*w + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 11)*(-4)\/10. Let i be 1\/3 - 17\/15. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*n = -0*n - 14, a - 14 = 4*n. Suppose -a*o - 140 = -18*o. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 - -0.09. Round c to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.5 + -41. Let c = p + -65. Let d = c - -18.50000347. Round d to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + -138. Which is greater: s or 4\/21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 + 30*c - 30*c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197285360 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7*p)\/p)**(4\/3)*(p**1\/p)**(-11) assuming p is positive.\nAnswer: p**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(12 - 276\/16). Which is the closest to -7? (a) -5 (b) -7 (c) -0.02 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1000?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16\/665 - -1\/35. What is the nearest to 0 in 0, b, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = g - 4*g. Let w = -13 - g. Solve 4*f + 14 = -x, 5*x = 3*f + w*x + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 1. Suppose -4*a + 71 = 4*o + 11, 81 = 5*a + 2*o. Let v be 1 + 0 + (15 - a). Give x(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1542, -1649, -1756, -1863, -1970?\n\"Answer: -107*p - 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/185624641 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27004 divided by 314.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 17 = 2*l, -2*h = 2*l - 2 - 12. Suppose 18*r + l*r = 728. Solve r - 3 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, 24821, 3 in descending order.\nAnswer: 24821, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + h + 621, -3*h - 3 = 12. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-212)\/(-14))\/((-302)\/(-39109)). What is the greatest common divisor of 106 and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2 and -23\/898558.\nAnswer: 898558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -3*b - 3348. What are the prime factors of b?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5*s - 137*q**3*s - q**2 - q*s + 22*q wrt q.\nAnswer: -20*q**3*s - 822*q*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1126*j - 24. Let s(g) = 47*g - 1. Let w(d) = 24*s(d) - z(d). Let r(i) be the first derivative of -32*i**3\/3 - 5*i**2\/2 + 2. Calculate w(r(t)).\nAnswer: -64*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxyxlylugvxygyx. Give prob of picking 1 v and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4139246, -4139250, -4139256, -4139264, -4139274?\nAnswer: -4139286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(114)*4)\/((sqrt(66)*2)\/sqrt(11) + sqrt(66)\/((sqrt(99) - sqrt(11)) + sqrt(11)))*3.\nAnswer: 144*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 + 155. Let l = 92 - n. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m**2 + 18*m - 9. Let t(a) = 5*a**2 + 6*a - 3. Let y(x) = -4*i(x) + 11*t(x). Let h be y(-6). Suppose -j + h*j - 178 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -12202, 3\/22, -0.28?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*103.731.\nAnswer: -10.3731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5 + 5)*(4 - 1 + 1)*(118 - 177*p - 118).\nAnswer: -1416*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/120 + j**5\/60 + j**4\/6 - 2*j**3\/3 - 136*j**2. Calculate q(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-30) + ((-19070)\/(-12) - -6). What is c rounded to the nearest ten?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 1.2, 5, -3, 50, -39 in increasing order.\nAnswer: -39, -3, 1.2, 5\/2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: (-63)\/3*(-64)\/224*(-19)\/(-1767)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984, 989, 994, 999, 1004?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9433659 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 v(w) = 2*w**3 + 6*w**2 - 7*w. Let h(q) = q**3 + q**2 - 1. Suppose -3*d + 0*d = 2*a + 13, a + 9 = -4*d. Let r(t) = d*h(t) + v(t). What is r(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.34869 and -5.\nAnswer: 6.74345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 5:18 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.73. Let x = g - -0.03. Which is bigger: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 278, 356, 390?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 403340626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, 9 in descending order.\nAnswer: 14, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6458222*r**4 - 22*r**3 + 1487*r**2 + 9*r - 3855 wrt r.\nAnswer: -154997328*r - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 20 = -58*p. Suppose -p*j - h + 5 + 24 = 0, 0 = -3*j - 5*h + 26. Suppose 51 = j*m - 19. Calculate the greatest common factor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -961, -87, 47, 2, -1 in ascending order.\nAnswer: -961, -87, -4, -1, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3834, 15287, 34368, 61071, 95390, 137319?\n\"Answer: -a**3 + 3820*a**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by 1131.\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204761173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3 - 5025*a**2 - 33055*a - 15270.\nAnswer: 5*(a - 509)*(a + 6)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 14*a - 3. Let o be w(12). Let y = 42 + o. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49266 (base 10) to base 12.\nAnswer: 24616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + (((-4)\/(-34))\/(-133 - -134) - (-10)\/(-85))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 39*c**2 - 41*c**2 - 2 + 2. Let x(u) = -24*u. Calculate x(d(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/135 and 4\/519885?\nAnswer: 519885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-2)\/sqrt(9) + sqrt(20)\/(sqrt(12)\/sqrt(3)))**2*6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r**2 - 9*r**2 + 19*r + 2*r**2 + 3*r**2 in the form b + p*r**2 + c*r and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 4, e: 2, j: 2, w: 2}. What is prob of sequence beb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -15*w - 2*i + 4, 2*w = i + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -39, 5, 2, -1 in decreasing order.\nAnswer: 5, 2, -1, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 12*z + 4*z + 17*z.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n - 24*n = 13608. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14540, 4\/5, -89, 0.4, -0.3.\nAnswer: -89, -0.3, 1\/14540, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(3) + -5 + sqrt(3) + 2 + 1*sqrt(3) - (-4 + (sqrt(21)\/sqrt(7) - sqrt(3)) + sqrt(3) + 1))**2*4.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.022 - 33.478. Let n = j + 34. Let l = 0.1 + 0.1. What is the closest to 0 in l, 1\/9, n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-3060)\/(-288))*(-5)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.27 - 0.03. Let q = -7 - n. Sort 1, -1, q in ascending order.\nAnswer: -1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.3, 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8881704 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46835.22 or 14\/43?\nAnswer: 14\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21298800 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o*y**4 - 345*o*y + 4262*y**5 + 23*y**2 wrt y?\nAnswer: 120*o*y + 255720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194319 and 1374627.\nAnswer: 37114929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8.97. Let t = g - -4.97. Let f = -6 - -6.4. Which is the closest to 1\/4? (a) t (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, -114, -317, -592, -933, -1334?\n\"Answer: v**3 - 45*v**2 + 3*v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 251*i = -8676. What is the highest common divisor of i and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r = -380001 - 829515. List the prime factors of r.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*t + 66 - 85, 4*t - 24 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 11*h**2 + 17*h + 56. Let w = -473 - -464. Calculate the smallest common multiple of u(w) and 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.689 - 734362.9672?\nAnswer: -734359.2782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from rdaar?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 2 (c) -124\/21 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 76, 133?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3*1 + sqrt(11))*-3.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from zyycc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let u(v) = 10*v - 6. Let z(x) = -19*x + 11. Let j(b) = -11*u(b) - 6*z(b). What is o(j(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-69)\/15)*(0 - -10). Factor 6*n**2 + 3 + 3*n**3 - 3 - 4*n**4 + n**v.\nAnswer: -3*n**2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvzttipippi. Give prob of sequence pz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5656*p**3 - 179306*p**2 + 11314*p**3 + 179306*p**2 - 5659*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49562382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 4:57 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 + -44. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**3 - 7*g**2\/2 - 5*g - 101. Let a be f(-2). Put 16, a, 4 in increasing order.\nAnswer: a, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 11*i**2 - 11*i + 11. Let j be n(10). Let c = j - -1. Calculate the greatest common divisor of 5 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 81 = 4*k. Let n = k - 37. Let i(t) = 4*t**2 - t + 1. Let a be i(1). Solve a*u + 0 = n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154.2 - 28.2. Let a = w + -176. Which is greater: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85945.\nAnswer: 5, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114203374 + 2*t**3 - 114203374.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 120 = -4*m, -3*i - 4*m = -2*i - 10. Calculate the remainder when 4 + ((-2128)\/84)\/(8\/(-12)) is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d**2 - 120*d + 25. Let f be x(-9). What is the greatest common divisor of 1159 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-3\/7)*a*a\/((a*a**(2\/21))\/a)*(a**(-1\/3))**(-30) assuming a is positive.\nAnswer: a**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -13, 3, 194, -162?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 507 = 3*a + 36, -20 = 4*a. Let v = -56 + y. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31558.7 - -29485. Let m = x - -2176. Let i = 94 - m. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 12*x**2 + 11*x. Let c be y(-11). Suppose -4*b - 6*b + 30 = c. Solve -4*g + g - 5*i = 28, 0 = -4*g - b*i - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 1, q: 1, d: 2}. What is prob of sequence qq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:05 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143893.9 litres to millilitres.\nAnswer: 143893900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 9, r: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {u: 2, w: 1, t: 1, d: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.357 + -2.48. Let d = t + 0.026. Let i = 0.1 + d. Round i to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 122. Factor -8\/5*p**3 + 16\/5*p**4 + 2*p**5 + h + 0*p**2 + 0*p.\nAnswer: 2*p**3*(p + 2)*(5*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2. Let x(t) = -49986*t**2 + 2*t - 1. Give x(w(n)).\nAnswer: -1249650*n**4 + 10*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*a - 28, 7 = a + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17798633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -218 (c) 17516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 + 333 - 112 - 111 - 6*a to the form z*a + n and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -70*o + 1. Let h(u) = 69*u + 1. Let k(r) = -5*h(r) - 6*s(r). Differentiate k(y) with respect to y.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31458 - 3*t - 5*t - 2*t - 16811.\nAnswer: -10*t - 48269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vugxmgpxp. Give prob of picking 1 p and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.12 + 38. Let y = q + 0.12. Let u = y + 1.3. What is the nearest to 0 in -5, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by 416.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/24 and ((-442)\/(-24) - 3) + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-393)\/(-12). List the prime factors of 4\/(-22) + 303\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p. Let b(j) = -3*j - 1. Let y be b(-9). Let k = p + y. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 16. Let d be b(-4). What is the second biggest value in 0.5, 7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 11 - 3 = 0. Factor 78*y**3 - 66*y**3 + 3*y - 2*y**2 + 10*y**v + 7*y**2.\nAnswer: 3*y*(y + 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6592013 (base 11) to base 8\nAnswer: 54103652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 9*s**2 + 2*s - 13. What is n(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33088522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 26*g**2 - 48*g + 59. Let z be a(24). Calculate the greatest common factor of 354 and z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - w + 81, t - w + 33 = -t. Let g = t - -16. Suppose 4*c + g*x = 5*x + 13, -1 = 2*c - x. Is -18\/11 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 109231?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92420263 or -92420265?\nAnswer: -92420265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 4016*l**4 + 4012*l**3 = 0.\nAnswer: -1003, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 25. Let a(i) = i + 4. What is the units digit of a(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12 and -1*(8 - 7) + 100\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43853*g**4 + 22296*g**2?\nAnswer: 1052472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m + 18. Let f be z(0). Suppose 2*w + w = f. Factor -2*x**2 - w*x - 8 - 2*x + 0*x.\nAnswer: -2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l + 55. Let h be w(3). Let d(o) = -o**2 - 7*o - 2. Let x be d(-5). Suppose -2*u + x*q = 4*q - 70, u - q - h = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6359*o + 1353 = -5908*o. Find k such that 0*k + 0 - 8\/7*k**2 - 4\/7*k**5 - 16\/7*k**4 - 20\/7*k**o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/5)*p*p\/((p**(-34)*p)\/p)*p\/(p**(-2\/15)*p*p)*p*p**(-3\/8)\/p*p)**18 assuming p is positive.\nAnswer: p**(2661\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c65 + -2?\nAnswer: -c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*h + 21 + 25 = 0, y - h = 7. Let u(s) = 146*s + 1. Is u(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/((b\/(b*b**14))\/b))*b)*b*b*b\/(b**(-12)*b)*b*b*b**(-3)*b\/b**(-5)*b)**11 assuming b is positive.\nAnswer: b**385","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 2*g + 4*g)*(4 - 7*g - 1 - 1).\nAnswer: 14*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 224 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80331104 and 6816?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*q**2 - 34575*q + 17598*q + 16977*q.\nAnswer: 417*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 42 = -2*w, 4*w - 37 - 62 = -b. Calculate the remainder when 152 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -90*s**2 - 10775*s - 10760. Let t(k) = 127*k**2 + 16163*k + 16141. Let y(d) = 7*n(d) + 5*t(d). Let y(p) = 0. Calculate p.\nAnswer: -1077, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20) - (-18)\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2, 87, 25.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.11 + 0.11. Let z = 5 + -4.5. What is the third smallest value in z, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 19 = -2*s - r, -3*r = 4*s - 43. What is the least common multiple of s and 2\/2*(0 - -9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 8*z = 80312 + 9518. What is z rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-915)\/(-24))*-3*5\/60?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904199?\nAnswer: 1103, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*k + 46, 4*k + 382*t = 386*t - 88 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06735174 rounded to three dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1892352 and 3300?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40 times 2169\nAnswer: 86760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -254*r**2 - r. Let w(u) = 760*u**2 + 4*u. Calculate -16*c(h) - 5*w(h).\nAnswer: 264*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 373?\nAnswer: 1\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -590*u + 166. Let d(w) = 197*w - 55. Let a(j) = 16*d(j) + 5*z(j). Let t be a(25). Round t to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18121340 is divided by 29370?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -295797 times -0.03\nAnswer: 8873.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnntjttnntttj. Give prob of picking 1 n and 1 t.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/3 - x**2\/3 + 2*x\/3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 64.17723 decades?\nAnswer: 6.417723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -46*j - 539. Determine u(-6).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {y: 4, g: 2, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0382 times -4?\nAnswer: -0.1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzh when four letters picked without replacement from {z: 3, h: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 112350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 1. Let n be m(8). Let z = -2 + n. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 2*y + 10*y**2 + 0*y + y + 1. Let q be (0 + -1 - 0) + 2. List the prime factors of n(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose -a + 7 = t. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(16\/28)*-1*-1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1724 - -1722. Let k(l) = 67*l**2 + 12*l. Let d(c) = -c**2 - 2*c + 2*c**2 + 3*c. Let y(w) = p*d(w) + k(w). Find b, given that y(b) = 0.\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyx when three letters picked without replacement from {m: 1, y: 1, f: 2, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose 3*c - g - 1 = -5*z, 2*z - 28 = 4*c. Suppose -23 = -5*y + 3*h, -2*y + 4*h = -2 - 10. Solve -y = u - 2*t, -4*t + 8 = z*u - 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 29. Let b(t) = 12226175*t. Give b(u(l)).\nAnswer: 12226175*l + 354559075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 17. What is the nearest to 3 in 1\/6, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 1 + 0*n**2 + n**3 - n**2. Let s(a) = -5*a**3 + 6. Calculate s(b) + 6*v(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45913?\nAnswer: 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.498 + -1.898. Let k = 0.12 + -0.32. What is the closest to k in -3, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from {v: 1, o: 2, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.29 and 4.\nAnswer: -5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 987 times -1369.14\nAnswer: -1351341.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24832 - -149.977\nAnswer: -24682.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwww. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/3 + 13*w**3 + 1754*w**2\/3 - 1312*w - 14560\/3 = 0. What is w?\nAnswer: -28, -2, 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5301919 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19170 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.266, 2.2, -0.3, -1\/4 in increasing order.\nAnswer: -3, -0.3, -0.266, -1\/4, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, k: 5, c: 1, d: 3}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1473077, 2945930, 4418783, 5891636, 7364489, 8837342?\nAnswer: 10310195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16a + 17?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 51, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 771273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25874450 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/8)\/((6\/106)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 + l - 2. Let r be i(4). Suppose 0 - 6 = -r*n. Suppose 4*p = n*p + 203. Round p to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:57 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4389 is divided by 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l - 13. Let m be h(-6). Suppose 7*c + 5 = m. Suppose 4*z + 196 - 2528 = c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -13611 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*n + 54, 2*r - 58 = -16*n + 13*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c780c0 + 9?\nAnswer: -c780b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (25 - 2990\/104 - 15).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 33 - 3. Let c(i) = 25*i**2 + 2*i - 1. What is the least common multiple of c(1) and v?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 8, 2*s - 78*j = -67*j + 88 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**3 - o**2 + 1. Let d be t(1). Suppose 32 = 3*l + 5. Solve -d = -4*n + 6, -u = 2*n - l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3470747.91 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 255.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90002 = 9*f + 15005. What are the prime factors of f?\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.6 + 6.1. Which is the nearest to 0? (a) -5 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 7 - 20. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*p = -549*p - 112. What is the highest common divisor of 504 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26210233*d**2*y + 5*d**2 - 106207*y + 129 wrt d?\nAnswer: -52420466*d*y + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/47934810 and 131\/79891350.\nAnswer: 239674050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*f - 720, -2*f + d = -4*f - 481. Let w = -170 - f. Let m = 53 + w. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.5 - -41. Which is the closest to 17? (a) -0.2 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/1*96\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-17)\/(-14) + -1). Let j = 3.14 + 0.86. Let k = 7 + -11. Which is the biggest value? (a) j (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -298*y + 185. Calculate h(1).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 - 3. Let b = 0 - u. Let j = -107.6 - -105.6. What is the nearest to b in -4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528640531*-1.\nAnswer: 528640531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 w, 1 f, and 1 j when four letters picked without replacement from fjjjsjfrfjffwrsj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2531*q + 1049. Let r(h) = -2531*h + 1048. Let v(t) = 3*m(t) - 4*r(t). Differentiate v(k) with respect to k.\nAnswer: 2531","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 4 + 14*j**3 - 2*j**3 + 17.\nAnswer: 7*j**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20326?\nAnswer: 2, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 372916589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 59 = 8*l. Calculate the least common multiple of l and (50 - 6) + (-2 - -4).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/18)\/((-2)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -185*a + 183*a + 360. Suppose 12*k - a = -0*k. Solve 0 = 6*h + k + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -542 + 560. Suppose -v + w = -q, -w + 46 = v + 2*v. Round v to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 20. Suppose -4*a + 154 = -j - m, 4*a - 177 = -3*j. Suppose -11*i = -10*i - 28. Calculate the highest common factor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -708 + 704.968. Let d = 0.032 + j. Let w be (2\/(-48))\/((-9)\/18). Is d >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 8*l - 48 = 0. What is the smallest common multiple of 14 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**2\/2 + 4*b + 18. What is q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3\/4 - 177*n**2\/8 + 165*n - 362. Solve y(d) = 0 for d.\nAnswer: 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:16 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1238268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 574812 divided by -63\nAnswer: -9124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137, 166, 211, 272, 349, 442, 551?\n\"Answer: 8*v**2 + 5*v + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 121574*l**3 + 4 - 121575*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-6 - 4) + 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 2*j**3 - 2*j**3)*(-7*j**2 + 39*j**2 - 37*j**2).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - 0.05. Let s = 10.4 - -1.63. Let g = k - s. Which is bigger: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**6\/15 + 2*v**5\/5 - v**4\/2 - 4*v**3\/3 + 4*v**2 + 48*v. Factor b(w).\nAnswer: -2*(w - 2)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5030411 (base 9) to base 15\nAnswer: -37d3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12337 and 10410062.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -85782 >= -86075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0)*(-1)\/(-1). Suppose -5*g = n - 35, -2*n + a = g + 4. Let u(c) = c**2 - 10*c + 11. Give u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14152113 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 14742*d + 103341.\nAnswer: -3*(d - 4921)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/4*-3*16\/9. Let r be 115\/w - 4\/(-16). Which is the third smallest value? (a) -1\/5 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -537\/40 + 161\/12. Let g = -2\/15 - j. Let a = 2.8 + -3. What is the second biggest value in 2, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072538301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.516722 millilitres to litres.\nAnswer: 0.001516722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, k: 3}. What is prob of sequence kxkk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 13. Let j be x(11). Let w = 4 - j. Solve -7*s = -w*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose 8*m - 2 = 6. Solve 2*u = g + m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 124762036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, -0.2, 18\/13, 3?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1580.06316 + 1580. Let n = w + 0.056. What is n rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 4*f + 5. Let h(j) = 6*j**2 - 7*j - 9. Let i(m) = -11*c(m) - 6*h(m). Give i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -6.1, 18, -2, -1\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 19. Calculate the remainder when 1 - (-3 + 70)*-1 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 - 4*q**4 - 1278*q + 3*q**4 + 13*q**4 - 18*q**4 - 148*q**3 wrt q?\nAnswer: -48*q**2 - 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4533 (base 13) to base 2\nAnswer: -10010111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 15}. Give prob of sequence mu.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12438 and 17\/5?\nAnswer: 62190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712756?\nAnswer: 2, 353, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037500693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7550 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 - -10.82. Let u = 10 - s. Let k = 0.2 - -0.2. Which is the nearest to -1? (a) k (b) 4\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 10. Let s be t(28). Let x(y) = -3*y**2 + 57*y - 36. Let l be x(s). Solve 0 = -b + 4, -2*u + l = u + 3*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/30*16\/28. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/32 - ((-15)\/4)\/(-5). Let d = 0.4 - 0.1. Which is the third smallest value? (a) q (b) 2\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 <= -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 907 = -17*b + 19*b, t - 3 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 + 65*f + 29. Is q(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 649 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48915227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 4. Let i(k) = k**2 + 4*k + 6. Let x be i(-4). What are the prime factors of h(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, 1937, 19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 19 = 5*q - 96, 4*q - 5*s - 92 = 0. Let h = -17 + q. What is the remainder when 136 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 6149.111.\nAnswer: -6158.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57736*m**2 + 53659*m?\nAnswer: -115472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + 288. Let r = 455 - s. Determine x so that -5\/2 + 2*x + 1\/2*x**r = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:23 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723010 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 21 = v - 34 - 20, 3*v + 3*x - 21 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.687 - -7.687. What is the fourth smallest value in -0.5, 30.4, a, -3\/5?\nAnswer: 30.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11)\/(-44) + (-3)\/8*(-47692)\/6?\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32238820 plus 0.0818?\nAnswer: 32238820.0818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23348 and 12765519?\nAnswer: 5837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, -711, -1994, -3791, -6102, -8927?\n\"Answer: -257*z**2 + 2*z + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let q = -0.2 + -0.3. What is the biggest value in x, -3\/7, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/27, -3, -3.9, 4, -10, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33375 and 173550.\nAnswer: 867750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 26, -5 in descending order.\nAnswer: 26, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -253*g + 24. Let b = 29 - 30. What is the tens digit of o(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/15 + 3*r**5\/20 - r**4\/12 - r**3\/2 - r**2\/2 - 5*r. Find a, given that u(a) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 380 - 379. Suppose 0*l - 21 = -l. Solve 5*r = -3*q - 14, f = -4*r + 3*q - l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363912, 727862, 1091860, 1455930, 1820096, 2184382, 2548812?\nAnswer: 2913410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:40 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + h + 2*h)*(6*h**2 - 8*h + 6*h + h**2) as g + l*h**2 + d*h**3 + z*h and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21619 - -21624. Sort 2, 2\/181, 2\/17, j in decreasing order.\nAnswer: j, 2, 2\/17, 2\/181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 20 = -4*n, 4*n - 5*j = -8. Suppose -r + 8 = -n*l, -2*l + 0*l = 2. Solve r*h - 2*f = -15, 5*f - 22 - 2 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -6*2\/4. Suppose -987 = -i*x + 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-7) + (-30)\/35. What is the third biggest value in h, -11\/5, -0.4, 1\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let v be 49000*(0 + z + -1). What is v rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 75*z**2 - 236*z + 446. Give u(-33).\nAnswer: -1567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-3*m**2 + 3*m**2 + 2*m**2) + (-3 + 2 + 0)*(-7*m + 12*m + 13*m)*(-3*m + 4*m - 3*m) as j*m**2 + u*m + t and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {k: 2, v: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 >= -284685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -299*k**6\/30 + k**3\/6 + 11*k**2\/2 - 34*k. What is the second derivative of j(f) wrt f?\nAnswer: -3588*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/30 and 43\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 7*u - 43332 + 43674 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 33, -3, 5.\nAnswer: -5, -3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/3*(-348)\/16. Let i = -12 - h. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)**(-40)*(k\/(k\/(k*k**(-1\/3)*k)*k))**(2\/109))\/(k**(-1\/10)*k*(k**(-1\/5)*k)\/k)**(2\/19) assuming k is positive.\nAnswer: k**(-1244509\/31065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 329 - 211 = 0. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482705 by 1.\nAnswer: 482705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.01 - -0.01. Let h be -3 - (1\/(-8))\/(1\/26). Let x = h + 1\/12. Which is the closest to 0.01? (a) o (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37888145 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*-9*8\/(-12). Let d(b) = -b**3 - 7*b**2 - 7*b - 3. Let y be d(r). Solve 5*n + y*v - 4 = 4, 3*n = 2*v + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 + 9*w - 4. Let m be z(8). Suppose m*a = 70 + 10. What is the highest common divisor of 220 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 93 - (4\/5 + (-5)\/(-25)). Calculate the remainder when 3\/((-18)\/9 + 190\/h) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -9366.7?\nAnswer: 9366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let b(m) = -2083*m**2 + 34. Give l(b(j)).\nAnswer: 4166*j**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from zejeujhjjiueiuieeeju?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*j = -105*j + 10. Which is the fifth smallest value? (a) -0.3 (b) j (c) -2\/15 (d) 0 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -25813593?\nAnswer: 25813593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061642743 to four dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 148465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4830 or -228?\nAnswer: 4830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 11*v**2 + v - 9. Let k be b(11). Suppose 3*r - 4*r - 7 = 0. Let x = -5 - r. Solve 5*d + 15 = -5*s, -3*d + 4*s + x = -k*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2 + (-1 + 1 + 2)*(-2 - 2 + 6))*(-2*d + 0 + 0)*(d - 3*d + d).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**10\/50400 + w**9\/20160 - w**8\/3360 - 7*w**5\/60 - 7*w**2. Let h(p) be the third derivative of c(p). Solve h(s) = 0 for s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-20706.\nAnswer: 2070.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -188, -543, -1078, -1799, -2712, -3823, -5138, -6663?\n\"Answer: -w**3 - 84*w**2 - 96*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1022.711 - 821.5746. Let v = 201 - y. Let m = v + 0.13. What is m rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29370 divided by -5.\nAnswer: 5874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/7)*i*i\/(i\/(i*(i*i\/((i**(-8)\/i)\/i))\/i)))\/(i**(-2\/13)\/i**(1\/4)) assuming i is positive.\nAnswer: i**(5087\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 744 and 72.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-3 + sqrt(153) + 1)*1 - (1 + sqrt(153) + -5 + (0 + sqrt(153))*-1))*3*1)**2.\nAnswer: 18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxgdooodcdo. Give prob of picking 1 x and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 12 - 2)*(-q - q + 4*q + (-2 + 3 - 2 + (0 + 2 - 5)*(3 + 2 - 4))*(q - 4*q + 2*q)) to s + d*q and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 2048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 7*l**2 + 4*l**2)*(3 - 3 + 1) - 1 + 6 - 2*l**2 + l**2.\nAnswer: -2*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m\/m**5)*m**13*m assuming m is positive.\nAnswer: m**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -19*w**4\/12 + w**3\/2 + 11*w**2 + 18. Let s(d) be the second derivative of v(d). Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994136 is divided by 1817?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiniiiiiiiiiiiiiiiii. Give prob of picking 1 n and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/168*-9)\/(5\/(-20))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273137, -273125, -273113, -273101, -273089?\nAnswer: -273077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1296 - -838. Suppose f = -4*z + 2514. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(70)\/sqrt(40))*4.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 474.09 + -472. Let f = -0.18 + 0.27. Let a = f - r. What is the closest to -1\/2 in -0.5, a, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8926, -8983, -9040, -9097?\nAnswer: -9154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(h**2 + h**2 - 3*h**2) + (-3 + 4 + 0 + (1 + 0 + 0)*(1 + 0 + 0))*(-490*h + 490*h - 88*h**2).\nAnswer: -175*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2523\/4565 - 3\/415. Suppose -2*t - t + d - 1 = 0, 18 = t - 4*d. What is the closest to t in 0.2, m, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306593, -306578, -306563, -306548, -306533?\nAnswer: -306518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46537?\nAnswer: 173, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*(-3)\/9*1. What are the prime factors of (-4)\/(i*(-4)\/(-114))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1509950776 and 0.075616.\nAnswer: 1509950776.075616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41328 by 82.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2989*x + 7658 = -2442*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -8) + (10 - (-2 + 9 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230 - 3?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 61*h + 848. Determine s(-15).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210375535 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*l + 376, -5*c + l = -0*l - 638. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193944*q**2 - 193944*q**2 + 41*q**3.\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/(j*j**(-7\/3)*j*j)))*j)\/(j\/(j\/j**9)))**(-19))**11 assuming j is positive.\nAnswer: j**(4807\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 1. Let n = -15 + 13. Suppose 0 + 4 = 2*p. Let r(w) = -2*w**2 - w + 1. Let b(j) = n*g(j) + p*r(j). Suppose b(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 0. Suppose 3*g = -4*v + 71, 3*g = -3*v - y*v + 69. Suppose 0 = 4*a + a - 35. What is the highest common divisor of a and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/(r*r**8))\/(r**0)**44 assuming r is positive.\nAnswer: r**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.184 - -1.484. Let m = 128 + l. What is the biggest value in -1, 2\/7, 0.7, m?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -51342765?\nAnswer: -51342775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 88 = -4*t - 6*a, -24 = 3*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wywwyyywwyyywyywywwy.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 14*x - 3 - 12*x + 3*x**3 + 2*x**2 - 4*x**4 in the form a*x + f*x**3 + l*x**2 + p*x**4 + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/35)\/((-72)\/(-63))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*l**2\/5 - 4422423*l\/5 + 2948286\/5.\nAnswer: -3*(l + 491381)*(3*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*(sqrt(180)\/sqrt(4) - 1*sqrt(720)))**2)*2.\nAnswer: 7284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13798 + -482964\/35. Let z = -11\/7 - k. Suppose -2*f + 11 - 13 = 0. Which is greater: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300019 + 2*s + 300019.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 - 2*r**2 - 14*r + 4. Let l(h) = -5*h**3 + h**2 + 13*h - 4. Let i(p) = 7*l(p) + 6*o(p). Determine i(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1\/4*p - 1\/4*p**4 + 0 - 1\/4*p**3 + 1\/4*p**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 241*v + 706. Give t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3569649 times 0.05?\nAnswer: -178482.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -55. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4\/4 - 2*b**3 - 4*b**2 + 4*b + 2. Let f = 21 + -26. What is the tens digit of r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, 4, -116, -2\/5, -11, 16 in decreasing order.\nAnswer: 16, 4, 2\/49, -2\/5, -11, -116","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7150121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6024 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2715289 and -803.\nAnswer: 2714486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5190930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2 (c) -1\/6 (d) 0.2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 269755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 5*y + 17, -y + 3 = 4*s. Suppose 31*o = 5*v + 33*o - 17, 0 = v + o - 1. Solve 0 = -c + v*f + 13, s = 3*c - c - 2*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 1\/20*p**5 + 161*p + 0 - 13\/2*p**2 - 1\/3*p**3 + 3\/4*p**4. Calculate a(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 6*t**2 + t + 6. Let h be c(-6). Suppose -3*k + 5*s + 15 = h, 3*k - 1 = 4*s + 11. Suppose k = q + 3*q - 24. Solve -q*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17045 and 1190.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from gmgfgogooofofo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144649 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249 (base 16) to base 8.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 258 + 1712. What is the remainder when f is divided by (-466)\/(-14) + (-54)\/189?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-4))\/u)\/((u\/(u**2*u))\/u))\/(u**(-2\/11)\/u**(-2\/27)) assuming u is positive.\nAnswer: u**(-265\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 75574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 - y - 7*y**2 - 3*y - 4 + 2*y to v*y + z + h*y**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 326\/7*f + 0 + 2\/7*f**2.\nAnswer: 2*f*(f + 163)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - (0 - 3) - 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46119*c + 46115*c - 92231*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5274)\/586)\/((-621)\/(-9))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*p - 5*p + 29 = 0, 0 = y - p - 98 - 112 + 218 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000630312 to 6 dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24791 + -24094. Calculate the highest common divisor of 221 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 36?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -8 in increasing order.\nAnswer: -8, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34091344?\nAnswer: 2, 7, 79, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(245) - (1*sqrt(245) + -5))**2 - sqrt(245)) - (5*(5 + -1*sqrt(80) + sqrt(80)))**2.\nAnswer: -775 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (268*(-31 - 13))\/((-1)\/(2 - 1)). Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*a**2*i**5 + a**2*i**2 + 37*a*i**5 + 143*i**2 + 5*i wrt i?\nAnswer: -1740*a**2*i**2 + 2220*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*627083\nAnswer: 1003332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*6\/360 + 4\/36*6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = n - 14. Suppose n*y = y + 1636. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 904\/14 - (-212)\/(-371)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6 - -2)\/(20 - 1778\/84)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431583 (base 11) in base 16?\nAnswer: -259013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:47 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -3)\/((12\/(-783))\/(-2)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19758 - 10*p**2 + 7*p**2 + 19758.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 6*x**2 + 5*x + 6. Let y be s(5). Let h(j) = -j**2 + 29*j - 97. Let g be h(4). What is the greatest common divisor of y and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*p - 67259, p + 67254 = 4*k + 3*p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 2.5?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-3))\/((-3)\/9). Let f(t) be the first derivative of -t**2\/2 - 2*t + 2. Let u be f(i). Solve -4*z + 1 = -u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(96)*4)\/sqrt(3))\/((sqrt(252)\/sqrt(7))\/sqrt(9)*2).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872) + 2 + 3 + sqrt(1872)*4 - (-1*(-1 + sqrt(1872))*2 + 2))**2.\nAnswer: 168*sqrt(13) + 91729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(768)*3 - sqrt(12)) - ((sqrt(360) + (sqrt(360)*-3 - sqrt(360)))\/sqrt(10))\/sqrt(12).\nAnswer: 70*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0 + 0 + 2 - 2 + 8*d. Let g(n) be the second derivative of n**4\/6 - 52*n. Give o(g(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 3 - (0 + -3). Suppose g = 5 - f. Put g, -3, -4 in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*g - 2767*g + 680*g + 701*g + 692*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 125\/2. Let w(b) be the first derivative of -d*b**2 + 2*b + 1. Find the first derivative of w(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13514, 17196, 20874, 24548, 28218, 31884, 35546?\nAnswer: 39204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x - 8. Find the second derivative of x*l**3 - 2*l - l**3 + 0*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u - 3. Suppose a + 0 = 3*x - 1, -31 = a + 3*x. Let t = 3 - a. What is the remainder when s(-4) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/17 - 31326*k\/17 + 62660\/17 = 0. Calculate k.\nAnswer: -15665, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17829, -35660, -53491, -71322, -89153, -106984?\nAnswer: -124815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69224734 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 6*k + 5. Let c(d) = -d**2 + 5*d + 4. Let o(z) = -2*c(z) + 3*g(z). Determine o(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14114 + 25462. Let t = -249577\/22 + l. Find the common denominator of 21\/2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**4\/4 - 14*a**3\/3 + 7*a**2 - a - 1. Let s be b(-15). Solve -1 = 3*r + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35396 is divided by 2113?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.99 + -127.99. Let m = v - -126.9. What is the smallest value in 14, 4\/7, m, -1\/14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 - f + 106. Determine c(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**6*o**2 + 6703*m**6 + m**2 + 93*m + 32*o**2 wrt m.\nAnswer: 120*m**3*o**2 + 804360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 150*q + 1299. Is 4 a factor of o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:36 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3795638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -276488*i**6*t**3 + 31781*i**2*t**3 + i**2*t - i**2 wrt i?\nAnswer: -33178560*i**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**2 + 5*i**2 - 17*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6749 divide 2084855764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(1\/7) assuming o is positive.\nAnswer: o**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.55 + -1.45. Sort q, 2, 0, -5 in descending order.\nAnswer: 2, q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*1)\/((-36)\/45).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + ((sqrt(3) + 0 + -4)*-1)**2).\nAnswer: -120 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 + -0.1. Let h = 2 - x. Let f = -5 - h. Which is the smallest value? (a) f (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**4\/24 + 21*j**2. Let l(g) = -5*g + 5*g - 4*g. Give l(y(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1104124 and 252.\nAnswer: 9937116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 9)\/(6\/2). Factor -12*c + 3*c**2 + 4 - 8*c**3 + 9*c**2 + 4*c**h.\nAnswer: -4*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9090, 18065, 27040, 36015, 44990?\nAnswer: 53965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 9. Let k(f) = f**2 - 7*f + 8. Let a be k(j). Suppose 0 = a*o - 22 + 6. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 8}. Give prob of picking 2 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 7642*x\/3 - 372428.\nAnswer: 2*(x - 3962)*(x + 141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqy when three letters picked without replacement from {y: 9, q: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(-2)\/(16\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 12 + 1 - 13.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)\/v)**(1\/5)*v**14\/(v\/v**10) assuming v is positive.\nAnswer: v**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 165954127?\nAnswer: 165954129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - -1. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50*5)\/(-1*4\/(-84640)). What is q rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 + 3*m - 11. Let j be z(-6). Suppose i + 1 = -1. Let b(v) = -v - 1. Let h(n) = -4*n - 4. Determine i*h(s) + j*b(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14309 is divided by 7149.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5 + 216*n**4 + 2968*n**3 + 2544*n**2 - 2972*n - 2760 = 0 for n.\nAnswer: -30, -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Factor -7*d**3 - 19*d**4 - z*d**3 - 9*d**4 + 4*d**3.\nAnswer: -4*d**3*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 2, -331533, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 8 - 8 - 3 - 2*b + 3 + (2*b + 0*b - 3*b)*(1 - 2 + 0) - b + 0*b + 8*b to the form r + d*b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/60*((-48)\/(-15) - 6069\/(-255)). Find k, given that -n*k + 3\/4*k**2 - 15\/2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.18, -1, 1116, -34\/7, -3\/7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/5415271 or 0?\nAnswer: 9\/5415271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107347, -214674, -321983, -429274?\nAnswer: -536547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**4\/12 - v**2. Suppose -3*y + 299 = -352. Let u(p) = -217 + p + y. What is u(c(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-16)*(c\/c**(1\/2))\/c*(c**(-2\/5)\/c*c)\/c*(c**(-2\/5)*c**(2\/29))\/(c**(-2\/5))**(-3\/2) assuming c is positive.\nAnswer: c**(3819\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Suppose -d = -74 + f. Let q = -116 + 126. What is the highest common divisor of d and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 2. Let k = -3.88 + -0.12. Sort 2\/17, k, r in ascending order.\nAnswer: k, r, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - h + 4*h)*(-16*h**2 + 3*h**2 - 16*h**2) - h**2 - 169*h - 4 - 2*h**3 + 367*h - 188*h to t*h**2 + c*h**3 + b*h + m and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(2*((sqrt(114) - (sqrt(114) - sqrt(114)*-1)) + sqrt(114) - sqrt(114)) - sqrt(114))*6)\/(-1*(sqrt(6) + (sqrt(6) + sqrt(726)*3 - sqrt(6)))*-5))**2.\nAnswer: 55404\/7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**3 + 7*j**2 - 17*j - 7. Let z(g) = -3 + 3*g**2 - 5*g**3 + 3*g**3 - 8*g - 2*g**3 - 3*g**3 + 2*g**3. Give 3*r(w) - 7*z(w).\nAnswer: 2*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from iikikoooikokiii.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 232232012?\nAnswer: 232231342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120001012100 - 1212?\nAnswer: -120001021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*b + b, 3*k + 32 = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222 - 123. Let m = p + -50. Let q = m - 48. Put 2, 4\/9, q, 4\/7 in increasing order.\nAnswer: 4\/9, 4\/7, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21447971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/18*8\/(-3). Let u = 45 - t. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 54*d. Let k(w) = 762665*w**2. Calculate i(k(t)).\nAnswer: 41183910*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*o = 1 - 12, 0 = 3*o + 15. Let u(c) = c**3 + 4*c**2 + 3*c + 4. Give u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -136.7. Which is the nearest to 1? (a) 2 (b) 4\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 83 = -4*b, -127*f - 63 = -130*f + 3*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {c: 6, r: 7, h: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19917 is divided by 738.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3658916, 3658922, 3658930, 3658940, 3658952, 3658966?\nAnswer: 3658982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 135 - 3*m**2 + 26*m**3 - 135 as u + g*m**2 + y*m + s*m**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -40. Suppose -2 + k = o. Solve -4*h = 2*t - 2*h - o, -4*t + 8 = -2*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 6*z - 6. Let s be w(7). Is ((-28)\/4)\/(s\/(-7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 23 - 12. Suppose 0 = -p + k. Suppose -q + p*q - 252 = 0. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37296 and 15098832.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/3, 0.14, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 470.173 * -0.4\nAnswer: -188.0692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sannsansnsssn. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24691 or 24693?\nAnswer: 24693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-10))\/((-79)\/4740). Calculate the highest common divisor of h and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 15, d: 3}. What is prob of sequence dd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*o, -3*a + 32 = -4*o + 7. Let u = 0 - a. Is -3 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837625139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56 and 32691.\nAnswer: -1830696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + 2. Let b(a) be the second derivative of a**5 + 5*a**2 + 4*a - 5. Calculate -2*b(i) + 11*q(i).\nAnswer: 4*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 6 - 5 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7157 bigger than -7165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:50 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 203, 2, -3 in decreasing order.\nAnswer: 203, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-15)*330\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 0.26. Let t = 0.22 - g. Let f = -2 + 3. Put f, -2\/13, t in decreasing order.\nAnswer: f, t, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42160 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1415034 (base 7) to base 12\nAnswer: 91476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (325\/(-25))\/(650\/(-2000))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(20)\/(-2*sqrt(5))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 - 7 = 0. Suppose -2*b + 4*b - 5*r + f = 0, 0 = -4*b - 4*r - 24. Let h(y) = -7*y + 7. Is h(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1317*u + 265. Let g be v(-15). Suppose -5*p - 8*p = -g. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 - 164. Suppose 3*c = 2*m - c - 28, w*c - 1 = -4*m. Solve 3*l - 23 = -5*i, 4*l - m*i + 0*i = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 5*h + h)*(-1 - 4*h**2 + 1).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1073, -1073, -1075, -1079, -1085, -1093, -1103?\n\"Answer: -j**2 + 3*j - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/180 - ((-15)\/(-105) + 5\/14)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w - 11. Let x be h(2). Solve -5*z + 1 = -4*j, -4*z - 5*j - x = -7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 561+1416755843\nAnswer: 1416756404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from {v: 2, s: 11, w: 4, c: 2}.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**3 + 4056*f + 8*f**3 - 4056*f + 29*f**2 wrt f.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = q - 63 - 69, 2*q = w + 249. Calculate the highest common divisor of q and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l - 5*j - 35, 0 = 2*l + 2*j + 18. Let q(r) = r**3 + 5*r**2 + 1. Let m be q(l). Let n be 16\/4*m\/(-6). What is the nearest to -0.1 in n, 5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164351375.\nAnswer: 5, 43, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35951 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ywqqywwaqwa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 8 - 116\/44. Is b greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6328)\/(-12882)*5\/(70\/6)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-225)\/(-10) + (-3)\/6. Let x = 26 - u. Let h(m) = 5*m - 1. What is the units digit of h(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 4\/11, 0, -0.3 in increasing order.\nAnswer: -85, -0.3, 0, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*z - 11, 0*v + 2*z = -3*v - 19. Let i be 2 - 2*(-2 - v). Is (-53*(-1 - i))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102446.16 + -6223362.84. Let t = 6325746.99957 + b. Let p = 62 + t. Round p to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95296875 divided by -152475?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*i + 3480 = -44*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -111?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55\/(-3))\/(2\/6). Let a = -33 - b. What is the smallest common multiple of a and 24\/(-14)*14\/(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*q - 35*q - 49*q - 68*q + 38 - 67*q + 344*q.\nAnswer: 61*q + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.854 + 0.146. Let u = 2.5 - 3. Which is the nearest to -3? (a) u (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*d = 59*d - 54*d - 520. Let u = 0 + -3. Sort u, 4, -1, d in ascending order.\nAnswer: u, -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -77*h**3 + 22*h**2. Let y(r) = 11*r**3 - 3*r**2. Calculate 3*p(o) + 22*y(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a - 37. Let h be s(-3). Let b(f) = -79*f + 397. Let t be b(h). Let x be 1 - (0 + 1 - 0). Solve x = -4*j + t - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:05 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:31 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.16 + 52.84. Let h = -4845.048 - -4744. Let u = h + y. Round u to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r**2 + 20*r + 656. List the prime factors of f(-29).\nAnswer: 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1782837, 10, -1 in increasing order.\nAnswer: -1782837, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20050 or -20044?\nAnswer: -20044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1351.06 - -1351. Which is the biggest value? (a) 21 (b) -4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 40848000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4\/3 - 24*n**3 + 116*n**2\/3 + 64*n = 0. What is n?\nAnswer: -1, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/21, 24, 1, 0.3, 9, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.45 (b) -0.5 (c) 3\/8 (d) 3 (e) -2 (f) 2\/3 (g) 8.08\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 34, 29, 6, -41?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:20 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-27)\/(-6) - 5). Suppose c = 29*b - 1975 + 786. What is the remainder when b is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 237.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t + t - t - 9*t. Let i(g) = -g**2. Determine i(n(y)).\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19.4703694619 + -251\nAnswer: -270.4703694619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -17. Let m be -1*(b - -1)\/(-3). Calculate the smallest common multiple of 37\/m + 2\/(-7) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 261.0199 litres?\nAnswer: 261019.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -3 - -11 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:43 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*z - 29, 4*q - 4 = -5*z - 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.44682726 to three decimal places.\nAnswer: -8.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -517 - -1089\/2. Let i(b) = 3*b**2 + 2*b - 1. Let h be i(-3). Find the common denominator of -1 + 0 + 114\/h and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-8)\/(-4) - 3). Suppose g = -5*n + n + 1063992. Suppose 0 = -o - q + 229997, -o - 3*q + n - 36007 = 0. Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69223 - 6091539\/88. What is the common denominator of 71\/144 and v?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.5 or 6?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*6612055\nAnswer: 13224110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -29. Let z be (-6)\/4*28\/h. Suppose 47 = z*r - 23. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 90. Let i = -18 + h. Let y = -11 - -14. Are y and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39611 and -0.08.\nAnswer: -3168.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 8*c + 8. What are the prime factors of a(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 6*t**2 - 10*t**2 - 2*t**3 - 6*t - 12*t**2 - 21*t + t.\nAnswer: -2*(t + 1)**2*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1625 - -3992. Let f = m - 1576. Let n = -724.1 + f. Round n to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by 2.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7833955*a*y**3 + 33*a*y**2 - 21*a*y + 78*a - 40*y**2 + 2*y - 1 wrt y?\nAnswer: -47003730*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16758*f**3\/13 + 9674*f**2\/13 - 1424*f\/13 + 8\/13.\nAnswer: -2*(7*f - 2)**2*(171*f - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:17 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 29*y - 16. Let c be r(8). Let n = -149 + c. Solve 4*o + 2*p + 2 = 0, o - n*o = 2*p - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125099 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 243674760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-6 - -1) - 4) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqog when four letters picked without replacement from {e: 2, q: 1, o: 1, t: 1, g: 1, j: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/30)\/(1\/12). Is -7 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 16) to base 15\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - -3424020?\nAnswer: 3424135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 35*x**2 - 35*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.608545?\nAnswer: 3.65127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/21)\/o)\/o*(o*o\/(o**(1\/3)*o))\/o*o*(o\/(o\/o**(12\/11)*o))\/o*o*o\/(o**1\/o) assuming o is positive.\nAnswer: o**(-34\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*((-4*(sqrt(325) + -1 + sqrt(325) + sqrt(325)) - (2*sqrt(325) - sqrt(325))*5) + (sqrt(325) - (-5 + -2 + sqrt(325))) + sqrt(325)*-1 + -5)**2.\nAnswer: -2633400 + 27000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in -0.3, 1\/3, -1\/6, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*k + n + 2464, 4*n = -3*k + 1494. What is the greatest common divisor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -577 + 689. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 1, r: 1, t: 1, l: 1}. Give prob of picking 1 r and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 713a + 3?\nAnswer: 7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168249483 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-65))\/(8\/30)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 0*w**2 + 0*w**2 + (w - 5 + 5)*(3*w + 0*w - w) - 3*w**2 + 4*w**2 + w**2 + (-9 + 7 + 15)*(2*w**2 - 3*w**2 + 0*w**2).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2081*m**2 - 6274 wrt m?\nAnswer: 4162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14589 + -14590.4868. What is n rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -411048, -411055, -411064, -411075, -411088, -411103, -411120?\n\"Answer: -m**2 - 4*m - 411043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -4\/7 (c) 5 (d) -6 (e) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (9 + ((-45)\/4 - 98\/(-392)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose 2*z = 4*z. Suppose -2*j - 3*m = -63, -t*j - m + 6 + 55 = z. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-225) - 8449\/(-9). Suppose -5*a = -2*l - k, 4*a - 195 = 3*a - 2*l. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/((-12)\/(-16)*-1). Solve 4 = -4*m + s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/6 + 2*l + 4. Let s(p) = -7*p - p + 3*p - p. Calculate m(s(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (238\/51)\/((-2)\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451017, -1804052, -4059099, -7216152, -11275205, -16236252?\nAnswer: -22099287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 12 = 0. Let u(j) be the second derivative of j**5\/120 - j**4\/8 + 5*j**3\/6 - 2*j. Let h(l) be the second derivative of u(l). Calculate h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71368 and -0.3961562?\nAnswer: 71367.6038438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 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: Factor 3*h**3 - 4509*h**2 - 31674*h - 54360.\nAnswer: 3*(h - 1510)*(h + 3)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 665*s + 1306. Let r be l(-2). Let q = 7.2 + -0.2. Which is the nearest to r? (a) 4 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41 - 4*i**4 - i**4 + 0*i**3 - 31 + i**3 wrt i?\nAnswer: -20*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/m**(-3))**(-45) assuming m is positive.\nAnswer: m**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 6. Suppose -f - 26 = m. Let p = 67 + f. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 + 1745132*s\/3 - 761371424356.\nAnswer: -(s - 2617698)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49649*u = -49643*u - 48 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -35*i**2 + 319*i + 1772. Give t(-6).\nAnswer: -1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z - 10, z = 3*t - 155. Let q be (-1 - 4)*40\/t. Let n be (-1)\/q - (-104)\/(-32). Is -1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a = -53*a + 3. Which is bigger: -2\/229 or a?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330633 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-9))\/(3\/(-45)). Suppose 4*r - 5*l = 128, 4*r - z*l - 101 = r. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/20416 and 131\/6380?\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171916 = 313*x - 202432. What is the highest common factor of 782 and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 8 = -32. What is the nearest to 0.4 in -0.4, -2\/31, c?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 5*u + 130 = 0, 5*d = -5*u + 185. Calculate the remainder when 122 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2900 and 109852?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 33*p**2 - p - 7. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 493*x. Let c(z) = 11*z**2. Calculate c(j(g)).\nAnswer: 2673539*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 823*l - 827*l. Suppose -2*g - l*h + 45 = 3*g, -h + 5 = 0. Solve -g*y + v = -15, -2*y = -3*y + 4*v - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101013 and 294.\nAnswer: 9899274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88 - 245 + 13153*t**2 + 83 - 12875*t + 74 wrt t.\nAnswer: 26306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 8*a**2 + 7*a - 9. Let h be s(7). Suppose 9 - 3 = 3*r. Suppose 16 = -2*z - r. Do z and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -4) + 130 + -93. Solve -54 + m = -4*b + 4*d, 12 = 4*b + d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14678507?\nAnswer: 19, 277, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 148\/3 (c) -4 (d) 3\/4 (e) 4 (f) 11 (g) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**2 - 2965*o - 7475.\nAnswer: 5*(o - 299)*(2*o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -167*w**5\/20 - 175*w**4\/12 - 214*w + 100. Let v(j) be the first derivative of f(j). Find the third derivative of v(l) wrt l.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027279046 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -22. Let k be (10\/m - -2) + (-633)\/12. Let h be (-122)\/(-8) - (-13)\/k. Solve 8*o = 3*o + 5*z + h, -6 = -2*o - 2*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -67 (c) 1\/12 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4) + (-2)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ixjixijixxj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6573 and 10331817?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 83*t + 1477. What is x(23)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 141 - 21*y**3 - 75.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22520 + 22689. What is the remainder when 632 is divided by f?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -0.1 (c) -1170 (d) -0.5 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 0*t + 2*t + (t + 2*t - 5*t)*(2 + 0 - 1) + 194*t - 168*t + 245*t in the form b*t + r and give b.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -6 - -6 - (-2 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62838194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13)*j\/(j**(-17)*j*j))**(7\/2))**(-1) assuming j is positive.\nAnswer: j**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 314 - 99. Let t = s + -215.3. What is the third biggest value in t, 3\/4, 1, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 3 - 6 + 0 - 11*a**3 - 24*a**3.\nAnswer: -35*a**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) -1 (c) -0.3 (d) -13\/8 (e) -0.1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*t**3*v - 2918*r**2*t**3 + 484*r*t**3*v + r*t**2*v + 23*t**3*v wrt r?\nAnswer: -2*t**3*v - 5836*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 26, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -576*v + 577*v - 2*v**2 + 34 + 2 in the form j*v**2 + r + c*v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -44 + 8 + -2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 62 = -3*f, -5*b + 3*f = -b + 88. Let j = -21 - b. Suppose 5*h - 6 = 2*l, -5*l + 4*h + 0*h = -2. Solve 0 = -j*t + l*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 407? (a) 0.5 (b) 16 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**6\/75 + 3*f**5\/50 - 937*f. Find m such that k(m) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19\/((-39292)\/(-423)))\/((-3)\/(-8)). What is a in 0 - 6\/11*a**2 + x*a**4 + 18\/11*a**3 - 12\/11*a - 6\/11*a**5 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 - 2f?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 49 + (80 - 106).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -27*1 + 4 + 0. Let k = -8 + g. Let a = k - -33. What is the smallest common multiple of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -403\nAnswer: -40.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3463917 is divided by 6298.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p - 1. Let g be w(4). Let t = g - 13. Suppose -q + t = q. Solve -q*x + 10*v = 5*v - 3, -4*v - 28 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353473693.\nAnswer: 11, 13, 860441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Is o > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 32 = 0. Suppose 17*t = 19*t - 16. What is the highest common divisor of t and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-2)\/(-4) + 2. Let b = 7 - r. Suppose 43 = b*c + 13. Calculate the least common multiple of c and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*i = -241, 0 = -5*v + 3*i + i - 560. Is 13 a factor of (2 - 1)*(-4)\/(-1) - v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 - 28*o**2\/5 - 24*o - 144\/5 = 0. What is o?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9865 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z - 30. Let s be x(-4). Let v be 22\/(-55)*-25*s. Solve -f = 3*q - 15, -4*f = 4*q - 0 - v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*h - h + 46, -3*n - 5*h = 98. Let a = n - -76. Let z = a - 25. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 - 2*r**2 - r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - -10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.51533 rounded to two dps?\nAnswer: -49.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239992 minus -0.0869?\nAnswer: 1239992.0869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.09906681 rounded to two dps?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/(y*y**(2\/3)))**(-18)*(y\/(y*y*y**1*y*y))**(-8\/3)*y**(1\/2)*y**(1\/5)\/y assuming y is positive.\nAnswer: y**(1481\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 11*c**2 + 14*c - 1. Suppose -13 - 11 = -2*i. Determine m(i).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 + 350 = 3*v. Let i = 487 - v. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8286.668 milligrams in kilograms?\nAnswer: 0.008286668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -5 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 53\/4 of a week?\nAnswer: 2226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 11 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*((sqrt(605) - ((4*(sqrt(605) - (1 + sqrt(605))) - sqrt(605))**2 + sqrt(605)) - sqrt(605)) + (sqrt(80) + (0 + sqrt(80))**2)*4).\nAnswer: 1328*sqrt(5) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**8\/3360 - q**5\/120 + q**4\/8 - q**2. Let l(a) be the second derivative of b(a). Differentiate l(v) with respect to v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 388680 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18)\/t**7)\/(t**19\/t*t**(-3\/4)) assuming t is positive.\nAnswer: t**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662\/(-102) + (-17860)\/(-2679).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:21 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3142890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 166 = -154. Let q(k) = k + 8*k + k + 72 + 6*k. Let m be q(-4). Calculate the highest common divisor of t and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2303918282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and -97\/28383690.\nAnswer: 28383690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*q**2\/4 - 165599*q + 559653649 = 0. Calculate q.\nAnswer: 47314\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227 + 233. Which is the third smallest value? (a) h (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2. Let w be k(5). Suppose 2*b = -l - 0*b + w, 0 = b - 2. Suppose -l = 3*o - 139. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-48958\nAnswer: 14687.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -44465\nAnswer: -13339.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*l**3 - 56*l**3 - 57*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v + 7 = -m, 0 = 4*m + 2*v + 28. Suppose 21 - 65 = 2*d + 4*k, -50 = 2*d + 2*k. Is ((-67)\/(-4))\/(m\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 6) to base 7\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 26 = 23*s + 38*s - 57*s, 0 = 4*h - 5*s + 13 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/3)\/((-2)\/(-30)). Suppose 0*g - g = -2. Let h be (2 - c) + (g - 0). Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 255677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**3\/3 + 10. Let u(s) be the second derivative of s**4\/4 + 271*s. Give u(w(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 2786*x - 16752.\nAnswer: (x - 6)*(x + 2792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26083.1904 take away 46?\nAnswer: -26129.1904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2415)\/207 + 1 + 10 + (-48)\/(-63).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3115\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43322830\/113 or 383387?\nAnswer: 43322830\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/100 + 7*f**4\/60 + 8*f**3\/15 + 6*f**2\/5 - 6*f. Determine c, given that m(c) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-18) + (-3 - -3). Let r = 320.94 - 321.24. Which is the nearest to 0? (a) r (b) 2\/13 (c) m (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7977 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3 + (-3027)\/(-7) + (-6)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 18*y + 81. Give r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1232466, 1232467, 1232468?\nAnswer: 1232469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2520 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 take away -2?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 519831997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from ehyhhphpssehhhh?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/21)\/(-1 + -1)*-3. Let q(v) = v**h + 16 - 38*v + 23*v + 23*v. Let t be q(-6). Solve -4*l = -4*u - 24, 0 = -l - t*u - 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1394 and 19076193?\nAnswer: 38152386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 194, 329, 484, 665, 878, 1129?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5316.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -142, -1\/6, -224\/13?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 14*o**2 - 88*o - 21. Determine r(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1160.000001018 + -1160. What is m rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180105*f**2 - f + 2485746 with respect to f.\nAnswer: 360210*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + 1 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 less than or equal to 5095\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (3 - (3 - (4 + 8))) - 12\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3021402 - -42?\nAnswer: 3021444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 + 184264*l\/3 - 153193248.\nAnswer: 4*(l - 2372)*(l + 48438)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11dab (base 14) to base 9\nAnswer: 66142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - b)*(3*b - 16*b + 4*b).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 249*s**2 + 2664*s - 10944. Give x(238).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -601 + 598. Sort b, -17, 5, 4 in increasing order.\nAnswer: -17, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -4369\nAnswer: -121\/4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1069, -3, -2\/15, 0.1, 1.\nAnswer: -1069, -3, -0.5, -2\/15, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + j**2 - j**2 + 5*j**2 + 2*j**2 + 10*j**2 + (3*j - 2*j + 0*j)*(-2*j + 3 - 3).\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 239500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = -261. Let c be 346\/18 - (5 + j\/18). What is the nearest to 0 in -5, c, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 465411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12747, 2, -5 in descending order.\nAnswer: 12747, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.057 + -0.648. What is x rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 31 = 4*m, -m = -4*s - 0*s + 8. Suppose 3*j - m = j - 4*n, j = -3*n. List the prime factors of ((-88)\/j)\/((-10)\/15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + w**2 - w - 1. Let g be q(-1). List the prime factors of 5934\/92*(7 + g).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let j = 173 + -182. Let r(u) = 6*u. Let p(w) = j*k(w) + 2*r(w). Let h(s) = 3*s**2. Give p(h(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 - 6*s + 5. Let b be (-4 + 22)\/(9\/(-24)*-4). Suppose -b*q + 8*q + 40 = 0. Calculate the smallest common multiple of g(-5) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s + 1. Let f(l) = -2*l**2. Calculate k(f(q)).\nAnswer: -16*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 + 2*m. Let r(a) = 145*a**2 + 25*a. Let g(i) = -50*d(i) + 4*r(i). Let x(p) = p**2. What is x(g(u))?\nAnswer: 400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -630 - -630.411. Round x to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-13)\/(k*((k*k**33)\/k)\/k))**(-4\/15))**(6\/11))**47 assuming k is positive.\nAnswer: k**(17296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*b + 45*b + 26. Solve -15 + b = -13*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*f + (-1 + 2 - 2)*(2 + f - 2))*(6 + 2 - 1).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.094 (b) 17 (c) -1\/107 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 7*g - 9. Determine q(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -56*y - 3. Let j be f(-2). Suppose 3*k = j + 116. Calculate the greatest common divisor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1301.57 to the nearest 10.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/5 - 1892*w**3\/5 - 461266*w**2\/5 - 12768688*w\/5 + 27397608\/5 = 0. Calculate w.\nAnswer: -543, -371, -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-80)*(-1000)\/160?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = 5*h - 60, 0 = 5*h - 3*x - 66. Suppose h = -5*a + 80. Solve 0*f = -3*g - 2*f - a, 4*g - 4*f - 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.67 + -0.33. Is k at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13761873 or 13761872?\nAnswer: 13761873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (sqrt(112) - (sqrt(112) - -4*-2*sqrt(112))) - sqrt(112))\/sqrt(4))\/((sqrt(96)\/sqrt(2)*6)\/sqrt(12)))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 433\/1314 - 20\/73. Let f(c) be the first derivative of -r*c**4 + 2 + 2\/9*c + 2\/9*c**3 - 1\/3*c**2. Solve f(t) = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 7768486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6634 - (4 + (1 - 8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*313.\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37106953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 28, 71, 142, 247, 392?\n\"Answer: n**3 + 5*n**2 - n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 26572.\nAnswer: 25\/26572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 5, q: 4, d: 4}. Give prob of sequence dx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/3 (b) -14 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in ninety-eight fifths of a millimeter?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)\/p)\/(p\/p**7)*(p**(-1)\/p*p*p)**27)\/((p\/(p**(2\/5)*p))**(7\/5)\/(p**6*(p**3*p)\/p)) assuming p is positive.\nAnswer: p**(189\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 386857845?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 j when four letters picked without replacement from {j: 2, a: 18}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(-4 + 10). Suppose -k*a - 25 = -8*a. Suppose u - 2 = -a*j, -10 + 4 = -3*u - 3*j. Solve g + 20 = 7*i - u*i, -4*i - 4*g + 40 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(-15*y + 6*y + 12*y - 1) in the form c*y + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p - 4*q - 11 = 0, 2*p = 3*q + 9. Does 8 divide (-3 + -9)*2\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23569, 23556, 23529, 23482, 23409, 23304?\nAnswer: 23161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 3. What is b(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1496)\/(-33) - -33) + 5\/3)*(-65)\/(-130)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6 = -5*g, 0 = 2*g + 3*v + 5 + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -8*i**3\/3 - i**2\/2 - 1. Let g be (-9 - 2)\/(8\/40). Let v be (-6)\/10 + (-88)\/g. Determine w(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c + 37 - 317. Suppose c*i - 51 = -3*s + 25*i, s = -4*i + 26. Solve s*k - 13*k = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*v - 21 = 0, 0 = 5*b - 4*b + 5*v - 24. Calculate the smallest common multiple of 28 and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12 - 33*f + 1 - 9 + 39*f. Let m(a) = -2*a**2. Calculate m(j(o)).\nAnswer: -72*o**2 + 480*o - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:33 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2970 = -4*b, 2*b = 6*b - 3*r - 2965. Suppose -5*c = -43 - b. Suppose -f + 43 = 2*d + d, 3*f + 2*d - c = 0. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -1. Let h(d) = -n*d - 10*d**3 - 4*d**2 - 13*d**2 - 4*d**2. Let i(x) = 2*x**3 + 4*x**2 + 2*x. What is -2*h(v) - 11*i(v)?\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y - 12*y + 40*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 61. Suppose r = p + 34. Let l = -17 - p. Solve l = -5*x - 5*j, 2*x + 4*j - 11 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + 2221?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 4. Let j be m(10). Solve 0*v + 2*f = 2*v - j, -5*f = 2*v + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.505 to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44699 minus -0.76154?\nAnswer: 44699.76154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336267682 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 133\/6 (b) -9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/21)\/((-106)\/14 - -7)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25822762741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**6\/300 + f**5\/50 + f**4\/15 - 20*f**2. Factor x(k).\nAnswer: -2*k*(k - 4)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -479 (base 13) to base 3.\nAnswer: -1001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 9*z - 289 + 289.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*r + 6 + 12 = 0, r + 7 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 13. Suppose 0 = -l*s + 188 + 12. Suppose 2*p - s = -o, 2*o - 2*p - 26 = 36. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -1. Let z = c - -5. Find the first derivative of 1 - i**2 - 2*i**2 - 3*i**z wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*m + 34 + 54 = 0, -4*t = 3*m - 159. Let a = t - 23. Solve -5*c - a = 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201661135.\nAnswer: 5, 13, 317, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2320872, -5, -0.1 in decreasing order.\nAnswer: 2320872, 3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*m = -44 + 56, 0 = -3*j - 5*m - 15. Solve j = -37*f + 38*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1\/((-6)\/(-3))). Suppose 0 = b - 28 + w. Factor -58*v + b*v - 2*v**2 + 26*v.\nAnswer: -2*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3. Let g(o) = -1. Let r(a) = -7*g(a) - 2*n(a). Let i(w) be the second derivative of -w**3\/6 + 2*w. What is i(f) + r(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72062.919 milliseconds in hours?\nAnswer: 0.0200174775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.006, 4, 1\/4, 4\/3.\nAnswer: 0.006, 1\/4, 0.4, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7700591\/168 - 45836. Find the common denominator of -101\/224 and h.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110111011101001 (base 2) to base 7.\nAnswer: -540563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18458 divided by 453.\nAnswer: 18458\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2436 + 3904 = -1268*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -111 (c) -199\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*(-45)\/(-72))\/((-2)\/(-4)). Suppose -2*d + 27 = j. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(2*h + 3*h - 3*h) + 2*h - 1 + 1 + 3*h + 0*h - 5*h - h + 2*h - 2*h + 14*h - 39*h - 43*h + (3 + 1 + 0)*(-2*h + 3*h - 2*h) + 3*h - 2*h + h.\nAnswer: -67*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22728?\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -58*b + 51*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, 1\/10, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 1\/10, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Suppose 3*j + b*x - 106 = j, -4*j + 212 = -x. Suppose -k - j = -3*h, -2*h + 0*k + 2*k = -38. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:09 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -40.2.\nAnswer: -4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1291, -2251, -3763, -5827?\nAnswer: -8443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 944 and 5782?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 77*g - 8. Let h(t) = -2. What is -f(y) + 3*h(y)?\nAnswer: -77*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -4*p**6\/15 + 23*p**5\/10 + 391*p**4\/12 + 57*p. Find the third derivative of v(z) wrt z.\nAnswer: -192*z + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -536 + 538. Let y be (x\/(-4))\/((-10)\/(-60))*-1. Put y, 0, 22 in decreasing order.\nAnswer: 22, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 13, -107, -0.0582 in decreasing order.\nAnswer: 13, -0.0582, -0.5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -9, -q - i - 339 = -4*q. What is the remainder when 139 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 58*n - 8148. Determine h(141).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 3522565.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t\/(t\/(t**(-1)\/t))))\/((t**(-3\/8)*t)\/t)**30 assuming t is positive.\nAnswer: t**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -296, -300, -306, -314?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 19*v + 75. Suppose 5*d = 4*p + 101, -60*d + 2*p - 9 = -61*d. Determine y(d).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-315)\/100 + 3 - (-1)\/(-4). Let j = -2.9 - 0.1. What is the closest to -0.1 in x, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257102 divided by -51\nAnswer: 257102\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 136 = 27*z. Find the second derivative of -58*l**2 + 1 - 244*l**3 - 245*l**3 - z*l + 492*l**3 wrt l.\nAnswer: 18*l - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*n = 551*n + 8, -3*g - 2*n = -496. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 204, 255, 348, 495, 708, 999, 1380?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 1, a: 3, u: 9, w: 2}. Give prob of sequence uii.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2662*r**6\/9 - 671792*r**5\/5 - 15939737*r**4 - 103933400*r**3\/9 - 3145464*r**2 - 381024*r - 5728. Let n(w) = 0. Calculate w.\nAnswer: -189, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:44 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-7 + 16 - 12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(-1 - 2). Let n(v) = -v + 4. Let y(x) = x - 5. Let t(r) = 3*n(r) + 2*y(r). Let k be t(j). Solve -2*u = u + s + 11, 3*s + 6 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -s - 4, 0 = 4*s + 2*p - 70 + 16. What is the derivative of 11 + 17 + 0 + s*o**2 wrt o?\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8 and -7\/8166.\nAnswer: 32664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 10, 5*z - 4 = -5*t + 2*z. Let f(i) = 6*i**3 - i**t + 1 - i - 5 + 5. Give f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 144 = 5*m - 145, m + 0*m = 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-7)\/(-2))\/(-7)*-3040 is divided by 302.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16922*i - 8470*i + 46641*i + 3647*i)*(-i**2 - i**2 + 4*i**2).\nAnswer: 49792*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 8*p - 36. Calculate the common denominator of -3 + p + 21\/6 and -77\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*k + 12. Factor -8 + 4*z + 2*z**2 + k + 0 + 0.\nAnswer: 2*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25930 + 28424. What is the lowest common multiple of 1376 and y?\nAnswer: 39904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - q - 5*q)*(5*q**2 - 6*q**2 - 6*q**2)*(-5 - 5*q - 7 + 11)*(-3 - 1 + 1) as w*q**2 + r*q**4 + f + i*q + m*q**3 and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/540 - 31*y**5\/270 - 881*y**2. Factor g(s).\nAnswer: 2*s**2*(s - 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2363.4 to the nearest ten.\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -885822 divided by -176\nAnswer: 442911\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18704974 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 216, 344, 546, 828, 1196, 1656?\nAnswer: 2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugugkovggg. What is prob of picking 2 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50918024 to the power of 1\/2, to the nearest integer?\nAnswer: 7136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153) - ((-3*sqrt(153) - sqrt(153)) + sqrt(153))))\/(sqrt(9) - -3*sqrt(27)\/sqrt(3))*-5 + -1.\nAnswer: -15*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*g + 40. Let a = 652 + 16342. Let b be g + (a\/4)\/(12\/24). What is b rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 75795 by -2445.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 4. Suppose 3*t - 23 = -4*k, -19 = -30*k + 27*k - 4*t. Let i(y) = -2*y - 5. Give k*l(m) - 4*i(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/24 + 7*q**3\/6 + q**2\/2 + 2*q. Let f(m) be the first derivative of p(m). Let z be f(-7). Which is greater: z or -2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105226646 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/((-8)\/(-128)*(-2)\/5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - 58*g - 67*g - 9.\nAnswer: -110*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2.7, 0.3, 836\/91 in decreasing order.\nAnswer: 836\/91, 2.7, 0.3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (-4*(sqrt(228) + sqrt(228) + sqrt(228) + (sqrt(228) - (sqrt(228) + -2*sqrt(228)))))\/sqrt(12) + -4).\nAnswer: 27 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -28*n - 12. Suppose -4*g - n = -26. Suppose 3*c = -g*c + 248. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2967 and 125235?\nAnswer: 5385105","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, o: 1, b: 3, p: 2, e: 1}. What is prob of sequence opbp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3519 and 168081.\nAnswer: 197159013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(50\/44))\/(4302\/43020).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279887.\nAnswer: 13, 157, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) 2\/9 (d) -2\/9 (e) 0.2 (f) 1835.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 80.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17*i. Let x(o) = 29*o**2. Determine x(c(k)).\nAnswer: 8381*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 19. Let l(n) = -2*n**2 - 9. Give 6*d(v) + 13*l(v).\nAnswer: -2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + 228\/25. Let l = 11054067\/350 + -31583. Let m = q - l. Calculate the common denominator of m and 59\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403034.\nAnswer: 2, 201517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 132 - 496. Calculate the remainder when 22 is divided by (0 - -1)\/((-7)\/z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 + -7. Let o be (-972)\/60*(-3 + 4) + 11\/55. What is the third biggest value in o, y, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 69 - 941*g + 325*g + 324*g + 328*g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 9, 3, -6, -2\/7, 0.07, -124?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431459549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-6 - 2) + 5) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -27*x**2 - 532*x - 344. Calculate p(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29245 by -5849.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 55 + 10. Suppose -8*c + n*c = 5. Suppose 3 = 8*p - c*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j - 2. Let h(q) = -17*q + 3. Calculate -6*h(w) - 14*o(w).\nAnswer: 4*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 26*o**2 - 16*o - 113. Let f be c(12). Let t(p) = p**2 + 17*p + 16. Calculate t(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 f when four letters picked without replacement from {f: 10, s: 1, l: 3, d: 2}?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 6*a - 13. Let z be o(12). Suppose 4*l = -5*y - 50 + z, -35 = -y - 3*l. Let i = y - 16. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -20, -57, -120, -215?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -0.651 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 11\/7. Suppose 36*i = 34*i - 126. Let c = i + 379\/6. Put c, 0.5, h in decreasing order.\nAnswer: 0.5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -3, 18, -5 in decreasing order.\nAnswer: 18, 6, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 380254848.664001202 + -380254850. Let m = p + 1.336. What is m rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 2}. What is prob of sequence ub?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4981704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -147*3*(-3)\/27. Suppose 0 = -x - 3*v + d, 10 + 82 = 3*x - 2*v. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -535*k**2*t + 17*k**2 - 11*k*t + k - t + 360 wrt k?\nAnswer: -1070*t + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/3028160 and -95\/4845056.\nAnswer: 24225280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12123516, -12123507, -12123498, -12123489?\n\"Answer: 9*o - 12123525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 319*i + 1. Let m be z(2). Suppose -3*y + 4*y = m. Suppose 3*l = 240 + y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609171901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 30001?\nAnswer: -30010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 2. Let g be d(2). Suppose 0 = -16*p + 14*p - 52. Let a be 12*(p\/(-8) - (24 - 21)). Solve -z = -u - a, -4*z - 3*u + 8 = -g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*k**4 + k + 6*k**4 + 1 + 68 - 11 wrt k?\nAnswer: -88*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 9, 24, 49?\n\"Answer: 5*t**2 - 10*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222132 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -39608*i + 20002066. Calculate t(505).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -35.1 (b) 15 (c) -2 (d) 1\/4 (e) 1 (f) -3\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011001 (base 3) to base 15.\nAnswer: 22d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -74 (b) -13.9 (c) -1\/3 (d) 0 (e) 2\/83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0. Let i = o - -0.4. Let y = 0.53 - 4.53. Sort y, i, -2 in decreasing order.\nAnswer: i, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -99.9991729. Round v to five decimal places.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2. Let b be i(1). Let s be 1\/(-4) + (-7)\/4. Sort s, -5, b.\nAnswer: -5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-3)*116\/(-522)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(1008) + -3 - (-3 + sqrt(28)\/(sqrt(4)*-2) + -2))**2*-2.\nAnswer: -4379\/2 - 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2405, 43, 4 in decreasing order.\nAnswer: 2405, 43, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = 0, -22 = 4*m - 20200290*w + 20200287*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (3 - -10) - (-11 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + 1 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p**2 + 2*p + 19. What is q(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10010011101?\nAnswer: 10010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*n - 12 - 837 = 0, n = -4*b - 1713. Let x = -306 - b. What are the prime factors of x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*60*(-87)\/2784.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 10 in decreasing order.\nAnswer: 17, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 4 in decreasing order.\nAnswer: 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.058973758936 and 4.\nAnswer: 4.058973758936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 199?\nAnswer: 3\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427250333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 30. Let g = c - 31. Suppose 4*h - 27 = h. Solve 3 = -g*k - h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 130\/(-18) + (-6)\/(-27). Let r = -2 - v. Suppose 0 = r*z - 107 + 32. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1178 - 8*t - 574 - 592)*(2 + 0 + 0) - t - 2*t - 3*t.\nAnswer: -22*t + 24","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 416792 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(34\/(-4))\/1 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -22*b + 6. Let n be (5 + -7)*(2 + -1). Does 7 divide i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**2 + 1\/6*w**3 + 0 + 8*w. Let q(f) be the second derivative of f**4\/4 + 2*f. What is o(q(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 466 + -461. Suppose -z*a + 1360 = -3980. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o + 22*o - 15*o + 3*o.\nAnswer: 37*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/19348 and 41\/8.\nAnswer: 38696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 1, r: 1, y: 1, e: 2, f: 1}. What is prob of sequence rf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 72\/(-20) + 1248819\/355140. Let b = 1\/3946 + j. What is the common denominator of b and 65\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-12)*(1 - -2). Find the first derivative of 3 - f*v + 5*v + v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - -12724?\nAnswer: 126bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 77\/5 - (-6)\/10. Suppose 14*q = u*q - 66. Let b be (-3634)\/(-10) - (-4)\/(-10). Calculate the highest common factor of q and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*p**2 - 91970*p - 43946338 wrt p?\nAnswer: -170*p - 91970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:15 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -0.11, 25017?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 48. Suppose -y = 11*a - 14*a. Put a, -3, 7 in decreasing order.\nAnswer: 7, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z - 2*a, -2*z = z - 4*a - 16. Let o = -722 + 7936\/11. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-13.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0.064896370776\nAnswer: 1.935103629224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 524 + -4?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqfqfqq. Give prob of sequence ffqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 4*z - 11 = 1, -2*w - 2*z = -0*z - 5*z - 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46874342849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177177135.\nAnswer: 3, 5, 251, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26001 and 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 - -292. Suppose 149 = 4*y - t. Suppose y - 2 = 4*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 15. Suppose 0*m**2 - m**3 + m**4 - 2*m**2 + 3*m**2 - m**b = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/6 + m**3 + m**2 + 86*m. Let d(l) = 22*l**2 + 13. Let t(q) = -13*b(q) + 6*d(q). Let j(a) = -3*a - 30. Determine j(t(p)).\nAnswer: -6*p**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 112*p - 106*p + 217*p to the form f*p + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z + 35. Let a be -4 + 8 + -4 + z. Solve -2*j + a = 4*i - 3*i, 4*j = 5*i + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 75 = -0*n. Suppose -5*q + n = -0*q. Suppose -2*d + 70 = q*d. Solve 3*i - 11 = o, -5*o - 3*i = -o + d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78236, 78185, 78102, 77987, 77840, 77661?\n\"Answer: -16*l**2 - 3*l + 78255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.583223 to two decimal places.\nAnswer: 38.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2 - -5) - 0. Let r be -1 + (1 - -2)*-1. Is g less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -177*g - 175. Let u be r(-1). Solve u*q = 12*q + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 4*g**2 + 5*g + 3. Let j be d(-5). Suppose 12 = j*p - 39. Suppose 2*n - 3*c = 10, -4*n + 16 + 4 = 4*c. Solve n*r - 3 = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 11 + ((-3724)\/(-637) - (-4)\/26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2168*d + 14 - 2169*d - 10. Suppose -l + 0*q = -4*q + 9, -4*q = -2*l - 14. What is i(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.34995 and 972.3174?\nAnswer: 971.96745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 198 = -11*p. What is the remainder when 84 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8228 or 2\/113?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 = 3*a, -5*b - 4 - 3 = -4*a. Sort 4, a, -3, -0.4 in decreasing order.\nAnswer: 4, a, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3846085 is divided by 383?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from ydh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 16*q + 33. Let x be y(-22). Let l = 225 - 63. Is x >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18\/35 + -164\/455. Which is the second smallest value? (a) 0.3 (b) s (c) 2\/293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -42 - (-3 + 2 + (-6 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 - 3 = 0. Let h be (3\/(-2))\/(2 + m). Is -1 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10) - 3\/30*11.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8)*(-50)\/(-25). Let p be (-1 - 12\/(-9))*3. Is d less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.78? (a) -1\/5 (b) 3 (c) 1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 5*h + 11, 2*h + 4 = 5*o - 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-21)\/9*(-675)\/(-350).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/120*(-4)\/(-18)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*s**5 - 4832007*s**4 - 10824111*s**3 + 2512563*s**2 + 10824036*s + 2319444 = 0. What is s?\nAnswer: -2, -1, -6\/25, 1, 64429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r + 2. Determine f(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*i + 23*i + 2 - 3 wrt i?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (0 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 429834*c - 3438608.\nAnswer: -(c - 429826)*(c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 - 5 - 4*z**2 + z**3 to o*z**3 + p*z**2 + r*z + c and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 3*s**4 + 1 - s**2 - 2 + 2*s**3 to the form n*s + l*s**2 + a*s**3 + q + z*s**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543387?\nAnswer: 181, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5982 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52336581*d**3 - 35278622*d**2 wrt d?\nAnswer: 314019486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94741564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1048875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44 * -53.01\nAnswer: 2332.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 52*h - 3327. Give c(64).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*w - k - 139, 4*w = -2*k - 142. Let a = 189\/5 + w. Factor 2\/5 - a*i + 2\/5*i**2.\nAnswer: 2*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {f: 2, r: 1, i: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219\/7 - -31. Let p be -2*2\/20*1. What is the closest to 1 in l, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30789465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 = 5. Let u = 3 - d. Find t, given that -5*t**2 + 12 - 27*t**u + 20*t**2 + 19*t**3 + 17*t**3 - 36*t = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-357)\/28)\/(((-144)\/448)\/(66\/(-77)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37909, 75955, 114001?\n\"Answer: 38046*k - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 66336 - 13682 - 52660.\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + 2)**2 + (sqrt(2448) - (4*sqrt(2448) + -1))**2.\nAnswer: -48*sqrt(17) + 24482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45705047 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/2 - 30*w**4 - 2001*w**3\/2 - 969*w**2 = 0 for w.\nAnswer: -17, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1900)*3*-2*-4)*-5)**2.\nAnswer: 60000*sqrt(19) + 27360625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74830*j**2 + 73879*j wrt j?\nAnswer: 149660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:30 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12441*k - 510642. Give v(41).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 2 - 3*z + 1 + 31543*z**2.\nAnswer: 31543*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1252\/7455?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10203103 (base 6) in base 13?\nAnswer: -a4a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1486, 3242, 5274, 7582, 10166?\n\"Answer: 138*y**2 + 1342*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 0.2, -14, 2\/11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 70256*a - 140528.\nAnswer: 4*(a - 17566)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(2\/5))**(-10\/3))**26)**(-46))**(8\/3) assuming d is positive.\nAnswer: d**(38272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 20400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10)*(-715)\/286)\/(70\/(-24))?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1388 in -1, -0.05, 0.3, 0, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 148*c**2 + 410*c + 3776. Calculate x(145).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/261*(-9)\/81*(-2)\/(-2).\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52499 - 26238 - 26261 + 3*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + -0.01. Let r = -2305\/84 + 195\/7. Let j = -1\/6 + r. What is the nearest to -2\/7 in -1, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 25. Let c = 5.744 - -19.886. Let t = j + c. What is t rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 3*q**2 - q + 3. Let d(k) = 3*k**3 - 5*k**2 + 2*k - 5. Let i(h) = -3*d(h) - 5*f(h). Determine i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**3))*y)**(7\/4))**20 assuming y is positive.\nAnswer: y**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let c(h) = -33*h**2. Let t be 154\/(-7)*(1 - -1). Let u(b) = t*s(b) + c(b). Let o(g) = -g**2. What is o(u(x))?\nAnswer: -121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*g + 33 = 7, -q + 7 = -g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 145*a**4\/6 - 53*a**3\/2 + 17*a**2 + 2. Differentiate t(x) wrt x.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261971117*g**2 - 2*g - 111674834 wrt g.\nAnswer: -523942234*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1567 - 1568. Which is the biggest value? (a) h (b) -94 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-720)\/42*5621\/4015.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from ceeyhacyey.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5508141?\nAnswer: 3, 1836047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2417*h. Let z(r) = -520*r. Give z(x(l)).\nAnswer: -1256840*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 207?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-10) - -1)*-110. Suppose -h*n - 124 = -696. Let p(g) = -g**2 + 13*g + 16. Give p(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2501809*d - 1628580 wrt d.\nAnswer: -2501809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-179943)\/12870 - 2) + 4\/10. Let z = g + 584\/33. Find the common denominator of z and -73\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 35. Let t = -18 - -28. Let p(g) = 3*g - 10*g - g**3 - t*g**2 + 2*g**2 - 8 - 2*g. Calculate p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057 is divided by 81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*z + 32. Is 17 a factor of (171 - 1)*(-4)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496767530?\nAnswer: 2, 5, 23, 2503, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28348631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -29, -2, 5, -485 in descending order.\nAnswer: 5, 3, -2, -11, -29, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 588 divide 44953260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 85. Let v(i) = -5*i + 15. Let h(l) = -1. Calculate j*h(t) - v(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 4. Give a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 829.9065km?\nAnswer: 829906.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57483*y**2 - y**3 - 28740*y**2 - 28743*y**2 + 13*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 - c - 1. Let q be j(-1). Let p(h) = 3*h - q*h - h + h. Let s be p(0). Solve 5*z - 4*x - 17 = s, z + x = -0*x - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4254490933?\nAnswer: 7, 11, 31, 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.71 - 0.71. Sort 0.1, 2, 2\/7, i in ascending order.\nAnswer: 0.1, 2\/7, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2055, 4230, 6405, 8580?\n\"Answer: 2175*h - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11. Let t = 1 + -1. Let h = t - 0.3. What is the second smallest value in h, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuvuuvuvuuvuv. What is prob of sequence vuvu?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3040 and 44.\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - (10 - 24)) + -8 - 10) + 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -2*w**3 - 2*w**2 + 2925*w. Determine i(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716035.\nAnswer: 5, 71, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3184 and 40198?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m + 9. Suppose 0 = -3*c - 35 + 8. Let s be w(c). Suppose s*t + t = 24. Solve 3*g = 2*x - 5, -5*g = 5*x - g - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 13 = 2*w, 5*w + 1 + 16 = -4*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 39 = -5*i, 4*d + 30 = 2*d + 2*i. Let w = d + 19. Solve -2*o + w = -u - 0, 5*o - 5*u - 10 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18 and 19\/190255.\nAnswer: 190255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 5:45 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqu when three letters picked without replacement from {k: 1, x: 3, u: 1, m: 4, l: 1, q: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28587583*y**2 - 110298692*y?\nAnswer: 57175166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4861334 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(sqrt(363) - 2*sqrt(363)) + 5.\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -17*v. Let u(a) = 5*a**2 + 14. Let i(m) = -11*m**2 - 25. Let d(p) = 3*i(p) + 5*u(p). Calculate d(f(y)).\nAnswer: -2312*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 > -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -6 - 0\/(-5). Suppose -5*o - 20 = 3*s - 0*o, -5*s + p*o + 16 = 0. Suppose -d + s*d = -763. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*i - 202*i - 9 = 0. Solve i*g = 14 - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36179\/(-33) + 1)\/(-1*6\/261).\nAnswer: 29, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2365\/2)\/5 + 4\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 = -3*g - 2*g, -2*g + 8 = -3*s. What is the third derivative of 0 + 6*b**2 - 2*b**2 + 6*b**3 + s wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 2*c + 1. Let m be h(1). Suppose -m*s - 3*o - 479 = -8*s, -5*s = 3*o - 461. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let j = s - 7. Let c(x) = 4*x**2 - 20*x - 2*x**2 - 3*x**2 + 15*x - 5. What is c(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1)\/(4\/(-72)). Suppose 0 = 5*s - 2*u - 14, 3*u = -0*s + 4*s - 14. Factor 2*p**4 + s*p**2 - w + 36 - 4*p**3.\nAnswer: 2*p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/x**(-8)*x)*x)*x**31)\/((x**(-3)*x)\/(x\/(x*x\/(x*x\/(x*x**4))))) assuming x is positive.\nAnswer: x**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158690737 and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 18*f + 130. Which is the third biggest value? (a) 3 (b) f (c) 0.24 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let c = 0.097 + -6.197. Let p = -6 - c. What is the closest to p in 1, b, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - -5. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7067*c**2*r**3 - 125*c*r**2 + 32*c*r - 2*r**3 wrt c.\nAnswer: -14134*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1819 = 4*v + 1225, -3*t + 2*v = -4582. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 629?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 2*l**2 + 3*l**2)*(-7*l**3 + 791 - 3*l**2 - 791) + (2*l**3 + l - l)*(-5*l**2 + l**2 + 0*l**2) - 2*l**5 - 2*l**5 + 7*l**5.\nAnswer: 2*l**5 + 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268736 = -2251*r + 2235*r. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 5 - 5 + 0. Let r(j) = -34*j**2. Determine t(r(k)).\nAnswer: -68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 11:21 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8083 and -1.\nAnswer: -8083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-259)\/74*(-16)\/(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 248 - 58 = 0. Suppose 0 = -2*k - k + a. What is x in -2\/7*x**5 - 2\/7*x - 4\/7*x**2 + 4\/7*x**k + 2\/7 + 2\/7*x**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1161 - -1165. Suppose -5*n = -n. Solve 2*l - k + 12 = n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.14931?\nAnswer: 0.059724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/((6 - 14)\/(-40)*15\/(-417)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5345*t**4\/4 + 1620*t**2 - 6173. Find the second derivative of h(q) wrt q.\nAnswer: 32070*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/984 and 47\/232224.\nAnswer: 232224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -1\/3 (c) 0.8 (d) -29 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 143 = -3*a + 5*z, -21 = -a - 5*z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(2 - 3 + 5)*((-3 - 2*r**2 + 3)*(r**3 + 0*r**3 - 2*r**3) + 3*r**5 - 42*r**5 - 16*r**5) - 3*r**5 - 3 + 3.\nAnswer: 209*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6\/11*(-7)\/21. Which is the closest to 2\/3? (a) x (b) 4 (c) -2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 2, 241, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-7 - (-3 + -1)). Suppose q + 4 = -6*m. Let d be ((-6)\/(-21))\/(m\/(-7)). Solve -d*a + 2 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as 133559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 44*y**3 - 7*y**3 + y**2 + 21*y**3 + 25 + 19*y**3 to the form n*y**2 + c*y**3 + k + t*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1402 + -1398. Let r(n) be the first derivative of -c + 5\/2*n**2 - 5\/3*n**3 + 0*n. Factor r(s).\nAnswer: -5*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -3.02. Let s = 302 + -340. Let p = s + 38. Which is the closest to p? (a) 2\/5 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177 - -176.15. Let x = 0.84812 + d. Round x to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*j + 81*j + 343 = 0. Solve -a + 53 = j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 8*q**2 - 9*q - 27. Let j be n(4). What is the closest to 1 in -0.3, j, -4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {p: 13, y: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 848544 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2887 + 11487\/4. Calculate the common denominator of x and -42\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -84*l + 21*l**3 - 32*l**3 + 7*l**3 + 72 + 32*l**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (16 - (-4 - -12)) + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:08 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 163*n - 11. Let y(q) = 163*q - 9. Let c(d) = -6*i(d) + 5*y(d). Let a be c(-5). Suppose -6*f = 5*f - a. What is the remainder when f is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34897*g**3 - 36 + 27 + 9.\nAnswer: -34897*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.111 + -0.142. Let y = -0.0310316 - l. What is y rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3990)\/(-2793))\/((-8)\/140).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1833*t - 915*t - 913*t + 17.\nAnswer: 5*t + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156368 is divided by 2696.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7406 - 4?\nAnswer: 7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 12. Let v be (-22)\/3*228\/j. Let w be 6\/21 - (-262)\/14. Calculate the greatest common factor of v and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459) - sqrt(51))*5)\/(sqrt(3) + (sqrt(3) - (sqrt(30)*2)\/sqrt(10) - sqrt(3))).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6\/17)*v)**(1\/17)*(v\/(v*v**(-14)))\/v*v*v*v*v\/(v\/((v*v**(-1\/59))\/v))*v assuming v is positive.\nAnswer: v**(291938\/17051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-12\/7))\/(f**(20\/3)\/f))\/(f\/(f*f**(-16))*f*f**(-11\/3)*f) assuming f is positive.\nAnswer: f**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2905, 15813, 50859, 119113, 231645, 399525?\nAnswer: 633823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -497 - -548. Let z(k) = 4*k. Let w be z(-6). Let d = h + w. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -47 - -5) + -23.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/17)*d)*d*d**15)**13 assuming d is positive.\nAnswer: d**(3510\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 11:37 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099927 is divided by 3770?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7334361 a multiple of 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003584 rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 12 + 0*h**4 + 23\/5*h**5 + 0*h**3 + 0*h**2 - 8*h. Find the first derivative of b(k) wrt k.\nAnswer: 92*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 2839, 6632, 11945, 18778, 27131?\nAnswer: 37004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10627 + -10630.5427. Let s = -3.53 - b. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 23, 18, 3, -22, -57, -102?\n\"Answer: -5*o**2 + 20*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 smaller than 769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 20350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let r(s) be the first derivative of -59*s**2\/2 - 65. Determine p(r(g)).\nAnswer: -59*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(217\/93 + (-42825)\/18354). What is a rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*o - o. Let f be o\/(-10) + 6\/(-15). Solve -2*l - f*l - 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 g when four letters picked without replacement from {g: 12, p: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97498, 97881, 98266, 98653?\nAnswer: 99042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58 - -b32c?\nAnswer: b387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 534283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 195589\/14 - 13979. Calculate the common denominator of -55\/542 and k.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32427585?\nAnswer: 3, 5, 17, 19, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797253147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-155)\/(-62) - 5\/(-2). Solve -u + g = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 790 and 30.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334210.\nAnswer: 2, 5, 19, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*o**2*s + 3*k*o**2 + 2*k*s + 19*o**2*s + 4*o**2 - 2*o*s wrt k?\nAnswer: -2*o**2*s + 3*o**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3360434107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.611 and 0.\nAnswer: -13.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llqqlsrl. Give prob of sequence qrsl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*h**3 - 89*a**2*h**2 - 61*a**2 - 236*a*h**3 + 8*h**3 wrt h?\nAnswer: -18*a**2 - 1416*a + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f + 20. Let n be o(6). Let m be 3 + -2 - (1 + -5). Suppose 3*b - n = 4*u, 2 = -3*b + 5*b + m*u. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1810 and 2172.\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2354)\/(-24))\/107*(-8)\/132?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3252182?\nAnswer: 1\/3252182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/5450 and 9\/9250.\nAnswer: 1008250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 193470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p + 7*p + 3*p)*(3*p - 5*p + 3*p) + 139 - 163*p**2 - 286 + 147 to the form k + h*p**2 + c*p and give h.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 + -0.4. Let s = -13.2 - -13.2. Which is the second smallest value? (a) s (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.01 - 9. Let n = g + 0.29. Suppose -5*k + 3*k = -i + 1, -3*i - 13 = 2*k. Which is the second biggest value? (a) k (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyh when three letters picked without replacement from yookkchyykkkkkhkyy.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - l + 128466 = 0, 3*l + 122014 = 3*m + 44938. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 17*w**3 + 7*w**2 + 20*w**3 + 3 - w - 39*w**3. Let l be t(3). Solve -2*r + 2 + 10 = -4*c, 2*r - 3*c = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 - 163 = 3*f - 3*q, -q = 5*f + 468. Which is greater: f or -123?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -x + 10. Suppose 0*p + p = x. Let u be 12 - 7 - p\/(-1). Solve 5*s = 4*z - 8, -u*s + z = -s + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 23 - 12 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-33)*10)\/((-60)\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2186 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 339 and 3399153.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662) + sqrt(2662) + sqrt(2662)*1 + (sqrt(22) - (sqrt(110)\/sqrt(5)*3 + sqrt(22))))\/((sqrt(1584) - -1*sqrt(1584))*2).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14943295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 488*w + 978. Let b be y(-2). Let d(u) be the third derivative of 0 + 14*u**b - 1\/6*u**3 - 1\/6*u**4 + 0*u. Differentiate d(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 28, 27, 32, 49, 84, 143?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181 + 186. Suppose z + 0*z - 4*w - 12 = 0, 4 = -w. What is the closest to 0.4 in 2, z, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = 19*m + 155 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3)\/(2 + (-224)\/108). Let r = -77 - w. Suppose 485 = 5*h - r*h - 2*d, 5*h = -4*d + 2383. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-122)\/(-4270))\/(7\/(-140)*-18)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let j(b) be the first derivative of 8*b**3 - 12. Calculate j(g(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q + 55. Let i be g(5). Let y be (i*5\/10)\/(-3). Suppose 0 = -5*d - 3*v + 1, 3 + y = d + 2*v. Are 3\/100 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113.3*-0.202.\nAnswer: 22.8866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5298857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994*j - 79548 = 973*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 6. Let g(o) = -2*o**3 - 3*o - 2. Let t be g(-1). Give f(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 876*w**2 + 5561*w - 1.\nAnswer: 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -2. Let b = -18 - s. Let c(m) = 2*m - 2. Let a be c(2). Sort 3\/2, a, b in increasing order.\nAnswer: b, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 1. Let v = -19 - -15. Suppose -5*w + 3 = 3*i - 0*i, 0 = -2*w. Let c(o) = -o**2. Let l(u) = i*t(u) + v*c(u). Determine l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -27*x**2 + 462*x + 420. Determine t(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2759, 11, 0.3 in increasing order.\nAnswer: 0.3, 11, 2759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {s: 1, u: 1, q: 2, j: 1, t: 2, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 + 3*u**2 - 3*u**2)*(2 + u - 2) + (2 - u**3 - 2)*(-4 + 2 + 4) to y*u**2 + a*u + b*u**3 + j and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -55*w + 53*w - 17732, 44310 = 5*h - w. Suppose h - 75805 = -32*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(2 + sqrt(2)))**2.\nAnswer: 42*sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*2\/6*30. Suppose -77*s = -t*s + 81. Suppose 6*n = s - 3. Solve 4*k + 2 = 2*y + 2*k, 0 = 2*y + n*k - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.907 and 41.\nAnswer: 488.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*p - 10479 = -59*p + 641. Suppose 2*k + 3*l = 29, -3*k - 5*l + 20 = -25. What is the smallest common multiple of k and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25 = -7. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/((-4)\/642))\/((-39)\/34). Let g = s + 280. Suppose 4*u + 6*r + 4 = 2*r, 5*u + r + 1 = 0. Which is the biggest value? (a) u (b) g (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49798 - 97698. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661861 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 29 + 37. List the prime factors of (-1630)\/15*f\/4.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 13. Let v be a(6). Let j(t) = 6*t**2 + 2*t - 4. Let b be j(3). Let z be ((-8)\/50)\/(b\/(-20)). Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19821020.8 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 + 62 = 0. Suppose 44 = z + n. Let b = 16 + -10. What is the greatest common factor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -496.172 and -0.02.\nAnswer: 9.92344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3420 = 5*s, -2*s = -3*w + 118 - 1507. Let n = s - 689. Which is the closest to 0? (a) -0.2 (b) 9 (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let f(k) = 109*k - 7. What is p(f(g))?\nAnswer: 109*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -6 (c) 0 (d) -111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*t - 2*c + 20, -4*t - c - 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f - 4. Let c(x) = 51*x + 1. What is b(c(p))?\nAnswer: 510*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 - 6*x - 2. Let v(d) = 6*d**2 - 5*d - 2. Determine -3*v(n) + 2*w(n).\nAnswer: -4*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8518.693016 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17181 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 8*g - 3*g - 11, 5 = -5*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 5*c**2 + 8*c - 5. Let f be s(6). Let t = 2 - -4. Let u = f + t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 21 + 5. Let u be (-3)\/(-2)*n\/(-3). Suppose 33*r + 288 = 3*c, 1 = -5*c + 4*r + 22. Put u, c, 5, -1 in decreasing order.\nAnswer: 5, -1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.6 or -1054?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55450 (base 7) to base 16.\nAnswer: -367f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -4 + -3) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + 530*i - 1585. Determine n(103).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17145019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90755*s**3 + 3351*s**2 - 2*s - 1 wrt s.\nAnswer: 544530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/9 and -121\/20442?\nAnswer: 61326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785795501.\nAnswer: 179, 4389919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 2066596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5384 divided by -8\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:20 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 6*c - 5. Let u be v(4). Let o = 21 + u. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*v - 17, -227*k = -225*k + 4*v + 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 9*z. Suppose 4*h - 7*h = 3*p - 3, -3*p + 11 = h. Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -14. Let u(m) = m**2 - 3*m + 1. Let d be u(s). Let g(a) = 67*a**2 + a. List the prime factors of g(d).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 35. Let h be (-4)\/(s + -3 - -1). Suppose 2*n - 124 = -4*u, -h*n + 46 = 4*u - 210. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -21. Let w = -31 - c. What is the remainder when 138 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10936 is divided by 168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfjkhkkjkkkkfkf. What is prob of sequence kj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, 51, -1, 62.35?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952825 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k + 3*p + 17062, 0 = 2*k - 3*p - 34133. Let i = -375461\/22 + k. Calculate the common denominator of -9\/16 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.29 + -4.\nAnswer: 61.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(4*(3 + 2 + sqrt(1008)) + -2) + -3)**2.\nAnswer: 40800*sqrt(7) + 410425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:24 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*r**4 + 48*r**2 - 18*r**3 + 36 - 20 + 18*r**3 - 18 wrt r?\nAnswer: -7512*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 157*t - 928. Let m be n(-32). Sort 2, 38, m, -7, -1 in descending order.\nAnswer: 38, 2, m, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 - 35*z + 2. Let t be h(4). Let l(j) = 3*j**2 - 13*j - 8. Give l(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -17. Suppose -2*f + 0*f = -4*a + 10, 5*f - 35 = -2*a. Sort a, 3, h in descending order.\nAnswer: a, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114780434381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o - 11. Let q be i(-5). Solve -5*z - 3*x = -8*x - 5, -q*z + 8 = -5*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 63. Let t be (f\/(-2))\/((-45)\/9 - -3). Solve t*y + 3 = -4*a, 3*y + 4 = -3*a + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, 2\/11, 954, 1, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, 3\/58, -484, -1\/5.\nAnswer: -484, -2, -2\/3, -1\/5, 3\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389 by 15.\nAnswer: -389\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 651 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11124 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -5110431151?\nAnswer: -5110431133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3678269 grams to nanograms.\nAnswer: 367826900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101003 - -0.4?\nAnswer: 101003.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 + 10. Let z = h - 15.8. Let b = z + 19. What is the nearest to -0.1 in 4\/3, b, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -11*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12297 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = -4*s. List the prime factors of 29 + (-1 - 2)*s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - o. Let p(a) = -2*a**2 - 7*a - 3. Let j(l) = 3*n(l) - p(l). Let f be j(4). Suppose -3*i - 377 = -5*b - 1911, f*i + b = 1504. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 299, 611, 921, 1229, 1535, 1839?\n\"Answer: -l**2 + 315*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6031975*l*o - 14118701*o wrt l?\nAnswer: -6031975*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1904.9 + -1905. Let a be (-8)\/3*(-9)\/(-6). What is the smallest value in 0, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 299*r + 15836*r + 1814 - 1814 as o + q*r and give q.\nAnswer: 16135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, g: 10}. Give prob of picking 1 g and 2 d.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 3) + (1 + -2 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117.728 - 117.7. Let f = -10 + 10.1. What is the smallest value in c, 0.3, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0 + (-5)\/10. Let y = -5 + 7. What is the second biggest value in y, n, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*k - 85*k = -81270 + 10134 for k.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than 209?\nAnswer: 208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (9 + -7)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**36\/j**(-3\/13))**(-1\/4) assuming j is positive.\nAnswer: j**(-471\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 1 = 3*k, 0 = -2*k - 12 + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/8699 or -1?\nAnswer: -5\/8699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171303468233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 4*l. Let m(k) = 3*k**2 + 4*k + 8. Let u = -215 + 216. Let x(q) = -q**2 - q - 2. Let i(w) = u*m(w) + 4*x(w). Determine p(i(b)).\nAnswer: b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1080*f + 1088*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 10*n + 9. What is f(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688841310.\nAnswer: 2, 3, 5, 89, 257993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 70 = 78. Find the third derivative of -45*p**5 + 185 - 185 - c*p**2 + 50*p**2 wrt p.\nAnswer: -2700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 601751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(612) + sqrt(612) + -5 + -1 + -5)**2.\nAnswer: -264*sqrt(17) + 2569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 - 46940*q**3 - 549101382*q**2 + 40826487460*q - 756480718081 = 0.\nAnswer: -23507, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 3. Suppose -2*x + 3 - 9 = 0. Let k be -1*(-2 - -3) - -2. Let i(u) = -3 + k + 3. Give x*i(c) + n(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(2 - -45*12\/24). Solve -389 = -p*m - 242 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264993 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 24302*b + 7079. Let x(t) = 8099*t + 2360. Let s(g) = -3*r(g) + 8*x(g). What is the derivative of s(o) wrt o?\nAnswer: -8114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 348 + 96 = 0. Let j = d + 73. Find the second derivative of -218*b**2 + 218*b**2 + 5*b**3 - j*b wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954279 is divided by 2909?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4bb4c0 (base 13) to base 8\nAnswer: -6753126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2*z + 2. Let k(b) = -2*b**2 + 3*b - 2. Calculate -3*k(v) - 4*l(v).\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*z - 2, 2*z + 14 = 6*k - k. Suppose -5*h = 4*f - 16, -k*h - 3*f = -5 - 0. Sort 1, h, 0 in increasing order.\nAnswer: 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**2\/9 + 216*c + 1948\/9 = 0.\nAnswer: -1, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 - 7*v**2 + 19*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.811 times -0.065?\nAnswer: -0.052715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, s: 2, o: 1}. Give prob of picking 1 j and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 1.6. What is the nearest to -1 in -2\/5, 1\/13, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*y - 41*y - 8640 = -294*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**2 + 3*j - 2. Let v be p(1). Is (102\/v)\/((-2)\/(-428)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3028723.\nAnswer: 5\/3028723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10426 is divided by 1804?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679890 is divided by 1046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -6570.95631.\nAnswer: -6572.95631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861364, 1722691, 2584018, 3445345, 4306672, 5167999?\nAnswer: 6029326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -143, -132, -109, -68, -3, 92, 223, 396?\n\"Answer: d**3 + 4*d - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -205270550 rounded to the nearest one hundred thousand?\nAnswer: -205300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, i: 7, l: 5}. What is prob of sequence ip?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14560 and 1581440.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - x - 1. Determine z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0811652 litres?\nAnswer: 81.1652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, e: 3}. Give prob of picking 2 e.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3365, -6718, -10073, -13430, -16789, -20150, -23513?\n\"Answer: -u**2 - 3350*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by ((-120)\/10)\/(4\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 10}. Give prob of picking 3 y.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87438394*m**2 + 1 - 1 - 87438403*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-15) - 104\/(-6). Let b(o) = -o**3 - 3*o**2 + 2*o + 5. Let u be b(-7). What is the highest common factor of j and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 7*m - 5. Let o be t(4). Let a = o - 3. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/((-60)\/25))\/((-10)\/36). Suppose 4*m + t - 28 = -2*r, -3*r + 4*m + 3 = 0. Solve p = r*x - 19, -2*p = -0*x - 4*x + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 e when three letters picked without replacement from {e: 2, c: 11, j: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0334 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10*1\/(-2))\/((113685\/(-117))\/265)\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 57. Let s = -544.3927 - -501.395. Let b = s - t. Round b to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 8*p**3\/3 + 6*p**2 - 2*p\/3 - 4 = 0.\nAnswer: -2, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t + 4*v + 16, t - 3*v = 5. Let s = 8 - t. Let b = -4 - s. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1114, -1423, -1730, -2029, -2314, -2579, -2818?\n\"Answer: o**3 - 5*o**2 - 301*o - 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -240, -1905, -6434, -15261, -29820, -51545, -81870?\n\"Answer: -239*a**3 + 2*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9118 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 4 (c) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at most as big as -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -7 + 43\/2*n**2 + 9*n. Find the first derivative of l(g) wrt g.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671.037669 rounded to 1 dp?\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3863?\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 3*p - 3. Let h be q(-4). Let o = -13 - h. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 19. Calculate m(72).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 385ed1 + -3?\nAnswer: 385ece","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -m - 0*m. Let b be (534\/(-712))\/(2 + (-126)\/64). Let c be (80\/8)\/(-20)*b. Calculate the highest common divisor of c and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f)**(-1\/16)*(f\/(f\/f**(1\/2)))\/(f\/((f**(-1\/2)\/f)\/f)))**(3\/10) assuming f is positive.\nAnswer: f**(-291\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6*6\/12)\/(6\/34))\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -88*z + 0*z**2 + 13 - 2*z**2 + 93*z + z**2. Let m be w(6). Solve m = l + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbnnbrnnr. What is prob of picking 4 n?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 + -8)) + -6 - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + 0.6. Let c = -0.9 + s. Let x be 1 - 3 - (-4)\/3. What is the smallest value in -1\/2, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 106. Let r be t(-26). Put 1, r, 4 in increasing order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32649 - -32652. Suppose 4*a = -2*r - 102, -4*r - 6 = 3*a + 83. Sort 1, a, b in increasing order.\nAnswer: a, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 66\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 - 2*p + 4. Let n be s(7). Suppose 72 = 2*a + 2*u, -3*u - n = -2*a - u. Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 1978*o + 4605276\/7.\nAnswer: -2*(o - 7241)*(o + 318)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26681639 and -13.3.\nAnswer: -26681652.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.067697 micrograms in kilograms?\nAnswer: 0.000000006067697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:29 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 184.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 1\/6*j**4 + 0 + 9\/2*j**2 + 19*j - 1\/6*j**3. Is g(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 6 (b) -2 (c) 1\/3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 9*z - 9. Let f be l(7). Solve 5*o - 20 = -f*v, o - v = -4*v + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160442803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4145, 34156, 115621, 274268, 535825, 926020, 1470581?\n\"Answer: 4288*z**3 - z**2 - 2*z - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6278268, 6278383, 6278574, 6278841?\n\"Answer: 38*x**2 + x + 6278229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29379?\nAnswer: 3, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -27, -35?\n\"Answer: -8*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 78513344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 249 in 2\/209, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20805, -21641, -22477?\n\"Answer: -836*i - 19969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/5088101 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(320))*4 + -4)**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**3\/3 - 3*a**2\/2 + 1. Let w be q(3). Solve -2*z - z + 6 = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -535c3a - 5?\nAnswer: -535c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i + 4. Let w = -10 - -1. Let r = 15 + w. Let h be p(r). Solve 0*a + 4*a = 0, h*z - 2*a + 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 10480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 204\/2*(-3 + 4). Let u = g - 66. Round u to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**2 + 23*y. Let b(m) = 33*m**2 + 47*m. Let w(t) = -4*b(t) + 7*g(t). Find the second derivative of w(a) wrt a.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 988*m - 26471. Determine x(36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -1\/60*z**5 + 0 + 0*z**4 - 1\/180*z**6 - 1\/6*z**3 + 0*z - z**2. Let p(k) be the first derivative of u(k). Factor p(g).\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -400. What are the prime factors of f?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477 by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*3 + sqrt(143))\/sqrt(11)*3)**2 + 2.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30773, 11, -7 in increasing order.\nAnswer: -30773, -7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003904638139 rounded to 6 dps?\nAnswer: 0.003905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1944*w**3 - 1135*w**2 - 1.\nAnswer: -11664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w**2 + 5*w - 25. What is the tens digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - 0\/2 - 16030\/2100 and 173\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5066, 6283, 7500, 8717, 9934?\nAnswer: 11151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let w be k(1). Solve 3 = i + w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = 5*a - 16*z - 100, -2*a = -2*z - 52. Let t(q) = 7*q + 7. Let d be t(17). What is the highest common divisor of d and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11645 (base 13) to base 6.\nAnswer: -403205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1362*h**3*r - 8*h**2*r**2 + 13841*r**2 wrt h.\nAnswer: -4086*h**2*r - 16*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llilklmrilkrimlllll. What is prob of picking 2 l?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 37*p - 24*p + 27 - 135 = -3*x - 58*p, -108 = 3*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 1. Let n = s + 0.1. Let m = -0.293 + -0.007. Is n at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p + 21*p + 23*p + 4*p**3 + 4*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31903180 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9361, 21363, 36025, 53347?\nAnswer: 73329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 138, -115, -802, -2139, -4342, -7627?\n\"Answer: -36*i**3 - i**2 + 2*i + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 4, g: 1, c: 1, f: 5}. What is prob of sequence cf?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-3)\/(-8 + 5). Let v be f\/(-12)*36\/(-222). Is v greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528, -693, -858, -1023, -1188?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10748*h**2 - 11*h**4 + 3*h - 10748*h**2 - 8*h**3 - 2*h**4 to b*h**3 + x*h + p*h**2 + j*h**4 + n and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 73, 91, 125, 181, 265?\n\"Answer: x**3 - x**2 + 4*x + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 101 = -16. Suppose 4*x - s = 7. What is the smallest common multiple of 9 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, -8, 11, 0 in ascending order.\nAnswer: -8, 0, 4, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14141865 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 8. Let k be g(9). Suppose k = -5*n + 11. Let m be (5 - 0)\/((-5 + (-77)\/(-14))*2). Solve -2*u + 2 = -n, -m*r + 15 = 5*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 7*p + 6 - 2*p**2 - 10. Is m(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3 = -9 + 3, 23*u = -59*a + 57*a - 167 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106455 by 15.\nAnswer: 7097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 433429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2365 + 763 = -3*p. Let b = 414 - p. Are b and -119 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*c - 14, 2*c + 3*t = -t - 4. Suppose -4*o = -3*n + 16, -2*o = -n + c*n - 2. Suppose 5*q = 2*q + 12. Sort 2, -2, q, o in decreasing order.\nAnswer: q, 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -17*p**5\/10 - p**4\/6 - p**3\/6 + 2*p. Let g be s(-1). Let x = 47 - g. Calculate the lowest common multiple of x and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 - 6*x - 5. Suppose -4*m = -6*m - 8. Calculate w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26625 and 1147431?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + 17\/4. Suppose 18*t = 14*t + 16. Let u be d\/16*-1*t. Sort u, 2, -4 in decreasing order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 456, 463, 474, 489, 508?\n\"Answer: 2*b**2 + b + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1155)\/(-28) - (-15)\/(-60). Solve -d*m = -37*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 211, 3\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 - 96. Calculate the remainder when 90 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = -646*q + 5922 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -295446990 rounded to the nearest one hundred thousand?\nAnswer: -295400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 241380 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 322?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/36 + 3766\/18 is divided by ((-15)\/33 - -1) + ((-2268)\/(-77) - -5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*x + 100*x + 21696 = -65*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 23 - 23 + 0*m - m. Let t be g(3). Suppose -t = -s + 1. Solve -5*a + 4*y - 16 = 0, -2*a + 5*a + 4*y + s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -3 (b) -6 (c) -115\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2254667 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36023936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/((-2)\/24). Are u and 9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018453517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z. Sort -2, -1, z in increasing order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -0.0049236?\nAnswer: 2.9950764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1283001 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - 22\/55*-5) + 27. Solve c = -5*j + 2*m, 2*j + 3*m + 111 = 106 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 55552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 253\/11 - (1 - 0). Let y = 24 - p. Let t(n) = 3*n**y - 15*n**2 + 6*n**2 - 3*n**2. Let r(k) = k. Give r(t(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 10*z**2 + 9*z - 6. What are the prime factors of i(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 + 3 - (-20 + 35 + 6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -3 - 0 - (-10 - (-1 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvwwrwdvwwvvvwdi. What is prob of picking 2 r and 1 v?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2 (c) 2\/17 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457842 and 12364.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*j - 0 + 12, 0 = 2*d - 3*j + 12. Solve 0 = -y + 4*t + 16, 28 = -2*y - 4*t - d*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/49*(-14)\/(-728)*-26.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Suppose x = 5*d - 4*d - 85. Let j be (-1)\/(-2) + 134\/4. What is the highest common factor of j and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (86 + -72 - (0 + -5))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4670500790?\nAnswer: 2, 5, 467050079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(6\/(-6))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 - 7*j**2 + 2. Let g(i) = -i**3 - i**2 + i. Let u(d) = -3*g(d) + k(d). Let l(r) = r - 9. Let v be l(6). What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 297*f**3 + 353*f**3 + 153*f**3.\nAnswer: 803*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750 = 179*c - 1123 - 4571 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 1)\/((-25)\/((-150)\/24)))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*w + 4*w**3 + 59*w - 28*w + 3 as o*w**2 + g*w**3 + r + a*w and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7598.04ml in litres?\nAnswer: 7.59804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*0.7\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**2 + 7*j + 7. Let p(x) = -4*x**2 + x + 3. Let u(q) = -q. Let i(w) = p(w) - 2*u(w). Let f(m) = 3*a(m) - 7*i(m). Let y(g) = -10*g. Give f(y(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**2 + 24720*o - 49460 = 0.\nAnswer: -4946, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4 - 44. Suppose 103029*b = 103148*b. Solve b = 4*t - 0*t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 3*d**2 - d**2)*(3*d**3 + 0*d**3 + d**3).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-15)\/y)\/(y\/y**0))**(-3\/11))**(3\/8) assuming y is positive.\nAnswer: y**(153\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80638 is divided by 252.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -178. Let h be (w - -2) + (-18 - -14). Solve -h*d + 4 = -6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 35 = 8047*t - 8046*t, 0 = -4*t - 2*s + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from bbbwbwb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/22 + 0 + 36\/(-66)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8) + (24 - -4 - 25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*3*-1. What is the common denominator of (58\/2 - -2)\/11 and 0\/v - 108\/(-10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 3:27 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.193 - -6.307. Let z = 16 - 10. Let i = z - h. Which is the nearest to 2\/7? (a) -3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 + 4*z - 7.\nAnswer: -(z - 14)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.88497 + -5.\nAnswer: -19.88497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336081, -671856, -1007629, -1343400, -1679169, -2014936, -2350701?\nAnswer: -2686464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22865, -45736, -68607, -91478, -114349, -137220?\n\"Answer: -22871*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 11*j**2 + 34*j - 16. Let f be w(14). Let o be (4\/(f\/(-24)))\/(1\/4). Suppose -47761 = o*n + 124739. Round n to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-172)\/1290)\/(4\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6642 and -115\/2952.\nAnswer: 26568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 5, s: 7, l: 3, h: 3}. What is prob of sequence shsb?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4700?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -117971, 17.2.\nAnswer: -117971, 2, 17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 1472.12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*o = 375*o + 3*r - 17, -4*o - 21*r = -104 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 56*g + 25 + 20)*(-3*g - 4*g + 4*g).\nAnswer: -168*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -15. Is ((-934)\/3)\/(o\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 1406*h**2 + 113296*h.\nAnswer: -2*h*(h - 73)*(h + 776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a milligram in micrograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 26 = -19*n - 25. Let r = 2 - 0. Suppose -f - 1 + 6 = 0. Sort n, f, r, -10.\nAnswer: -10, n, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 + 5. Let k = o + 0.9. Do k and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179.00111 - -179. Round p to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -49, -8 in descending order.\nAnswer: 2, -3, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 3*h**3 - 6*h**3 - 2*h - 2 + 2*h**2. What is the least common multiple of b(-2) and (-246)\/(-12) + (-2)\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9855.963 seconds to nanoseconds.\nAnswer: 9855963000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186064 = 12*k + 59812. Suppose 0 = -17*d - 22051 - k. Round d to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -1011202102220?\nAnswer: -1011202101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n. Let x(t) be the first derivative of -2*t**3\/3 - 6. What is o(x(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 767.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 77 + 527. Let w be k\/18*(-16)\/5. Suppose 3*z - w = -5*v, 2*z - z + 10 = 3*v. Solve -z*o = -10 - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.492232 (b) 139 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 167 - 4*z + 368 - 184.\nAnswer: -12*z + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sos when three letters picked without replacement from {u: 3, e: 1, s: 1, o: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59405, -118812, -178219?\nAnswer: -237626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-28)*56\/(-308)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(1872) + 0) + 3 + -4 + -2*sqrt(1872) + -2 + -3 + -5)**2.\nAnswer: 1056*sqrt(13) + 30073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b - 12*b + 186 - 41 - 43 + 395 as q*b + z and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen quarters of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.27533 (b) -3 (c) -1 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10006\/14 - 4\/(-14). Is (f\/(-10))\/(2\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c + 3*c**2 + 3*c**2 + c**3 + 3*c**2. Let r be b(-8). Solve -2*n - 2*z = r, 2*n + z = -0*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*b + 12, 0 = b - 0*b + 5. Suppose -a - 3*a + 52 = v, 0 = -u*a + v + 32. Suppose -6 - 2 = -2*r. Solve -3*x = -x + r*j, -5*x + 2*j = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(1900)*2 - (2 + sqrt(1900))*2))**2.\nAnswer: 15360*sqrt(19) + 4377856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 17 + 3. Suppose 0 = -4*y + 4*s + 12, -y - 2*y + 12 = -h*s. Suppose -2*j + 3 + 7 = 4*o, y = 5*j - 3*o - 64. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2\/1)\/1)\/(-19). Let x = 93.9 - 94.08. What is the smallest value in x, p, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 + 4 + 4 - 4 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 3141434?\nAnswer: -3141435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = -2*o. Let v = -8 - o. Solve h = v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -688*(2 - 102)*-125. Round u to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 83501.13 micrograms?\nAnswer: 0.00000008350113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -237*q - 5601. Give s(-38).\nAnswer: 3405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*g - 4*g. Suppose -5*q + g + 11 = 0. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Let p(x) be the third derivative of -1\/60*x**5 + 0*x**4 + 2*x**2 + 0*x + 0*x**3 + s. Let u(o) = -o**2. Determine p(u(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*v**2 + 261 + 26*v**2 + 18*v**2 + 247*v**4 wrt v.\nAnswer: 988*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4168 and 458096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*q = 6*q + 1085*q + 99462 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5169\/2 + -2586. Let o = 18 - 73\/4. What is the biggest value in -1, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxxx when four letters picked without replacement from {r: 11, x: 5}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - -15. Let p = u + -31. Solve 2*i = 0, t - 3 = -5*i - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(9)\/(3*sqrt(3)*3 + sqrt(3)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w, -82*z = -85*z + 4*w + 742. What is the remainder when z is divided by 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2942 - -4597. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n. Let h(f) be the second derivative of -f**3 - 7*f. What is v(h(s))?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3778 (base 11) to base 6.\nAnswer: 34445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0 - 1\/2*o**3 - 28*o + o**2 - 1\/12*o**4. What is t(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w + 30*w - 17*w + 14*w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-247)\/(-3) - 8\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*s**4 + 65*s**3 - s**2 + 39866*s wrt s.\nAnswer: -216*s**2 + 390*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(85)*5 + (4*(2*sqrt(85) + sqrt(85) + sqrt(85)) - sqrt(85)))\/((-5*2*sqrt(25))\/((sqrt(120)\/sqrt(4))\/sqrt(6))))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let p be -49*18\/(-126) - (6 + -1). Let x(d) be the second derivative of 0 + 0*d**p - 13*d + 1\/6*d**3. What is s(x(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, -10, 2\/7, 4\/261?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -103\/4 (b) 0.4 (c) -49 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 348a1 (base 13) in base 12?\nAnswer: 47642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0 + sqrt(208))*-4)**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and 0.001297.\nAnswer: 0.072632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 371*a + 21018. Determine o(-57).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119127379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2\/5 + 772371*p\/5 = 0.\nAnswer: -772371, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 - 830805*s**2 + 172558821603*s + 172559652409 = 0. What is s?\nAnswer: -1, 415403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggngqgrglldnqnl. Give prob of sequence rq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -406446 (base 8) in base 2?\nAnswer: -100000110100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -120.877?\nAnswer: 121.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/8*(-6)\/60.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 64 - 24 = 4*b, 2*b - 2*j = 12. Let z(h) = h - 7. Let n(k) = 3*k - 21. What is b*z(m) - 3*n(m)?\nAnswer: -m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * -72.\nAnswer: 244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 - 7*h - 8. What is the units digit of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.740601 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23895 is divided by 1327.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-12) + 2 + 0. Suppose -497*m = -238*m. Which is the nearest to -2? (a) z (b) m (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7\/5, -1\/10, -0.03, -2, 9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -15. Is 5 a factor of (c - -5) + 7\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**3 - j**2 + 4*j - 3. Let l be d(4). Let x = l - 190. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 3*p + 121, -91 = -3*h + 2*p. Let d = h - 23. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11200002201 (base 3) to base 15.\nAnswer: 1c387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -44. Suppose -5*a + 147 = 3*j, u = -2*j + 2*a - 6*a + 98. Calculate the highest common factor of j and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 33 + 39 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3060)\/(-90) + 225\/9?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -5\/3*z**3 - 1\/2*z**2 + 2 - z. Let i(n) be the first derivative of l(n). What is the derivative of i(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.03 - 8.03. What is the nearest to 0 in -0.1, -0.4, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(162) + 3 + 5 + sqrt(162) + -3 - (-5 + -2 + (-1 + sqrt(162))*-3)))**2.\nAnswer: 24750*sqrt(2) + 104275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/1465979 and -30\/203.\nAnswer: 10261853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2*697\/2 - (-35 - -30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6021*f - 104. List the prime factors of q(-1).\nAnswer: 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 10*l**3 + 35*l**2 + 20*l.\nAnswer: -5*l*(l - 4)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 1853954099\nAnswer: -1853954098.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -81, -0.091, 112.\nAnswer: -81, -2, -0.091, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -3\/8 (c) 1\/6 (d) -61\/52 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*d - 5*b - 73, 5*b + 45 = 3*d. Suppose -s + g = -d, 0*s - 3*s = -2*g - 46. Solve 0 = -3*j - 12, -3*w - j = w - s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627280.361 rounded to the nearest one thousand?\nAnswer: 627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/5 of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/22 and -91\/934.\nAnswer: 10274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 - 16*x + 5. What is the hundreds digit of u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2 + (sqrt(200)*-2 - sqrt(200)) + sqrt(200) + -4)*-2)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -3 + 1)*2. Suppose -k + h = k. Suppose -k*r = -0*r - 12. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2862*a*v**2 + 7733*a*v - 31*a - 7514*v**4 + 10*v wrt v?\nAnswer: -5724*a - 90168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -331.034272 + 5?\nAnswer: -326.034272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 840384767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172750*m + 172754*m - 17 = -5*n, 3*m = -5*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.9109ug in nanograms?\nAnswer: 412910.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 7*m + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g + 1. Let p(x) = 27*x + 38*x - 58*x. Determine -3*a(d) - 4*p(d).\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7002, -14046, -21090, -28134, -35178?\n\"Answer: -7044*h + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303983 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7515.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, l: 8, u: 5}. Give prob of picking 2 j and 1 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1498658 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 136741 (b) 2 (c) 1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 + 310. Suppose -p*k + 223 = -67. Solve 2*s + 3*b = -k, -7*s - 12 = -2*s + b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213262000 divided by 1066310?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 - 127. Let w = y + 426. Calculate the remainder when w is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -80*o**2 + 5. Let q(f) = 240*f**2 - 16. What is 5*q(a) + 16*t(a)?\nAnswer: -80*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10479 (base 13) to base 3\nAnswer: -1111020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**3\/x)*x**(-1)*x)**(-3\/32)\/(x*x\/((((((x\/x**(-5))\/x*x)\/x)\/x)\/x)\/x)*(x**5\/x*x)\/x)**(-50) assuming x is positive.\nAnswer: x**(6403\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133344, 266803, 400262, 533721, 667180?\nAnswer: 800639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48100 (base 9) in base 5?\nAnswer: 2012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + -44. Let t = 79 + o. Solve 11 = -4*u + 3*r, 5*r - t = 2*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 5. Let g(u) be the first derivative of -4*u**2 + 4*u - 965. Is 4 a factor of g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 6, -6 in descending order.\nAnswer: 6, 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(11))*-5 - sqrt(11)) + 0 + 4 + sqrt(176) + -4.\nAnswer: -2*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 183352800 divided by 10144\nAnswer: 18075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z + 23*z + 0*z**2 - 1 - 4*z + 2*z**2 - 8*z. Suppose 7*h - 2*h = -15. What is the units digit of j(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73475 is divided by 36312.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*s + 3518, 5*s - 3*h + 4*h - 4387 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nunz when four letters picked without replacement from fjueznne?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 + 5*r - 4. Let m be q(6). Calculate the common denominator of 27\/14 + 1 + -1 and (-1 - m\/11)\/2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15916307, 15916308, 15916309, 15916310, 15916311?\n\"Answer: u + 15916306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77649*z - 155299*z + 77629*z.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*t - 3*m, -3*t = -5*m + 3 - 8. Calculate the remainder when 153 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 17 - 6 - 67876*v + 1.\nAnswer: -67876*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167504192.000103 - -167504275. Let o = f + -83. What is o rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 5. Let v be i(0). Let w(q) = v*q + 1 - 2*q - 1. Let o(g) = 2*g. What is o(w(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 726 - -1?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 20*b + 21. Let w be l(21). Let g be (4 - (w - 0))*21\/14. Let i(q) = q**3 - 7*q**2 + 8*q - 6. Give i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 58, 151, 332, 631, 1078?\n\"Answer: 5*u**3 - u**2 + 3*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33219?\nAnswer: 3, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*v + 151*v - 60 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-68)\/(-12) + (-8)\/12. Let g(k) = k**3 - 3*k**2 - k. Let r be g(o). Suppose -2*f + r = f. What is the greatest common factor of 135 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 + 4*w**2 - 3*w**2)*(0*w - 3*w + 4*w) - 739 - 3*w + 11*w**3 + 739 to p + z*w**2 + g*w + b*w**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*z + 5*z + 2050, z + 1540 = 3*g. Let d(s) = s**3 + 2*s**2 + 2*s - 22. Let r be d(-7). Let x = r + g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose -4*r + 6 - 1 = -3*n, -a*r - 5*n + 15 = 0. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -128. What is the greatest common divisor of a and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*r**4 + 181*r + 2*r**3 + 20*r**4 - 1452*r - 6*r**4 - 8*r**3 wrt r?\nAnswer: 348*r**2 - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 3*v - 5*d, 2*v + 5*d - 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 923533 smaller than 923520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*s**2 - 213*s**2 - 77*s**3 - 163*s**3 + 83*s**2 + 61*s**2.\nAnswer: -240*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02327358 rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.3 and 36.202.\nAnswer: 300.4766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.8 or 591?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 17*s + 1743. Let q(m) = 10*m + 870. Calculate 5*q(u) - 3*w(u).\nAnswer: -u - 879","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -2. Let y be 2*(3 - (-8)\/a). What is the second biggest value in y, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 55\/4 + (-51)\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r + 5*x + 13 = 0, -3*r = -x - 7. Suppose -4*f + 17 + 23 = -4*u, -u = -r*f + 16. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 12*b**7\/7 + 6*b**3 + 21. Find the third derivative of c(f) wrt f.\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, d: 1, o: 1, b: 1}. Give prob of sequence dbo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -u + 4*u - 70, -2*n - 16 = -u. Suppose -37 - u = -3*j. Let w = j - 13. Solve -8 = w*t - 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 - 1.8. What is the closest to -2\/3 in k, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2059 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 339761 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1285*r**2 - 354.\nAnswer: -2570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/4158 and 191\/59598.\nAnswer: 178794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 - -90. Let p(j) = j**2 + j + 1. Give p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 3*x - 39. Let u be i(0). Let l = u - -40. Let k = -4.6 - -4.6. What is the fourth biggest value in k, 0.1, l, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -37. Which is greater: 15 or r?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3) - 203\/84.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0358613?\nAnswer: -0.01434452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:06 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 24*p - 153. Sort -5, 4, p, 0 in decreasing order.\nAnswer: p, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 130 = 2*o. Let c(s) = 2*s - o*s**3 + 27*s**3 + 0*s - 4 - 8*s**2. What is the remainder when 58 is divided by c(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263*g + 274*g - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, 1\/17031, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2391*x + 932*x = -2753*x - 115444 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 25425*w**3 + 53958114*w**2 - 376614300*w + 322681608 = 0. What is w?\nAnswer: 1, 6, 4234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {r: 4, g: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 420*i**2 + 429*i - 846.\nAnswer: -3*(i - 141)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 19*w**2 + w - 13. What is o(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-4) + 3\/(-6). Suppose -6*c = -3*c + q. Let y = 1166 - 1164. Sort y, c, 4 in decreasing order.\nAnswer: 4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -12320203?\nAnswer: 12320213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51 + 149*w**2 + 57 - 109*w**3 - 108 - 43*w**3 wrt w?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.44697um to centimeters.\nAnswer: 0.008444697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1716 + 3.1716. Which is bigger: 45 or g?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/8)\/(2\/(-44)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than 6.454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5418661 micrometers?\nAnswer: 0.0000005418661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + -106588?\nAnswer: -1065a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 16*q + 39 = 15*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49547, 198150, 445811, 792530?\n\"Answer: 49529*b**2 + 16*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*i**6 + 2*i**2 + 40*i.\nAnswer: -18240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28\/11 + -223\/66. Is -1 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -743*v + 1483*v - 744*v - 12, 5*v = 7*b - 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (-2 - -2 - 9 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -113 + 13. Let w = i - -30. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 33 = -3*o, -4 = -3*q - 13. Suppose 16*u + 1836 = -11*u. What is the remainder when (10 - 7)\/((-3)\/u) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8672441 less than -8672460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*c**2 - 463*c**2 + 590*c**2 + 32*c**2 - 2 + 2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/330 + j**4\/44 + 13*j**2\/2 + 12*j. Let v(q) be the first derivative of k(q). Determine y, given that v(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 4*p**2 + 3*p + 8. Let u be h(-4). Sort -8, -1, u, -2 in ascending order.\nAnswer: -8, u, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421133?\nAnswer: 421133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b**3 - 275*b**2 - 235*b + 2310 = 0. Calculate b.\nAnswer: -3, 11\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 1. Let w(j) = -j**2 - 10*j + 78. Calculate the remainder when w(-14) is divided by d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -724\/35 - -102\/5. Sort 5, -2, r, -1\/6 in decreasing order.\nAnswer: 5, -1\/6, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5179 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)*v**2*v*v)\/(v**(2\/11)*v**11))**(1\/12) assuming v is positive.\nAnswer: v**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6816, 8285, 10732, 14157, 18560, 23941?\n\"Answer: 489*b**2 + 2*b + 6325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/5)*j**(1\/3) assuming j is positive.\nAnswer: j**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 3:52 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4228\/1285 or 3?\nAnswer: 4228\/1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(3\/(1\/((-60)\/(-54))))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l - 11. Let h(o) = o. Let k be (6\/(-5))\/(5\/(150\/9)). Let v(j) = k*h(j) + g(j). Let t be v(2). What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3*q**2 + 128*j**3 + 3*j*q**2 + 12*j*q + 2*j wrt q?\nAnswer: -4*j**3*q + 6*j*q + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - f + 33 - 48 = 0, 0 = 4*l - 3*f - 33. Let i(v) = -56*v + l*v - v**2 + 51*v + 5. What is i(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 381?\nAnswer: 1\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**3 + o**3 - 3*o - 7*o**3 in the form w*o**2 + y*o**3 + l + s*o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822 and 359762?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a - 244 + 244)*(3 - 3 + a) + (3*a - 2*a - 6*a)*(3 + 4 + a - 5).\nAnswer: 6*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 21. Let r(y) = -y**2 - 2*y - 44. What is -r(k) - 4*s(k)?\nAnswer: k**2 - 2*k - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-15))\/((-2)\/10). Let b(y) = -y + 8. Let n be b(-4). Let z = -9 + n. Solve -2*o + 5 = i + x*i, 2*o - z*i + 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26543138 or 1?\nAnswer: -26543138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.247 - -0.147. Let y = -10 - z. Let x be (1\/4 - -1) + -1. What is the nearest to y in x, -2, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-5 - -31) + 14 + -9 + -24 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14528206 or 14528202?\nAnswer: 14528206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w - 18. Let r be ((-2)\/(-6))\/(-1 + (-15)\/(-18)). Let n be h(r). What is the greatest common factor of 52 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1166439 at least as big as -1166435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11111100101001101001?\nAnswer: -11111100101001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807319.\nAnswer: 47, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (150 + 2*j + 203 - 350 + 7*j**2)*(-22 + 10 + 17) as r + w*j + b*j**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0 - 1\/240*w**6 + 1\/32*w**4 - 1\/160*w**5 - 2*w - 1\/8*w**2 + 1\/48*w**3. Factor r(f).\nAnswer: -(f - 1)**2*(f + 1)*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -322612863\/32 - -10100665. Let x(h) = 19011*h**2. Let p be x(-1). Let m = b - p. What is the common denominator of 31\/11 and m?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 6*i - 36, -717*n + 714*n + i = 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*-0.0591.\nAnswer: -4.7871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8352 = 2*y, 2*y - 3833 - 4519 = 4*k. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**3 - 7*y**2 - 33*y - 147. Determine a(-5).\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 5}. What is prob of picking 1 f and 3 o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 10:58 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176055 and 158595?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-0.2.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -0.06, 1.79, 0.5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, 16, 158, 460, 976, 1760, 2866, 4348?\n\"Answer: 9*o**3 - o**2 - 24*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.044 - 27.044. Let w = u + 27.4. Which is the closest to -2\/7? (a) 3 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z + 20. Let h be d(-9). Suppose 4 = 3*t - h. Let q(v) = v**3 - v**2 - 5*v + 3. Let c be q(3). Solve -t*u = -c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - 316244*r**4 - r**3 - 8*r**2 + 316245*r**4 - 2 + 18*r to o*r**3 + x*r**4 + h*r + c*r**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*u**2 + 110*u**2 - 6514 + 6514 + 101*u**2.\nAnswer: 399*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 34*p + 132. Let u(i) = -7*i + 12. Let l(h) = 15*h - 23. Let g(a) = 3*l(a) + 7*u(a). What is the tens digit of g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Suppose -26 = 5*q + 14. Let i be (-40)\/(-45)*(-2)\/q. Which is the nearest to -1? (a) i (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 176125044?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**5\/5 + 14*u**4 + 186*u**3\/5 + 74*u**2\/5 - 48*u\/5 = 0 for u.\nAnswer: -8, -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-14.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 9*c - 3*x - 25 = -6*c, 0 = -17*x - 51 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34465 divided by 6893.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 10:17 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -26 - (115 + -122).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -4\/2517, 5, -3.11?\nAnswer: -4\/2517","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-232)\/(-48) - -3) + (-3)\/(-18). Let y(u) = u**2 - 11*u + 4. What is y(h)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -321315687 and 4.\nAnswer: -321315683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4 - 8*q**3 + 42*q**2 - 8*q - 56 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let r(i) be the first derivative of 2*i**3\/3 - 4. What is b(r(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v - 7*v + 44*v)*(-5 + 4 + 2).\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1211130 - -4?\nAnswer: 1211134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 137149?\nAnswer: 3\/137149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545317009 to the power of 1\/3, to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 3762478.\nAnswer: 3762496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 2370. Let z(n) = -6*n**2. Give m(z(k)).\nAnswer: 12*k**2 + 2370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*r + 78, -607*r + 612*r + 5 = 0. Suppose -10*y + 292 = -6*y. Calculate the remainder when y is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 + 44*t**3 - 15*t**3 - 13*t**3 - 6*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**3 + 3*v + 4. Let j(w) = 18*w**3 + 8*w + 11. Let z(h) = 3*j(h) - 8*m(h). Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26352, -26941, -27530, -28119, -28708, -29297?\n\"Answer: -589*q - 25763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 60 = 7*t + 5*x, -2*t + x = -16. Suppose 0 = t*c - 936 + 86. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**(-29))**(-50)\/(z**(2\/19)*z**(-1\/6)*z)**(5\/14) assuming z is positive.\nAnswer: z**(1156565\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/((-6)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21)\/15*(-18)\/(-21))\/((-24)\/38960).\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 141071, 145917, 150763, 155609?\n\"Answer: 4846*t + 136225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -238?\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, v: 4, p: 5}. What is prob of picking 3 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 4*g**2 - 3*g + 1 + 4*g**2 - 2*g**2. Let k be r(4). Solve -4*o - 4 = 4*n, 2*o = k*o - 3*n + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 61. Let w be 5\/(15\/t) - 3. Suppose 3 = y + 5*b, b = -y - 0*b + 19. Solve w*c - p + 2*p + 20 = 0, c + 4*p = -y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94392, -377477, -849286, -1509819?\nAnswer: -2359076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1)\/((g\/((g\/((g\/(g\/(g\/(g**2*g*g))))\/g))\/g))\/g))**(-2\/95) assuming g is positive.\nAnswer: g**(-12\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-12)\/18)\/(4\/(-594))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -546, -569, -592, -615?\n\"Answer: -23*n - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, y: 3, e: 3, a: 2}. What is prob of sequence eee?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/48 + -1\/16. Suppose -18*z = -38*z - 80. What is the closest to z in -1\/2, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 415*o + 24. Let t(h) = 2*h. Determine t(c(u)).\nAnswer: 830*u + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44272.961 - -44254. Round m to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -16*l - 340 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 18218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 4. Let n be r(-6). Let b be 1854\/7931 - (45\/21 - 2). What is the closest to 0.1 in n, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4274 to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 213*i**2 - 75939*i + 7377. What is j(-189)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033001669 to 6 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (2 + sqrt(1377)*-1 - sqrt(1377)) - sqrt(1377))*-4.\nAnswer: -72*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 17 (c) 0.5 (d) -29\/5 (e) 0.3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169152\/17 or -9949?\nAnswer: -9949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 683*c - 3328. Let x be p(5). What is the greatest common factor of x and 7192?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let l(c) = -c**3 - c**2. Let p be l(-2). Let v be (9\/2 - p)*6. Solve -5*f - 30 = 5*y, 0 = -j*f + y - 1 + v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -19. Let a be (18\/(-12))\/(o\/(-28)). Let z = a + -6. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2 + -4)*(11 + -15). Let r(n) = 32*n**2 - 2*n - 4. Is 30 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579150 and 4030.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9542 - 244662 = -482*k + 3470. Let u = 11 + -15. Let s be u*(134\/(-8) + 3). What is the greatest common divisor of s and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.204 times 26340\nAnswer: -5373.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -113*l - 4275. What is z(-43)?\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000066557 to seven dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**4\/12 - k**3\/3 - 6*k**2. Let u = -1 - 1. Let i be d(u). Solve -i = -4*z + b - 3, 2 = -z + 2*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*g**2 + (1 + g - 1)*(2 + 2*g - 2) + 0*g**2 + 3*g**2 + 0*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 286369641 divided by -10606283\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:50 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 67.83008716.\nAnswer: 68.03008716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1595832 years in centuries?\nAnswer: 0.001595832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11955595787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269944537 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21884ca (base 13) to base 11.\nAnswer: -5886406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -10.02?\nAnswer: -18.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118 and -17.\nAnswer: -2006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -35 + 4 + (-8 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -15. Let o be (k\/(-7))\/(4\/112). Let s(l) = -l. Let a(i) = -i**2 - 12*i - 4. Let g(w) = o*s(w) + 3*a(w). Let g(y) = 0. What is y?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 10 (b) 1\/31 (c) -0.4 (d) 12 (e) -244\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let c(n) be the third derivative of n**7\/630 + n**4\/12 + 6*n**2. Let r(o) be the second derivative of c(o). Give i(r(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -74*x + 70*x + 38, -x + 18 = 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 41957067?\nAnswer: 41957067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39782466 and 8277.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2188 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150807 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**2 + 4*w**2 + 11*w**4 - w + 0*w wrt w.\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/135*38\/(-95)*1*-5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(2 + sqrt(2688)\/sqrt(6)) - (sqrt(70)*1*-4)\/(sqrt(10) + (sqrt(180)\/sqrt(2) + sqrt(10) - sqrt(10)))).\nAnswer: 12 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*12\/(-200)*(-95)\/114?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.31 - -88.91. What is the nearest to 1\/2 in -5\/69, a, -0.5?\nAnswer: -5\/69","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -923\/3 - -307. Is c equal to -84\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213857*h**2 + 427661*h**2 - 213801*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-2*(-10)\/(-200).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:11 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*w**3 - 91*w**3 - 336*w**3.\nAnswer: -323*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12424\/11541?\nAnswer: -12424\/11541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 1, 18, 57, 124, 225, 366, 553?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from lngbkkbbb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (-5 - (-6 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2953728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -0.125 (c) -32\/161 (d) 1 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/15)\/(1089\/(-32670)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1257015796 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:07 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.2.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 120, 173, 240, 315?\n\"Answer: -b**3 + 16*b**2 - 8*b + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5320 and 38?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -206916 and -114194.\nAnswer: -321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -26*c + 48. Give x(7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:36 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f*i*t**3 + 11*f*i*t**2 + f*t**3 + 448*i*t**3 - 2*i*t**2 + 2*t**3 wrt f?\nAnswer: -i*t**3 + 11*i*t**2 + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -113.779.\nAnswer: 22.7558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4621982 * -36.\nAnswer: -16.6391352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 4*q + q)*(-3 + 0 + 4)*(-11 + 95 + 37)*(q + 4 - 4).\nAnswer: 242*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjnj when four letters picked without replacement from {n: 16, j: 4}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldd when three letters picked without replacement from {d: 4, f: 4, l: 2, x: 3, y: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*v - 8 - 8, 0 = b - 4*v - 15. Let a be (b*4)\/(1*(-6)\/3). Solve -6 = -5*f + l + 3*l, -a*f + 4 = -2*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 2481*k - 2494*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135030 (base 6) to base 14.\nAnswer: 4918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*y - 208 = -148*y + 353 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 437321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 + 19821*w**2\/4 + 277053*w\/4 + 969171\/4.\nAnswer: 3*(w + 7)**2*(w + 6593)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 + -287. List the prime factors of d*1*(-5 + 4).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 24533?\nAnswer: 59\/24533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6368115 + 114068.9.\nAnswer: -6254046.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-79)\/(-6) + 4 + (3 - 17). Factor 10\/3*z - 1\/6*z**2 - l.\nAnswer: -(z - 19)*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -119\/2. Which is the closest to -1\/4? (a) 2\/7 (b) 3\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/9 + 26*n**3\/3 - 140*n**2\/3 + 808*n\/9 - 176\/3 = 0?\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -427 - 5?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31929?\nAnswer: 3, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*m + 6 = 0. Suppose -7*q = -23 + 9. Let v(c) = 4 + 5*c**q + 7*c + 0*c**3 - 7 - c**3. What is v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 9. Let t be o(-4). What is the tens digit of (-7539)\/(-105) - 1\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -3523.14\nAnswer: 704.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2392917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11693389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.04 + 1.04. Which is the biggest value? (a) -5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301\/375456 or 0?\nAnswer: -301\/375456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-162*l + 47*l - 194*l)*(3 + 6 - 3)*(-1 + 1 + l - 2) to the form v*l**2 + x*l + d and give x.\nAnswer: 3708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.06, 0.\nAnswer: -6, -0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 + 7 - 7)*(-3*x + 0*x + x + (-3 + 0 + 2)*(-4*x + 3*x + 3*x) + 0*x + x - 2*x + 2*x + x - 4*x + 3*x + 4 - 4).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 13\/4518773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 469312 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144.5 + 145. Put y, -5, 4, -2\/5 in decreasing order.\nAnswer: 4, y, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = 5*j. Suppose -d = -4*d + 9. Let u(g) = d*g - 5*g + 4 + 3*g. What is u(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.9995 + -25. Round w to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -21. Let t be (u + 2)*35\/(-14). Let l = t - 48. Which is the third smallest value? (a) -1\/4 (b) 0.3 (c) 0.4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (167\/(-334))\/((-5)\/(2 - -3)*4\/(-568))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-84))\/((-4)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -131 and 2393?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + w**5 - w**4 + (-w + 4*w + 4*w)*(-9*w**2 + 9*w**2 + 12*w**3)*(3*w + 2*w - 4*w).\nAnswer: 85*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 26.66. Let g = o - 2.66. Which is the nearest to -8? (a) -1\/4 (b) g (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 165 = 4*s - 6*s, -99 = -3*a + 3*s. Calculate the least common multiple of 6*1\/(-2) - -33 and a.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 4105\/28?\nAnswer: 4105\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 = 6*m. Let w = 20 + m. Let y be 48*(10\/8 - 22\/(-88)). Calculate the highest common factor of w and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 751 - -343?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/540 - 13*s**5\/270 - 5*s**4\/18 - 197*s**2. Let w(a) = 0. Calculate a.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 4.8 (c) 4 (d) -3\/4 (e) 8\/321 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 16*s = 50. Suppose 0*w - 877 = -3*x + 5*w, s = -2*w. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 6) to base 4.\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 76 = -144. Let c(i) = -7*i**2 - 4 - 90*i + r*i + 0 + i**3. Let v be c(3). Calculate the highest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -894*a**3 + 932.\nAnswer: -2682*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 1. Suppose 2*d = 4*q - 30, 5*q - 10 = -2*d - d. Let p(k) = k**3 - 7*k**2 - 13*k - 3. What is d*w(n) + p(n)?\nAnswer: n**3 - 2*n**2 - 13*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71635721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 5*l + 12, 2*j - 5*l + 8 = 0. Let q be -3 - (9\/(-2) + 2\/j). What is the tens digit of (7\/2)\/(q\/44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 2*sqrt(180))*2)\/(sqrt(54)\/(sqrt(24)\/sqrt(4)) + sqrt(9) + sqrt(9) - (sqrt(225)*4 - sqrt(9))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 5*i**2 - 2*i + 4. Let j be k(5). Let r be -5*(-2)\/((-4)\/j). Let y = 74 - 44. What is the highest common divisor of r and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*q - 174 + 187, 0*q - q + 2 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12003441, 14 in descending order.\nAnswer: 14, -4, -12003441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 36 + -36 - -3 - (-1 + (98 - 0))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - ((119 - 77) + -72).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 798351740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1148*w - 1026 wrt w.\nAnswer: -1148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.381 + -4040552?\nAnswer: -4040551.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(21\/8)\/(k\/(k*k\/k**(1\/2)))**5*((k*(k**0\/k)\/k)**(3\/5))**21 assuming k is positive.\nAnswer: k**(-307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132373044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.82, -0.9, 2\/7.\nAnswer: -22.82, -0.9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3*x - 4)*(-6*x + x + x) + (-2*x - x + x)*(-5 + 2*x + 5) - x**2 + 2*x**2 + 0*x**2 + x - x**2 - x to the form i*x + p*x**2 + f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-882)\/1764)*5\/8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 1*14\/(-2). Solve -2*i + 10 = t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*s**2 + 592*s**2 + 11*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11837*y + 54 = -11810*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 26190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.343813 to one decimal place.\nAnswer: 113.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/119 + (-600)\/(-7). Suppose 21*z + o = 23*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1 - 5\/7. Let b = 806.7 - 807. What is the nearest to -2\/9 in s, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 minus -0.02?\nAnswer: -50.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490.95001 rounded to 1 decimal place?\nAnswer: 7491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 2. Let j(k) = 8*k**2 + 3. Let b(i) = 15*i**2 + 6. Let s(c) = 4*b(c) - 7*j(c). Let f(l) = -3*r(l) + 4*s(l). Differentiate f(d) wrt d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5715.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p**(-2\/7)*p)\/p*p)*p)\/(p\/p**11))\/(((p\/((p\/(p\/(p*p**(1\/5)\/p)))\/p)*p)\/p)\/(p**(-1\/5)*p)))**(-8\/5) assuming p is positive.\nAnswer: p**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29848 and 6991608?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5593 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4910*p + 7374*p + 1329824 = 820*p for p.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Let c = 5 + u. Is 6 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89c02d4 - 4?\nAnswer: -89c02d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 503475 and 1637013?\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2377 (b) -1.79 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 51 - 51*b**2 + 1\/8*b**3 - 1\/8*b = 0.\nAnswer: -1, 1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 + 24487*v**3.\nAnswer: 24487*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 166*t**2 - 27373*t - 2786. Calculate s(165).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0*j**2 + 0*j**3 + 1\/63*j**7 - 10*j - 1\/18*j**4 + 1\/45*j**6 + 0 - 1\/30*j**5. Factor t(b).\nAnswer: 2*b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-33)\/(l**16*l)*(l*l*(l**(-8)*l)\/l)**9 assuming l is positive.\nAnswer: l**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9541819 decades in centuries?\nAnswer: 0.09541819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 10*i + 2. Let r be o(-10). Let v(b) be the second derivative of -r*b**2 + 1\/3*b**3 + 0 - 2*b. Determine v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -0 - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14)**(-42)*(u**14*u)\/(u*u*u\/(u**(-7\/10)\/u)) assuming u is positive.\nAnswer: u**(-5777\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-6)*45\/(-30). Let t(f) = 7*f + 30. Let h(y) = 11*y + 44. Let x(b) = o*t(b) - 5*h(b). Give x(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 79 - 143 + 2366*g**2 + 3*g + 13308*g**2 + 0*g.\nAnswer: 15674*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + -2*((sqrt(192))**2 + sqrt(3)).\nAnswer: -387 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*j - 17898 = 0, -2*z - 2*j + 8950 = -0*z. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 3*l**5\/20 - 9*l**2. Let n(r) = -r**2. Calculate f(n(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -387.4 - -385.4. Let n be (-1)\/5*(-4)\/(-2). Let z = -0.9 + 1.4. Which is the third biggest value? (a) h (b) -2\/21 (c) z (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4207 + 2446?\nAnswer: 6653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -617 - -896. Suppose 199 - s = -5*d. Solve h - d = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384843.\nAnswer: 3, 163, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 34199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2 + 0*d**2 - 9*d**2. Let i(l) be the second derivative of -5*l**3\/6 - 2*l. Give i(r(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 3*i = -3*q - 27, -5*i + 5 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 884524582 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*1*6\/5. Let l = 0 + j. Let g(o) = o - 2. What is g(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 522, 2158, 4882, 8694?\n\"Answer: 544*b**2 + 4*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:46 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + 12. Suppose -z - c = -0*z + w, 5*z + w = -224. Let v = 47 + z. Solve b - 5*q + 10 = 0, -4*b - 9 = -v*b - 4*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -17. Let r = m + 11. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 474 and 42.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1202 + 1198. What is the nearest to 1\/392 in 2, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -124, -295, -538, -853, -1240?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 7\/(14\/4). Suppose 23 = 5*s + 2*t, -2*s - 27 = -h*s - 3*t. Let n be (-2 + 1)\/(s\/(-3)). Is 1 equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70468 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/363)\/((-7)\/42).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.1323 to 1 dp.\nAnswer: 57.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 39*m**2 + 2*m - 7. Let r(i) = 3*i - 10 + 158*i**2 - 224*i**2 + 124*i**2. Give 7*g(z) - 5*r(z).\nAnswer: -17*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(1\/2)))\/z*z\/(z*z**(-7))*z**4*z**3)\/(z**(-4)*(z\/((z*z**(1\/3))\/z))\/z*z)**48 assuming z is positive.\nAnswer: z**(347\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:30 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-15\/8))**(3\/17) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.141875 millimeters?\nAnswer: 5141875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6491230*l**4 - 4226496 with respect to l.\nAnswer: 25964920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 1. Let k(h) = h. What is -4*k(f) - n(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from qfffbhffbrfqfq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1)\/(-2)*190*(-9)\/(-90). Solve r*o = 41*o + 88 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3840) + 4*sqrt(3840) + sqrt(3840))\/sqrt(12))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 39, -2 in descending order.\nAnswer: 39, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41917 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 525. Let f = 245 - w. Suppose -5*x + f = 10. Calculate the lowest common multiple of x and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-60)\/(-52)))\/13*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204102 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57171180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1238*n**3 + 3176*n**3.\nAnswer: 4414*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*w = 3*w - 4, -3*w = 3*p - 12. Solve -20 = -p*o - 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(-36) - 1\/(-4). Let g = -8\/3 + z. Let r = 3.08 - 0.08. Sort r, g, -3\/5 in descending order.\nAnswer: r, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 17*d + 18. Let u = -7629 + 7644. Give y(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 33. Let x be s(0). Let a = x - -39. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*s + 7 = 0, 3*b + 3*s - 5 = 5*s. Let z be 5*(b + -3 + 700004). What is z rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*v + 12341349 = -93*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/2*n + 1\/2*n**2 + 16.\nAnswer: (n - 32)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5606)\/(-28)*(3 + -1)*-5. Let i = 2006 + n. Is i greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(240)*5)\/sqrt(12))\/(sqrt(100)*1*3).\nAnswer: -2*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -144.33. Let k = p + -0.23. Let m = -2.099956 + k. What is m rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188576557*r**4*w + 90275066*w wrt r.\nAnswer: -754306228*r**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507\/20 at least as big as 2176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1531*r + 985*r + 1045*r - 104*r + 48398 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 2 + 2*v**2 - v**2 + 2*v - 2*v - v**3. Let u be s(2). Suppose u = -3*z - 0*z. Solve z = 2*d + 2 - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2790\/1674*6*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184329, -186887, -189445, -192003, -194561, -197119?\nAnswer: -199677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984489 divided by 5.\nAnswer: -984489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 11*k**2 + 13*k + 13. Let y be w(12). Suppose 2*g = -2*t + 116, -t + 37 = 3*g - y. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8265.3529 and 2.\nAnswer: -8263.3529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let k(v) = -235*v**2 + 2*v. Give k(y(s)).\nAnswer: -235*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(3) + 1 - sqrt(288)\/sqrt(6) - (sqrt(3) + 4*((sqrt(9)\/sqrt(3) - sqrt(3)) + sqrt(3)) - (sqrt(12) + 0)))**2*5.\nAnswer: 600*sqrt(3) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -20, 3*k - 24 + 88 = s. What is the derivative of -s*z**3 + 3*z**3 + 32 - 8*z**2 + 8*z**2 - 19*z**3 wrt z?\nAnswer: -204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 5:45 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1442041*b**3 - 115361*b**2 - 2*b + 1 wrt b?\nAnswer: -8652246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4000425 (base 7) to base 10.\nAnswer: 470811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - 5. Let h be b(3). Suppose 7 = 4*g - h. Suppose 0*s - s + g = 0. Which is greater: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117352*u - 158890 with respect to u.\nAnswer: -117352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2639\/2 - -1400. Let s = 1133\/14 - d. Find the common denominator of s and (-1)\/4 + 182\/88.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 3*m + 3. Let f be i(-4). Let g = -2 - f. Let j = g + 3. Solve o - r = -1, 5*o + 11 = r - j*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 14217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, x: 2, p: 2, q: 2, j: 2, b: 1}. What is prob of picking 1 q, 1 b, and 2 p?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-184)\/(-64) - (-3)\/24. Let p = u - -13. What is the derivative of 43*d - p*d + 45 - 26 wrt d?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-32)\/(-6))*(-3)\/(-99)*-8\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1917*k + 723*k - 4562*k + 1917*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + -40 + 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8238004 decades?\nAnswer: 98.856048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 119*u - 35. Let q(d) = -7*d + 2. What is -2*h(z) - 35*q(z)?\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {f: 2, y: 9, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let v be d(2). Suppose v*u - 4*g - 74 - 77 = 0, 0 = 5*u - 2*g - 275. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 + 7*n - 4. Let m be -15*(-2 + 6\/15). Suppose m = -5*w + 9*w. Does 15 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/41984 and 65\/3936.\nAnswer: 125952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/140 and -67\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9289024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p. Let g(y) = 8455978*y**2. Give g(c(s)).\nAnswer: 135295648*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13653 - -13653.02. Which is the nearest to -2\/3? (a) r (b) 4\/7 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8677 and 11925.\nAnswer: 20602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b - 11. Let u(o) = -5*o + 4. Let d be 6 + (2 - 0\/2). Calculate d*u(i) + 3*k(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - v - v)*(0 - 1 + 4 - 5 - 2 - 3 + 0 + 5 + 16 + (5 - 1 - 3)*(-5 - 10 + 9) + (2 + 4 - 4)*(-1 + 0 - 1)) as p + a*v and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvsvkkvvvkkskvvvkvl. Give prob of picking 2 v.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 15 - 43 = 0. Let g(c) = c**3 + 11*c**2 - 11*c + 23. What is the least common multiple of i and g(-12)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 27, -6, 4, 1, -5, 70 in ascending order.\nAnswer: -6, -5, 0, 1, 4, 27, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/364216 and -91\/16.\nAnswer: 728432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13853*u + 13851. Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfaarararf. Give prob of sequence fa.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3275 (base 9) to base 14\nAnswer: -c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f. Let d(u) = 104*u**2 - 2. What is x(d(z))?\nAnswer: -728*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:25 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3074 = -12*u - 3242 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*m - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 81\/2*(-3 + (-7 - -12)). What is the greatest common divisor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*q - 22 - 5 + 29)*(41 - 11*q - 41) + 3*q + q**2 - 3*q.\nAnswer: 375*q**2 - 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 7. Let r be p(-3). Let i(c) = c**3 - 9*c**2 - 11*c + 11. Let o be i(r). Let d(u) = 13*u**3 - u**2 - u + 1. Determine d(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 5778824 in descending order.\nAnswer: 5778824, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 1:56 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let k be t(4). Suppose k*a = -12 + 32. Suppose 0 = 5*f - 0*b - 4*b - 4, 0 = 4*b - 16. Solve -f*g = -3*o + 15, -3*o + 15 = -a*g + 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170191465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1018 + 1021. Let x(z) be the first derivative of 0*z**2 - 2 - 6\/5*z**5 + 0*z**4 + 0*z - z**k. Find the third derivative of x(y) wrt y.\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 322.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**5 + 3*g**2 + 8*g - 3. Let c(i) = -40*i**5 + 25*i**2 + 65*i - 25. Let u(a) = -3*c(a) + 25*y(a). Find the second derivative of u(j) wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -4.330141.\nAnswer: -3.930141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -170741.3142 to the nearest one thousand.\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 10, -43, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. Suppose 0 = k - 2. Suppose -v*l + 3*u = -36, k*l + 3*u = -2*u - 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 12376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-22 + 10)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/(4085\/(-114)))\/(12\/220).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {c: 7, q: 6, y: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 205*x + 2*x**2 - 52*x - 4*x**2.\nAnswer: 2*x**2 - 257*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16469779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355366*-0.65.\nAnswer: -230987.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, -87 in increasing order.\nAnswer: -87, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sees. What is prob of picking 2 s and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbll. What is prob of sequence bbl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282449 by -1.\nAnswer: 282449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/231)\/(2*(-2)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2288 divided by -572\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-7)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1. Suppose -5*s - 24 + 99 = 5*f, 0 = -2*f + 4*s + 30. Let z = 11 - f. Let n(a) = -a - 3. What is z*b(c) + n(c)?\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-14)\/63*-123.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*10\/(-6)*3\/(-2). Suppose -4*t - 10 = c, 3*t + x = 3*c - 0*t. Let v be (6\/(-4)*c + 13)*-4. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 0, -9*n + 9628 = 2*q - 11*n. Let f = -245120141719\/50896916 + 321\/266476. Let i = q + f. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -33*d**2. Let k(s) = 8*s. Calculate k(z(u)).\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 3*q**5\/20 + 5*q. Let m(g) = g**3. What is -4*m(h) + w(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -644 by -322.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*o - 55 - 61. Calculate the highest common divisor of o and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + u**2 + 17*u - 17*u + 0*u**2 as n + w*u**2 + t*u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(-9 - (-640)\/72). Which is the fourth biggest value? (a) o (b) -7 (c) 0 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2 + 2)*(-3*l + 2*l + 3*l) + 40461*l + 19*l**2 - 4 - 40461*l.\nAnswer: 21*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8752 (base 11) to base 7\nAnswer: -45452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlxxxjxjjl. What is prob of picking 1 l, 1 x, and 2 j?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 252\/1 - (-6)\/2. Let c = w + 508. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000368579 rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256 and 0.8?\nAnswer: -204.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 23861449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9040 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (6522\/(-18))\/((-5)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.0577 - -0.0577. What is the biggest value in 0.4, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (132\/1155)\/((-8)\/(-60)). Determine k so that -a*k - 2\/7*k**2 - 4\/7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) 1 (c) 0.5 (d) -5 (e) -1\/118160 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**3\/3 - 5*v**2 + 38*v - 121. Let f be h(-13). Put -4, 3, f in increasing order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143119\/67 = 2136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 264 = -38*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-19)\/3*-3. Suppose i + 25 = n. Suppose -8*j = -5*j - n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 - n - 239. Let q(t) = -2*t - 3. Give j(q(k)).\nAnswer: -16*k**2 - 46*k - 272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let x = 117580.78 + -117582.7800002. Let q = u + x. What is q rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(432) + 1 + sqrt(432) + -1)*-2.\nAnswer: -48*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22778 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p - 3. Let v be a(-4). Suppose -112 = -5*h + 4*q, -4*h - 5*q = -32 - v. Do 16 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 20*x**2 - 31*x + 12. Let o(k) = 17*k**2 - 30*k + 10. Calculate -6*l(y) + 7*o(y).\nAnswer: -y**2 - 24*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/30)\/(-5)*1\/(-7)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.585 - -0.605. Let d = -4.88 - j. Which is the second biggest value? (a) -3 (b) d (c) -5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029064108 is divided by 343021367.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:10 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqiiqqqiqiqqqiqq. Give prob of picking 3 q and 1 i.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -4, -112.\nAnswer: -112, -4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5744, 5200, 4656, 4112, 3568, 3024?\n\"Answer: -544*i + 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*z + 50 - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 9:14 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 45 = 5*t, 0 = t + 3*l - 20. Suppose -3*p + t*w + 42 = -p, -4*p - 5*w = -84. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 521, 1190, 2127, 3332?\n\"Answer: 134*w**2 - w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 134104?\nAnswer: -134111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 2:00 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(3\/37)*c**5\/c**4 assuming c is positive.\nAnswer: c**(36\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/5 + 1720708*p**2 - 9252689997824*p\/5 + 166545632425536\/5 = 0. Calculate p.\nAnswer: 18, 2150876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1951858180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/390*2\/4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -254016*m**2 - 9058896*m - 80766169.\nAnswer: -(504*m + 8987)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716721 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 190.771806 and 5.\nAnswer: 953.85903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by -128497\nAnswer: -249\/128497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 14 - 5*j**2 - 11)*(2*j**2 - 6*j**2 + 2*j**2)*(-4 + 4 - 3)*(-1 + 2 - 2) to the form i + a*j + k*j**2 + m*j**4 + f*j**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 0*u**3)*(0 - 2 + 5 + (1 + 3 - 5)*(-3 + 3 + 2)) + (3*u**3 - 4*u**3 - u**3)*(0 + 1 + 0).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11*81\/(-297)*(-126)\/(-135)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3941696 and 1210.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128.0988 + 128. What is k rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19044, 38082, 57136, 76212, 95316?\nAnswer: 114454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1, -4, -464 in increasing order.\nAnswer: -464, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2 - 2)*(3 + 3 - 4)*(1 + 6 - 2) - 3 + 3 + t + (1 - 2 + 3)*(2*t + 0*t + 0*t) - 3*t + 2*t + 3*t to the form y + p*t and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4399 and 1537.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 13650410?\nAnswer: 13650415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*24\/(-100) + (-3)\/15. Let c(a) = -35*a - 34*a - 22*a + 118*a + a**2 - 26*a. Let d(k) = -2*k**3 - 2*k**2 - 2*k - 2. What is r*d(y) + 2*c(y)?\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -2)*(-2 - (-5 - -64)). Suppose 64 = -j + i. Let h(w) = w**2 + 3*w + 7. Determine h(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from {h: 11, g: 3}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -15.\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1638723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**2 + 12*x + 6. Let q = -322 + 321. Let a(i) = i**2 - 2*i - 1. Let l(y) = q*r(y) - 6*a(y). Let z(j) = -9*j. What is z(l(c))?\nAnswer: 153*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -16902?\nAnswer: -4\/8451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2537*k - 93861. Determine j(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*((-1104)\/60 + 8). Calculate the greatest common factor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19305 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -97*j + 192. Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*x - 3*h + 9, -2*x = 2*h - 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 178415385 divided by 11894359\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -397, -352, -299, -238?\n\"Answer: 4*m**2 + 33*m - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6 - (161 - 183) - 7) + (-113 - 10)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812120 by -8.\nAnswer: 101515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 246 - 1 = -2*d, 0 = 3*u - 4*d - 791. What is the remainder when u is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 16875?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/24)\/21*32?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 21 = d, 3*q = 3*d - 4*d - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2 - 47704*i - 50054400 = 0.\nAnswer: -22752, -1100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5474\/22365 + 2*(-3)\/27. Let w = -3718\/7455 + i. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/21 + 72*g**4\/7 + 7774*g**3\/21 + 31032*g**2\/7 - 2592*g\/7 - 31104\/7 = 0?\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g. Let u = -86 - -125. Let c(h) = h. Let q(i) = u*c(i) - 6*r(i). Give q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, -4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.21 - -0.21. Let m = o + 10. What is the smallest value in -1, 4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -11*n + 18592. Suppose -5*o - 11630 = 5*s, o + s + n = -o. Let d = o - -3332. What is d rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-675)\/20) - (-460)\/(-225)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 21 = b, y - 4*y - 31 = -2*b. Let c be ((-2)\/(-5))\/(3\/255). What is the highest common factor of c and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**3 + 2*a - 2. Let w be j(2). Suppose -5*i = 3*k - 65, 3*i - k = w - 21. Let o(x) = 3*x - 3. Let q be o(2). Solve -z = q*z - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -27*j**3 - 2*j**2 + 7*j + 13. Let h be i(-3). Suppose -3*f + 658 = 5*v - 43, -h = -3*f - 4*v. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3425*f**3 + 9*f + 22 - 3426*f**3 - 5*f**2 - 1. What is y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7763942ug?\nAnswer: 0.0007763942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56 and 0.5.\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 17*x**2 + 778*x - 184. Let n be t(-46). Solve n - 42 = -7*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**8\/20160 + c**7\/1680 + c**6\/360 - c**5\/20 + c**2. Let d(t) be the third derivative of f(t). Factor d(x).\nAnswer: (x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50032*p = 50077*p + 1980 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -11112200010 (base 3) to base 11.\nAnswer: -61208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -18*y + 33 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, l: 2, z: 1}. What is prob of picking 1 z and 2 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93055, 184525, 275995, 367465?\nAnswer: 458935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1065492 or -1065525?\nAnswer: -1065492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1849.\nAnswer: -4\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 111 - (16 + 5 + -30 - (-7 + (-4 - -3)))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = -g, 0 = -4*x + 4*g + 68. Let c = 25 + x. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*x + 54, 0 = -r - 2*x + 12 + 4. Let g(n) = n**3 - 16*n**2 + 20*n + 5. Calculate g(r).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose y*w + w + 100736 = 4*l, w = -l + 25184. Suppose -l = 3*f + 4*i, 2*f - 4165 = 3*i - 20977. Round f to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 4\/5, -1, -1.491, -0.5 in descending order.\nAnswer: 4\/5, 0.5, -0.5, -1, -1.491, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2736 and (11\/(-220))\/(((-24)\/(-14))\/((-31510)\/(-3059))).\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*u + 9, -6*u + 4 = -p - 11*u. Suppose 5*z - 2*z = 0. Suppose 66 = 2*f + 5*d, 100 = f + 3*f + 2*d. Solve -l - p = -z*a + a, 4*a = 5*l + f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/((8\/(-6))\/1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x + 0*x**3 - x**2 - 389*x**4 - 2*x - 24*x + x**3 in the form g*x**3 + n*x**4 + f*x**2 + j + u*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -292 - 4.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 5*u**2 - 7*u + 4. What is o(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1313 = 2*j - 635, 5*j - 2930 = 3*o. Let n be (-1)\/6 - o\/60. Suppose -4*a = -n*a. Let f(p) = p + 1. Give f(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 - 10 = 0. Let b = 133 - 76. Calculate the remainder when b is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**2 + j - 1. Let w be f(1). Suppose w = 2*t + 3*t. Suppose t*k + k - 36 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*f**2 - 2158*f**2 + 1 - 1.\nAnswer: -1554*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**50)**(-1)\/((o\/(o*o**0*o)*o*o*o)**(-1\/6)\/(o\/(o*o**(-3)\/o)*o**(-2\/11))) assuming o is positive.\nAnswer: o**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 29 = -7*s. Let k = s - -1. Let q(c) be the third derivative of c**5\/30 - 7*c**4\/24 + 5*c**3\/6 + 94*c**2. What is q(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 957040261 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 14*b**2 + 6*b + 50. Let h be w(13). Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + 11113111030?\nAnswer: 11113111130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 108, 4, 10 in ascending order.\nAnswer: 4, 6, 10, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 + 16*s**2\/3 - 140*s\/3 - 200.\nAnswer: 4*(s - 6)*(s + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353 + -356. Which is the nearest to 1? (a) p (b) 0.4 (c) 1\/6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2338 by 188.\nAnswer: -1169\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(4 + 0 - 2) - 4 - 3 + 2)*((4*t**4 + t**4 - 6*t**4)*(4*t + t - 2*t) + 15*t**5 - 27*t**5 + 86*t**5).\nAnswer: -497*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.13, -0.085, 0.5, 1, 4, -3\/5?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2607395011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*c + 9 = 0, y - 51*c - 3 = -54*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258445\/8, -0.3, 4\/3, 0.5 in descending order.\nAnswer: 258445\/8, 4\/3, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l - 1. Let c be w(-3). Let s = 13 + -9. Suppose g - 4*g = 3*j - 33, 0 = s*g. Solve j = c*h + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.2 + -34. Which is bigger: 3.7 or d?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (64\/(-52))\/8 - (-232)\/(-13). What is the lowest common multiple of 16 and y\/(-3 + 1) + 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -459691.\nAnswer: -459690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 42. Let i be t(-13). Calculate the greatest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4326*l = 2*f - 4329*l - 67, 5*l + 82 - 5 = -14*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 10. Let b be v(-12). Find the third derivative of -2*w**2 + 3*w**6 - 4*w**6 - b*w**6 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -27*o**4\/4 - 1017*o**3\/2 - 4647*o**2\/4 - 879*o - 219 = 0.\nAnswer: -73, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 600 = 67*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v**2 + 5*v**2. Suppose 22*a - 15*a - 252 = 0. Let j = a + -39. Let d(w) = -w**2. Give j*f(r) - 8*d(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42250 - 52939254\/1253. Let a be (2\/(-3759))\/((-40)\/579126). Let o = a + c. What is the common denominator of 25\/9 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {r: 2, j: 2, v: 4, d: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/392 and -41\/2632?\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 divided by 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -68*l - 13. Let a(i) = i + 2. Calculate -5*a(b) - y(b).\nAnswer: 63*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3731 - 3595. What is the highest common divisor of 24 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 459, 997, 1583, 2217, 2899, 3629, 4407?\n\"Answer: 24*b**2 + 466*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 195132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {k: 13, y: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3335 - 3335. Solve t = 5*h + 4*m - 22 - 9, -5*m = -20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 919 - 945 = 5*b, -3*g - 4*b = -40 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -2, 34502, 4, 0 in descending order.\nAnswer: 34502, 4, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l**4\/7 + 92*l**3\/7 + 40*l**2\/7 - 92*l\/7 - 24\/7 = 0. What is l?\nAnswer: -1, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 1:27 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 528 = 1002. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118 + 823 - 2761 - 1123 = 199*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 5*o**2 + 3*o - 4. Suppose 1 + 5 = 2*d. Suppose 2*u = 4*a - 90, -275*a + 2*u = -279*a + 102. What is the remainder when a is divided by k(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 3*p + 2. Let j be z(1). Suppose h - 6 = -j*h. Let b be 10\/(-20) + 19\/2. Solve h*k - 1 = -b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017470147 to the power of 1\/2, to the nearest integer?\nAnswer: 54932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/4 + 3\/12. What is the nearest to -1 in 2\/9, 0.3, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v + 0*v)*(-2 - 1 - 1) + 6*v - v - 3*v - 6*v + 2*v + 3*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-nine quarters of a millisecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-28*1\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.64 - 1.5. Let c = 29696.859835 - 29697. Let x = p + c. What is x rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25952807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjxmbddjdvjxx. Give prob of sequence jjb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3196915*b**4 - 68353*b**2 - 18*b.\nAnswer: 76725960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112122011 (base 3) in base 14?\nAnswer: 3c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 74*h + 2963. Give k(-17).\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010111 - -10111110?\nAnswer: -1010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*v + 23 = 0, 3*t - 2*v - 33 = 5. Suppose -t*o + o = -30. Solve -2*z + 3*s - 8 = o*z, 2*s - 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 less than -0.2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 154, 2\/9, -15, -0.2, -0.5, 0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 4, -2, 2\/11, 3\/4, -39609, 6\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:50 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*o - 1 = 0, 20*x - 6*o + 6*o - 13*o + 42 = -15*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166333 + -166334.065902. Let k = -1.067 - i. Round k to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 - 8*t - 12. Determine g(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23908981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let -2*d**5\/3 + 56*d**4\/3 - 104*d**3\/3 - 4*d**2\/3 + 106*d\/3 - 52\/3 = 0. What is d?\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -2, -6, -1 in decreasing order.\nAnswer: 4, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7084490?\nAnswer: 2, 5, 7, 101207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 93921\/945*5. Let k = -490 + w. Suppose 0 = 3*s - 0*s + 3. Which is greater: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*r - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + 0*j**2 + 0*j**2)*(12 + j - 12 + (0 + 0 + 3*j)*(-3 - 3 + 4))*(0*j - j + 3*j) as g*j**4 + l + u*j**2 + n*j**3 + t*j and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1532 - -1516. Let k be ((-24)\/6)\/((4\/(-2))\/(-12)). Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*(-284)\/6. Let y = r - -63. Suppose 34 = 4*l - y. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-30) - 2\/(-12). Solve -1\/3*x**5 + 1\/3 - p*x**2 - 1\/3*x + 1\/3*x**4 + 2\/3*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-16))\/((-6)\/(-8) - 1). Let a(f) be the first derivative of -f**2\/2 + f - 2. Let t be a(1). What is the closest to 1 in x, 1\/2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218565.4 hours to milliseconds.\nAnswer: 786835440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 + 4 - 24*a - 5*a**3 - 5 + 26*a + 14*a**3 + 30*a**3 in the form t*a + r*a**2 + b*a**4 + z + j*a**3 and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 384 = -3*v. Let z = v + 482\/5. Factor 2\/5*l**2 + 2\/5*l**3 - z - 2\/5*l.\nAnswer: 2*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, -3, -0.25 in descending order.\nAnswer: -1\/5, -0.25, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*41*(110\/(-35))\/11*(-7)\/(-2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12626376 and 291312?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -356 + -3?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 4*u + 2*u**2 - 9*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/5 and -97\/1264?\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 315*r**2. Let j(y) be the first derivative of 2*y**3\/3 - 238. Calculate c(j(k)).\nAnswer: 1260*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38019.14 micrometers to centimeters.\nAnswer: 3.801914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(2*x - 4 - 15 - 5)*(-3 - 19 + 9).\nAnswer: -26*x + 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37931107 + -101351914985\/2672. Let l = -5\/167 + j. Let t = 7459\/16 - 466. What is the common denominator of l and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/10*4\/(-3))\/(14\/(-15)). What is the smallest value in -191, 0, f?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 20\/24)*8. Suppose c - 3*z**2 - 16\/3*z = 0. What is z?\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.6224.\nAnswer: 0.6224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 74*u**3 - 5*u**2 - 5*u + 5. Let t(b) = -37*b**3 + 3*b**2 + 3*b - 3. Determine -3*k(g) - 5*t(g).\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2462 divided by -124\nAnswer: 1231\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.5, -0.3 in ascending order.\nAnswer: -0.5, -0.3, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {e: 6, l: 4, r: 2, k: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-16))\/((-120)\/96).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))\/m)**(-38)*(m\/((m**(-1\/6)*m)\/m))\/(m**(1\/2)\/m) assuming m is positive.\nAnswer: m**(-109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-4 - 0) + 0. Let c be 2 - (t\/(-2) + -1). Suppose -3*z + 4 = -c*z. Solve 0 = 2*l + l + f - 2, z*l + 9 = f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 6. Let p be x(0). Let o(a) = -7608*a**2 + 6*a + 15216*a**2 - a**3 - 7603*a**2. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(-441)*-3*1\/(-4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q - 402 = 0. Let g = 523 - 547. What is the tens digit of 2\/((g\/q)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l - 5 + 2*l)*(-4*l - 2*l + l).\nAnswer: 5*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 4, f: 6, v: 3, g: 4}. Give prob of picking 1 k, 1 v, 1 f, and 1 e.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 249675 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let r = 83 - 45. Let f(l) = -94 + 190 - 96 + r*l**2. Give m(f(i)).\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -8*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 0, 53, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -845.030064 + 845. Let d = -0.03 - t. Round d to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**4 - 7835471*r**3 - 2*r**2 + r - 101041?\nAnswer: 48*r - 47012826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 3, -11 = -3*o + 2*c - 0*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2 + 2*r + 7. Let x(q) = -2*q**3 + 6*q**2 - 3*q - 12. Let z(k) = 11*w(k) + 6*x(k). Let n be z(4). Solve 0 = 3*t, n*j = -t - t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*x + 155 = 64*x + 3167 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1415 + 1430 = 15*n. Which is bigger: -6\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220033003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/1204*(-6)\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375 + -440. Let a = -64.749 - i. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**7\/2240 - m**5\/320 + 8*m**3\/3 + 19. Let c(u) be the third derivative of q(u). Determine l, given that c(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 2*a - 6, -4*b + 101 = 12*a + 89 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/3 - j**2\/2 - 6*j. Let l = -7 - -4. Determine k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -18. Suppose 1 = o - 5*y, 37 + s = 4*o - y. Suppose 0*i + 3*i = 297. What is the greatest common factor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = 2*c + 10, 9*c = -i + 36. Let j = 1 + -3. Let a = -2 - j. Solve c*r + 11 + 1 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6157*o**2. Let f(k) = -11*k**2. What is c(f(r))?\nAnswer: 744997*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57709\/3857 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2585 + 10205 = 0. Find the common denominator of (52\/(-120))\/(-13)*z\/4 and -23\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 187*u + 6924. Give z(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 242065587 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: Let x(q) = 371080*q. Let m(j) = 11*j**2. Calculate m(x(y)).\nAnswer: 1514704030400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1578, 1672, 1792, 1938, 2110, 2308?\n\"Answer: 13*k**2 + 55*k + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**31)**(1\/31)*z*(z\/z**(2\/117))\/z*z**27 assuming z is positive.\nAnswer: z**(3391\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 87584512 divided by -1436\nAnswer: -60992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiip when four letters picked without replacement from {i: 14, p: 5}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6*x - 5051*b**4*x**3 - 3*b**2*x**3 + 12*b**2*x**2 - 323*x**3 wrt b?\nAnswer: -120*b**3*x - 121224*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)*1)\/((sqrt(54) - sqrt(6))*-5).\nAnswer: -7*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.26 or -7\/128687?\nAnswer: -7\/128687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1780*l + 1782*l + 12 + 1776*l - 7134*l + 1783*l.\nAnswer: -13*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 762\/43 - 5248\/301. Let c = -1 - -1. Put g, c, 10, -5 in increasing order.\nAnswer: -5, c, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + -5 + 6 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 260 + -350?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m + 446*m + 4617 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.1 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f + 18. Let y(b) = -5*b - 5. Let n(l) = 21*l + 21. Let t(k) = f*y(k) - 2*n(k). Give t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k - 627 = -k - 767 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2063*w = -4*t - 2094*w - 219, 0 = t + 4*w + 36 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 3*l**2 - 6*l**2 + 0*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6385950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 1:39 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-3)*1*(-3)\/6. Suppose -3*v + 2*h + 1838 = 0, 11 = -f*h + 3. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*a + 1317*a - 658*a = 2*f - 17, -23 = 4*a - 3*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 8*z. Let t be d(8). Suppose -5*f - 5*m + 10 = t, 0 = f + 3*f - 3*m - 36. Solve -o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 8 = 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 m when three letters picked without replacement from mmzmzzmzzzzlpmzmzmpm?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-108)\/(-42) + 24\/7. Solve 0 = -3*g + t*v - 5*v, 0 = -2*g + 5*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 178.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -943*q - 10. Let h be (0 - (-7)\/14)\/(1\/(-2)). Is 70 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3875148.\nAnswer: 2, 3, 53, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)\/t)**(6\/11))**(-33) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - o - 3)*(168 + o - 92 - 87) to the form t*o**2 + m + l*o and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -304906831*m**4 - 5751*m**2 + 7772*m + 2.\nAnswer: -7317763944*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27044398*o**2 - 54089786*o**2 + 27044669*o**2.\nAnswer: -719*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1070406 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -223 - (68 + -178 - 6).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((2 - 4) + 7 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 16 = 0, -3*t + 24*d + 19 = 2*t + 21*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = 0, -3*l - 29 = -5*s + 63. Let c(v) = -v**2 - 7*v - 5. Let u be c(-5). Let t = u - -13. What is the lowest common multiple of s and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4111992 = -0*y. Let r = y - -259336. Round r to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 608400.\nAnswer: 608400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1234414 + 4?\nAnswer: -1234410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 + 0.5?\nAnswer: 1017.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-72)\/(-16))\/(234\/52)*(3 - 1). Let z(a) be the second derivative of -1\/2*a**p - 1\/2*a**3 + 16*a + 0. Differentiate z(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:20 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/7 + 80*n**4\/7 - 1236*n**3\/7 - 242*n**2\/7 + 3877*n\/7 - 354 = 0.\nAnswer: -2, 1, 21, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 9. Calculate the remainder when 100 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111\/5 - 22. Let m = 1 + 1. What is the nearest to -1 in m, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 - -9. Let a = -285\/2 - z. Is a less than or equal to -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 30 - 2895*u**3 + 30.\nAnswer: -2895*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1326)\/(-36) - (-2)\/12. Suppose 3*n - 6*n = d - 13, 0 = -2*n + 5*d + g. Suppose 2*p - n + 0 = 0. Put p, 2, 0.1 in decreasing order.\nAnswer: p, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721706 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1532278728.0000331 + -1532278625. Let k = 103 - m. Round k to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/(5\/((-100)\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -203?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4223124529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*-2*3)\/(sqrt(108)\/(-1*sqrt(12)) + (sqrt(1089) - sqrt(1089)*1 - sqrt(1089))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = f + 3*g, -26 = -4*f + 4*g + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6472\/(-2427) + 340\/126)\/(15\/(-21)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20596 and 109484?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217690091 is divided by 424?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {z: 5, j: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 31*w - 61 + 75*w + 33 as f + y*w and give y.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 6*z + 4. Let i be l(8). Let m(w) = 3*w**2 + 10*w + 3. Let f be m(7). Calculate the highest common divisor of f and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2097\/(-466)*36\/(-7290)\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (17 - (-5 + 8) - (-5 + 6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-56))\/((-30)\/(-14)). Which is the nearest to 0? (a) 4 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/8 and -2 - (3342\/(-432) + (-2)\/(-16))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + k = 2*s + 8, 2*s + 3*k + 0*k + 61 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**4 + 62156*r**3\/7 + 681224*r**2\/7 + 1979920*r\/7 + 247392 = 0?\nAnswer: -15462\/7, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -35. Suppose -4*z = z - 60. Let i be (-21)\/z*4\/(-1). Calculate the highest common factor of i and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/22 + (-12831)\/858 - -28. Let b(m) = -29*m**3 + m**2 + 1. Let v be b(-3). What is the highest common factor of v and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.036 - 0.136. Let f = 0.0895 - 24.0895. Put t, f, 0.3 in decreasing order.\nAnswer: 0.3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57313902 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/10 + k**4\/2 + k**3\/2 - 3*k**2 + 9*k. Is n(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234 - -232. Let g be (1 + -2)\/(i\/20*5). Solve 1 + 1 = -g*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + s = -44, -4*s - 25 = s. What is the remainder when 27 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(180) + 2 + ((2 + sqrt(180))**2*-6 - sqrt(180)) - (5 + sqrt(180) + 4*sqrt(180) + -5)).\nAnswer: -1106 - 174*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041786483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away -141?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let c be -2 + (0 - -2)\/1. Let t be -1 + c - (-6)\/2. Let v(g) = g**2 + 2*g**2 - 2*g**t. What is p(v(m))?\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 5*i**2 + 4. Let l be f(-5). Suppose 5 = 3*x - l. Suppose -x*u = -2*k + 571, -k - 5*u = -196 - 96. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 33\/4*w**2 - 3\/2*w + 15\/16*w**4 - 324 - 41\/8*w**3. Factor r(o).\nAnswer: 3*(o - 2)**2*(10*o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79080 divided by 74?\nAnswer: 39540\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 40*n**3 + 41405*n**2 - 331240*n.\nAnswer: -5*n*(n - 91)*(n - 8)*(n + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - -8) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 2\/17 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 - 15*q. Suppose 2*d + 7 = -x, 3*x - 5*d = -2*d + 15. Let v = -5 - x. Let s(t) = -7*t + 5*t**2 + 39 - 39. Determine v*w(i) + 13*s(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b865 + 286?\nAnswer: -1b5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h*h**5)\/(h**(-1)*h**(2\/11)\/h) assuming h is positive.\nAnswer: h**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 33 = -5*u, 12 = 2*u - 3*j + 2*j. What is the remainder when 133\/5 - 3\/u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.0902 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -5. Let c be ((-2)\/(-5))\/(d\/(-150)). Calculate the highest common factor of c and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168294 and 21.\nAnswer: 168294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 17*f + 21 = 0. Let i = 170 + f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -40*r**2 + 9*r. Let n(x) = -20*x**2 + 4*x. Determine -4*h(q) + 9*n(q).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 12233*p + 2891880.\nAnswer: -(p - 12465)*(p + 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.01601 millennia in decades?\nAnswer: 9201.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - r + 2*r + 2*r + 2 - 2 + 2*r + 2*r - 2*r + (0 + 2 - 4)*(-r - r + 0*r) - 5*r + 2*r + r - r - 2 + 2 + (2 + 2 + 4)*(9*r + 21*r - r).\nAnswer: 236*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539856 - -100412377\/186. Let s = v - -52\/31. Is s bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(44) + 4 - (sqrt(99)\/sqrt(36) - sqrt(11))**2 - (-6*sqrt(66)*-2 - sqrt(66))\/sqrt(6).\nAnswer: -8*sqrt(11) + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.1, 1\/14, -1\/4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(-4 + sqrt(1872) + (sqrt(1872) + -2 - sqrt(1872)) + 4 + sqrt(1872)).\nAnswer: -96*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 8*l + 3. Let y be b(-7). Let q = -19\/2 + y. Factor x + q + 1\/2*x**2.\nAnswer: (x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = m + 114, -2*m - 10 = 2. Solve 4*b - 4*v - 12 = 0, 4*v + o = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/304865 and 86\/10845?\nAnswer: 2743785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3009*h**4 + 2*h**3\/3 + 7*h**2 + 75*h + 14155. What is the third derivative of j(a) wrt a?\nAnswer: 72216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-3)\/(-18)*4\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 - r**4\/12 - r**3\/2 - 3*r**2. Let l(d) = d**2 - d - 3. Let i(b) = 3*l(b) - 2*s(b). What is i(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-221)\/(-143))\/(-5 + 6) and 61\/7610.\nAnswer: 83710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11165769 is divided by 54467.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 236, 1731, 5784, 13673, 26676, 46071?\n\"Answer: 213*m**3 + m**2 + m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((1 + sqrt(5))*-2 - (4 + sqrt(45)))*1 - (sqrt(3645)*4 - sqrt(3645))\/sqrt(9)*6).\nAnswer: 36 + 1002*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 5 + 4 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -39, -54, -83, -132, -207?\n\"Answer: -k**3 + 2*k**2 - 6*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79.483 times -0.4\nAnswer: -31.7932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-455) - 460\/52.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 694 and 245329?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - 7. Let c(x) = x**3 + 69*x**2 - 614*x + 151. Let h be c(-77). Let r(o) = -2*o - 8. Calculate h*r(v) + 4*g(v).\nAnswer: -2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2444268 + -8?\nAnswer: 2444260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 132.\nAnswer: 132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 41*u**2 - 26*u + 168. Does 68 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -12\/7*r + 8\/21*r**3 + 1\/14*r**4 + 1\/7*r**2 - 41. Let u(p) = 0. Calculate p.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - c - 17 = 0, c - 1454 = 5*a - 1476 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.069 - -0.069. Sort j, 1, -6, -0.1 in decreasing order.\nAnswer: 1, -0.1, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 13, w: 3}. Give prob of picking 2 s.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 smaller than -544563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q**2 - q. Let j(f) = f + 8. Let x be j(-6). Suppose -2 = x*g, l = 5*l + 4*g. What is c(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*c = -14, 185*r + 16 = 182*r + 5*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*l - 5*l. Let i be ((-8)\/56)\/(l\/(-8)). Determine g, given that i - 8\/7*g**2 - 6\/7*g + 12\/7*g**3 - 6\/7*g**5 + 4\/7*g**4 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-9))\/(1\/(-9)). Solve 7*f + 6*f**2 + 0*f**4 + 2*f**4 - y*f**3 - 9*f = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j - j + (15 - 20 + 48)*(-j + 3 - 3))*(-4 + 10*j - 16*j + 9*j) as g*j + a + v*j**2 and give g.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 239728 and 27504?\nAnswer: 412092432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4\/4 + 2259*r**3\/4 - 3453*r**2\/2 - 19314*r - 27216 = 0. What is r?\nAnswer: -756, -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**6\/30 + 6*l**5\/5 + 16*l**4\/3 + 225*l**2\/2 + 40. Let o(z) be the second derivative of g(z). Factor o(n).\nAnswer: 4*n*(n + 2)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)**(-44)\/(w**(-1))**(1\/5))\/((w**(-1\/6)*w)\/(w\/w**(1\/5)*w)*(w**(-2\/3)\/w)**(-6\/7)) assuming w is positive.\nAnswer: w**(-1859\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4726187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/20 + r**4\/24 + 13*r**3\/2 - 25*r**2. Let d(a) be the first derivative of u(a). Let b(w) = -w. Give -5*b(g) + d(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -4826?\nAnswer: -4829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1135 - 1130. Let w = -8 + 6. What is the third smallest value in -1\/9, w, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/7 - -3)*-7. Let s be (o + (1 - -2))*-47. Let f = -8035\/19 - s. Is -2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200*v**3 - 95*v**2 + 3*v - 594987 wrt v?\nAnswer: 600*v**2 - 190*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1028, -1015, -1002, -989, -976, -963?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -5.04. Let t = d + -5.4. Let g(x) = 2*x**3 + 4*x**2 + 6*x + 7. Let s be g(-2). Sort t, s, 3\/8 in descending order.\nAnswer: 3\/8, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*h - 1 - 2, 1 = h + 2*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*v - 11 = -17, -4*n = 5*v + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-4))\/((-6)\/16))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + 15. Is 47 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -54*h**3 - 7*h - 5. Let v(n) = -161*n**3 - 20*n - 15. Let q = -70 + 53. Let m(x) = q*w(x) + 6*v(x). What is the second derivative of m(d) wrt d?\nAnswer: -288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**3 + 5646*u**2 = 0.\nAnswer: -1882, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 7. Let z be q(4). Suppose 58 + 77 = z*n. Calculate the highest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/((-25)\/5) + (0 - -36625) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2 - 0. Suppose 5*o - 1 = 3*t + 2, 3*t - 27 = -5*o. What is the remainder when (1 - (c + 0)) + 2 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*t - 11 - 4, -35 = -5*t - 5*c. Let p be (2 - 1) + (9 - 0). What is the remainder when (-104)\/(-10) - (-6)\/p is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394 - 784 + 390 - 225*u)*(3*u + 6*u**2 - 3*u).\nAnswer: -1350*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 225385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.7. Let v = -445 - -446.77. Let u = v + 0.23. Which is the biggest value? (a) w (b) -4\/7 (c) u (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1026780 and 5450?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115382 divided by -58.\nAnswer: 57691\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*b - 7 = 0, 3*i + 2 = 2*b + 18. Suppose -q = -5*l - 2568, 6*q = 8*q - i. Let g = l - -744. What are the prime factors of g?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13402 + -13402. Suppose h - 2*h = 9. What is the smallest value in 2, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 321998?\nAnswer: 3541978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270816276?\nAnswer: 2, 3, 73, 173, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -15*x**3 + 4675*x**2 + 144090*x + 139400 = 0.\nAnswer: -82\/3, -1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l. Suppose -4*q - q = -15. Let c(k) = -2*k + 2*k**3 - 4*k**3 + 6*k + 7*k**q. Calculate 4*b(f) + c(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d - 9. Suppose 23 = 18*q - 75 + 26. Give c(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -29.\nAnswer: 402\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 77 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 511317*d**4 + 22*d**3 - 409530404*d.\nAnswer: 6135804*d**2 + 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 46 = -5*o + 24*j, 2*o = -5*j + 31. Let c(a) = a**3 + 8*a**2 - 10*a + 20. Calculate the remainder when c(-9) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.853 + 0.147. Let l be ((-56)\/30 - -2)\/(4\/(-12)). Which is the smallest value? (a) -5 (b) f (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2. Let w(c) be the second derivative of -97*c**4\/12 + c**2 + 3456*c. Calculate p(w(t)).\nAnswer: 28227*t**4 - 1164*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -357, -1297, -2855, -5025, -7801, -11177, -15147?\n\"Answer: d**3 - 315*d**2 - 2*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 280, 7 in descending order.\nAnswer: 280, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*y - 134*y = 8. Suppose f + 2*q - 15 = -3, 12 = 3*f - 2*q. Calculate the smallest common multiple of y and f*2 + 2*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -208\/67, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 8*z + b - 22, -b - 10 = -3*z. Suppose -z*i - 8 = -5*p - 122, 4*p = -i - 87. Let o = 24 + p. Calculate the greatest common factor of o and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4144 + 4172 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 49. What is the closest to 0.5 in -0.2, -2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y - 5. Let i be d(3). Suppose -9*v + 12*v - 46 = -2*t, -4*t + i = v. Calculate the remainder when 104 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346921880 a multiple of 4456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 25869067.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*u - 2*x, 3*x - 6 = 4*u - 37. Suppose o - 92 = -u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -3\/5 (c) 0 (d) -43\/9 (e) -41 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3\/4, -3 in descending order.\nAnswer: 4, -3\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 5*s - 2. Let x(d) = 6*d + 132 - 70 - 60 + 5*d**2. What is -6*g(k) - 5*x(k)?\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76\/(-8) + 9 + 27222\/4.\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*u**5 - 3*u**2 + 28 wrt u?\nAnswer: -6720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 4*x**2 + 0*x**2. Let j(f) = 7*f**2. Determine s(j(y)).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -36, -85, -160, -267?\n\"Answer: -c**3 - 4*c**2 - 10*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(12\/52)*(-1 + 4) - -28.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -427\/3, 64, 21 in descending order.\nAnswer: 64, 21, -0.4, -427\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*u**2 + 89*u**2 - 4*u**2)*(-8 - 3 - 1) - 2*u**2 + u**2 + 3*u**2 + 0*u**2 - 4*u**2 + 0*u**2 in the form i*u**2 + y + z*u and give i.\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2. Let f(n) = 57*n**2. Give f(v(o)).\nAnswer: 2793*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 493517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.1 - 6.1. Let z = 32 - n. Put -3, -0.1, z in descending order.\nAnswer: z, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.2 - -5. Let s = -397 + 632. Let w = s - 2117\/9. What is the third smallest value in f, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 889, 1406, 1965, 2566, 3209?\nAnswer: 3894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -7 - 6 - 27*z**5 + 46*z**5 - 3 + 240*z**4 + 8*z + 35*z**5 + 358*z**3 + 196*z**2 = 0?\nAnswer: -2, -1, -2\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1881000044?\nAnswer: 2, 7, 11, 157, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.248 - -143.752. Let d = f - 142.28. Round d to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/80)\/(30\/8)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3851\nAnswer: -1155.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5*4\/(-20)*8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, b: 3}. What is prob of sequence buu?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22133033 + -333?\nAnswer: 22132200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:55 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/65? (a) -0.4 (b) -664 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172712 is divided by 2699?\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5652568 + 83?\nAnswer: -56524a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833229609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1721*s - 100533 = -2802*s for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3\/(-3)) - (201 - 227). Solve -f + 5*f - q - 11 = 0, -f + k = 4*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011211 - -1000?\nAnswer: 10012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-14) + ((-2907608)\/7864416 - 1\/(-9)) and -39\/166.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) 2\/5 (c) 48 (d) -1 (e) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 - 5*s - 11. Calculate a(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304 or -30504?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 176\/870 + 124\/(-930). Which is the third smallest value? (a) h (b) 0 (c) -0.079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 331*h**3 - 412*h**3 - 588*h**3.\nAnswer: -1331*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2168, -2188, -2212, -2240?\n\"Answer: -2*l**2 - 14*l - 2152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 3, f: 1, u: 3}. What is prob of sequence uxuf?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/((-40)\/(-1954960)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/5240 and 47\/56?\nAnswer: 36680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 + (-8 - 0) + 17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 497194602*z**2 - 241804985.\nAnswer: 994389204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2148, 2133, 2122, 2115, 2112, 2113, 2118?\n\"Answer: 2*o**2 - 21*o + 2167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -0*i. Let n(x) = x + 2. Let o(z) = 2*z + 3. Let h(u) = i*n(u) + 2*o(u). Let y(d) = -3*d + 1811 - 3626 + 1815. Give y(h(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 365918243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 11*x**2 + 73*x - 10. Let o(r) = -2*r**2 - 2. Calculate m(j) - 5*o(j).\nAnswer: 2*j**3 - j**2 + 73*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.97 - 0.03. Suppose 27 + 21 = 4*s. Let c = -3 + 3.1. What is the third biggest value in c, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -17. Suppose 0*m**5 - 6*m**v + 2*m - 2*m**5 + 4*m**2 + 2*m**4 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-7))\/12*2*((-98)\/(-255))\/(-14).\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.13 - 0.13. Let k = 20 - 38. Let f = -14 - k. Which is the biggest value? (a) s (b) -0.05 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 117300, -3, 4 in increasing order.\nAnswer: -21, -3, 4, 117300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16*a + 3167798 = -17*a, -3*p - 2*a + 4751697 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-60))\/((-2)\/(-3))*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6, 0 = 2*x - 5*r + 10*r - 23. Calculate the remainder when 581 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -11 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 39 + 40*i**2 + 17.\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 2:22 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = 4*c + 16, 76*c = 153*c - 75*c - 3*j + 64 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -2*m**7\/35 + m**5\/4 + 2067*m**4\/4 - m**3\/6 + 11*m**2 - 3*m - 61. What is the second derivative of p(k) wrt k?\nAnswer: -144*k**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*r**5\/3 + 544*r**4\/3 - 214*r**3 + 136*r**2\/3 - 8*r\/3.\nAnswer: -2*r*(r - 2)**2*(8*r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498221 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1 (c) 47 (d) 0.03 (e) -5\/3 (f) -3 (g) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4\/5*w**2 + 0 - 4*w = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/20 - g**4\/12 + 4*g**3\/3 + 9*g. Let w(y) be the second derivative of n(y). Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2 - 1756*v - 10329. Calculate p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2*r - 2*r + 1 - 1 - r + (-3 + 2 + 0)*(0*r - 2*r + 0*r) + 2*r - r + 0*r)*(3*r - 3*r - 2*r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from zvzczzzzuzzz.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 0 (c) 2.69 (d) -1188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -34. Let q = 1 - 2. Let f = r - q. Solve -z + f = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (266\/133)\/(1*(-2)\/15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1129 or 907?\nAnswer: 1129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0)\/((-2)\/654). Let a = p - -8819\/9. Is a < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 - 7405*w**2 + 7406*w = 0.\nAnswer: -7406, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4857 = d, 0 = -4*d + 5*l + 4804 + 14519. Does 118 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 52) + (70 - -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/3 - 547*g**4\/3 + 13538*g**3\/3 - 94522*g**2\/3 + 150623*g\/3 - 69091\/3 = 0.\nAnswer: -571, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3176 and 25336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 82, 221, 424, 691, 1022?\n\"Answer: 32*s**2 - 21*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**2\/4 - 1116714*z - 1488951\/4 = 0 for z.\nAnswer: -496317, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1074 divide 41148587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 29*k + 7*k + 10*k)*(-1 + 1 - 2) + 4*k - 5*k - 6*k.\nAnswer: 17*k + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7)\/((-4539)\/2796024)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 166 + 5984 = 0. Round v to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1300)*-3*2)**2 + (sqrt(1300)*-3*-5)**2 + -4)*-2.\nAnswer: -304192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 54*b**2 + 2*b - 7. Let z(v) = 97*v**2 + 3*v - 12. Let k(h) = 9*q(h) - 5*z(h). Let f = -3 + 5. Determine k(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -16210 - -25267. Is 2\/(-18)*-6 - o\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 785 and 15857?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 4. Is v less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 0.12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**5\/7 + 303028*y**4\/7 - 2870546020*y**3\/7 + 18642264800*y**2\/7 + 4712488704*y + 11474307072\/7 = 0.\nAnswer: -1, -1\/2, 8, 18936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 10568.\nAnswer: 73976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2 + 2)*(-6*f + f + 2*f) + 19*f**3 - 2*f**3 + 4*f**3 + (-4 + 0 + 2)*(2 - 2*f**3 - 2) - 3*f + 3*f - 2*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/7, -3\/2, 13, -13, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7010881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 7*y + 17. Let n be p(-8). Suppose 5*j + a = 5, -a + n = 2*j + 4*a. What is the closest to -1 in -8, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1469*u = -1452*u + 2902*u + 1013593. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:19 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 93 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 2, -8, -0.4, 1\/2, -43, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 135. Find the second derivative of -j + 53 - 26 - 2*k + 14*k**2 wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(-7) - 10\/(-35). Suppose 0*u + 4*u = -b*m + 38, -2*u = 2. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.1. Let n = 389\/1995 + 2\/399. Sort n, z, 2\/13 in ascending order.\nAnswer: z, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7459574, -14919142, -22378704, -29838260, -37297810, -44757354, -52216892?\n\"Answer: 3*t**2 - 7459577*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1142, -2254, -3376, -4514, -5674, -6862, -8084?\nAnswer: -9346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:47 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 688, 3740, 9156, 16936, 27080, 39588?\n\"Answer: 1182*n**2 - 494*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*r = -2*i + 8, -4*i + 5*r = -160 + 144 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*32\/168*-7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50 + -42395?\nAnswer: -42345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873993.\nAnswer: 3, 229, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 8. Let l be 10\/4*(-3)\/((-75)\/(-40)). Determine t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 2:12 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-253)\/11 + 7 + 4 + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 5*h = 4*n - 28, 8*h = 4*h + 2*h - 32*n - 82 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11048467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Suppose 4*s = n*s. Suppose 0 = b + 3*b + 5*t - 104, 2*b + 3*t - 52 = s. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54990 not equal to 54998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 9*f**2 + 6*f + 21. Let a be k(-6). Let l be (a\/6 - 2)*80\/1. Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/22 and 81\/15026.\nAnswer: 15026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3110 and 327313505.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*f + 53*f + 4*s = 12, f = 3*s + 11. What is the biggest value in -36, -3, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515 divided by 2\nAnswer: 515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-3) + 20608\/96 is divided by 2 - 26\/(-2) - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -585, -586, -587, -588, -589, -590?\n\"Answer: -p - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -54*b - 194. What is w(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33328 or 3099443\/93?\nAnswer: 3099443\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1938587417 and -5.\nAnswer: -1938587422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5760)\/(-1024) - 5\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/3 of a year?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2514, -12340, -28712, -51624, -81070, -117044, -159540, -208552?\n\"Answer: b**3 - 3279*b**2 + 4*b + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -564*x. Let p(l) = 135331*l**2. Give p(y(i)).\nAnswer: 43048249776*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 36*l**2 + 6*l + 12. Let j be (-6)\/3 + 6 - (5 + 1). What is the lowest common multiple of s(j) and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, j: 3, l: 3, t: 2, p: 1, x: 3}. What is prob of sequence lpt?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111 (base 2) in base 14?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 7. Let a = d + 11. Let y be (1\/a)\/(6\/27). Is y not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = -q. Let a(f) = -227*f - 3073. Calculate the remainder when a(-14) is divided by (q\/(-2))\/(2\/(-108)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3739105\/12 or 311591?\nAnswer: 3739105\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*a**3*l**3 - 6*a**3*l*u**2 + 312*a**3*u**4 - 2*l**3*u**3 + 2*l*u**2 - u**4 wrt u.\nAnswer: 7488*a**3*u - 12*l**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58162 and 14.\nAnswer: 407134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/96*((-1960)\/35 - -44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1101 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/288 and -44\/3.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1216 - 4995*t**2 - 12282*t + 12281*t + 643 wrt t?\nAnswer: -9990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 5 - (5 + -1). Let f(q) = -7*q + 8. Let z(x) = -13*x + 15. Determine t*z(y) + 11*f(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 + -3 - 0 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1125\/55)\/(-25)*4\/(-9).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-16)\/6*2. Suppose -5*x - 2 = -17. Let z(q) = -4*q - x*q + i*q. Let v(w) = w**2. Calculate z(v(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526 - 265 - 6*q + 457 to m + f*q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -377*s + 414*s. Solve -s*a + 9 = -9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Find the third derivative of -3*q**y + 4*q**2 + 12*q**3 - 9*q**3 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3777 + 3027 - 5173)*(1 - 3 + 0)*(-1 + n**2 + 1) + (5*n - n - 2*n)*(n + 0*n + 0*n) + 3*n**2 - n**2 + 0*n**2.\nAnswer: -3258*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/32, -26, -1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14977288 or 10?\nAnswer: 14977288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 21066 + 269024. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12*v**2. Let p(u) = u**2. Determine z(p(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*g + 2*g - g)*(-2 - 3 + 0 + (-2 + 2 + 1)*(-3 - 3 + 4)) to the form h*g + s and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -0.1, -3 in descending order.\nAnswer: -0.1, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 3*t**2 + 0*t**2 + (-1 + 1 - 2*t**2)*(0 - 4 + 3) + 53*t**2 + 126 - 126 - 2*t**2 + 3*t - 3*t - 3 + 3 - t**2 + (1 + 0 - 3)*(2*t**2 - 2 + 2).\nAnswer: 47*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 equal to 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**5\/35 - 2*a**4\/21 - 2*a**3\/21 - 18*a - 27. Let t(i) be the first derivative of p(i). Factor t(g).\nAnswer: -4*g*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2\/5 + 80*f + 404\/5 = 0. Calculate f.\nAnswer: -1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 20*f - 33. Let b = 7455 - 7437. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 33*i - 41. Is c(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*(-2 + 3 + 0)*(2*n - 2*n - n) as b*n + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 7)\/(-3 + 6 - 4). Let t = n - -6. Calculate the remainder when 216 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 10, -2\/5, 12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -2746044?\nAnswer: -2746026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 16) in base 11?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2253479 - 1490218. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**3 - 3*j**2 + j + 2*j**3 - 1. Suppose -5*b - 4*r = 19, 0 = -2*b - 3*b + 2*r - 13. Let d be 10\/35*(b\/(-3) - -6). Give l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -0.5, 0.3, 84, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose -3*d - r*d + 3 = c, 5*c - 4*d = 15. Let f be (0 + 1 + -5)*-2. Solve c*s + 17 = 5*z, -2 - f = -2*z + 2*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 4*m - 1. Let k(z) = 3*z**2 - 12*z - 4. Let l(x) = 11*g(x) - 4*k(x). What is l(8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*m - 16*m - 5 + 5.\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixkkkxzxkikxxkiikx. Give prob of sequence ix.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 17*f - 22*f. Let v(a) be the first derivative of a**2\/2 + 18*a - 5. Let p be v(-14). Solve f = -p*n - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 25416.\nAnswer: 1\/25416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 78*j + 22 - 21 - 23*j.\nAnswer: -86*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -480, -470?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5.5, -0.1, 2.3, 0.5 in ascending order.\nAnswer: -25, -5.5, -0.1, 0.5, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*470.53\nAnswer: 1882.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*o + 27 - 142, 56 = 2*o - 2*m. Suppose 2*q - 5*v = 7*q - 15, -5*q - 3*v + 7 = 0. Is 10 a factor of 10\/(-10) + o + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/8 - 4037*x\/8 - 2017\/4 = 0. What is x?\nAnswer: -4034\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 20*x - 34. Let s be d(-18). Let n be 5 + 427\/49 - s\/(-7). Let f(t) = t**2 - 10*t + 34. What is the tens digit of f(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1092*k - 1233*k - 2904*k + 1738*k - 4016*k to the form a*k + x and give a.\nAnswer: -7507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f + 18*f + 3*f + 10. Let x(r) = 22*r + 9. Let q(y) = -3*v(y) + 4*x(y). Let t(p) = 50*p + 13. Let s(j) = 5*q(j) - 3*t(j). Differentiate s(l) wrt l.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9415*u - 236 = -9418*u + 5*j, -127 + 440 = 4*u - 5*j for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 4. Let c be 1 - (3 + -8)\/(-5). Suppose c = -4*v + 3*h + 5, 2*h - h - 10 = -v. Suppose -2*a + 43 - 11 = v*y, 4*a - 36 = -3*y. Determine j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -0.5, 1\/7, -18\/5, -3\/8, 1.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54266 is divided by 54172?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*d = -3 + 1, 2*a = 4*d + 26 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.328 or -0.1569?\nAnswer: -0.1569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 18396?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873753770 to the nearest integer?\nAnswer: 29559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074467151 and 2097.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63919.\nAnswer: 41, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-3 - -4) + -2. Find t such that i*t**5 - 1 - 4*t**3 - 17*t**2 - 1 + 4*t**4 + t**2 - 14*t - 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 <= -522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -130. Suppose -7 + 0 = -3*n - z, q = 2*n + 3*z - 7. Let t(x) = -x**3 + 5*x**2 + 8*x + 1. What is the remainder when t(6) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10625\/340*(-2)\/20)\/(-5)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqa when four letters picked without replacement from {q: 11, a: 3, v: 4}.\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350\/11 - -3172\/99. Is 387 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/24)\/(1\/98). Which is smaller: 9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqvv when four letters picked without replacement from {z: 1, c: 1, q: 7, v: 6}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 14*p + 28. Let i be n(2). Suppose 10*r - 1810 + i = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(16) + sqrt(16) + sqrt(128)\/(sqrt(56)\/sqrt(7))))\/((sqrt(8)*2 + sqrt(8) - sqrt(8))*5 - sqrt(48)\/(sqrt(6)*-1)).\nAnswer: -12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -df0 (base 16) to base 13.\nAnswer: -1816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*q = -5, b = q - 2*q + 10. Suppose 0 = f + 4*y - b, -2*y - 4 = 2. What is the greatest common factor of 136 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.263 - -0.183. Which is the closest to -0.1? (a) 0.05 (b) w (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-10))\/((-129)\/215)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3450*l - 5304*l + 3 + 2533*l - 3 to the form q + n*l and give n.\nAnswer: -6221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19205218.41 rounded to the nearest 100000?\nAnswer: 19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22193, -22210, -22227?\nAnswer: -22244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/9 - 68*x\/9 + 23\/3 = 0?\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*h + 154*h - 3760*h - 476353 = 26077 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 25476*u**2 + 40754556*u + 605599740 = 0.\nAnswer: -3177, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-3\/5)))\/(g*g**(-6)))**(-4) assuming g is positive.\nAnswer: g**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5072712 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 153 = -69 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**3\/3 - 5*p**2 + 8*p - 22. Suppose -4*a + 4*s = 24, 3*a + 0*a + 2*s = -43. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1107309 by -469.\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2615241*g**3 + 2505460?\nAnswer: 7845723*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415831 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 215 (b) 19 (c) 1412 (d) -4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - 2*w**2 - 9*w - 6. What is the units digit of k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 + 11*a**2 + 29 wrt a?\nAnswer: 8*a**3 + 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-12)\/(-16)*1. Suppose w*s - 47 = 2*s. Round s to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let m(b) = 0*b + 3 + 2*b - 2 + 2. Let w = 17 + -15. Suppose 7*z - 6*z + w = 0. Give z*m(j) - 5*x(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2422 = -2*w + 2*p, w + 9*p = 5*p - 1216. What is the tens digit of (-8)\/(32\/w) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3476, -2?\nAnswer: 3476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/228*(286\/28 - (-4)\/8). Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**3\/7 - 36*x**2\/7 + 4*x\/7 + 24\/7.\nAnswer: -4*(x + 1)*(x + 2)*(4*x - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11658 - 10006. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-191646)\/(-1197) + 0 + 2\/(-19). What is the highest common divisor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 8 - 11)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 0 - (1 + -1 + -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18821411 not equal to -18821411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665*775.\nAnswer: 515375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 1.6955. What is v rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.221 + 100.779. Let k = -100.99926 + g. What is k rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109957 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:51 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/45 - ((-16)\/3)\/4) + 1680\/(-48).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o + 108. Let i be a(16). Calculate the greatest common factor of i and 684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/((-10)\/6). Let v be (-16)\/(-33) - (-6)\/(-9). Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 16*u**3 + 7*u**2 - 6*u. Let d(j) = -11*j**3 - 5*j**2 + 4*j. What is 7*d(t) + 5*g(t)?\nAnswer: 3*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 2*u**2 + 6*u + 8. Let o be 6\/8 + (-156)\/(-48)*1. Give f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 7413*i - 14819. Calculate m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 2 = 22*n - 39*n. Put -3, -13, n, 2 in decreasing order.\nAnswer: 2, n, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 - 17*p - 24. What is the lowest common multiple of 1474 and v(-6)?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m - 12. Let l be d(4). What is the tens digit of ((-6704)\/(-26) - l\/(-78))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29336*j - 29269*j - 2881 = 0 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60280 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 13*s**4\/6 - 23*s**2 + 169. Let w(i) = 17*i. Let t = 13 + -16. Determine t*f(r) + 10*w(r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 20*o**2 + 8*o - 60. Let c be m(20). Let r = -11 + 51. Calculate the highest common divisor of r and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1580972 is divided by 526988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 + 150*p**3 - 132*p**2 - 726*p - 441 = 0.\nAnswer: -1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -1 - (9 - 1) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913281 is divided by 11002?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939803395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p - x = -5, -3*p + 29 = -5*x. Let y = -8 - -5. Let z = y + p. Solve f - 3 + z = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 62744*f\/3 + 8055320.\nAnswer: 2*(f + 390)*(f + 30982)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2*o + 5*o + (-3 + 6 - 4)*(o - 2*o + 0*o))*(-21 - 16 + 21) in the form u*o + i and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17565271 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + 121\/(-22) - (-2)\/(-4). Sort a, -254, -3, 0.\nAnswer: -254, -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288) + -4)**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {v: 2, j: 7, h: 3, t: 1, i: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, -5, -17\/81, 55 in ascending order.\nAnswer: -5, -17\/81, 55, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9*h - 35 = 0. Let i(o) = 2*o**2 - 2*o - 4. Let p be i(-3). Suppose -p = 5*a - 75. Solve -h*b - a - 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17*-1*(-1 - 0). Suppose 2*a + 2 + 0 = 2*h, -3*a - 2*h = -i. Is (5\/a)\/(2\/186) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 + 6)*(-7*h - 5*h + 442*h**2 - 2 - 446*h**2)*(-2 - 1 + 4).\nAnswer: -60*h**2 - 180*h - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = 10. Let d = m + 1. What is the units digit of 16\/(-10)*d\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33826 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 21 - (-1)\/((-5)\/95)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n**2 + 1 + 3 - 2)*(0 + 2 - 1).\nAnswer: 16*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1900) + 2 + 5 + sqrt(1900) + (sqrt(1900) - (2 + ((-2*sqrt(1900))**2 - sqrt(1900)))))*6*-1*-6.\nAnswer: -1093680 + 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111948 is divided by 629?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n**2 + n - 2. Let i be r(-3). Let k be 24\/(-10)*60\/(-9) - 2. Suppose -k = -i*x + 14. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100 (base 2) to base 9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 + 146*t**2 + 563*t - 121. Give g(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 49. Let h be n(-20). Let c = -9 + h. Solve c*b + 9 = 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpuuuprrprprurrrr. Give prob of sequence pu.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (16 - (-6 + 0)) + -17?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 12, 17, 22, 27?\n\"Answer: 5*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 + 21*q + 46. Calculate j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12368 - -12344. Which is the third biggest value? (a) 8 (b) -0.4 (c) -2\/3 (d) i (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189355549315 + -3.\nAnswer: -189355549318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.06 - -0.14. Let o = -1 + b. Let i = -72.23 + 73.23. Sort i, o, 0 in ascending order.\nAnswer: 0, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674 divided by 674\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -86*i + 2. Let s be 20\/12 - (-1)\/3. Let f be q(s). What is f rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + x**3 - 2*x**3 + 21*x + x**3 as u + q*x**3 + y*x**2 + c*x and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -17, -79 in ascending order.\nAnswer: -79, -17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -554502?\nAnswer: -8\/277251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -226246 and -0.0723?\nAnswer: 16357.5858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h + 7. Let p(d) = 4*d + 3. Suppose 226*t + 20 = 222*t. Let g be (t*2 - (26 - 29))\/1. Determine g*p(k) + 3*x(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 10*v - 7. What is r(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21214185 (base 9) to base 14.\nAnswer: 15024d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = j + j - 2*u, -2*u = -4*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 1184.\nAnswer: 1184.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113282617 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5391 is divided by 2683.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1627*j*p**2 - 15897*j*p + 2*j - 6926*p**3 + 3*p**2 - 565*p - 1 wrt p.\nAnswer: 3254*j - 41556*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1)**(-1\/51)*(x*x**(-2\/7)\/x)\/(x*x**(-3)))**(-49) assuming x is positive.\nAnswer: x**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-364)*-8*1\/1.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207203, 207216, 207229?\nAnswer: 207242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42429952 divided by 67136?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) -0.1 (d) 62\/9 (e) -0.08438\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzdwwdwdwwzzzzwzz. What is prob of sequence www?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10001000011 (base 2) to base 4\nAnswer: -101003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 8 = 2*d, 1571421*d - 1571421*d - 4*o = 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2368844082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054796015 to six decimal places.\nAnswer: -0.00548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755 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: What is 279373343494 plus 6?\nAnswer: 279373343500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*m - 246*m + 4312321. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 12*r + 3*r**3 + r**4 - 14*r + 15 to the form z*r + g + i*r**3 + v*r**2 + b*r**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 72\/(-2)*12\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001353055 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -493 - -676. Suppose 105 = i - 2*i. Let d = j + i. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200 - -222021012000?\nAnswer: 222021002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 28496456*r + 101506000569992.\nAnswer: 2*(r - 7124114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2*5)\/(sqrt(11) - sqrt(22)\/(sqrt(2) - -3*sqrt(2))))**2.\nAnswer: 6400\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-60)\/(-3)))\/((-8)\/(-5))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/26 - (-8)\/(-52). Suppose 2*n + 6 = -j*n. Let g be (n\/15)\/(10\/(-25)). What is the biggest value in -3\/4, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/3*10\/90.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 7*l - 17 + 41.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37978*l**4 + 2*l**2 - 34827*l?\nAnswer: -911472*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u - 47*u + 5*u)*(6*u - 2*u - 2*u)*(-25*u + 7*u - 8*u).\nAnswer: 1508*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/30 - 7*w**4\/8 + 20*w**2. Let m(u) = -3*u**2 + 21*u. Let g(x) = 6*i(x) + 5*m(x). Determine q so that g(q) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**(-12)\/(m\/((m**(4\/7)*m)\/m*m)*(m**6*m)\/m) assuming m is positive.\nAnswer: m**(298\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:54 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 + 2.5. Let h be 9\/6*(2 + 0). What is the nearest to 1\/2 in w, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 8 = -29*w + 4*h, 0 = 3*w - 5*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/2 - 4*o**3 + 9*o**2 - 8*o - 19. Suppose p(g) = 0. Calculate g.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 0.15. Let u = v - 0.1. Let h = u + 4.88. What is the second smallest value in -3\/5, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -235, 0, 5, 19, 3, 106 in ascending order.\nAnswer: -235, -2, 0, 3, 5, 19, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 2*w = m + 6, 0 = -2*m + w + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-8) - (-1 + 6\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z + 5. Let v(g) = 2 + 4*g - 6 - 3*g + g**3 - 5. Give -3*v(a) - 5*y(a).\nAnswer: 2*a**3 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*1 + 1002\/(-334) + 17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27 - (-439)\/(-9). Let z(l) = l - 34. Let w be z(0). Let y = w - s. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(325) - (sqrt(325) + sqrt(325) + -2*sqrt(325) + -5 + sqrt(325)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*c + 361*c + 2232 = 0 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -921\/5 and -2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, e: 2, i: 3, t: 3}. What is prob of picking 1 a and 1 e?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 + 1077274*w**2\/3 - 12926640*w + 116337816 = 0. What is w?\nAnswer: 18, 538601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1433 divided by -149714\nAnswer: 1433\/149714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q - 82 + 38 + 44.\nAnswer: -71*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*(-7)\/42)\/(10\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1352076 or -1352080?\nAnswer: -1352080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/287 - 33\/287. Which is the biggest value? (a) 1\/2 (b) x (c) -5 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*r - 640, -805 = -4*f + 2*r - 165. Suppose 5*j - f = -0*j. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 2*h**2 + 3*h**2 + (-1 + 0 - 1)*(-h**2 - h**2 - h**2) - 8633 - 53*h - 2*h**2 + 8633.\nAnswer: 5*h**2 - 53*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40786.\nAnswer: 2, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-319))\/((-302)\/(-1661))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from {h: 5, s: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117856383 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 83 + 28. Suppose 3*j = -3*k + 21, -4 = 4*j - 2*k - 44. Let l = j - -4. Calculate the remainder when z is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*t**3 - 251*t**3 - 254*t**3 - 79*t**3 + 5 - 5.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 84, 121, 160, 201?\n\"Answer: d**2 + 32*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayaa when four letters picked without replacement from qyqaqyaa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 119\/42 - (-1)\/6. Suppose 1 + 13 = 181*f - 174*f. What is the second smallest value in -0.3, 4.2, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-14))\/(3019\/(-84532)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/9)\/((-2)\/96). Let x = -7 - -12. Suppose -30 = -x*t + 70. What is the highest common divisor of t and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 9*v + 2. Let p = -192 - -201. Let n be a(p). Suppose 1\/3*w**n + 2\/3 + w = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-1 + 2 + sqrt(432) - (-3 + 0 + sqrt(432)))*3)**2*-4.\nAnswer: -16452 + 4320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/4 - j**3\/6 + 2*j**2 + 12*j. Give z(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409236619 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: b\"What is the ith term of -2091106, -4182212, -6273322, -8364436?\n\"Answer: -2*i**2 - 2091100*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 862.938 micrometers in millimeters?\nAnswer: 0.862938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1197\/(-28))\/(2\/(-8)). Suppose -7*m + 3*m = g - w, 2*g + 2*m = 330. Suppose 83 = 6*z - g. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/16*228\/(-190)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 59, -5, 18, -4, -3.\nAnswer: -24, -5, -4, -3, -1, 18, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -16. Let a = -9 + p. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:34 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(14 + 1008\/(-70))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2\/3*d + 2\/9*d**5 + 4\/9*d**2 + 0*d**4 - 8\/9*d**3 - 4\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (113 - (-1 + 1))\/(-1). Let p = k - -42. Let c = 95 + p. Solve -4*b - 10 = -2*h - c, 2*b - 5 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 20 + 20. Suppose -u - 22 = -5*t, 0 = -t - u + 2. Calculate the greatest common divisor of i and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20920*z**3 + 2 + 20922*z**3 + 6 - z**2 + 1 as u*z + c + f*z**3 + o*z**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-9)\/(-2))\/((-5)\/10). Let l(d) = -d + 2. Let i be l(-2). Let v = 0.39 - -0.01. Put i, f, v in decreasing order.\nAnswer: i, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 4. Let q be g(0). Suppose 0 = -2*u - q*h - 60, 7 = -3*h - 5. Let y = -16 - u. Which is greater: 17\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1 (c) 1\/11 (d) -5 (e) 4 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (23 - 22)) + -2 + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*u - 4, -5*a + 2*u + 2 = 5. Let o = a - -1. Are 2\/9 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 15*d - 67. What is m(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 432 = -13*i. What is the highest common divisor of i and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77034542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -181, 2, 0, 121\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1c8d89 (base 16) to base 12\nAnswer: 762a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -463 at least -463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*b - b - 19*b)*(-6*b**2 - 2*b**2 - 7*b**2).\nAnswer: 825*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3560 - -366. Calculate the remainder when s is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -118, -259, -446, -673, -934?\n\"Answer: o**3 - 32*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3671290 and 6086?\nAnswer: 62411930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -262576, -262586, -262606, -262642, -262700, -262786, -262906?\n\"Answer: -r**3 + r**2 - 6*r - 262570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/184 and -151\/144?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086 times -60.573?\nAnswer: -0.5209278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1728 + 1727. What is the nearest to -2 in 5, n, 2\/1131?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in 0.12, -10, -1\/4, 2, -2\/75?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -3\/8, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q + 4*b + 4, b - 7 = -3*q. Let m = -188 + 293. Suppose -g = -q*g + m. Solve -2*f - 15 = -3*f - 4*p, -5*f + 2*p - g = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*i - 2 = 0, -4*h + 3*i + 5 = 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.620598m in millimeters?\nAnswer: 620.598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-25)\/(-3). Suppose k - 4*p - 20 = 0, 2*p - b + 18 = -5*k. Suppose k*y + y = 2. Solve -3*j = y*t - 5, j + t - 3 + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y**3 - 3 - y + 0*y**2 + 1\/12*y**4. Let x(w) be the first derivative of g(w). Let j(h) = -5*h**2. Calculate x(j(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 78 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o - 9*o**2 - 10*o + 9*o - 4*o + 2. Let t be u(-9). What is the highest common factor of t and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 5040.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 4*c + 17 - 5*c to the form v*c + p and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.45 + -1.05. Suppose 4*m + 2 = 6. Let p = -0.7 - -4.7. Which is the third smallest value? (a) m (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**4 + 46*s**2 - 46*s**2 + (-s + 3*s - s)*(-3*s**3 + 4*s**3 - 4*s**3) + (3*s - 4*s - s)*(-s**3 + 2*s - 2*s).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 162191.\nAnswer: 16219.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2. Let y(i) = -17*i + 6. Let o(j) = 2*j - 3. Let b(s) = 6*o(s) + y(s). Let n(c) = 10*c + 20. Let q(a) = -10*b(a) - 6*n(a). Determine q(t(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 25713.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200\/11 in 3, -0.4, 4, 2, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 37, 102, 213, 382, 621, 942, 1357?\nAnswer: 1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = 3*s - 15*s - 34, 2*l - 2*l + 6*l + 2*s = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227101739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87\/4 of a century?\nAnswer: 26100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*w + 12 = 0. Let v be (-3 + 1)\/(2\/w). Suppose 24*x - 20 = 20*x. Solve x*g - 3 = v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -145*d - 891. Let b be q(-17). Which is greater: 1573 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56350+-5325010\nAnswer: -5381360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*r = 45, -k + 2*k + 23 = -3*r. Let j(f) = f**3 + 16*f**2 + 16*f + 2. Let o be j(k). Suppose 3*t + 86 = o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (562*s + 5710119 - 5710119)*(-3*s**4 + 0*s - s + 0*s).\nAnswer: -1686*s**5 - 562*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Suppose 9*y - 12 = b*y. Solve 4*z = 3*z + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3000288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let h(v) = -12744*v. What is h(n(o))?\nAnswer: 12744*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9753 is divided by 3106.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12178 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**2*z**3 + 1967*t**2*z + 33*t**2 - 32914*t*z**3 - z**3 wrt z?\nAnswer: 12*t**2*z - 197484*t*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/294 and -67\/1272873.\nAnswer: 2545746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 20 = 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2258.2 and -0.279302074?\nAnswer: 2258.479302074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7124, 14187, 21250, 28313, 35376?\nAnswer: 42439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44305*n - 44304*n = 9 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 7180*x**2 + 0 - 7218*x**2 + 0 + 33*x to the form p*x**2 + d + l*x and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 1 + (1 - 2 - 1)*(309 - 431 - 420))*(-3*j**2 + 7*j**2 + 0*j**2).\nAnswer: 4324*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1, -3, -5.19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Let m(a) be the second derivative of 3*a**3\/2 - 48*a + 2. Determine i(m(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 12 = 2*p, -65*p + 2*i + 18 = -67*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-2) + 4)\/(3\/24). Suppose -c*l + 182 = -l. Calculate the remainder when l is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/153210 and 37\/15321.\nAnswer: 153210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107410 + 591*l**3 + 11*l - 3*l - 107369 wrt l.\nAnswer: 3546*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 8. Let r be (h + 6)*1\/(-1). Is 21 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 355 - 340. Let a(m) = m + 12 + 13 + 5 - 47 + h. Calculate a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/4))**(-27\/5)\/(q**(-4\/13)\/q*q\/q**(-5\/2)))**(11\/6))**(-44) assuming q is positive.\nAnswer: q**(65461\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 7 = 3. Let m be (3\/(-2))\/(x\/(-8)). Let o(n) be the second derivative of -n**4\/12 - 5*n**3\/6 - n**2\/2 + n. Calculate o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - g**2 + g. Let w(z) = 9*z**3 + 6*z**2 - 6*z + 316. Give -6*c(x) - w(x).\nAnswer: -3*x**3 - 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132502?\nAnswer: 2, 97, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*((-2*x**2 + 2*x**2 + x**2)*(-3*x + 4*x - 2*x) + 5*x**3 - 5*x**3 - x**3).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 3, v: 2, j: 3, n: 3}. Give prob of sequence kk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -c - 16, -c + 8*y + 126 - 289 = -123 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 = -4*f - 3*v, -3*v = -4*f + 17. Solve 6 = -f*b - 2*c, -3*b - c = -0 - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 5, b: 3}. Give prob of sequence bbm.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854800 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmqq when four letters picked without replacement from bbmmbbqbq.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 22 = 11*f. What is the tens digit of (-1 - -11 - 2)\/(f\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4748414 is divided by 402?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, -3\/8, 4\/5, 4, 1560?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 + 38550*o**2 + 154242*o - 192790 = 0. What is o?\nAnswer: -5, 1, 19279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102868685?\nAnswer: 5, 43, 478459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/4 - p**4\/12 + p**3\/2 + 14*p - 166. Let q be (-2)\/((-2)\/(-4) - 1). Let w(t) = t**3 - t. Determine q*w(v) + d(v).\nAnswer: -v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -685 times -5.5?\nAnswer: 3767.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30354, -30155, -29956?\n\"Answer: 199*y - 30553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/11, 0.3, 0.9?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 193. Let w = -16 - -22. Calculate the smallest common multiple of w and n\/4*12\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*t**2 + 206*b**3*t + 2*b**2*t - 1708*b*t**2 wrt t.\nAnswer: 2*b**3 - 3416*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11279 is divided by 1381?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + 2286\/(-24). What is a rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 454 = -6*w - c, 0 = w + 3*c + 222. List the prime factors of 771*1*w\/(-171).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -11. Suppose 0*m + 3*z + 33 = 3*m, 4*m - 42 = 2*z. Solve 3*a - m = g*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1600696021 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006368186 to 6 decimal places.\nAnswer: 0.000637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/147 - d**6\/105 - 3*d**5\/70 + d**4\/42 + 2*d**3\/21 - 5*d - 13. Suppose u(t) = 0. What is t?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**2 - l**2 - l**2 + 0*l**2 in the form z*l**2 + a + j*l and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 23*x + 2 - 6*x - 1 - 15*x. Let t(i) = 11*i**2 + 10*i + 4. Let u(s) = -5*s**2 - 5*s - 2. Let h(l) = 4*t(l) + 9*u(l). Determine 2*h(r) + 5*z(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(0 + sqrt(1216)*1) + 2).\nAnswer: -160*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 5) + 3 + -2. Sort c, 1, -1 in descending order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*j**3 - 34563*j**2\/7 - 1368*j + 660\/7 = 0. Calculate j.\nAnswer: -1\/3, 2\/35, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o. Let k(l) = l**2 + 82*l + 65. What is k(b) - 4*x(b)?\nAnswer: b**2 + 14*b + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-6\/5))\/(z\/(z*z**(-11)))*(z*z**(-3))\/z**(-2) assuming z is positive.\nAnswer: z**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15051 + -15049. What is the fourth smallest value in 2\/173, 2\/5, 0.16, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/7, -0.1, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73981*z - 73984*z - 39 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -0*j. Let m be (6 - -3)\/3 + 33. Suppose j*y + y - m = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8180 and 285823515?\nAnswer: 1143294060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810395 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3647 + -2075. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933657653.\nAnswer: 23, 199, 203989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:32 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 1\/3 (c) -10.5 (d) 1\/4 (e) -18.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18210000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5127 is divided by 2484?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**5\/10 - 5*n**4\/12 - 2*n**3\/3 - n**2\/2 - 2*n. Let w be ((-65)\/(-26)*2)\/((-10)\/6). Give b(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 4*m - 5*c - 30, -5*c = 0. Suppose -5*g + 4*g + m = 0. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/117536 and 151\/144.\nAnswer: 1057824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158929201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1219.54001785 and 1.9?\nAnswer: 1217.64001785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 2*m = 9*d + 60, -13*d = 3*m - 115 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -571*z - 24036 - 7940 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/16 + (-174)\/(-48))*2. Solve -q = 2*h - 6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 21 = -9*a. Let o = a - 0. Let t(c) = 2*c + 5 - 3*c + 6*c**o - 10*c**3 - c**2 - 4. What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 4*q + q + 53)*(1 - 6 + 1).\nAnswer: 12*q + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 6*z + 5. Let a be y(3). What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/134 - 5272104\/10728978\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1\/9, -0.1, -3 in decreasing order.\nAnswer: 18, -0.1, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24797 + -24761. Let j(q) be the first derivative of -4*q - 2\/15*q**3 + v - 11\/5*q**2. Factor j(s).\nAnswer: -2*(s + 1)*(s + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.251 to 1 decimal place.\nAnswer: 142.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:07 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424*y**2 - 420*y**2 - 8*y + 845*y**2 to x*y + a + c*y**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 9*a**2 + 9*a - 12. Let o be r(9). Suppose 64*j + 4835 = o*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -7 + 1 + -4 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -z + 9169, -45853 = -4*z - z - 3*a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 2. Let x(z) = z + 2. Let y(f) = j(f) - 2*x(f). Let t(l) = -2*l + 4. Let h(b) = -8*t(b) - 5*y(b). Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 + 8 = -4*n, -4*y + 2 = -n. Let d(v) be the second derivative of 1\/27*v**3 + 0*v**2 + y - v + 1\/18*v**4 - 2\/45*v**5. Suppose d(b) = 0. What is b?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 40287368.\nAnswer: -5\/40287368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1032.35042 - -0.25042. What is v rounded to the nearest ten?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186998 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -2. Let h = 25 + -23. Suppose k - f = -h*k. Solve -4 = -4*x, -k*u + x + 3*x = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3526 divided by 6919?\nAnswer: 3526\/6919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/66*-3*((-288)\/(-16))\/(-18).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -5*w + 2*z - 12, 3*w + 4*z - 10 = 0. Let n(u) be the first derivative of -3\/2*u**w - 1 + 2*u. Find the first derivative of n(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 996 - 987. Suppose -5*q - 6965 = -5*a, 3*q - 1377 = -10*a + d*a. List the prime factors of a.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.99 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -56, 0, -4, -3, -40\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(-4 + 3 - 2) + (x + 4*x - x)*(4 - 2 - 3) - 2*x - 5*x + 5*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from awwawa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 5*q - 66 = 0. Let m(x) = -x**3 - x**2 + x + 1. Let y(w) = -w**3 - 4*w**2 + 3*w + 1. Let d be (-3)\/2 + 2\/4. What is d*y(t) + q*m(t)?\nAnswer: -2*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 + 92. Let y = -90 + q. Which is bigger: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, -4, -63?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.11 and -3344.1.\nAnswer: 83970.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -389?\nAnswer: 23\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14209*x + 14137*x - 28344*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 62\/3 of a hour?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 3*b = 0, -13*b = 5*u - 9*b. Which is smaller: 12\/5369 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-34)\/(-90)*3)\/((-192)\/87264). Is 62 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -13401?\nAnswer: 13397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1860 and 16585?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -738377.\nAnswer: -66453.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**3 + 863*d**2 + 866*d**2 - 2584*d**2 + 865*d**2.\nAnswer: 14*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/48 - d**7\/7 - 3*d**6\/10 - 2*d**5\/15 - 31*d**2. Solve t(y) = 0 for y.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*y = -21, 0 - 16 = -2*f - 5*y. Suppose 0 = 4*d - 4*l - 16, -d - 4 = 4*d + f*l. What is the lowest common multiple of (-2)\/2 + (6 - 1) and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 18*v - 12*v + 1 - 21*v.\nAnswer: -66*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -71*v**3 - 17 + 70*v**3 - 35*v + 10*v**2 - 29*v**2 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let m = 8 + -6. Let y(q) = -4*q - 5. Let t(c) = -c**2 + 2*c - 2. Let f be t(4). Let i(b) = -b - 1. Let v(h) = f*i(h) + m*y(h). Give v(u(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, f: 2, b: 7, d: 3, y: 1}. Give prob of picking 1 y, 2 b, and 1 f.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**7\/120 + u**6\/60 + 7*u**3\/3 - 2. Let r(h) be the third derivative of s(h). Find the third derivative of r(q) wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120013 (base 8) to base 10.\nAnswer: 40971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b2e - -198d?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -52. Suppose 10 = -2*g + 3*d + t, -g - 2*d = -13. Let j be ((12 - 3)\/g)\/1. Solve j = 4*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2028)\/35880)\/(234\/(-45))\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -334, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -24*n + 16. Suppose n*k + 4*z + 8 = 0, -2*k + 4*z + 8 = -0*z. What is the closest to -3 in -0.2, k, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 8, v: 10}. What is prob of sequence ccvv?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/60)\/(4\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8*c + 70. Suppose 4*m - 53 + 6 = -5*u, 2*u = 3*m + 5. What is the highest common factor of c and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*w - c, -3 = -w + 5*c + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 - 172895821*r**2\/4 - 14407985*r.\nAnswer: -r*(r + 57631940)*(3*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**10\/7560 + y**9\/1512 + y**8\/840 + y**7\/1260 + y**4\/8 - 3*y**2. Let x(w) be the second derivative of l(w). Factor x(c).\nAnswer: 2*c**2*(c + 1)**2*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278611.063 - -278484. Let n = 127 + i. What is n rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4083 - 10277 - 21802 = 369*f for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1872.\nAnswer: -1\/936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-91640)\/(-15))\/(6\/(-15) - 22\/(-30))?\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*m + 5*j = 21, 4*j - 22 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -701416 divided by 172\nAnswer: -4078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 19*x - 85. Let t be o(4). Solve -12 = 3*n + 5*d - 8*d, 0 = -2*n + d - t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.0898 centuries to millennia.\nAnswer: 46.40898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.6916 rounded to one decimal place?\nAnswer: 850.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492163489?\nAnswer: 5743, 259823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 12127*j**5\/60 + 3875*j**4\/8 - 1370*j**2 + j - 1. What is the second derivative of r(h) wrt h?\nAnswer: 24254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1453 - -303?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3230082 and 179\/150120?\nAnswer: 193804920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11\/((-22)\/4) + (252 - 1)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4\/4 - 2*f**3 + 4*f**2 + 7*f + 3. Let x be i(-7). Solve 0 = -x*y - 2*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(8) + 1 + sqrt(2) + 2 + 0 + sqrt(2) + sqrt(2)) + sqrt(10)\/sqrt(5) + 2 + sqrt(2) + sqrt(2) + sqrt(242) + 3 + sqrt(242) + sqrt(2)))**2.\nAnswer: 28512*sqrt(2) + 97668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**6\/3 + 257*q**5\/5 + 518*q**3\/3 + 101. Find the third derivative of z(g) wrt g.\nAnswer: -240*g**2 + 6168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q**7 + 0*q**4 - 23*q**2 + 0*q + 1\/2*q**5 + 0*q**3 - 11\/168*q**8 + 0 + 0*q**6. What is the third derivative of x(k) wrt k?\nAnswer: -1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 3*n**2 - 14. Let m(t) be the first derivative of 2*t**3\/3 - 22. Give m(f(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*f**5 + 234352*f**4 + 51410220*f**3\/7 + 476207024*f**2\/7 + 1083411456*f\/7 - 59424768 = 0. What is f?\nAnswer: -96\/7, -4, 1\/3, 2821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.33 + 0.13. Let w = -0.8 - 4.2. Which is the second smallest value? (a) w (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1028950 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075757325.\nAnswer: 5, 83030293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -28*o + 4*g - 11382, 5*o + 4*g = 28425. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 >= 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -8. What is the units digit of (-191)\/l*-3 + 2\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/291 and -133\/108?\nAnswer: 10476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:43 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/156 and 179\/120.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1278126079175 from 23.\nAnswer: 1278126079198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24641 + -23925. Solve v*p - 725*p + 27 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/((-15)\/(-3))*549\/2379.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 4*t - 7. Let c(x) = 9*x - 2 + 4 + 13 - 4*x**2. Let u(v) = -4*c(v) - 9*j(v). Differentiate u(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 20120221231?\nAnswer: 20120221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - (4\/4)\/(-12 + 11). Let o = 26 + -27. Let l be (1 - 2)\/((-3)\/(-9)). Put x, 3, o, l in increasing order.\nAnswer: x, l, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/61210 + 1300642\/4315305. What is the common denominator of k and 1775\/135*1\/(-5)?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1221189 and 125\/8298?\nAnswer: 7327134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235915*t**4 + 12*t**2 - 6*t + 33 wrt t?\nAnswer: -5661960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16192 is divided by 8016.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2. Let t(a) = -a**2 - 11. Let l(i) = -11*p(i) + 2*t(i). Let m(s) be the third derivative of -s**4\/12 + 2958*s**2 + 1. Give m(l(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70640 and 4084758.\nAnswer: 163390320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 485679*a*w**2 - 374217378*a + 168*w**4 wrt w.\nAnswer: 971358*a*w + 672*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -352, -308, -230, -106?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.095 and -4705194687?\nAnswer: 4705194686.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 3. Let b be d(6). Factor 58*u - 18*u - 165599*u**b + 165634*u**3 + 5*u**4 + 70*u**2.\nAnswer: 5*u*(u + 1)*(u + 2)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(5\/(-30)*-1). Suppose 2*b + r = 211, 5*r = 7*b - c*b + 530. Suppose 0 = j + 4*j - 210. What is the greatest common factor of j and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 92, 168, 278, 428, 624?\n\"Answer: u**3 + 8*u**2 + 17*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 5*v + 2*c, -21*c + 15*c - 31 = -v. Sort v, -15, -3 in increasing order.\nAnswer: -15, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001329114678 rounded to 7 dps?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**3 - 4*x**3 - x**3)*(-17 + 11 - 8) + 1385*x**3 - 358857*x + 358857*x to the form b*x + h*x**2 + z*x**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*m - 12046 = 0, 1384*p - 60176 = 1379*p - m. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99465.96 kilograms to micrograms.\nAnswer: 99465960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 37, 39, 41, 43, 45?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 26*r**2 - 37*r + 230. Calculate v(-22).\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, i: 1, c: 5, u: 1}. Give prob of sequence chhu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 divided by -5?\nAnswer: 513\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d + 15. Let n(p) = 36*p - 17 + 61*p - 101*p + 5. Let k be n(d). Solve 0 = a + a + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = 5*g, 0 = -47*g + 48*g + 2*q + 13. Sort 4, 3, -1, 181, g.\nAnswer: g, -1, 3, 4, 181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1854, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = 2*t - 30, -2*g = 0. Calculate the remainder when 27 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017933ml in litres?\nAnswer: 0.0000017933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 2*o**3 - 3*o**3 + 5*o**3 + 3*o**3.\nAnswer: 3*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 18 + 13 - 5*g + 9*g.\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.2 (c) -10.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8334 - 8333. Does -2\/10359 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9785892 is divided by 12340?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -20, -739, 2\/367, 3.\nAnswer: -739, -20, 2\/367, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 7) in base 14?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7c7b (base 14) to base 9\nAnswer: 32646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/23 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-14 - -8) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 1. Let z(u) = -131*u - 4. Determine -2*s(q) - z(q).\nAnswer: 125*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -104073, -208323, -312573, -416823, -521073, -625323?\n\"Answer: -104250*x + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 245\/(-7) + 7548\/204. Let x(k) = -k + 11. Let a be x(6). Solve -c*t - a*v - 2 = 0, -t + 3*v = -1 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -1. Let d be (-102)\/5*(-5)\/4. Let r = 467\/18 - d. Which is the biggest value? (a) r (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178295*r + 177975*r = -8320 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 25*t**2 + 99*t - 24. Calculate p(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c. What is q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10865 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -14, -34, -62, -98, -142, -194?\n\"Answer: -4*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -644*g**3 - 966*g**2 + 966. Let f(q) = -q**3 - q**2 + 1. Give a(s) - 966*f(s).\nAnswer: 322*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38037 - 38041. Let z = 0.3 - 0.4. Let w = 0.9 - z. Which is the nearest to v? (a) 0.3 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2, 0.1, 0.7, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2057 - -2057.4. Sort 20, 4, k in descending order.\nAnswer: 20, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)\/h)**(7\/5))**35 assuming h is positive.\nAnswer: h**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -519577*x**4 + 3*x**2 - 5792148 wrt x?\nAnswer: -2078308*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 0)*(-3*x**4 + 2*x**4 + 3*x**4 + (2*x + 3*x - 4*x)*(x**3 - 1 + 1) - x**4 + 0*x**4 + 2*x**4).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-10)*(-27)\/54*10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29646 is divided by 93?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = c - 2763, x + 5514 = c + c. Does 146 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2) + 13\/11. Let k = 2 - 2. Let m = k - 1. Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14492 + 14528. Solve -j*s = 2*s - 190 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76100337.\nAnswer: 3, 2818531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-928)\/(-1740) - (1\/(-45) - (-4)\/18). What is the third biggest value in 2, -0.5, i, -12, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 12*o**2 + 15*o + 13. Calculate the remainder when h(-10) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2431*v - 4989*v - 3289*v - 4874*v + 1927*v in the form r*v + i and give r.\nAnswer: -8794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -27, -78, -161, -282?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2 - (11 - 52 - 6)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 31496 = -5*n. Let r = n - 4917. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14484359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (3 - 10))\/((-2)\/(-12))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/8 in 3\/2, 1\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/((-2 - -1)\/(-1)). Suppose -3*u = -4*j + 17, 4*u - 3*j = -0*u - 25. Let p = u - s. Solve -5*i + 15 = 0, p*k + 4 = -3*i - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqssvvspspvysqssps. What is prob of picking 1 s and 1 y?\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: 7, f: 4, v: 3}. What is prob of sequence ff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33\/7 - 5)\/((-1)\/7). Solve -4 = l + 5*b - 13, -3*l = s*b - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3855*c - 4830 = 3818*c - 7603*c for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111683 divided by 11.\nAnswer: 10153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -513, -771, -1029, -1287?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89513830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 9*u + 12. Suppose -2 = -g - a - 0*a, 3*a - 5 = -2*g. Let i = -8 - g. Is 7 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2609, 5221, 7823, 10409, 12973, 15509, 18011?\nAnswer: 20473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 3 - (-69)\/3. What is the highest common factor of v and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 greater than 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10 - 6 + 16*g - 11*g + g**2. Suppose -15 = 4*y - j, 6*y - 2*y + j = -17. Let f be k(y). Solve -o + v = -0*v, o + 3*v = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0699 - 371.0699. Let z = r + 367. Let o = -3.3 + 4. What is the biggest value in z, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24313*i**4 - 31*i**2*v + i - 5912142*v wrt i?\nAnswer: -291756*i**2 - 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 + -6 + -4 + 5 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239127737 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6349 is divided by 1585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 4*t + 3290. Does 40 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from rwwwppwawrrprwwr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - n + 5 = 0, 0 = -n. Is (r\/(-1))\/(4\/(-212)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2) + ((sqrt(3) + 2)*-4)**2.\nAnswer: 112 + 67*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4\/7 + 109815*v**3\/7 + 3*v**2\/7 - 109815*v\/7 = 0.\nAnswer: -1, 0, 1, 36605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375766 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/9)*(m\/(m\/(m*m**3*m)))\/m)\/(m*(m\/m**1)\/m)**27)**(-7\/5) assuming m is positive.\nAnswer: m**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1020*i + 135. Suppose 5*x - 687 = 3*r, 75*x + 5*r - 115 = 74*x. Let z(t) = -30*t - 4. Calculate x*z(a) + 4*g(a).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-5 - -1 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2882 and -5\/2358.\nAnswer: 25938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/18 and -149\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/3 - 264950*k**3\/3 - 529908*k**2 - 3179464*k\/3 - 2119648\/3 = 0.\nAnswer: -2, 264956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -4*z - 19, 0 = 4*y + 8. Let n = 8 + z. Solve 2*i = -x, -5*i - 22 = -n*x + x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/15 - (-34)\/(-85). Let d be 7\/((-147)\/u)*6\/(-4). Find s, given that 0*s**2 + 0*s**4 - 6\/7*s**3 + 3\/7*s**5 + d*s + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57320265986+4\nAnswer: 57320265990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/2 - 9*g**4 - 345*g**3\/2 + 1530*g**2 - 3294*g + 1944 = 0. Calculate g.\nAnswer: -12, 1, 2, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 14, -2\/5, 12898, 0.4 in decreasing order.\nAnswer: 12898, 14, 0.4, 2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*t - 1694*h**2 - t + 5401 wrt h.\nAnswer: 2*h*t - 3388*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 646209789 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*n**2*r - 2015*n*r wrt n?\nAnswer: -196*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265*u**3 + 4*u - 2*u**2 + 276*u**3 + u - 2*u - 2*u**4 + 2 to y + v*u**3 + z*u**4 + i*u**2 + k*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 - 31152*m**4 - 1147552*m**3 - 3131256*m**2 + 1147556*m + 3162408 = 0.\nAnswer: -7751, -34, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/20 and (-515)\/(-44)*(-2)\/5?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, j: 2, m: 2, i: 6}. Give prob of sequence jiml.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -z - 7*b, -z + 3*z = -4*b - 120. Put z, -5, 5 in ascending order.\nAnswer: z, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305570 to the power of 1\/2, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299*p - 295*p + 593*p + 63)*(46*p - 31 + 31).\nAnswer: -46*p**2 + 2898*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/28 - 2484\/6930. What is the biggest value in 4, 1\/6, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1136*y**2 + 5*y - 11. Let o be n(6). Let m = 22877 + o. What is m rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvccccmmhkk. What is prob of sequence mhkv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -2\/1281 (b) -204 (c) 2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**30*d*d**14*d*d**(-1\/7)*d\/((d\/((d\/((d**(-6\/13)\/d)\/d))\/d))\/d*d) assuming d is positive.\nAnswer: d**(4488\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) -2\/13 (d) -2.18 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 42. Let w be z(-14). Solve w = -5*u + 3 - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555 (base 9) to base 16.\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:46 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27804634771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4784\/(-8372)*(0 + 126)\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*4*(-7)\/10. Let g = 26 + r. Calculate the smallest common multiple of g and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3069 not equal to -3064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3185 and 9560395?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3564)*-3 + sqrt(3564) - sqrt(3564) - sqrt(44))\/(sqrt(1152)\/sqrt(8))*6.\nAnswer: 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 6:33 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 112*a**2 - 17*a - 4 + 8*a - 110*a**2.\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2986, 4988, 6976, 8950, 10910?\n\"Answer: -7*j**2 + 2023*j + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akaappvvpkkvkaakojk. Give prob of sequence kakj.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721*y = 725*y + 728. Let m = 524 + y. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 0*f - 889. Let o = f - -255\/2. What is the second biggest value in 0, o, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 3. Let k(z) = -24*z - 235. Let s(l) = -6*a(l) - k(l). Let n be s(-12). Are n and -7\/50 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63203 + 189611\/3. What is m in 1\/6*m**2 + k*m + 1\/2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2498591 is divided by 595.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 - 20*n - 8. Let q be b(-6). Solve 23*f + q = 24*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwmmmcmtmmmttmtm. Give prob of picking 1 c, 1 t, 1 w, and 1 m.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 + (25\/28)\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18348, -18420, -18514, -18642, -18816?\n\"Answer: -2*v**3 + v**2 - 61*v - 18286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 35. Suppose 7*v + x*v = 742. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -145*a**6\/6 - 236*a**3\/3 + 102. Find the third derivative of p(f) wrt f.\nAnswer: -8700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -477 - -484. Let h be (-22)\/(-55) + (-12)\/25. What is the closest to 0.1 in h, v, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**2 + 7*t - 1. Let n(x) = 11*x**2 + 8*x - 1. Let b = 1249 - 1255. What is b*k(y) + 5*n(y)?\nAnswer: -5*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (1 - 8\/2). Put -1, -0.03, d in descending order.\nAnswer: d, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 - 39*j - 1402*j**2 + 3 + 1402*j**2 to a*j + z*j**4 + o*j**3 + x*j**2 + g and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.399 rounded to 0 decimal places?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159 - 4052*a + 4165*a + a**3 + 6*a**2 + 159 to h*a**3 + q*a**2 + k*a + z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9840\/(-43050))\/((-10)\/(-7))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z + 19*l - 15*l, 5*z + 17 = 3*l. Let k be (-2 + (-14)\/(-4))\/(-3). Let u be 9\/(-7) - 2\/(-7). Which is the closest to z? (a) 0 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*i - 13, 7 = -5*f - 2*i + 19. Let b be (1 + 119\/28)*(10 + f). Suppose -2*n - 2 + 16 = 0. What is the highest common factor of b and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319127 divided by 3?\nAnswer: 1439709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 885 + -281. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274866661?\nAnswer: 31, 41124731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 17. Suppose -d = l - 50, d - 2*l - 25 = x. Calculate the highest common divisor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 23. Let x be (-18)\/72 - (-26)\/l. Solve -5*n + 14 = 4*r, -x = 3*r - 4*n + n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -246*k**3*r**4 - 185*k**3*r**2 - 77*k**3 + 4*k**2 + 2 wrt r?\nAnswer: -984*k**3*r**3 - 370*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*p**4 - 52*p**4 - 52*p**4 + (-2*p**2 + 3*p**2 + 0*p**2)*(3 - p**2 - 3) + 4*p**4 - 4*p**4 - 3*p**4.\nAnswer: -145*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*y**3 + 5*y**2 - 21183*y - 8601538?\nAnswer: 33*y**2 + 10*y - 21183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:50 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3 + 12. Is -223*q\/(12\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, t: 7, u: 3, d: 4}. What is prob of sequence du?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -8 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 6*v + 16. Let f be o(8). Suppose -9*b + 8*b + 3 = f. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 + 27*b - 23. Let r be d(8). Solve -5*f = 2*l + 7, 3*l = f - 3 + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/6251 and 30\/91?\nAnswer: 81263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let o = -942.9 + 943.2. What is the nearest to o in -1, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 855*b + 67 + 3.\nAnswer: -855*b + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4 = -5*d + 19, w = 2*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 95 - 1. Suppose 0 = -2*x - 4, 4*a + 4*x + 4 = -0. Let w = a + h. Calculate the remainder when 48 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 240*s - 6194. Give o(26).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -31?\nAnswer: 52\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000226702 to 7 dps.\nAnswer: 0.0002267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/14)\/((-6)\/(-42)). Suppose 0 = 61*c - 33*c. Solve c = 5*h - 0*h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/25 - (-230)\/150)*(3723\/68)\/1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -70 (c) 4 (d) 5 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3 - 3. Is 3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -48, 4, -208 in descending order.\nAnswer: 4, -4, -48, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30692018 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22478841 divided by 1141.\nAnswer: 19701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8 - 25\/(-20). Suppose 3*i - g*o - 260 = -75, -4*i - 3*o = -258. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 + 149. Let s be (6*(-4)\/a)\/1. Let x(o) = o - 2. Let v be x(6). Put s, v, 2 in decreasing order.\nAnswer: v, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**2 + 4*f - 5. Calculate s(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 336 and -3521.\nAnswer: -3185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*q**3 - 64036*q**2 + 64036*q**2 + 74*q**3 - 146*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 5}. Give prob of sequence oss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13) + 2 - sqrt(13)) + sqrt(13) - (sqrt(26)*-1)\/sqrt(2))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5132.41 + -5231. Let q = -98 - k. Round q to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(275) - (2 + sqrt(275)) - sqrt(275))*4 - (-2 + sqrt(275) + 2)) + -2)**2.\nAnswer: 650*sqrt(11) + 7044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*d + 3. Suppose -10 = 3*l + s, 0*l = l + d*s + 6. Let g(i) = -i**3 - i**2 + i + 1. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 + -87. Suppose -4*x + 2*x = -b*x. Solve -4*d + d - 3 = x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*c + 631 + 260, c - 2*u = 297. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 3 - (-14 + -58 - 68).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188 + -123. What is the highest common divisor of 26 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001672693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 0 + 0 - 301*v.\nAnswer: -8*v**2 - 301*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -12, -1.\nAnswer: -12, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15364054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q**2 + q - 131. Let u(i) = 7*i**2 - i + 130. Let x(g) = -4*s(g) - 5*u(g). Let t be x(-12). Solve -5 = -3*r - a, 4*a + 6 = 4*r - t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6316 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 1.10044. Round q to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11 + 1 - b**2 + 2*b**2 - 8*b. Let o(l) = -23186*l + 162306. Let z be o(7). Calculate a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631241 is divided by 92.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (96\/15)\/((183\/(-915))\/((-2)\/(-4)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -3*(-16)\/(-6). Let v(t) = -t**2 + t. Let x(q) = -50*q - 49*q - 48*q + 146*q. What is r*x(m) + 6*v(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**2 - 7*u**4 - 26 - 47*u**4 + 93 + 250 wrt u.\nAnswer: -216*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109.5 + 3577036?\nAnswer: 3578145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1 + (7 - (-10 + 14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 25, -0.03, 0.8, -5 in descending order.\nAnswer: 25, 0.8, -0.03, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 13*b**2 + 33*b - 12. Let w be n(-15). Let u = w - -69. Calculate the highest common factor of 60 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2. Let u(g) be the first derivative of -9*g**2\/2 - 44. Give h(u(l)).\nAnswer: -162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c + -d7?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6 - -3)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -3, -9, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2)\/4 + -491*6\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 57221496.\nAnswer: 114442992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 121\/10 (b) 27 (c) 1 (d) -0.3 (e) 2\/3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.071\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*k - 146*k. Let h be k\/(-9*4\/(-12)). Solve 9 = 2*d + l, 5*d + h*l - 3*l = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23ee + -e8?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.2 - 11.1. What is the closest to u in 0.5, 8, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1024038 > -1024048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p. Let q = -294 + 4701\/16. Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -197 and 7189.272.\nAnswer: 6992.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*x - 49*x - 8455461 = -24901968. Is x a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -137*l + 113. Let j be g(-3). Let a = -434 + j. What is the remainder when a is divided by 54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:24 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217419?\nAnswer: 3, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 5*i**3 + 270*i + 4*i**3.\nAnswer: -i**3 + 270*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116121*t**2 + 58031*t**2 + 58024*t**2.\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6636 - 51?\nAnswer: -6687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4110001 + -404?\nAnswer: 4105153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5.453. Let k = -0.48 + m. What is k rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111.1 - 81. Let m = n - -1.9. Which is the third biggest value? (a) -1 (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-266 + 262)*36\/40.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 140552?\nAnswer: 140552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1299 - 1190 - 1187 - 4*f + 3545 as d + n*f and give d.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*r - 114*r + 656 = -460. Which is the third smallest value? (a) -4 (b) 5 (c) 0.08 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 31230?\nAnswer: 31220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkcgcckkgkccccckkk?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8118129 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 18*r + 4*r**3 - 12 - 3*r**3 + 5*r - 42*r wrt r.\nAnswer: 3*r**2 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.9268 rounded to one dp?\nAnswer: 274.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -557 - 6\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(64)\/sqrt(8)*6 - 3*(-6*(sqrt(32)\/sqrt(2) - sqrt(16)))\/(2*sqrt(648)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(14\/(-4)))\/((-170)\/(-1615))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1105 (base 7) to base 3\nAnswer: -112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 6*h**2 + 3*h**2 + 4*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 105416948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - 286)\/(4\/6*-3). Calculate the highest common divisor of d and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -746 - -1761. Calculate the highest common divisor of 70 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**3 - 2*g**2 - g. Let h(v) = 44*v**3 + 9*v**2 + 5*v. Calculate -9*b(w) - 2*h(w).\nAnswer: 11*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*y - 16 - 4, -4*y = 4*t - 16. Suppose 2*g - 8 = 0, -2*k - 2*g + y*g = -38. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389290813 to the power of 1\/3, to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099365867 rounded to four dps?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -7*g + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 51*h**3 - 10*h**2 - 23*h + 37. Is f(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.21 + -22.5. What is x rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001 - -1010000011010011?\nAnswer: 1010000100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = -5*s + 31, s + o = 7. Solve -9 = 3*z - s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let y(i) = 1120*i - 144. Determine l(y(s)).\nAnswer: 2240*s - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2255 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685 a factor of 19876157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -3*l, -y - 4*l = -2 - 10. Let z be 3\/(-36)*-4 + y. Let g = 349\/6 + -58. Which is the third biggest value? (a) -1\/7 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g + 544 = 514 - 2154 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8830000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*k + 1258*k - 607*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-5 - -4)*(7 + -1596)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(3 + (-198)\/48)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) -0.1 (c) 11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*2 - -1. Let z = m - -1. What is the greatest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**7\/1260 + 47*r**6\/720 - 53*r**4\/6 - 14*r + 1. Let o(n) be the third derivative of z(n). Let u(i) = -3*i. What is u(o(m))?\nAnswer: -6*m**2 - 141*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-4)*16\/(-624)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 11 = 2*v - 3*i, 7*v + 2 = -73*i + 68*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 31. Suppose 20 - 36*g + a*g**3 - 12*g**2 + 2*g**3 + 24*g**2 = 0. Calculate g.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 945948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6085461 rounded to the nearest 1000?\nAnswer: 6085000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 1297 - 12487*m + 12487*m.\nAnswer: 2*m**3 + 1297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11911 divided by -3554.\nAnswer: -11911\/3554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3129, -12632, -28521, -50796, -79457?\n\"Answer: -3193*f**2 + 76*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -140 in decreasing order.\nAnswer: 0, -4, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 5*s**4\/24 - 15*s**3\/2 + 31*s**2. Let v be f(10). Suppose -3*b = n + 2*n - 1122, -v*b = -2*n - 1905. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 x, and 1 t when four letters picked without replacement from rsmxrrhhxrrtx.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46943723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*t - 1506 = 0, -t + 758 + 1486 = -3*d. Let p be (d - 30\/6) + -1 + -3. Round p to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*f + 2\/3*f**2 + 2\/3.\nAnswer: 2*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4644533 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3906900 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 10*a**2 + 6*a - 7. Let l be d(9). Let y = -32 - l. Let n(c) = 3*c**2 - 4*c - 2. Let b be n(y). Solve -2*f - b*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.033\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 35. Suppose -6 = -3*t - 5*z - 31, t - k*z - 10 = 0. Suppose t = -7*u + 9*u - 26. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32514, 2, -0.4 in ascending order.\nAnswer: -32514, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 22*f - 7*f - 63 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**3 + 2402596*w**2 - 25776797 with respect to w.\nAnswer: 6*w**2 + 4805192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776885257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*q - 19*q = 1188. Let m = 53 - 36. Which is the second biggest value? (a) q (b) -1\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34*-21\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 2*f**2 - f + 1. Let c be ((-4)\/6)\/(13\/39). Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 l when three letters picked without replacement from {r: 1, l: 1, c: 1, j: 1, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 110*h + 34 - 113 + 43.\nAnswer: -110*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (14 + 20098\/(-1651)). Is -1 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or -3105?\nAnswer: -3105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*j - 4 = 0. Suppose 5*s = j*s. Let t be (s + -1 + 1)\/2. Solve t = -2*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*a + 20 = 0, z - 6 - 10 = 4*a. Let f(n) = z*n + 8 + 2*n + 3*n - n**2. Let k be f(6). Solve 0 = k*j + 3*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 - 108. Let x = 94 - a. Let l = x - 27.049. What is l rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2236218 + 1?\nAnswer: -2236217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.798 and 4.\nAnswer: 6.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26568501 and 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 500000 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0536527 and -0.5.\nAnswer: -0.5536527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-4\/9)*(t**(-1\/8)\/t)\/t*(t\/(t**(-1\/10)\/t)*t)\/t*((((t*t**5)\/t)\/t)\/t*t*t**(-7))**42 assuming t is positive.\nAnswer: t**(-45529\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042762 plus -104.664337?\nAnswer: -104.621575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2, 5, -1\/899?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1573\/7 + 2\/(-7). Let n = r - 224. Let c = -1945379 - -1945378.9. Is n at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5226*y = 488*y - 1293*y + 176930 + 8752 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + y - 25. Let v(z) = -4*z**2 - 2*z + 26. Let k(t) = -3*u(t) - 2*v(t). Is k(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-25567.3\nAnswer: -3068.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144*z**4 + 857*z**2 - 1740*z**2 + 872*z**2 - 526 wrt z?\nAnswer: -576*z**3 - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216840060 and 2245.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262669 is divided by 18762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98777548 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/40 and 113\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) 1\/4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + 16112?\nAnswer: 16020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13239376*d**2 + 7*d - 469257 wrt d?\nAnswer: 26478752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:21 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1130023475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:35 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 804*h**3 + 1020*h?\nAnswer: 4824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 3*c**6\/8 + c**5\/3 - 15*c**4\/8 - 10*c**3\/3 + 12*c**2 + 5. Factor i(p).\nAnswer: 5*(p - 1)*(p + 1)*(9*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 97, 81, 39, -41, -171, -363, -629?\n\"Answer: -2*h**3 - h**2 + h + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 34. Let g(m) = 5*m**2 - 3*m + 3. Let a(t) = 29*t**2 - 17*t + 17. Determine f*g(n) - 6*a(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 - -115. Solve 4*n = 4*y - 8, -n = 5*y - 2*n - b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 7*y + 2. Suppose 5*l - 4*q + 51 = 39, 0 = -5*q + 15. Let x be s(l). Which is the nearest to -1? (a) -7 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6826853*b*h**2 + 124028*h**2 + 27*h with respect to b.\nAnswer: -6826853*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4978 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 13) to base 2.\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172505?\nAnswer: 5, 34501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5*c**4 - 2*c**3 + 14\/5*c**2 + 4\/5*c + 0 = 0. Calculate c.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*l, -2*l = -3 - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {q: 1, j: 1, z: 2, v: 3, x: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 20. Let h(m) = -m**3 + 11*m**2 - m + 15. Let p be h(r). Suppose p*y**3 + 4*y - 6*y**3 - 2*y**2 + 0*y = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28677831\/35 + 2*-2 + (-726)\/(-165) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -5*u. Let f(v) = -3*v + 4*v - 2 + 1 + 5*v**2. Determine f(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/42 and -163\/181941270.\nAnswer: 181941270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = l + 33 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 8*u + 68. Let d = -1324 - -1311. Determine g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3092+163666.49\nAnswer: 166758.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2426.9 + -2427. What is the closest to x in 271, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 57*t - 163. Determine l(60).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59845802, -59845745, -59845686, -59845625, -59845562?\n\"Answer: b**2 + 54*b - 59845857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 52 + 0.225\nAnswer: 52.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-22)\/(-4))*(-15)\/(-60)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2558707 - 2417083 = -11*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 33. List the prime factors of a(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938*g**3 + 1910*g**3 - 969*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let b(g) = 5*g**2 + 4*g + 4. Let c(s) = -30*s**2 - 25*s - 25. Let i(d) = -25*b(d) - 4*c(d). Calculate o(i(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3513 is divided by 586.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**4 + v**3 + (2*v**2 - 3*v**2 + 0*v**2)*(-v**2 + 0 + 0) - 5*v**4 - v**4 - 2*v**4.\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222020100 + -10?\nAnswer: -222020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - z - 4*z + 2*z - z + z + (2*z + 2*z - 2*z)*(-1 - 3 + 5) - 6*z + 3*z - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8258613 centimeters to nanometers.\nAnswer: 8258613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 7\/20*s**5 - 11*s - 3\/2*s**2 + 0*s**4 + 0*s**3 + 0. What is the derivative of b(m) wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651878981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s - 8 + 23*s - 6 + 19 - 6 + 149435*s**2 - 149424*s**2.\nAnswer: 11*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389891 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: Calculate the common denominator of -103\/200340 and -151\/9540.\nAnswer: 200340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5266686 (base 9) to base 8.\nAnswer: 12603027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - 380\/(-57)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11919 is divided by 409.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 201157, 201141, 201119, 201091, 201057?\n\"Answer: -3*p**2 - 7*p + 201167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121763 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872073389?\nAnswer: 11, 223, 355513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 592\/3 - 200. Let n be 2 - 2\/((-4)\/10). Suppose s - 5*s = 4*f + 20, 4*s - n = 5*f. Are g and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62637 rounded to two decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 3. Let k(g) = -27*g - 7. What is 3*k(d) - 8*z(d)?\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3522\/7044)\/(25\/4 - 0)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16155 + 3230 + 3231 + 3231 + 7*i + 3232 + 3231.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(136)*4 - sqrt(136)) + sqrt(136)*2*1)\/((sqrt(64) - (sqrt(64) - sqrt(64)*-2*-3))\/(sqrt(1152)*2)))**2*-2.\nAnswer: -65824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -165*c - 1157. Let m be w(-7). Let s(d) = 3*d**3 - 4*d**2 - 6*d - 3. Calculate s(m).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 5*y + 1058, 4*v - 1407 = 3*y. Suppose 3*o + v = 39. What is o rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186 - 15635?\nAnswer: -15438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 6\/7 (c) 0.16 (d) 2\/9 (e) 0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 121*k + 471. Give h(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t = -172*t - 175*t - 1869 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flkml. What is prob of picking 1 f and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.013 - -12.373. Let b = p - 12.35031. What is b rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 26, -9, -72, -169, -306, -489, -724?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -11*v**6\/30 + 25*v**3\/3 - 6*v**2 - 4*v. What is the first derivative of s(y) wrt y?\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(6\/5)\/t)\/(t**(12\/5)*t))\/(t\/t**29*t\/((t\/t**(-27))\/t*t)) assuming t is positive.\nAnswer: t**(259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -32210?\nAnswer: -32201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920161226?\nAnswer: 2, 293, 1570241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 3*(-25)\/15. Let m be 9\/15 - (0 + 0). Which is the second smallest value? (a) v (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87986 and 233044?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(13\/2))\/(i*i**(-1\/15)))\/(i**(-2\/29)*i**(1\/22)*i) assuming i is positive.\nAnswer: i**(26749\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let s = 18 - 19. Let l = h + s. Let p(v) = -v**3 + 3*v**2 - 2*v - 2. What is p(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105454672 divided by -922?\nAnswer: 114376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219302853?\nAnswer: 211, 10518023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x - 127. Give u(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 (base 12) in base 15?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1424 = 4*l - 3*o, 0 = 4*l + 2*o - 3*o + 1416. Let v = l + -341. Is v\/(-30) + 6\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68263, -277491, -627657, -1118755, -1750779, -2523723?\nAnswer: -3437581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.14 (c) 3 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46239833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-36610)\/(-1470) - 4\/(252\/(-1329))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9732 + -9598. What is the remainder when 657 is divided by a?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwyyp. Give prob of sequence yyw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = -3*f, -19 = -4*w - f + 4*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7227223 or -7227225?\nAnswer: -7227223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/43 + 75\/473. Which is the biggest value? (a) -5 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 797, 0.4, -2 in decreasing order.\nAnswer: 797, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*f = 96, 2626*f - 2635*f + 108 = 3*s for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 130. What is the remainder when 82 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33440186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -20*m**4 - 11725*m**3\/3 - 16505*m**2\/3 - 2900*m\/3 + 1940\/3 = 0.\nAnswer: -194, -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*w + 5 = 13, 4*w - 16 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540297941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.164437 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - f**2 + 1. Let x(g) = 2*g**2 + 2*g - 2. Let v be x(-2). List the prime factors of c(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003618101 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (2 - 3)) + -7. Let m be (-21)\/105 + 98\/f. Let y be m\/(-7) + 12\/(-28). Which is bigger: -0.01 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -373. Is d at least as big as 236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 29*l - 48. Calculate the remainder when 469 is divided by v(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 301025088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*1)\/(sqrt(28)\/sqrt(4)*1))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.41922 take away -0.5?\nAnswer: 60.91922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80.21 + 1.21. Let p = k - -134. Let c = 54.9967 - p. What is c rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(98))**2 - (sqrt(2) + 3*(sqrt(2) + sqrt(24)\/sqrt(12)))**2 - (3 + (sqrt(12)\/(sqrt(48)\/sqrt(8)*-2))**2)) + -2.\nAnswer: 6849\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6777525 is divided by 1694246?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001283531578 to 7 dps.\nAnswer: 0.0001284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 2*z + 35. Let x be c(-5). Let h(r) be the third derivative of -4*r**2 + 0 + 0*r**3 - 1\/12*r**4 + x*r. Let g(m) = 6*m**2. What is g(h(w))?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 7, n: 3, q: 1, m: 5, t: 2}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from ennnneemn.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, d: 1, b: 5, f: 4, l: 3}. What is prob of picking 1 d and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (-5 - 16) - -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 - 11*o**2 - o. Let y(a) = -8*a**3 + 29*a**2 + 3*a. Let f(p) = 11*x(p) + 4*y(p). Calculate f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 32*y**3\/3 + 698*y**2 - 528*y + 2090. What is i in h(i) = 0?\nAnswer: -44, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -54, -2, 2\/9.\nAnswer: -54, -2, -0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((46781\/1230)\/163)\/((-2)\/(-10))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -29*m**2 - 2291*m - 268. Calculate o(-79).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*g + w - 77, 3*g + 4*w - 182 = 0. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621 divided by 130777.\nAnswer: 621\/130777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25917 = -265*y + 147552. Solve -70*i = -39 + y for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3967 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/4 + -9)*-4. Suppose 456 = 4*d - 2*h, f*d - h = 8*d - 456. What is the highest common factor of d and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f + 3. Let p(q) = 2*q + 20. Let l be p(-11). List the prime factors of u(l).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -18. Solve -3*m + x = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.644367601 to 4 dps.\nAnswer: 3.6444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2606, 2610, 2614, 2618, 2622, 2626?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, i: 2, z: 1, x: 1}. What is prob of sequence xzi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 3) to base 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -743990 divided by 5\nAnswer: -148798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4956*t**3 - 20*t**2 + 5*t + 10. Let y(o) = -19630715*o**3 - 79216*o**2 + 19804*o + 39608. Give -19804*n(w) + 5*y(w).\nAnswer: -4951*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3551.54 - 43268173.\nAnswer: -43271724.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1331)*1 + sqrt(1331))*-5 + 5 + 3 + -1*sqrt(1331))*2)**2 + -1 + -1.\nAnswer: -7744*sqrt(11) + 644458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/235 + -9 + 4 + 6?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/(-30)*(-95 - 0). Let m = 973 - a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054 is divided by 1462?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 + -5.9. Let o = -3 - -2. What is the second biggest value in d, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:36 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111905219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 62. Suppose 0*m = -5*m - 3*w - 17, 0 = v*w + 20. Let d be (-3)\/(-9)*1*3 + m. Solve 3*s = d, 0 = -2*z - s - 1 - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a + 30. Suppose -a*w - 4 = -22. Let f be -1 + 2\/(-1) + 3. Sort w, -6, -1, f.\nAnswer: -6, -1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69, -86, -81, -42, 43, 186?\n\"Answer: 2*p**3 - p**2 - 28*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let c(v) = -24*v**2. Give i(c(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -16*r + 80. Suppose 4*j = -4*l + 104, l - 2*j + r = 49. Let f(z) = 8*z**2 - z. What is the remainder when l is divided by f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2\/2 - 3*u - 25. Calculate h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-1\/2)*n*n*n*n))\/(n*n**(2\/5)))\/(n\/(n**1*n))**8)\/((n\/n**(-1)*n)**5*n**(-5)\/n**3) assuming n is positive.\nAnswer: n**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1005, -1997, -2989, -3981?\nAnswer: -4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/3)\/r)\/r)**(-35))**(-16\/5)*(r\/(r*r**(-1\/3)))**39\/(r**(4\/7)\/r**(1\/2)) assuming r is positive.\nAnswer: r**(-5729\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 + 8*p**2 + p - 2. Let c(w) = -9*w**3 + 9*w**2 + w - 1. Let q(u) = 3*c(u) - 4*k(u). Calculate q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from xcarrxxxxraaxrxcprr.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 290623102 and 0.1?\nAnswer: 29062310.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 2)*10\/6. Suppose 6*i + s - 34 = 0. Solve 4*g - 3*g = -5*b - 24, -i*g - 11 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260377 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/28 - (-1235)\/(-5564). Is -0.02 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 34*a**2 + 37*a - 31. What is the smallest common multiple of y(16) and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arakaarabayassasraa. What is prob of sequence aya?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13.6345253905 - -0.5\nAnswer: -13.1345253905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/b*b)**25\/(b**(-14)\/(b**4*b)) assuming b is positive.\nAnswer: b**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124144825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -357? (a) -47 (b) 0 (c) 2\/5 (d) 3\/2 (e) -2\/5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 51. Give s(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*x, -4*x = -h - 0*x + 22. What is the smallest common multiple of h and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -38, -51007 in descending order.\nAnswer: -18, -38, -51007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1304 and 143\/5100.\nAnswer: 1662600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-36)\/14)*(-7)\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2256.354 years?\nAnswer: 225.6354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, 19549, -1.72, 5\/2 in descending order.\nAnswer: 19549, 5, 5\/2, -1.72, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8731523 to the power of 1\/2, to the nearest integer?\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most -3864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13.2 (b) -45 (c) 11\/4 (d) 6\/7 (e) 1 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11 = -1. Let d = -0.12 + 0.06. Let n = d - -0.16. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -454 + 1363\/3. Which is the closest to 0.3? (a) -5 (b) l (c) 0.3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159 - 323 + 156 + 17*j**2 + 6*j**2 to m*j**2 + i + h*j and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h + 4*j, -2*h - 2*j + 1 = -j. Let n be -3 - (3 + h + -7). Let b = 1330 - 1324. Solve -3*v + 0*v + b = n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835831727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35867 - -0.3434. Round a to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**2 + 2*f**2 + 41*f**2 + 9*f**2 + 13*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1633*n**3 + 1090*n**3 - 2721*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 divided by 166?\nAnswer: -137\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 24*l + 21423 = -27*l, -7145 = -s - 3*l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-36)*2\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48068*-14.\nAnswer: -672952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 162?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/120 - 3*h**5\/20 - 3*h**4\/4 + 5*h**3\/3 + 2*h**2 + 9. Let d be r(-5). Factor 0 + 1\/2*o + d*o**2 - 1\/2*o**3.\nAnswer: -o*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/308*((-2)\/19 - 88\/(-114))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -686\nAnswer: 3\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 23*r**5\/5 + r**4\/3 + r**3\/6 - r**2\/2 + 60*r. Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4269, 8541, 12813?\n\"Answer: 4272*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z - 89. Let p(y) = -y**3 + 16*y**2 + 44*y + 1. Calculate the remainder when p(18) is divided by r(18).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-12768)\/(-35)))\/((-840)\/1344).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*r + 12, -5*r + 2*r = -4*m + 31. What is the highest common divisor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = 637 - 994 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 9*j - 4*j. Let y = 102 + j. Let a = 91 - y. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujuj when four letters picked without replacement from {j: 4, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166101 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 - (-1 + -2 + -54 + 50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = 29*m - 1. Let h be (-4)\/8*(1 + m). Let f = 11 + -2. Solve h*q + f = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 at least -578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9810891491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -2, 0.\nAnswer: -4, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133 - 3*t**2 - 4*t**3 + 177 - 242 + t**2 - 4*t**2 wrt t?\nAnswer: -12*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (116 - 104*q - 116)*(-2*q + 1 - 1) in the form l + k*q + z*q**2 and give z.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 3*l**2 + 6*l + 6. What is m(5)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/11*(1687 + -1654)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -19 + (22 - 10) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/(((-70)\/(-24))\/7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1606 + 2867*p**2 - 8532449*p + 8532449*p wrt p?\nAnswer: 5734*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16, 0*n = -4*x - n + 12. Suppose 0 = x*u + 3*u - 310. What is the second derivative of -u*v + 17*v**2 + 13*v**2 + 25*v + v**2 wrt v?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 33\/5 of a microsecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.4 (c) 0.04 (d) -2 (e) 384 (f) -0.5 (g) 64\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/2 - 70205*j**2\/2 - 95994060*j + 200740553550.\nAnswer: -5*(j - 1355)*(j + 7698)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8 - (-15 + 4)) + 5 + -11 - -4) + 120\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.8627588 to 2 decimal places.\nAnswer: -7.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s + 4*s**2 + 0*s**2 - 608*s**6 + 789*s**6 + 1044*s**6 wrt s?\nAnswer: 147000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25993, -51990, -77989, -103990, -129993, -155998, -182005?\nAnswer: -208014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 80 = 224. Let y = 75 + i. Let x be (1\/(-3))\/(4\/(-9)). Which is the smallest value? (a) y (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m**2 + 33*m**2 - 16*m**2 + 44*m**3)*(1 + 1 - 4)*(5 + 3 - 4).\nAnswer: -352*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6690 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*z**2 - 49*d**3*z - d**2*z + 116*z**2 wrt z.\nAnswer: -6*d**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2361 - 2361.3. What is the fourth biggest value in -3, 2\/11, m, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 533 + -310. Suppose 2*p - s = -0*p + 82, -2*s = 5*p - q. Calculate the remainder when p is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 58, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 + 9*z**2 - 61*z. Let y(h) = -h**3 - 2*h**2 + 15*h. Let x(b) = 2*p(b) + 9*y(b). What is the second derivative of x(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.0549345.\nAnswer: -0.109869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.06. Let l = -1.06 - r. Sort 0.2, -0.3, l in ascending order.\nAnswer: l, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199247 - -335414. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*y - 65, 5*h + 2*y = -0*y + 53. Let a(m) = -2*m - 2. Let c be a(6). Calculate the remainder when (-117)\/(-7) + (-4)\/c is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 2*t**2 + 2*t**2)*(2*t**2 - 5 + 2*t - 3*t**2 + 4).\nAnswer: t**5 - 2*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45303 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3966908 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162 - -484\/3. What is the third smallest value in 3, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16451319*h**2 + 22*h - 128242 wrt h.\nAnswer: 32902638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -7*y**4\/24 + y**3 - 4584*y**2. Let z(v) be the third derivative of -7*v**4\/24 + 7*v**3\/6 + 3*v**2. What is 7*s(h) - 6*z(h)?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/12)\/((-9)\/(-18)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -j + 6*j. Let d(m) = -5*m**4 + 4*m**2 - 2. Let c(r) = -20*r**4 + 15*r**2 - 9. Let i(u) = j*d(u) - 2*c(u). Find the third derivative of i(l) wrt l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54752 divided by -320.\nAnswer: -1711\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2*n - 1)*(109*n - 26246 + 26246) + 4 - n**2 - 4 + 7 + 15*n**2 - 7)*(3 + 9 - 3)*(1 - 2 + 0) to the form a + h*n**2 + k*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 12*r - 1. Let u be n(12). Let x be (-5 - -8)*u\/(-3). Is x less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -21?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + -20 + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/305)\/(-2)*1935\/(-430)*4\/(-18)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.29 + -627767.\nAnswer: -627856.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 168983017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335 + -131. Suppose z + 0*z = -b + 69, -3*z = 2*b - l. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82\/(-369) + -3 + (-1632)\/(-297). Let y = -4.9 - -5. Which is the third biggest value? (a) -2 (b) -2\/7 (c) s (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 577.5 + -578. What is the third smallest value in m, 0.028, -1\/9?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4063, -8120, -12175, -16228, -20279, -24328?\n\"Answer: m**2 - 4060*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 585817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5030940 by 191.\nAnswer: -26340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.5 (c) -0.1 (d) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*s + 5 = 0, 0 = 2*v - 0*v + 3*s + 7. Suppose -2*j + 20 = 4*t, -t + 3*j + 18 = -v. Solve -5*u - t = 5*k - u, -5*u - 5 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 7. Let u be f(-1). Suppose -2*z - 2 = 0, 0 = -5*r - 4*z + u*z + 184. Solve -25 = 3*m - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 76. Let i = 3 + 0. Put 1, i, d in increasing order.\nAnswer: d, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/319 - 2851\/6380. Let k = -19\/20 - c. What is the closest to k in -1, 4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01631 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -w - w - 14, 5*j + 15 = 0. What is the units digit of -274*w\/(12 - 4)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*a**2 + 23*a**2 - 19*a**2)*(-2*a**2 + 5*a - 3*a + 3 - 5) to n*a**3 + l + c*a**4 + x*a**2 + z*a and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (308\/(-483)*-23)\/(3\/((-18)\/(-16))).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/54 + (-212)\/18. Let m be n*((-3)\/(-2) + -2). Suppose 2*k + 0*k = m. Solve -4 = -k*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3133 + -133?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Suppose -2 + j = z. Solve 3*r - z*r = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {l: 4, n: 2, r: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = o - 24, 0*c = 5*o - c - 72. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196663289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + (-9 + 9 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134393 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + 10*a + 3*a**2)*(0*a - 2*a + 0*a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 0.5, -7, -0.1, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (65 - 122) + -54.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Suppose -3*p - 56 = 4*p. Let s be -15*p\/(-12)*6\/(-15). Solve j*c + 3 - 8 = 3*n, 2*n - 2*c + s = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 2*k**7\/21 - 13*k**6\/45 + k**5\/5 - 249*k. Solve d(b) = 0.\nAnswer: 0, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 913915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:52 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/9 + 26*o**2\/3 + 118*o\/3 - 430\/9 = 0.\nAnswer: -5, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 61. Let j(b) = -b**3 - 2*b**2 - 4*b - 2. Let m be j(-2). Calculate the greatest common divisor of h and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 62118\/43 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.379744 - -19.\nAnswer: 18.620256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2*h + h**2 + 3*h + (0*h**2 + 0*h**2 + 2*h**2)*(-1 - 3 + 2).\nAnswer: -3*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 - 2)*-2. Let o = 23 - 11. Suppose 0 = 3*p + 5*g - o - 19, 2*p = -2*g + 14. Which is the nearest to p? (a) 5 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928032792 - -0.4.\nAnswer: 928032792.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b + 186*b = 89*b + 4*m + 20, 10 = -3*b - 2*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 405885469?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4366409.\nAnswer: 19, 79, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-154)\/231)\/(1 + 82\/(-78)). What is the greatest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343.15+-0.0435\nAnswer: 343.1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*p + 8884, 3*p = 4*r + 3176 - 10274. Is r a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128105 is divided by 8540.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831862158 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -13 + -17 + (-16 - -34)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 9*r - 2. Let p(j) = 6*j**2 + 36*j + 27. Let y be p(-5). Determine m(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-3 + p + 3) + (-4*p - 4*p + 9*p)*(-1 + 0 - 1)*(0 + 2 + 1).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 4*z - 3. Let h be b(-2). Let n be 0*h\/(-9)*3. Does n = 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5)\/(-2))\/(6\/720)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 4. Calculate the remainder when 346\/10 - (-2)\/5 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111000 + 1000100010111111010?\nAnswer: 1000100010001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 1231.13510627?\nAnswer: 1231.17510627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 425933.878 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/12 - 7*c**3\/3 - 5*c**2 + 2*c. What is the common denominator of 70\/(-8) + (-49)\/(-294) and s(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and 231.\nAnswer: 231.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4928*v - 64252. What is n(-14)?\nAnswer: 4740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 + -73 - (6 - -2))*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -8*d - 4, 2*d = 3*a - 11. Let l = -23 + 45. Solve a*q - l = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17460)\/41904*2\/(-4)*4\/(-1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unejjuewejnjwejxueje. What is prob of sequence unn?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u + d, 1 = 3*u - 4*u + 4*d. Suppose -4*x - 9 = -7*x. Calculate the remainder when u is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460c9 (base 14) in base 13?\nAnswer: -5c695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*a + 6 = -g, 2*g + 15 = -5*a. Solve -5*s + 6 + 4 = g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from prbwtpy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -33) + 9 + (-16 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**2 - 18. Let j(b) = -4032*b - 16*b**2 + 8070*b - 4038*b. Determine v(j(o)).\nAnswer: 2304*o**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let k(c) = c**2 - 2*c - 9. Let l be k(5). Let z(j) = -l*j + 21 - 38 + 22*j + 16. Determine h(z(o)).\nAnswer: 16*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 224 = -2*c. Let q = -2 + 5. Let b = c + q. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7*n - 125. Suppose -2*v - 11*m + 7*m = -56, -4*v + 109 = 5*m. Are v and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 10*s - 13*s - s + 2 - 2 - s - 2 + 2 + (-2*s - s + s)*(0 + 2 - 1) + 6 + 3*s - 6.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i + 4*i - 17*i + (-7 - 4 + 4)*(-2*i + i - 2*i) in the form t + z*i and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.16263 and 1.1723.\nAnswer: 1.33493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -3*y + 5*q, y - 2*q = 2*q - 46. Let d = 87 + y. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1875)\/(-900)*376\/10*12\/10.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 3*r**3 + r + 3*r**3 - 4*r**5 + r**5 + 2*r**5 + 1 - 2*r**5 - 1 + (r**5 + 3*r - 3*r)*(0 - 4 + 5).\nAnswer: r**5 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 213*g - 218*g - 79, -56 = -2*u + 4*g. Suppose 64 + 26 = 5*m. What is the highest common factor of u and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-16)\/20 + 462\/15 and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2499 - -4652. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0 + 3 - 0. Let x be -4 - n\/((-4)\/9). Suppose -x = 2*z - 13. Let w(a) = a + 1. Let c(b) = -5*b - 2. What is z*w(p) + c(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.568 - 0.56797549. What is d rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31692133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/5 + -6\/5. Let r be ((-3)\/39)\/((-1)\/2). Which is the second smallest value? (a) 2 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 13, -2815 in ascending order.\nAnswer: -2815, -89, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 69, 141, 249, 405, 621, 909?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14422 (b) 18 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71921\/10 - 7185. Let q be -1 + 1 + (-4)\/2. Calculate the common denominator of p and 2\/q - (-62)\/(-32).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915838*g + 56780 = 916506*g for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13476199.4 to the nearest 10000.\nAnswer: 13480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67815, 135637, 203461, 271287?\nAnswer: 339115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:46 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let l(k) = -2*k - 14912. Give c(l(z)).\nAnswer: -8*z**2 - 119296*z - 444735488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -399.069 + 401. Let r = -1.83 + c. Let s = r - 0.152. What is s rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1029)\/(-6))\/(-49))\/((-14)\/2)*-20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + ((-9174)\/(-556))\/(18\/(-48)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*k - 10 + 1 = 0, k + 11 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20321 + -111321?\nAnswer: -31000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4165*v + 0 - 4 - 3240*v.\nAnswer: -7405*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, o: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-350420.\nAnswer: 315378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + (-27)\/(-6). Let j(d) = d**2 + 5*d - 5. Calculate the remainder when j(v) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 0*w - 744. Let t be (-5 - -3)*(-67)\/(-2). Let m = t - w. Calculate the remainder when m is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -146*r. Let c(a) = 3*a. Give c(y(m)).\nAnswer: -438*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 1 + ((-1440)\/192)\/(3\/(-2)). Solve 2 = -i*y - 0*y + k, -3*y - 4*k = -23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -4, 21, 66, 137, 240?\n\"Answer: l**3 + l**2 + l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:52 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2263\/93*(-2 - (0 + 1)). Which is smaller: -1525\/21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + p. Let m be t(-1). What is the tens digit of -4 + (m - (-65 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -35*b**4\/4 - b**3\/3 + 3*b**2 - 89. Find the third derivative of n(s) wrt s.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9994291 decades?\nAnswer: 9.994291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36445.19 times -5\nAnswer: -182225.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -8, -5, 4, 19, 40?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**6\/540 - b**5\/90 - b**3\/3 - 3*b. Let s(k) be the second derivative of w(k). Factor s(m).\nAnswer: 2*m*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2041, -4450, -7095, -10090, -13549?\nAnswer: -17586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.207? (a) 32 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 - r + 11. What is the remainder when c(0) is divided by (-3)\/(-3) - (-2 + (-3 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3954 + 4583. Does 57 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33310363 rounded to four dps?\nAnswer: -1.3331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 - (-469)\/(-392)) + (-3)\/8)\/2. Let z = 6 + -10. Let q = 8 + z. Which is the second biggest value? (a) x (b) q (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, 3\/4, -836, 1\/4 in decreasing order.\nAnswer: 3\/4, 1\/4, 0, -18, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387000 by 20.\nAnswer: -19350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 500, 502, 506, 512?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.304 + -4.696. What is the nearest to 3\/11 in m, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/6 - 8*p + 26. Let a(n) be the first derivative of u(n). Let g(r) = -12*r. Calculate g(a(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 9*m\/2 + 35.\nAnswer: -(m - 14)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113\/87 - -653740\/503121. Let h = 3902817992227675\/34698 + -112479623949. Let b = y + h. What is the common denominator of 125\/6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 - q + 3. Let l be v(-3). Let r = 0 - l. Suppose 0 = -4*p + 4*y + 64, y - 62 = -4*p + r*y. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b39 (base 13) to base 5\nAnswer: 403032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54625572.\nAnswer: 2, 3, 1517377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 15. Suppose -3*u + o = -1. Calculate the greatest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.8072mm in centimeters?\nAnswer: 99.28072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2, -0.2, 0.18 in descending order.\nAnswer: 3\/4, 0.18, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23691 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -530, 243 in ascending order.\nAnswer: -530, -5, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6 - 17 + 29 - 3*u - 6. Let c(o) = -2*o - 2*o + 5*o. Determine c(v(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(16*5)*(-485)\/(-194)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -376, 4, -3 in descending order.\nAnswer: 4, -3, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4229459728574 minus 0.3?\nAnswer: -4229459728574.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740816?\nAnswer: 2, 46301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 26*d = 15. Put d, 2, -1 in ascending order.\nAnswer: -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00582233959 to six decimal places.\nAnswer: -0.005822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/1)\/((-5)\/(-18)*(-76)\/76).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180595832 to the power of 1\/2, to the nearest integer?\nAnswer: 56397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -37431*p - 187148. Give q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001001 - -1000110?\nAnswer: -1011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295408753.\nAnswer: 43, 293, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 418741973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243582702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + x - 3*x - 17, 2*x = 4. Suppose 2*n - 13 = j. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/6 (b) 42 (c) -1\/4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3504055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -30 - -51) + -37?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272 - -65. Which is greater: p or 336?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8327 and 2382279?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4)*(-79074)\/8595\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 2. Let o be -6*(30\/76 - (-18)\/171). Calculate x(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25914 is divided by 529?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.4 (b) 0.4 (c) 0.01 (d) 27 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4498, 5483, 7116, 9403, 12350?\nAnswer: 15963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117947171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 142 - (-66)\/(-3498)*583.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 320280, 319921, 319320, 318477, 317392, 316065?\n\"Answer: -121*q**2 + 4*q + 320397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(sqrt(27) - (sqrt(27) - sqrt(27)*2))*-4*4.\nAnswer: -960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 38. Suppose -v = -3*f + 19. Solve -4*s + 4*u = -f, u + 17 = -3*s - 4*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*s**3 - 4 - 5 + 2 - 933*s**3 + 7.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7179, -13837, -19923, -25437, -30379, -34749?\nAnswer: -38547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(153) - (4*sqrt(153) - sqrt(153) - sqrt(153)) - sqrt(153)))\/(sqrt(1089)*1*-1).\nAnswer: -36*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 18. Let l = -0.09 + -0.61. Let p = 0.3 - l. Which is the smallest value? (a) 5 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - g + 2*g + (3 - 3 + 2)*(7156434 - 2001*g - 7156434) + (3 - 4 + 0)*(-g + 0*g + 3*g) in the form h + a*g and give a.\nAnswer: -4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59601263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(95))\/sqrt(5) - sqrt(19)) - ((sqrt(228) - (1*sqrt(228) - sqrt(228)))\/sqrt(12) + 3)**2.\nAnswer: -8*sqrt(19) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-150)\/875*25\/(-30)*-14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056 - -0.0115617.\nAnswer: -0.0444383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -5.051 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Suppose 0*d = u*d - 382. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001225 to 7 dps.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and 97\/208258?\nAnswer: 208258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23\/5 (b) -5 (c) 0.3 (d) 1\/66 (e) 1 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Let k(j) = -j**2 + j - 1. Let w(i) = 2*k(i) + y(i). Let a(s) = 2 + 0 + 2*s**2 - 9*s + 4*s. What is -2*a(l) - 3*w(l)?\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owyyoa. What is prob of sequence awy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 0, -0.128 in descending order.\nAnswer: 9, 0, -0.128, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 69 = 311. Let c = 247 - k. Solve 0 = -3*s - 0*p + p - 17, 4*s = c*p - 41 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217135 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 268*a**2 + 220*a. Let c be b(-1). What is the highest common factor of c and 10248?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334096.\nAnswer: 2, 199, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25310 divided by -616?\nAnswer: -12655\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 11*t**7\/315 + 5*t**6\/36 + 17*t**5\/90 + t**4\/12 - 12*t**2 - 16*t. What is i in b(i) = 0?\nAnswer: -1, -3\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 17698*f**3 + 21*f**4 - 35404*f**3 + 17699*f**3 + 5*f**4 as j*f**2 + o + m*f**4 + y*f**3 + r*f and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {d: 1, k: 3, y: 2, e: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1779463541.0000307 - 1779463698. Let x = l - -157. Round x to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593201?\nAnswer: 7, 83, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 896*z + 2609*z + 3080*z - 1278*z + 2599*z to the form f + h*z and give h.\nAnswer: 7906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3945*f**2 - 2*f + 721 wrt f?\nAnswer: 7890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-6)*w)\/w))\/w)\/w**(1\/9)*w**(-1\/2)*w*w**(-5) assuming w is positive.\nAnswer: w**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59948698?\nAnswer: 2, 17, 401, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-35))\/((-20)\/350)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7)*(3*n - n - n)*(-3 - 1 + 0)*(3 + 0 - 1)*(-2 - 3 + 2).\nAnswer: -168*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 - 0.2. Let u = 46 + -46.45. Let h = g + u. Sort h, -4\/3, -2.\nAnswer: -2, -4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 28*d - 90 = 0.\nAnswer: -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 5, -2, -4\/187 in increasing order.\nAnswer: -2, -4\/187, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 1. Let l(p) = 9*p**2 + 14*p - 1. Let y(u) = -8*u**2 - 12*u + 1. Let s(d) = -6*l(d) - 7*y(d). What is s(c) - v(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12606497*s**5 - 8*s**4 - 996437252*s wrt s?\nAnswer: 252129940*s**3 - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -2*g, -5*i = -8*g + 4*g. Suppose -3*b = -2*v - 747008, 2*b + 0*b - g*v - 498020 = 0. What is b rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 184651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -2\/25 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 4. Let c(k) = -17*k. Calculate -c(b) + 4*w(b).\nAnswer: b + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - -1) + 2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - (-5 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - (-200)\/14. What is the second derivative of -23*v**3 + 8*v**3 - p*v + 3*v wrt v?\nAnswer: -90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -111 - 79. Calculate the remainder when (-6)\/9*(-1 + z) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4091173165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (-4)\/18 - 238\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1792 and -113\/8448?\nAnswer: 59136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:04 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.20918 + -0.21. Round u to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -6*l + 931. Let t = 86 + l. Suppose -x + t = -5*c, x = 3*c + 430 - 161. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -8034711 + -2811.5.\nAnswer: -8037522.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3045 is divided by 68?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 671, 2782, 7039, 14156?\nAnswer: 24847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*x + 16 = -2*d + 804*x, 0 = 5*x + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 - 90*v = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161697.9899697 + 161698. Let n = -0.01 + t. Round n to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16598*t**2 + 766*t + 20.\nAnswer: 33196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*c**2 + (-61*c - 51*c + 67*c)*(-2*c + 0 + 0) + c**2 + 2*c**2 - 4*c**2.\nAnswer: 87*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 29578?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + 665\/(-42))*-82 + 16?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + 1 + 4 + (-3 + 2*sqrt(832))**2.\nAnswer: -88*sqrt(13) + 3342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 31 = 3*n - 4, 0 = n - 5*p + 9. Let x = -10 - n. Let m be (x\/3)\/((-2)\/30). Solve -g - 3*i + 18 = -4*g, 5*i - 20 = -m*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.88 (b) 5 (c) -0.1 (d) 1471 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + c = -39995, 3*n + c + 15662 = -1477. Round n to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 2 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203.275 millilitres to litres.\nAnswer: 1.203275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - 53*c**2 - 127*c - 2595. Determine k(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4 take away 210338?\nAnswer: -210342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - i + 2)*(0*i + 2*i - 4*i) + 0*i**2 + i**2 - 26 + 2.\nAnswer: 3*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 15*q + 12 = 0. Let o(s) = 15 + 2*s**q - 3*s**2 - s**3 - 5 + 11*s + 9*s**2. Is o(8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31306393 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 * -12.\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/2 (b) 2\/57 (c) 9.5 (d) -4\/563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 1392.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8463.691 tonnes to micrograms.\nAnswer: 8463691000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104893.174 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(4\/3))\/l**(-2\/5))**(-7\/3)*(l*l\/l**(-4\/3))\/(l*l**(-2)*l)*l**(-2\/3)\/(l\/(l**(-1)*l)) assuming l is positive.\nAnswer: l**(-212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 12*f + 5. Let c be m(12). Solve q + 8 = 3*i - 4, q = c*i - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/28 and -37\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.9482km to millimeters.\nAnswer: 199948200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3180 and 336360.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 + -45.\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 118. Solve 25 = 4*j - t, 8*t - 5*t + 30 = r*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5)*(x\/(x\/x**(-2\/15)))\/x)\/(x**(1\/6)\/(x*x*x**(-3))) assuming x is positive.\nAnswer: x**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153123.\nAnswer: 3, 43, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60344, -60345, -60346, -60347?\nAnswer: -60348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 < 118562\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h = 3*h - 1 + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 36) + (19 - -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from ooosoftu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 72937.78 and -12157057.\nAnswer: -12084119.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/317512 and -73\/22543352?\nAnswer: 22543352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, 1, 17 in decreasing order.\nAnswer: 17, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*y - 8, 50*f - 5*y = 49*f - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/27729 and 59\/702.\nAnswer: 55458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27215 divided by 33\nAnswer: 27215\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/9 + 961*v**4\/9 - 4786*v**3\/9 + 1912*v**2\/3 = 0.\nAnswer: 0, 2, 3, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 688 = 4*j, 0*j = 4*j - 8. Let y = 138 - g. Let q(i) = 41*i**2 - 98*i**y + 52*i**2. Let n(m) = 4*m. Determine q(n(d)).\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -9. Put 0.3, -0.2, s in descending order.\nAnswer: 0.3, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129585081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 28, 5, -3 in decreasing order.\nAnswer: 28, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2. Let n(z) = -z**3 + 3*z**2 - 3*z + 4. Let v be n(4). Let x = 17 + v. Let u(i) = i**2 - 7. Determine x*t(w) - 2*u(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*b**3*q**5 - b**3*q + 49*q**6 + 580*q**2 wrt q.\nAnswer: 2520*b**3*q**2 + 5880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + -1.91. Let r = h + 0.7. What is the biggest value in -0.4, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 58*d + 2. Let s be u(29). Solve -6\/5*f**s - 3\/5*f**3 + 0 + 0*f = 0 for f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(8\/(-6)))\/((-4473)\/3408)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 22\/(-6) - 2\/(-6). Suppose 0 = r + 5 - 4. Let c be 1 + (-2)\/(-1) + r. Solve 2*h = c*m + l, 3*m + 2*m + 15 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 69, 99, 127, 153, 177, 199?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-3)\/(-6)*(-81 + 45)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826162700 a multiple of 1706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 5*a**2 + 8*a - 6. Let m be z(8). What is the units digit of (1 - 12\/8)*m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7387126 is divided by 150?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*v + 1 + 7 = 0, v - 8 = -2*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 11:02 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 7, f: 2, k: 3, b: 4}. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x. Let t(v) be the first derivative of -v**2 + 25. Calculate t(y(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*o - 623*o + 292*o - 94940 = 0 for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/80 - 3*f**4\/16 + 9*f**3\/8 + 9*f**2. Suppose j(o) = 0. What is o?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (-176)\/(-6) - (-8)\/12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121273, -121293, -121329, -121387, -121473, -121593, -121753?\n\"Answer: -j**3 - 2*j**2 - 7*j - 121263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + m + 0 - 7*m + 26 - 26 - m + m + m - 2*m - 1 + 1 + (6 - 2 - 2)*(2*m + m - 5*m) - 2*m - 3*m + 3*m - 24*m + 33*m - 39*m.\nAnswer: -43*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 70452?\nAnswer: 70452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Suppose 2*f = -5*b - 17, 3*b - n*f + f = -8. Calculate the remainder when 26 is divided by 9 - (3 - (-9)\/b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 346*k**2 - 19822*k + 376406 = 0 for k.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 4*n**5 - 2*n**5 - n**2 + n**2 - 6*n**5 + (-33*n**4 + 43*n**4 - 51*n**4)*(0*n - 2*n + n).\nAnswer: 34*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1632)\/(-3400))\/((-2)\/70). What is the biggest value in -0.3, b, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 542071 + 119929 = 46*m. Is m a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 108 = -q. Is (-9755)\/(-20) - (q\/(-8) - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36199851\/984074 - -1\/70291. Let q = 240\/7 - s. Which is the nearest to 3? (a) 0.061 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68320.48t in micrograms?\nAnswer: 68320480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**6\/120 - 13*h**5\/80 + 11*h**4\/16 + 77*h**3\/24 - 49*h**2\/4 - 117*h. Suppose b(x) = 0. Calculate x.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 511\nAnswer: 4\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -39*u**4 + 522*u**3 - 1222. Find the third derivative of o(s) wrt s.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 101 + (-71 - 56)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + 1 + 3 + (-23 - -23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(500)*-2 + -2)*5 - ((sqrt(500) + (sqrt(500) - (5 + sqrt(500) + sqrt(500)*1)))**2 + 2*sqrt(500)*4))*5.\nAnswer: 700 + 3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 2*d - 198, 2*d + 6 = 0. Let s = -29 - g. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30871 - -46315. Does 99 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/8 - 39*o**2\/4 + 543*o\/8 - 117\/2 = 0. Calculate o.\nAnswer: 1, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 446 + -78. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 12201022001121?\nAnswer: -12201022001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1102)\/(-10) - (-1)\/(-5). Let g = 115 - r. Solve -2*q + 5 = -z - 3, 0 = -g*z - 5*q + 35 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 6*o + 79. Let m = o - 18. Let c = 301 + m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -11 + 6 - -11) + (-22 - 1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 25 = -w. Let t(d) be the third derivative of -d**6\/120 - d**5\/15 + d**4\/8 - 7*d**3\/6 - 2*d**2. Give t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-105)\/74025*-141)\/(4\/370)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*t - 207 = 245, 0 = m - 5*t - 205. Suppose 3*q = m + 107. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 13*t**2 + t + 17. Let f(c) = 2*c**2 + 11*c - 8. Let a be f(-5). Let y be l(a). Sort y, -4, -115 in decreasing order.\nAnswer: y, -4, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3550)\/(-18) + 2\/2. Let f = 198 - m. Let p be (2 - 3)*6\/(-21). Which is the second smallest value? (a) -2\/3 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2. Let y(q) be the second derivative of q**7\/2520 + 217*q**4\/12 - 306*q - 2. Let k(o) be the third derivative of y(o). Give k(t(p)).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3602*l + 3141*l - 1488*l - 897*l + l**2 - 2*l**2 - 2*l**2 + 3*l**2 + (2*l - 2 + 2)*(0*l - 3*l + 5*l) - 5*l**2 + l**2 + 3*l**2.\nAnswer: 3*l**2 + 4358*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 5*n + 23. Let w be f(8). Let q(v) = v**5 - v. Let j(b) = -36*b**5 - 12. Let o(l) = w*j(l) + 4*q(l). Find the second derivative of o(i) wrt i.\nAnswer: 800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 334, 728, 1248, 1876, 2594, 3384, 4228?\nAnswer: 5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*21\/(378\/(-18))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 12*w - 4. Let r = -36 + 47. Suppose -r*f + 70 = -f. Calculate the remainder when c(10) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 - 7*v**2 + 17*v - 10180 wrt v?\nAnswer: 3*v**2 - 14*v + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 7 + -4 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 + 3*m + 14. Calculate r(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 1)*(-27)\/54)\/(13\/(-91)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**8\/6720 - m**7\/630 - m**6\/144 - m**5\/60 + m**4\/8 - 4*m**2. Let c(v) be the second derivative of d(v). Factor c(i).\nAnswer: -(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/25 (b) 1\/311 (c) 20\/9 (d) -0.3 (e) 42 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 0*a + a)*((-5 + 1 + 5)*(2 - 1 - 3) - 33 - 17 - 5) to the form j*a + p and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h**4 - 4*h**2 + 4*h + 111. Let m(x) = 24*x**2 - 1 - 6*x**2 + 2*x - x**4 - 20*x**2. Let y(r) = f(r) - 2*m(r). What is the derivative of y(i) wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -157*c**5\/30 - 3413*c**4\/24 - 1334*c**2. Find the second derivative of q(m) wrt m.\nAnswer: -628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htthyhttyh. Give prob of sequence ytt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*x = 206*x - 12542 - 5441 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 4*l + 54. Suppose 12 = -7*v + l. Determine u, given that -3\/8*u**4 + 3\/8*u**2 - 9\/8*u**5 + 9\/8*u**v + 0*u + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2680513?\nAnswer: 11, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36313.308009 + -36293.308. Let i = -20 + v. What is i rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -484 or -483?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*x - 12, 0 = 4*y + y - 3*x + 12. Suppose -g - 5 - 99 = -4*u, y = -g - 4. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 10*t**2 + 66*t - 44. Let p be y(-4). Is -15 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - g = 2*g - 276, 0 = -5*i + 4*g + 442. Let a(w) = 53*w + 3. Let s be a(3). Let c = s - i. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 157. Suppose 3*l + 29 - 123 = 4*t, 3*l - 3*t = x. Calculate the remainder when 439 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**4\/12 + o**3\/3 - o**2. Let r be i(-2). Find the third derivative of -s**6 + 4*s**r - 4*s**6 + s**2 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-617)\/630*(11 + -8). Let n = -16\/21 + y. Calculate the common denominator of n and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -s + 23, s - b = 4*b + 25. Suppose g - s = -2*g. Solve a + g = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 40*q - 322. Let r be j(-17). Let z be 36\/15*23\/r. Factor -z*h**3 + 0*h + 0 - 8\/5*h**2.\nAnswer: -4*h**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10480575\/4994685 - (2 + 0). Let g = 2\/6529 - d. What is the common denominator of 59\/30 and g?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 8.\nAnswer: 0, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Let m be 0\/(6*(-2)\/w). Solve 0*p - 4*p = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 5*o**2 - 6*o - 6. Let c be a(-6). Let g(f) = f**2 + 6*f + 1. What is g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 22. Let h be (-27)\/(-2) + 5\/(-2) + 3. Let f(v) = -4*v + 56. Let n be f(h). Determine o(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-403))\/((2\/(-6))\/((-4)\/24*-2))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:23 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Let t be 3\/2*(1 - -1). Let d = 7 - t. Solve d*b + b = -h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 2, b: 7}. What is prob of picking 1 j and 2 b?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2. Suppose -4*d = -3*r + 31, -26 = 4*d - 3*r + r. Let p = d - -6. Let z(y) = -2*y**p + 4*y**2 - y**2. Give z(q(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 583*i = -578*i - 21, 28 = -4*y + 6*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -76.4 (c) -2\/783 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1271927\/111 or -11458?\nAnswer: -11458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 5*y - 1870. Is y a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3734*a**3 - 16*a**2 - 8*a + 1261. Let d(l) = -2489*l**3 + 10*l**2 + 5*l - 840. Let s(j) = 8*d(j) + 5*n(j). Find the first derivative of s(k) wrt k.\nAnswer: -3726*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6*j + 6)*(4*j**2 + 0*j**2 - 3*j**2) - j**3 + 0 + 0.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**4\/6 - 5*l**3\/6 + 6*l**2. Determine f(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/162316 and -41\/1953?\nAnswer: 1460844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 46. Suppose 2*j = -v + 4, 3*v - 2*j - 2*j - s = 0. Is 17 a factor of 67\/v + (7\/(-4) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-14))\/(1\/(-4)). Suppose -3*m = w*m - 805. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 6*n**2 + n + 8. Let a be y(-6). Factor -2 - 1 - 2*d**a + 5.\nAnswer: -2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/3 in -1462, 0.7, 114?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89.7 - 94.27. Let n = v + 4.5699793. Round n to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1584 and -125\/823416?\nAnswer: 4940496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1426.49069924 - -1037.4906957. Let q = -389 - x. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxcx when four letters picked without replacement from {r: 3, c: 1, x: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 2. Let t(m) = -3*m - 2. Let j(r) = 4*l(r) - 3*t(r). Suppose 0 = 21*u - 17*u. Suppose u = -2*d + 3*d. Calculate j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 23*c + 13. Let t be g(11). Suppose q + 22 = t*v + 3*q, v = -3*q + 15. Calculate the remainder when v is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 81, -741 in increasing order.\nAnswer: -741, 70, 81","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -2306\/5 - -461. Let r = 2 + -9. Let o = r - -6. Which is the smallest value? (a) o (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04551 + -0.45449. Which is the fifth biggest value? (a) r (b) -4 (c) 0.3 (d) 0.6 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/33 + -13\/11. Which is the third smallest value? (a) 0 (b) 2\/3 (c) -5\/4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 187\/(-2))\/((-1)\/2). Let h = a - -185. Solve 0*f - 2*f - 4 = -h*t, -4*f - 5*t + 19 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65999 by 6.\nAnswer: -65999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2306\nAnswer: 3\/1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 12*m + 42. Does 5 divide v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 261?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1733\/3474 + -2\/1737. Which is the fourth smallest value? (a) 5 (b) z (c) -0.2 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-768)\/(-32))\/768*60.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 + 8*y**3\/3 + y**2\/2 + 3*y - 1. Let s be 2*(9 + (-20)\/2)*(1 + 3). Give q(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.761 + -1.239. Which is the third biggest value? (a) i (b) -47\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muttultguumltmk. Give prob of sequence lmg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48\/35 (b) -2\/5 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3\/5 (b) -44 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/20 - g**4\/6 + 5*g**3\/6 - 3*g**2\/2 - g. Let k be f(-4). What is the greatest common divisor of 81 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 208, 370, 532?\n\"Answer: 162*f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 3. Let a(l) = -4*l - 27. Let u(h) = a(h) - 4*b(h). Suppose 3*o + 18 = -0*o. Let f be u(o). Calculate the greatest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*v - 125 = -90, -17*a + 3*v = 70 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z, -2*g + 3*z - 1 = -4. Let w be 91\/56 - (-9)\/24. Solve 3*o**3 + 0*o**g + 0*o**3 - 3*o + o**w + o**4 - 2 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*t + 168*t - 74*t)*(-7*t**2 + 5*t**2 - 7 - 1).\nAnswer: 210*t**3 + 840*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7486 + 15251 - 2*u**3 - 7765.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, s: 2, p: 3, n: 1, j: 4}. What is prob of picking 1 s and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -7*o**2 - 6*o - 14. Let r be q(6). Calculate the common denominator of (-10)\/r*5\/(-1) and 137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s - 315. Let z(l) = -6*l - 340. What is -5*g(x) + 4*z(x)?\nAnswer: 6*x + 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - 3*l**3 + 75*l**4 - 349*l**4 + 30*l - 53*l + 21*l in the form w + f*l + s*l**4 + m*l**2 + q*l**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -5, 2\/29, 2\/3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 7946630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 15*t - 30. Suppose -t*b + 2*w = -3*b - 143, w + 146 = -b. Which is greater: -150 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 10 = y, 29 - 20 = 3*y + 6*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 626164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 2\/119, -3\/55.\nAnswer: -3\/55, 2\/119, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 0*i + 2*i + (-229 + 229 + 166*i)*(-2 - 1 + 1) to the form f*i + j and give f.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 742 - 742. Which is the closest to -0.05? (a) 17 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in 12, 2\/11, 0.04, -40, 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.6 - 12.8. Let y = 3.2124 + r. Round y to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*x - x + 75 = 0, 3*z = -x + 33. Let q be 186344952\/14 + z\/42. Suppose -16689646 - q = -2*h. What is h rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 0*o**2 + o**2 + (-1 + 1 + 3*o)*(1 - 2*o - 1) + 5*o - 5*o - o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -353.478 - -354. Let m = 0.038 + z. Let t = -0.66 + m. Which is the closest to 2\/3? (a) t (b) 1\/5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1944674*t**4 - 56665284*t wrt t.\nAnswer: 23336088*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*q = -2*v + 8, 3*v = q - 2. Suppose 2*r - 47 = -3*p - 3*r, -p - r + 19 = v. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2551 (base 11) to base 4\nAnswer: -303323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**4\/24 + 2*a**3\/3 - 10*a**2. Let z be t(0). Solve 3*s = -2*p + z + 3, -2*s = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32011133 (base 4) to base 9.\nAnswer: 87125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*d**4 - 224*d**4 - 221*d**4 + 8*d**4 - 75*d**4 + (2*d + d - d)*(-4*d**3 + 0*d**3 + 2*d**3) - d**4 - 3*d**4 - 2*d**4.\nAnswer: -545*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.47929 litres in millilitres?\nAnswer: 19479.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - v - 286 + 198 = 14*z, -z - 2*v - 23 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-546)\/1911)\/(2\/70).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.76 - -9.06. Let g = 0 + 0.3. Sort g, -1, l in decreasing order.\nAnswer: l, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 914734 + 306794 = 0. What are the prime factors of h?\nAnswer: 3, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50005 is divided by 238.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lumlmuumm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(25)\/sqrt(5))*5.\nAnswer: -10*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 34*t + 97. Let d be j(31). Solve 7*m - 12 = d*m, 4*u = -5*m + 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h**3 - 3*h**2 + 3. Let p(a) = 42*a**2 + 6 + a**3 + 4*a**2 - 7 - 45*a**2. What is -6*p(l) - 2*y(l)?\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 9:41 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vce when three letters picked without replacement from {e: 2, d: 4, v: 4, c: 5, p: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 - k**4 + 4*k**4 + (0*k - k + 2*k)*(-2 + 2 - k**3) + 0*k**4 + 3*k**4 + 0*k**4 to the form c*k**2 + u*k + p + r*k**4 + y*k**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/70 + a**4\/21 - a**3\/7 - 20*a. Let l(f) = 0. What is f?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21155044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6 + 8*d**2 - 11*d**2 - 2 to the form k*d**2 + b*d + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -139\/2 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 686\/30 + (-685)\/(-75) + -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1 (c) 103 (d) 0.5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 + -7 + 8)\/((-8)\/228). Suppose 189 + u = -43*a. Is -95\/6 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*5 + sqrt(110))\/sqrt(10).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*34\/85*(-10)\/(-8). Let q(y) = 6*y**3 + 3*y**2 - 3*y + 7. Is q(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 7 - 19 - -27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**4 - 309941*d**2 - 4239605 with respect to d.\nAnswer: -20*d**3 - 619882*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3 + 15. Let k(c) = c - 3. Let o be k(f). Suppose 0 = -w - 0*w + o*i - 8, w = 4*i - 11. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -1\/12*t**4 + 2*t - 1 - 1\/2*t**3 + 2*t**2. Let h(m) be the first derivative of u(m). What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101335 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let p be 1\/c*(-3)\/(-2). Put 0, p, 1\/7 in increasing order.\nAnswer: 0, 1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 13*i - 8. What is the nearest to i in -3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399217.\nAnswer: 7, 13, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 10*a - 5. Let d = 485 + -494. Determine x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**5\/30 + d**3\/3 - d**2\/2 - d. Let m(n) be the first derivative of o(n). What is the derivative of m(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9604 (base 10) to base 3\nAnswer: -111011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -h - 9*r - 12, -3*r = -2*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.07 + -3.07. Let v be (-2 - (-22)\/8)*4. Suppose -v*j + 16 = j. Which is the nearest to h? (a) j (b) 11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (-2 + sqrt(192))) + 3 + sqrt(192))**2*1.\nAnswer: 160*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8608, 34427, 77458, 137701, 215156, 309823, 421702?\n\"Answer: 8606*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/22 - (-2)\/(-4). Sort 0.7, -3, l.\nAnswer: -3, 0.7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t - t**2 + (-3*t + 4*t - 4*t)*(-2*t + 1 - 1) + (6*t - 3*t - t)*(-t + 4*t - t) + 24*t**2 - 4*t**2 + 4*t - 7*t**2.\nAnswer: 22*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/27 and (-1 + 3)*1 + 2212\/840.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 5630253.\nAnswer: -5630247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 702 - 697. Determine h, given that -8*h**w - 224*h**3 + 15*h**2 + 10*h + 222*h**3 - h**2 + 2 - 16*h**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -156, -155?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(67\/670)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -911, -7106, -23871, -56492, -110255, -190446, -302351?\n\"Answer: -881*b**3 + b**2 - 31*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.38844 rounded to one decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1120722*q**4 + 9*q - 76613850.\nAnswer: -4482888*q**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75, -390, -943, -1734?\n\"Answer: -119*x**2 + 42*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(1*-6))\/((-50)\/(-30)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(sqrt(44)\/((sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(4)*-4)*-1) - sqrt(4)) + sqrt(4)) + 1).\nAnswer: -18 + 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10532224 divided by 769.\nAnswer: 13696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**3 + 24*o - 24. Let p(x) = 2*x**2 - 2*x**2 - 2*x**3 + 5*x - 15 + 10. Let y = 60 + -84. Give y*p(w) + 5*b(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4139.7 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 292, 289, 286, 283?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*m**5\/3 + 1392*m**4 + 9148*m**3\/3 + 1680*m**2 + 250*m\/3 = 0 for m.\nAnswer: -1, -5\/91, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + c - 34, 20*c = 2*r + 1873 - 1505 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 10*c**2 + 3 + 4 - 4*c.\nAnswer: 10*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 4, -57, -0.5, 24\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(1100) + -1)*-6 + -3 + -1*sqrt(1100))**2 - (-1 + 2*sqrt(1100) + 0 + -5)).\nAnswer: -440*sqrt(11) + 53913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 33. Differentiate -2*a - 5 - g + 18*a wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9 and 3 - (-5)\/(150\/(-278)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -28.9. Let u = 4.9 - s. Which is the biggest value? (a) -4 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5156 + 4.5156. Let q = -1133\/5 - -228. Which is the smallest value? (a) w (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 143, 155, 183, 233, 311?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/3 + 2 - -37. Let y be (-9)\/k - (-29)\/4. Let n(t) = t**3 - 6*t**2 - 6*t - 5. Let q be n(y). Solve -q*p = 2*r, 4*r + 3*p + 3 + 2 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 23 + 7*g - 9*g. Let w be d(-7). Let h = -2 + 7. Put w, h, -3 in ascending order.\nAnswer: -3, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/9))**(8\/9)\/(p**9\/((p*p**0*p)\/p)) assuming p is positive.\nAnswer: p**(-560\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 2*f**5\/5 + 23*f**4\/24 - 19*f**2. What is the second derivative of i(r) wrt r?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k - 4. Let u be f(5). Suppose 3*g + 5*c = 5*g + u, -c = 5*g - 11. Let l(r) = r**2 + 5 - 7*r - g + 3. Calculate l(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -10358.\nAnswer: 4\/5179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16074 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 87120.914 to the nearest one thousand.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -5, -6, 35.58, 1, 17?\nAnswer: 35.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*q + 48, 0*d - 2*d - 120 = -5*q. Suppose 0 = 3*m + 3*i, i = 4*m - 3*i - q. Let p = 7 - 5. Solve 0 = m*v - p + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkkkgaak. What is prob of picking 1 g and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3*h**2\/2 + 47*h - 610. Calculate l(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 1. Let r be 2\/16 - (-31)\/8. Suppose 4*i - 63 = -5*p - 12, -16 = -r*i. Suppose p - 3 = 2*b. What is c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2. Let k be h(-6). Let l(y) = k*y + y**2 + 2*y - y. Suppose -15*f = -12*f + 3*j - 21, 4 = j. What is l(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -34. Suppose 7*m = 3*m - a. Let v be m\/(-12) + (-614)\/(-8). What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -329a284b + 2?\nAnswer: -329a2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 103. Solve -6*m + 7*m + p = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0227052808 to five decimal places.\nAnswer: -0.02271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -345, -2827, -9549, -22629, -44185, -76335?\n\"Answer: -353*g**3 - 2*g**2 - 5*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2960 and 1295.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021012 (base 3) in base 12?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/3, -0.23, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9303, -39191, -88997, -158715, -248339?\n\"Answer: s**3 - 9965*s**2 + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -43*r - 49*r + 84*r. Let y(t) = 2*t - 126 + 57 - 8*t + 69. Determine y(i(d)).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-0.1.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + y - 3*y + 7, 0 = -u - y + 7. What is the highest common divisor of u and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v - 1. Let i be d(-2). Suppose 3*s + 2*s + i = 0. Let w = 2 + s. Is w less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2928 - 1712. Suppose -4*f - l = -4*y, 298 = 2*y - y - 4*f. Suppose -4*d - y = -1054. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (42\/2)\/((28\/(-21))\/((-92)\/69))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millisecond in microseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -51*v - 54. Let f(l) be the third derivative of -17*l**4\/24 - 3*l**3 - 23*l**2. Let b(u) = 8*f(u) - 3*p(u). Find the first derivative of b(n) wrt n.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 124, 201, 294, 409?\n\"Answer: f**3 - f**2 + 63*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 4:20 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 118808.1?\nAnswer: 118811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 21*b**2 + 20*b + 2. Let x be j(-20). Let r = 13 - -3. Calculate the smallest common multiple of (32\/10)\/(24\/10 - x) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 - -112. Suppose -45 = -4*d - 5*n + 79, a = -n - 4. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442103.\nAnswer: 2442103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**4 - 203465*f**2 - f - 5336037 wrt f.\nAnswer: -72*f**2 - 406930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -51*w + 239. What is the remainder when 38 is divided by l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 89204 = -17*z + 12*z, 2*v = -9*z + 160590. What are the prime factors of z?\nAnswer: 2, 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + 4 - 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + ((sqrt(153)*-1)**2 - sqrt(153)) + -5)*2*-6.\nAnswer: -1841 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2416.7, 2\/11, -4, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**2 + k**2)*(3*k - 2*k + k - 2 + 2*k + 2 - 3 + 3 + 2*k + (2 - 3 + 0)*(3 + k - 3)).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/18 - 3\/9) + 4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2*3\/42). Suppose z - q + 1 = 0. What is the remainder when z is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430755867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 42*z - 345. Give w(-50).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -11 (c) 2\/3 (d) -258 (e) -5 (f) -19196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(5 - 4 + 1)*(1151*r**2 - 3413 + 3413 + 4273*r**2) as f + m*r**2 + s*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -10. Suppose 2*r - 21 = -3*f, 3*r - 8 = 1. Put f, g, 2 in decreasing order.\nAnswer: f, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**2 - 14*v**2 - 2*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -167570.\nAnswer: -167570, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1113 and -107308 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 237001716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 371*d**3\/3 + 56*d**2 - 4*d + 46. Let v(a) = -33*a - 5. Calculate -5*t(w) - 112*v(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 5. Suppose -2*x - 5*k + 376 = r, 2*k = -x + 3*x - 390. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 4, v: 2, g: 1, h: 2}. What is prob of sequence vev?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8393159 to the nearest integer?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.32 + 0.22. Let n = 1.5 - i. Let m = n + -2.4. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4 = -166*p + 167*p, 5*p = -4*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 23716 divided by -4?\nAnswer: -5929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 11 (b) 0.7 (c) -3274 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 72*j + 13235. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2353451 (base 8) in base 9?\nAnswer: -1182571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 395644 divided by 1\nAnswer: 395644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.071 - 0.071. Let v = -3582 + 3617. Sort -4, f, 3, v.\nAnswer: -4, 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2880*y + 1956 = 3043*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, o: 1, h: 4, a: 4, i: 5}. What is prob of sequence aao?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 0. Let p = 4 - x. Let h = p + -3. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, r: 1, v: 2, a: 4}. Give prob of picking 2 v and 1 e.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47800470 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 532 and 9.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -75. Do -0.2 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-45)\/(-27))\/1. Let g = -1 + 2. Let j = 1 - 5. Which is the second smallest value? (a) f (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 534*v**2 + 70*v + 241. Is 35 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 104 = 5*i, 30*b - i - 164 = 25*b. What is the remainder when 4023 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 3*m + 5*m**4 + 1 + 5*m - 4*m**3 in the form v*m**4 + a + x*m**3 + p*m + u*m**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*x - 336 = 0. Suppose 4*u = -2*q + 9 + 127, -u + 3*q + x = 0. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(45))*-3 + (sqrt(540) + sqrt(540)*2)\/sqrt(12))*4 + (((-1*sqrt(540) + sqrt(540))*-3)\/sqrt(12) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5. Let n be b(3). Suppose -5*i + 10 = 5*y, y = 3*i - 3 + 5. Suppose x + y = 0, x + 14 = 2*u - x. Sort n, -3, u, 4 in descending order.\nAnswer: u, 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4\/3 - 9*z**3 - 150*z**2 + 664*z\/3 - 64 = 0.\nAnswer: -8, 2\/5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -3*a**4\/4 + a. Let h(p) = -101*p + 4370. Let x(i) = 110*i - 4750. Let l(u) = 25*h(u) + 23*x(u). Determine l(d(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436 = -74*k - 66 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.75 + 1704.25. Let w = s + -1714.85008. Let f = 0.15 - w. Round f to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 6*d - 5*d + 5*d - 11*d + 4*d + (1 - 5 + 3)*(3*d - 5*d + 3*d) - 3*d - 2*d + 3*d to s + l*d and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*b*u**2*y**3 - 2*b*u**2*y**2 + b*u**2 + 3*b*u - 2*u**2*y**3 + 97*y**2 wrt y.\nAnswer: -204*b*u**2 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-25\/3)*d**(-2\/77)*d**11\/(d**(-23\/5)\/d) assuming d is positive.\nAnswer: d**(10673\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*g = -669, -z + 3*g + 1366 = z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277.3625 rounded to one dp?\nAnswer: 1277.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-4)*4\/(-4))\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 37*x**2 + 108*x + 45. Let d be p(34). Is d greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 106, -194, -311\/2?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -18, -9, 18, 69, 150, 267, 426?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + h = -0*h + 2, -2*d - 3*h + 14 = 0. Let y(a) = 2*a - d + 1. Let r(n) be the third derivative of -n**4\/12 + n**2. Calculate y(r(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13511?\nAnswer: 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4239 + -4157. What is the remainder when a is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 932 = 4*b, -3*b - 4*z - 447 + 1124 = 0. Calculate the remainder when b is divided by 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -14 + 95 + -65?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 7*(1 - -2). Let l(m) = -4*m + 17. Suppose 5*d + 47 = 12. Let j be l(d). Calculate the greatest common divisor of w and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29110896 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 9 - -2 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/120 - q**4\/24 - q**3\/4 + 3*q**2\/2 - 8. Let p(i) be the second derivative of h(i). Factor p(x).\nAnswer: (x - 3)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45 (b) 7177 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goooy. Give prob of picking 1 y, 2 o, and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9733.37 + -9733. Which is bigger: p or -33?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 10:09 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-171)*-84)\/((8\/3)\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(sqrt(605) + 1 + 2) + (-4*(sqrt(605) + (sqrt(605) - (-1 + sqrt(605)) - sqrt(605)) + sqrt(605)) - sqrt(605)) + -1 + -5)**2.\nAnswer: -44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156491.69 + -0.5.\nAnswer: 1156491.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164.0000083 + 164. What is v rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165820, -331686, -497552?\nAnswer: -663418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 116?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-16*30\/324)\/(316\/(-1422))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(1\/15). Solve 4*g - 21 = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1087351.\nAnswer: 2174702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 5\/2028, 0.031, 9\/2?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:40 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 11. Let z(n) = n. Let k(j) = -r(j) - 2*z(j). What is the tens digit of k(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 615 divide 31436848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 5, -4988\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205485 at most as big as 3205580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqqccq. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 8:38 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:15 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*n + 542*n = -22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**2 + 2\/105*s**7 - 6*s + 8\/75*s**6 + 6\/25*s**5 + 2\/15*s**3 + 0 + 4\/15*s**4. Factor o(r).\nAnswer: 4*r*(r + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 31 - 17\/3*g**3 + 4*g**2 - 1\/2*g**4 - 6*g. Let r be l(-9). Solve -5*w + 20 = -5*k - 4*w, r*w - 12 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138.846 - 246.18.\nAnswer: -385.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -15. Solve b*n - 6 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5 - 76*u**4 + 692*u**3 - 1976*u**2 + 2190*u - 828 = 0.\nAnswer: -46, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1851)\/(-2) - 1 - (-6)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59897 and 780441?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053 = -81*t + 103 - 427 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69\/4 of a millimeter?\nAnswer: 17250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 90 = 131 - 140 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 8*h**2 - 11*h - 11. Let x be u(-6). Find the third derivative of -2 + a**2 - x*a**5 + 5*a**2 - 1 wrt a.\nAnswer: -7620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 195*j**2 + j + 1. Let f be i(-1). Let d be 64\/16 - 0\/(-2). Suppose 7*m = d*m + f. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-6 - (-3 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 44 = -4*y, 4*y + 14*t = 12*t + 32. Does 21 divide (-3 + y)*(24 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 2*o**3 + o**3 + o - o**3 - o + (3*o**2 + 0*o**2 - 4*o**2)*(-4*o + 3*o + 2*o) - 34*o**3 - 13 + 13 + 0*o**3 + 0*o**3 - 5*o**3.\nAnswer: -42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -9091\nAnswer: 3636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310324 is divided by 3332?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(-2*sqrt(1210) + sqrt(1210) - sqrt(1210))*-1 + 5*(-2 + sqrt(17)) + -6*(sqrt(68))**2.\nAnswer: -418 + 111*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 3*h + 91. Let f be k(11). Let j(t) = -7*t**2 - 18*t - 5. Let c(q) = -4*q**2 - 9*q - 3. Determine f*j(x) - 5*c(x).\nAnswer: -x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + 1175372?\nAnswer: 1175277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1813*w. Let j(i) = 250 - 135 + 2*i - 3*i - 115. What is m(j(v))?\nAnswer: 1813*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 424 + -420. Which is the second biggest value? (a) 1 (b) -936 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, 1 k, and 1 d when four letters picked without replacement from {w: 1, d: 1, q: 5, s: 1, k: 6, i: 3}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1656*a**2 - 1898*a**2 + 1929*a**2 + 3187*a**2 - 2.\nAnswer: 4874*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/42)\/((-8)\/(-48)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/11 - 104*h**4\/11 + 1054*h**3\/11 - 244*h**2 + 64*h\/11 + 3904\/11 = 0. Calculate h.\nAnswer: -61, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260)*-1)\/(sqrt(363)*-1 + sqrt(3)) + ((-2*sqrt(140) + sqrt(140) + sqrt(140))*1)\/(sqrt(7)*-1*-6) + 3.\nAnswer: 3 + 11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29981\/11640 + -7\/776. Calculate the common denominator of g and -23\/875.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/4 (b) 5 (c) -0.117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*j + 174*j + 1786 = -7044 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 + 17*r. Let u(c) = -4*c**2 - 8*c. Suppose -3*q - 24 = -6. Calculate q*d(k) - 13*u(k).\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7755705?\nAnswer: 3, 5, 19, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.298123 and 2.\nAnswer: 1.701877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 23. Let a(f) = -4*f - 22. Give 6*a(u) + 7*l(u).\nAnswer: 4*u + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 176 in 5, -0.03987, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1488)\/3348)\/((-8)\/(-396)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 5, q: 4, g: 4}. What is prob of picking 3 g?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.88272 + -0.01728. What is the third smallest value in -6, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -36*x - 78. Suppose s + 4 = -2*k - 1, 2*s - 4*k + 10 = 0. Does 4 divide q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2)\/(-14)) + (93160\/1428)\/137. Solve -8\/3 + 1\/2*d**2 + j*d = 0.\nAnswer: -4, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -4*g, 44*g = -q + 22*g + 526 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5 - 13 = 0. Let p be -3*28\/24*(-12)\/u. Solve -p*v + 3 = -17*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let l(g) = -3*g - 7. Let r = 19 - 12. Suppose 6*n - n + 25 = 0. Let v = n + 2. Determine r*w(a) + v*l(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*m*o**3 + 8*k**3*m*o**2 + k**3*m*o + 4*k**2*m*o**3 + k*m*o**2 + m*o wrt o.\nAnswer: -12*k**3*m + 24*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 617.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9 + 1)*(-20 - 14 - 14*b + 19) to n + m*b and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491919 is divided by 438?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 461\/3 + -152. Is 2 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*y = -31*y - 70*y + 79076. Is y bigger than -10434\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by 5?\nAnswer: -248\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/90 - (-4)\/5*2. Suppose 5*k + f = -2*n + 34, 5*n - k - 26 = 0. Suppose -3*h = -h + n. Let c(y) = -3*y. Determine c(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nnnnnrnrnnnrnnnnnnnn.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 11:08 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36191 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 78, -11, -3 in descending order.\nAnswer: 78, 14, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33868581 and 1.3?\nAnswer: 44029155.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4322 divide 213428724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 1, f: 2, m: 1}. What is prob of sequence fvf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -333*y + 9. Let h be u(-1). Let r = 396 - h. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q - 234. Let r be k(0). Let s = r + 245. Let l(a) = -a**3 + 10*a**2 + 14*a - 16. Determine l(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/4*33\/(-660)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 283636947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*y**2 - 250*y**2 + 445*y**2 + (4*y - y - y)*(6 + 2*y - 6) as z*y**2 + x + a*y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvdvvvvddqddqq. Give prob of picking 1 d and 1 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 - 193. Let q = -83 + l. Let z = q + -43. Is z less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -43. Suppose 3*v + c*v = 21. Solve 1 = -l, 0 = 4*z - v*l + 24 - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -3268, -2, 0, -4 in descending order.\nAnswer: 1, 0, -2, -3, -4, -3268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/247 + -6680\/2717. Find the common denominator of -7 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/9 - 2845740*m - 9110515666050 = 0.\nAnswer: -6402915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 388516705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**3\/3 + 4*s**2 - 8*s - 2. Let w be o(6). What are the prime factors of (-1 + 28\/12)*78\/w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 110688761543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than -1518483?\nAnswer: -1518473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 71400801?\nAnswer: -71400781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4*h - 2)*(1 + 1 + 0) - 7*h + 3*h + 3*h + (5 + h - 5)*(4 - 4 - 1) as b*h + j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2149375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = -3*l + 380, -2*l = -3*r + 1043. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2 + -1)*-12. Let h = 9 + u. Sort h, 0, -4 in descending order.\nAnswer: 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**2 + 3 + 0 + 0*d**2. Let z(f) = 3*f - 2. Let b(c) = -70*c + 30. Let l(t) = b(t) + 15*z(t). Determine i(l(k)).\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 - 5*b**2\/2 + 4*b. Let k be t(11). Suppose -z - 110 = -k*z. Solve -h - 2*d = -7*d + 7, -z = -4*h - 5*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13980, 28916, 43854, 58794, 73736?\n\"Answer: z**2 + 14933*z - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -103.\nAnswer: -59\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/98 and -163\/336.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736*-1.\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.757053 millilitres?\nAnswer: 0.004757053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:25 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31716 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2762*f*p**4 - f*p**2 - f*p*u - 1087*f*u + f - 2*p**4 + p**3*u - 2*p**2*u wrt p?\nAnswer: -66288*f*p - 48*p + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = -150. Let o = 57 + j. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213 and 700131.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xycv when four letters picked without replacement from {x: 1, l: 1, c: 3, v: 3, y: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 20 = 18*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 24 = h + 32, 3*h + 6*c + 36 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 343 + 353. Suppose 3*d - 5*d + u = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3455, 3458, 3459, 3458, 3455?\nAnswer: 3450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*c = -435, 4*w + 2*c + 72 - 420 = 0. Let m = w + -42. 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 prob of picking 1 a and 2 s when three letters picked without replacement from {c: 2, f: 1, o: 3, a: 2, s: 3, g: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(1584) + sqrt(1100) + 2 - (4*4*((sqrt(1100)*2)**2 + sqrt(1100)) + 2).\nAnswer: -70395 - 138*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458\/5 + 108\/5*v - 2\/5*v**2 = 0 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1258\/707195 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**2 + 6*s**2 - 80224*s - 16*s**2 + 80224*s.\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 17 = -j - 2, -4*l = j + 25. Let g = -124 + 180. Let w = j + g. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 258 - -913. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*u + 456, -2*u + u + 2*o + 240 = 0. Let w = -1162 + u. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n + 3. Let g(m) = m**2 - 19*m + 90. Let h be g(9). Give o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*a = 9753 + 19011. Let w(m) = 84*m + 1. Let y be w(4). Let d = a + y. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 444.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**3 + 55*j**3 - 34*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*1*39 - (-25 + 22) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 20021.0899.\nAnswer: -140147.6293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1)\/((-90)\/(-1590)*-159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.555675 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 737*n + 11029. What is r(-15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4 + 23*t + 3)*(3*t**2 + 3*t**2 - 4*t**2) + (-3 - 3 + 5)*(-3*t + 15*t - 6*t)*(-2*t**2 + 3 - 3).\nAnswer: 58*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (66\/(-220))\/((-2)\/108). Factor -3\/5*b**3 + 27\/5*b**2 + f - 81\/5*b.\nAnswer: -3*(b - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -34. Let w = 52 - l. Calculate the smallest common multiple of w and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (309\/7)\/(28\/196)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 11:56 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65007244?\nAnswer: 2, 16251811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 - -3.67. Let n = w + -4.0999671. Round n to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2437 - 2434. Solve -4*v - 20 = o, -5*o + 22 = -5*v - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Let m = -3 - 1. What is the third biggest value in l, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 4*w, 0 = 4*w + k + 9 - 2. What is the closest to -1\/2 in 1\/5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3160731 by -3.\nAnswer: -1053577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2 - 1. Let f(a) be the second derivative of -a**4\/2 - 2*a + 24. Calculate f(v(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 72. Calculate the remainder when 119 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481\/5008 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 875 - 874. Sort y, 0.4, -0.4, 52.\nAnswer: -0.4, 0.4, y, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccssccccscsccccscccc. What is prob of picking 4 s?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 28 = -6*w. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381955273 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c + a, -3*c + 4*a = 2*c + 6. Suppose -32 - 2 = c*n. Let p be (n\/1)\/(-13 + 12). Solve 9 = 4*j - x, -2*j + p = 3*x + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.3 (b) -2 (c) 21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 - 3572*i**4 + 1790*i**4 + 1784*i**4 - i as d*i**3 + p + v*i**2 + h*i**4 + g*i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79656 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144276 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 - 7*p**2 + 181*p + 500. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m = 4. Let v(h) = 0 - m - 2*h + 4 + 2. Give v(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 8.3. Let h = -7.5 - a. Sort -2\/13, h, 5 in decreasing order.\nAnswer: 5, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.04, 0.5, -11\/2, 25, -1\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132711823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*m**2 + 5*m**2 + 19*m**2 + (1 + 2 - 1)*(2*m**2 + 2*m**2 - 3*m**2) - 35 + 4*m**2 + 35.\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 6, 3*s - 3167 = 5*y + 5665. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*d**2 - 115 - 1845294*d + 1845294*d as m + o*d**2 + k*d and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -84*q**2 + 35*q. Let a(f) = -7*f**2 + 3*f. Suppose -4*j + 721 = 105. Let r = j + -151. Calculate r*d(x) - 35*a(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -323047374.\nAnswer: -323047378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1047, 1067, 1107, 1173, 1271, 1407, 1587, 1817?\n\"Answer: u**3 + 4*u**2 + u + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2075 and 6\/(-5)*(-6675)\/(-178)*166\/(-6).\nAnswer: 6225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 - 57 = -5*w. Suppose 5*t - 151 = -4*z, -3*t + w = 2*z + t. Find x such that -108*x - z*x**2 - 47*x**3 - 64*x**2 + 8*x**5 - 68*x**4 + 227*x**3 = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.18 - 14.12. Let t = 117 + -116.5. Which is the nearest to 0.3? (a) 0 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.846 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (0 + (-1 - -7) + -2 - 8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111463856 and 22.\nAnswer: 1226102416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - 7) - (-4 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223596*i**3 + 2 - 1 - 1 + 223984*i**3.\nAnswer: 388*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/2943 in 0, 4, 0.7, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 774156331 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: In base 15, what is 7110 + -2?\nAnswer: 710d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -152\/9 bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 528.9 in 657, -2, -2\/3?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 829900 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-16 - -10) - 17\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 14*d + 17. Let g be k(-15). Let n = -12 - -110\/9. What is the fourth biggest value in g, -5, 0.5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2919, -3206, -3491, -3774, -4055, -4334, -4611?\n\"Answer: z**2 - 290*z - 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 2*c - 1. Give m(-9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*z + 2*z + 8 = 1 - 5, 13*z = -4*d - 39 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127717 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -388, -582?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30 (b) -1 (c) -2 (d) 27 (e) 0.1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 70. Calculate the common denominator of 2\/d*1695\/(-6) and 1 - 1*74\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 1546*r**2 - 2*r - 1450*r**2 - 2*r + 4454*r**2 - 1454*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(6 + -110). Let n(a) = -a**3 - 9*a**2 - 21*a - 36. Let s be n(-14). Suppose s*i - 156 = 1237*i. What is the greatest common divisor of k and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67150490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1673*f + 21. Let l be d(-4). Suppose 2*w + 5*w - l = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11020003202?\nAnswer: -11020003200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 7) to base 11\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93e (base 15) to base 16.\nAnswer: -824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6224655722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.04 (b) 3 (c) 2\/9 (d) -2 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 8. Calculate the smallest common multiple of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4719, -9432, -14131, -18810, -23463?\nAnswer: -28084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 s when four letters picked without replacement from slsllllll?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -544 - -3817\/7. Calculate the common denominator of n and 306\/(-68)*1\/(252\/57) - -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 12*o + 15. Let u be 30\/(-75)*(-1 + (-31)\/(-1)). Let a be w(u). Solve -4*g = -g - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-30))\/((110\/11)\/(-60)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**2 - 13*n + 1. Let j(g) = 2*g + 0*g + 4*g - 11*g + 3*g. What is o(j(a))?\nAnswer: -32*a**2 + 26*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 15 + 5 - 20.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 16*t**2 - 6641*t + 668907. Calculate h(172).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 109791564?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 3:16 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/7)\/q*q)\/(q\/(q**(-1\/3)\/q))*((q\/q**(-4\/5)*q*q*q)\/q)\/(q\/q**(-3)))**(-1\/24))**(-31) assuming q is positive.\nAnswer: q**(-1829\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1408 and 14646720?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5*h**2 + 7*h + 10. Let v be t(-4). Is 1\/((-902)\/452 - v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:40 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/5 + 11*x**2 + 463*x\/5 - 6279\/5 = 0.\nAnswer: -39, -23, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(3*a + a - 9*a)*(93*a - 174*a - 86*a).\nAnswer: 835*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (194 - 196 - (0 + 1 + -1)) + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 - 911 = -10*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55297, 111008, 166719, 222430, 278141, 333852?\nAnswer: 389563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-9.29.\nAnswer: 37.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2223 + 3310. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 19*b**2 - b - 11. Let o(l) = -2*l**2 - 3*l + 1. Let p be o(-4). Let k be u(p). Suppose k*q - 7838 = -2454. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 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 -d - 8 = -5*g, 6 + 4 = 5*d. Solve -g*t + 6*t = 4*z, -4*t + 2*z = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 - 151*k**2\/6 - 311*k\/2 - 471\/2.\nAnswer: (k - 157)*(k + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100261*b - 50077*b - 50184*b - 469*b**3.\nAnswer: -469*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxxxxr. Give prob of sequence rx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 = 3*f. Let h(b) = -b - 10. Let t be h(-13). Solve v + 1 = f, t*v - 4 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*q + 458*q - 1098 = -147*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360855 and 1815?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(252) + -1 + sqrt(252) + 4 - (-1*sqrt(252) + 0)))**2.\nAnswer: 3888*sqrt(7) + 81972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, -4 in descending order.\nAnswer: 2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m - 2*m)*(2 + 4 - 4) - m - 2*m + m + m + 0*m - 2 + m - 4*m + 1 - 1 to c + i*m and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let z be g - 0*(-1)\/5. Suppose z - 9 = -x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1428578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3110835, -6221659, -9332479, -12443295, -15554107, -18664915, -21775719?\n\"Answer: 2*y**2 - 3110830*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -12, -30, -66, -126, -216, -342, -510?\n\"Answer: -u**3 + u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - a - 3, -3*a + 2 - 1 = 2*g. Let o be (5 + -5)*g\/(-2). Solve -6*k + 2*k + 6 = -5*x, o = 5*x - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49\/16 + -3. Which is smaller: -4\/7 or w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584975.59 rounded to the nearest ten thousand?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (19764\/432)\/(2\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r + 24*r + 55 + 33 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278 - 285. Put 0, -2, z in decreasing order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.8, 0, -5, -120.9 in descending order.\nAnswer: 0.8, 1\/4, 0, -5, -120.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 11*m - 7. Let k be p(14). Let g = k - -53. What is the tens digit of (-930)\/(-12) + 2\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5*(-4)\/(-4))\/(-1). Suppose 0 = -3*r - 4*k + 53, -a*k = -22 - 3. Let y = 4 - -5. What is the lowest common multiple of y and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 + -393\/2. Let g = -9.78 - 0.22. Let p = g + 5. Put p, z, 0.2 in decreasing order.\nAnswer: 0.2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**2 + 129*h**2 - 1 - 201*h**2 + 1.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 779, 769, 749, 713, 655?\n\"Answer: -n**3 + n**2 - 6*n + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121) - -1*sqrt(121))*2 + sqrt(121)) - sqrt(121) - sqrt(121)) + sqrt(121))\/(1*sqrt(11)*4).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76993407 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54024106 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 30 = 0. Let c(r) = -4*r + 23. Let q be (-20)\/(-2) - (2 - 1). Let w(a) = -a + 6. Let z(n) = q*w(n) - 2*c(n). Calculate z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5\/4 + q**4\/4 + 3*q**3\/2.\nAnswer: -q**3*(q + 1)*(5*q - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1771142813 to the nearest integer?\nAnswer: 42085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 2, w: 4, z: 1}. What is prob of sequence zuw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314 + 433. Put 0, 2, h in ascending order.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 910 - 216. Let o = 694.0000459 - h. Round o to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355648 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-133)\/(-15) - (6\/9 + -1). Let a = 222\/25 - t. Is 1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-85) - (17\/4 - (-3842)\/(-680)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z. Let a(k) be the second derivative of 23*k**4\/12 - 366*k. What is a(o(l))?\nAnswer: 828*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3 + w**2 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67\/108 + -299\/297. Calculate the common denominator of -87\/56 and z.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 2*n + 4, -5*n = 10. Suppose -4*t - 3*l + 37 = -k*l, -l = -2*t + 11. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/15 - (-96)\/15. Let v be -2*a*3\/(-12). Solve 5*q - 5*r - 20 = 0, -2*q + v*q - 2*r - 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2700796 and 16.\nAnswer: 10803184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 9. Let q(m) = m**3 - 5*m**2 - 5*m + 6. What is the remainder when q(6) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 - 7065*k**3 + 4246425*k**2 - 101791875*k = 0. What is k?\nAnswer: 0, 25, 1165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a - 9. Let x be m(2). Suppose x = 5*y - 2*y. Solve 5*z - 2 = 2*p, y*p - 2*z + 5 = z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 + 66. Let a = -48 - r. Solve 3 = -4*m - 6*c + c, -a*c + 5 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + -7 + (-1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 104.2044. Let s = j + 0.168. What is s rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -26*l**2. Let g(o) = 6*o + 16. Let y(t) = -2*t - 5. Let w(c) = 5*g(c) + 16*y(c). Determine x(w(a)).\nAnswer: -104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53366964 and 1.\nAnswer: 53366964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) -0.01 (c) 14 (d) 0.1 (e) -47\/54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 77 - 12 = -5*t, 3*t - 31 = -5*s. Let z = t - -3. Suppose -2*o = -5*p - 7, 2*o + 4*p + 15 = 67. Calculate the smallest common multiple of o and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231220003 + 211130?\nAnswer: -231002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Suppose 3*i + 313 = 310. Let n(f) = -4*f**3 + 0 + 2*f**3 + 6. Calculate i*n(q) + 4*o(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 338642.41 and 7.\nAnswer: 2370496.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = -959*s + 652 + 36 - 59 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n - 2)*(n**3 - n**3 - 3*n**3) - 4 + 2*n**4 + 4 + (n**2 + 2*n**2 - 2*n**2)*(0*n**2 + 3*n**2 - 2*n**2) + (-9*n + 2*n**2 + 9*n)*(4 - 4 + 3*n**2).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1575)*-6 + (2*sqrt(567)*-1)**2.\nAnswer: -90*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, 4 in ascending order.\nAnswer: -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 24?\nAnswer: 37\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140992245.9966 less than -15?\nAnswer: -1140992260.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*(-22 + 43). Suppose -5*q + 4*u = -47, q - 3*u - 44 = -4*q. Are l and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h\/h**(-9\/2)*h)\/((h*(h*(h**(1\/4)\/h)\/h*h)\/h*h*h*h)\/(h\/(h**13\/h))) assuming h is positive.\nAnswer: h**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 3*g**2 - 2*g + 8. Let w be v(4). Let d = -13 - w. What is the third derivative of 7*b**2 - 13*b**2 - d*b**4 - 4*b**4 wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68.80579 decades?\nAnswer: 8256.6948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 9. Let b(a) be the second derivative of -a**3\/6 + a**2 + a. Let u be b(-7). Solve x - o = -4*x, n - 4*x = -u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 38, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 43*m**2 - 10*m - 12. Let p(f) = 22*f**2 - 4*f - 5. Calculate 10*p(u) - 4*x(u).\nAnswer: 48*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187*n - 1092*n + 2282*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:07 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 3*l + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-2)\/(-6)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 50 = -5*f. Let a(s) = -s**3 + 10*s**2 + 3*s + 5. Is a(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8550*f**3*l + 33*f**3 + 106 wrt l.\nAnswer: 8550*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*s + 55127, 6*f - 14730 = -4*s + 29390. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 25*f = 0, -28 = -4*t + 5*f. Solve 4*q = -q - w - t, -2*w + 8 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6845.4\nAnswer: 6847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4\/(-6))\/((-500)\/5535 + (-78)\/(-1053))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 75*h - 1080.\nAnswer: 5*(h - 9)*(h + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/1)\/((-15)\/(-350)). Suppose -5*h - 4*k + u + 14 = 0, 4*h = -4*k + 68. What is the lowest common multiple of (-168)\/(-49)*14\/3 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.1034.\nAnswer: 0.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*u - 162 = 0, -2*h - 103 = -4*u + 67. Is -75 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 k when three letters picked without replacement from ppopxoppokbo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**22)))\/(d\/(d**(-17)*d)) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3472)\/(-196) - 18)\/((-10)\/(-28)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/7 (b) -1\/9 (c) 5.3 (d) 97020\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-16 - -36 - 8) + (-9 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**6\/30 - r**4\/6 + 15*r**2. Find the second derivative of s(k) wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*x - 5*r - 323, -3*r + 155 = 2*x. What is the remainder when 86 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 22604348*b**2 + 90417389*b\/2 - 22604347.\nAnswer: (b - 45208694)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -1.2. Let q be (-9)\/(-6)*(-4)\/21. Let b be -3*(1 - (-16)\/(-36)). What is the nearest to q in h, b, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/8 - 135*b**3\/2 - 408*b**2 - 2*b - 164. Factor f(j).\nAnswer: 3*(j - 272)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1 + (-9 + 23)\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117 - 1085 = 2*f. Let d = -6 + 3. Sort d, -5, f in increasing order.\nAnswer: -5, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose 3*a = l*f - 12, 2*a + 4 = 5*f + a. Let m be 2 - (-3)\/(-9)*7. Is m at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -518 - -2622. Let q = 4773 - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncoonnrssrtso. What is prob of sequence to?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:45 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665761429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j**4 + 73*j**3 - 282*j**2 - 292*j - 8 = 0. Calculate j.\nAnswer: -2, -1, -2\/71, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4188 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/((-1)\/6). Calculate the lowest common multiple of (-10)\/q*128\/(-20) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.3? (a) 1\/2 (b) -3\/32 (c) -1 (d) -1\/10 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -33*k**2 - 9*k - 175. Let n(c) = -17*c**2 - 4*c - 87. Let a be (-1 - 2)\/((3 - 4)\/1). Let d(u) = a*j(u) - 7*n(u). Differentiate d(v) wrt v.\nAnswer: 40*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vwwvwwvvvvvvw?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4069896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23822 by -99.\nAnswer: -23822\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -83, -213, -435, -773, -1251, -1893?\n\"Answer: -4*a**3 - 10*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6277474 divided by 718.\nAnswer: -8743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + b + 12 = 6*c, -5*c = 5*b + 15. Let 0 - 2\/5*l**c + 2*l**2 - 8\/5*l = 0. Calculate l.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/11349 and 5\/117?\nAnswer: 11349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 4 (c) -1\/2 (d) -1 (e) 2\/43 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-36134)\/(-8) - (-33)\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*a**2 + 47*a**2 - 40*a**2 - 78*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**2 + 5. Let i(d) = -d**3 + 1. Calculate 3*i(k) - z(k).\nAnswer: -2*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40, -5, -0.21, 0, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -7*k + 50, -4*k + 15 = 2*m - 3*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l**2 + 12*l + 12. Let r(n) = n**2 + n + 1. Let k(d) = d**3 - d**2 - d + 3. Let s be k(0). Suppose -3*g + s + 0 = 0. Calculate g*m(p) - 12*r(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, 118773 in increasing order.\nAnswer: -2, 2, 4, 118773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -1 (c) 0.09 (d) 2 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 80 = -6*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((3\/(-15))\/(3\/3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*u*y**3 + 28*u + y**3 + 128*y**2 - 39*y wrt y.\nAnswer: -450*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7520 and 18496.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 + 4, y - 17 = 5*z. Suppose -19*s + 24*s = -3*m - 538, 2*s - 3*m + 232 = 0. Put s, y, -5 in ascending order.\nAnswer: s, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2464 - 2509. Let j(k) = 9*k**2 + 4. Let i(h) = -100*h**2 - 45. Calculate g*j(m) - 4*i(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f**2 + 2*f - 14. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(-2*sqrt(10)))\/(-1*sqrt(5)*-1 + sqrt(5)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 21801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -7*n**5\/30 + 13*n**3\/3 - 11*n**2. What is the first derivative of b(x) wrt x?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12847 and 812.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02063473 to five dps.\nAnswer: -0.02063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -693268 divided by 346634?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/12 - 13*y**3\/6 + 12*y**2 + 13*y. Let v be c(12). Suppose -v = 3*u, -5*m - u = u - 7017. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 0.02 (b) -1\/1661 (c) 8 (d) -0.02 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453319.\nAnswer: 227, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 = -29*m + 69. Solve m*y = y + 2*u - 6, 4*y = -u - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 2. Let m(i) = 68*i + 149. What is -6*l(u) + m(u)?\nAnswer: 32*u + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 49 - 53 = 0. Let x = -21 - t. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/(-50)*3*(-40)\/(-75).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -94*c + 149. Let r(k) = 319*k - 523. Let n(o) = 17*l(o) + 5*r(o). Calculate n(-15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d. Let r(x) = x**2 + 3. Let m(a) = -35*a**2 - 84. Let c(h) = m(h) + 28*r(h). What is c(s(f))?\nAnswer: -1008*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 296 = 34. Sort -2, r, 4 in increasing order.\nAnswer: -2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070571?\nAnswer: 29, 71399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 601\/9 + -67. Let n = 15 - 14.7. Sort n, 2, q.\nAnswer: q, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46612*u**3 + 19599*u.\nAnswer: -279672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4*g = 0, 5*v - 140 = 4*g. Let w(f) = 2*f**3 + 2*f**2 - 4*f - 7. Suppose -11*z = -15*z + 12. Calculate the remainder when w(z) is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/8 - 2585*o**2\/8 + 39173*o\/4 - 33995 = 0.\nAnswer: -2615, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -425 + 446. Solve -z*h = -26*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/1621? (a) 2\/5 (b) 93 (c) -4\/9 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16193565 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-21)*6*1\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m + 48. Suppose -5*j - 4*d = -20, 3*d - 7*d + m = 4*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3 - 6 + 2*y + 3. Let n be a(4). Suppose n*w - 15 = -3*d, 4*w - 5 = 7*w - d. Solve u + u = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, 2, -323?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from gxxsgxxxrgsxkggxgxx?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25462.9 rounded to the nearest ten?\nAnswer: 25460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(52)\/(4*sqrt(2)))\/sqrt(2))**2 + (0 + sqrt(13) + sqrt(1053)*3 + sqrt(13))**2*2.\nAnswer: 349789\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -23*v - 12. Does 16 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6130)\/12873*(-14)\/(-8)*84\/160?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 154975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15064725510 rounded to the nearest 100000?\nAnswer: 15064700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + -4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 232 in 4, -1, 1\/9, 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1508127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512506748.\nAnswer: 2, 13, 1699, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 217564.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 2, -3 in descending order.\nAnswer: 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 2860216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*w + 60, 138 = -93*c + 96*c - 5*w. Calculate the highest common factor of c and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9229 is divided by 4163.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*v + 138, 3*v - 928368*b - 78 = -928371*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 2. Let n(a) = -5*a + 9. Determine -11*l(o) + 2*n(o).\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.923273cm?\nAnswer: 79.23273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64140130 to the power of 1\/2, to the nearest integer?\nAnswer: 8009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -14 (b) 2 (c) -6 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-253)\/(-644)*-4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 6340715.\nAnswer: 12681430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3636b47 (base 13) to base 7\nAnswer: 262605511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15054 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -12*q. What is the third biggest value in q, -0.06, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -5, 29, -7, 4 in ascending order.\nAnswer: -7, -5, -3, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6103695?\nAnswer: 3, 5, 13, 113, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6138403 to the power of 1\/2, to the nearest integer?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 52, 135, 260, 439, 684, 1007, 1420?\n\"Answer: 2*i**3 + 3*i**2 + 30*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*j - 2*s, 3*j = -2*j - 4*s - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 30 + l**2 + 19002770*l - 19002770*l + 2*l**2.\nAnswer: l**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4177416833 to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Suppose v + 2*n - 12 = 0, -2*v + 18 + 4 = 3*n. Let b(m) = v*m + 27*m + 4*m. Give b(z(p)).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/2 + 1453*d**3\/2 - 2184*d**2 = 0. What is d?\nAnswer: -1456, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/1561 (b) 0.11 (c) 5 (d) -4 (e) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -13686 (base 10) to base 7.\nAnswer: -54621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.3? (a) 23 (b) -3\/2 (c) 2\/9 (d) 0.02 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 4. Let r(a) = 2. Let c(l) = -2*r(l) - s(l). Let z(d) = 5*d**2. Calculate c(z(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4828918 is divided by 547.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = a + 6*a + 4*x + 4, -31 = 4*a - 9*a + 3*x for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1.18. Let v = -1.7 + -2.3. What is the third biggest value in d, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 989325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 48 = 3*v. Let f = 20 + v. Let w be f\/10 - 146\/(-10). Calculate the highest common factor of 105 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.31 + 36.81. What is the biggest value in -1, -2\/5, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*l - 168*l - 171*l - 170*l + 838*l - 165*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 108 - 547 = 0. What is l rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(2\/30). Let j = 1 + 2. Suppose -i*g + 165 = 4*m, j*g = -5*m + 3*m + 83. Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 218768 and 24.\nAnswer: 656304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89628482 is divided by 2817.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45958\/9 + -5106. Let t = 28.5 - 29. Which is the closest to r? (a) t (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331005?\nAnswer: 3, 5, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 345.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*c + 139 = -281, -5*c + 1080 = 5*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -40. Suppose j = 5*y - 4*d + 28, 0*y + y + 3*d = -17. Let i = y - -19. What is the remainder when 20 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (-5 + sqrt(13) + 2 + sqrt(13)) - (sqrt(39)\/sqrt(75))**2.\nAnswer: -sqrt(13) + 62\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 4 = 0. Suppose -3*u + c = -7, u - k = -3*u + 4*c. Solve u + 3 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 53*u**2 + 1. Let w(c) = -78*c**2. What is w(f(i))?\nAnswer: -219102*i**4 - 8268*i**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 23*t = 6. Suppose -513 = -3*g + m, 2*g + t*m - 167 = 186. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 423 = 383. Solve d*k - k = -28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 4*v**2 - 26*v - 20.\nAnswer: 2*(v - 5)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 5\/8762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -210*y + 895. What is t(4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 29 = -3*b - r, 0 = 5*b - r - 9. Solve -5*l - 5*m - 12 - b = 0, -5*l - 15 = -m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 27795*z - 305632. Give t(11).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 - 2*c - 22. Let z(q) be the first derivative of 2*q**3 + 3*q**2\/2 + 23*q + 3. Let a(m) = 7*j(m) + 6*z(m). What is the tens digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/8 + r**3\/2 + r**2. Let l be (8\/(-4))\/(-2 + 0). Let q = -3 - l. What is g(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*u + 10 = 0, -5*v + v = 2*u - 4. Suppose v = 5*x - 36 - 29. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 51219031\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(112) + 1 + 4.\nAnswer: 6 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12402 + -3793. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001 and 1568809?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -938 - -613. Let k = -325.347 - q. Round k to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31816 and -0.604540189.\nAnswer: 31815.395459811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*r + 28*r + 9400 = 0. Calculate the greatest common divisor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340832 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 13 = -4*x - 2, 0 = 2*p - 2. Suppose -2 = -r + x. Let q be ((-2)\/r)\/((-1)\/5). Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1237 - a?\nAnswer: 122b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -58. Does -2.7 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4164 + -4152. What is the remainder when 767 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106, -113, -124, -139, -158?\n\"Answer: -2*a**2 - a - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 943 - 746. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 3. Let h be s(0). Let f = -4767 + 4767. Suppose -4*x + f*l + 25 = -5*l, -h*l - 15 = -3*x. Solve x = -2*p + 4 - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1055193 (base 15) to base 8\nAnswer: 54367274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 19*n**3 - 8*n**2 + 5*n - 3. Let t(j) = 58*j**3 - 26*j**2 + 16*j - 10. What is -16*m(x) + 5*t(x)?\nAnswer: -14*x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -189 * -0.211802\nAnswer: 40.030578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.7 + -7. Let p = -3.6 + 4.6. What is the third smallest value in b, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -11. Suppose -3*z = -4*u - 0*z + 18, 0 = d*u + 3*z - 24. Calculate the common denominator of ((-106)\/u)\/(88\/12) and -47\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400274 (base 10) to base 16.\nAnswer: -61b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -252340.407 rounded to the nearest 10?\nAnswer: -252340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 18?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -631.42290236 - 1.\nAnswer: -632.42290236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 20, -2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -143*i**2 + 123*i + 317. Give n(-2).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101010000100000 (base 2) to base 10.\nAnswer: -152608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756332053 a multiple of 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 5, -5, -0.06, -73?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4804 or 4782?\nAnswer: 4782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6195)\/(-118)*(-3)\/(-45)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3404247 by -3404247.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187)*-1 - sqrt(187) - sqrt(187))*-1 + (sqrt(187)*2 + sqrt(187))*-6)\/(sqrt(55)\/(sqrt(15)\/(sqrt(12)\/sqrt(4)))))**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 431 + -527. Let d be (-5)\/(15\/r)*2. What is the greatest common factor of d and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-3)\/(-2 + -1). Let p = d - -9. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/2, 2\/13, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 - j - 3. Let o be n(3). Let v = -6 - -5.91. Let r = -0.39 - v. Which is the nearest to r? (a) 5 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 74606.2?\nAnswer: -298424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 9*q + 2*q**2 as t*q + j + m*q**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 - 212.8. Let u = -39 - d. Round u to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 82 + 36 = -3*l, 4*h + 2*l = 220. Suppose -x = -m - 7, -x - h = -4*x - 4*m. Let r be (x - 4) + (-7 - -3). Solve -c + 2*c = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*i + 409 + 63 - 73 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -1, 22 in descending order.\nAnswer: 22, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -496 + 480.67. Let j = -2.07 + a. Round j to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 1. Let s(v) = 7*v + 6. Let t(x) = -x**3 - x**2 + 3*x + 1. Let f be t(-2). Let j(z) = f*s(z) - 5*y(z). What is j(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 5747.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19*(-6)\/12)\/(2\/(-4)). Let c(y) = 13*y - 57. Is c(g) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096542 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16*(-23)\/(-1) + -23 + 17. Let u = 1079 - y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence giig when four letters picked without replacement from {i: 10, g: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + sqrt(175) + 1 + -5 - (3 + sqrt(175) + 0)**2.\nAnswer: -188 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/5 - -8) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222101122022 - 10?\nAnswer: 222101122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27413.\nAnswer: 79, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -102101 (base 7) to base 15\nAnswer: -52e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311132 (base 4) in base 5?\nAnswer: -1000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252) + (sqrt(252) - 5*sqrt(252)*-1))**2 + 2.\nAnswer: -252*sqrt(7) + 12359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = -9. Let j(o) = o**4 - o**3 - o**2 - o + 1. Let g(i) = 7*i**4 - 2*i**3 - 7*i**2 - 4*i + 3. Let h(k) = q*j(k) + g(k). Solve h(n) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:21 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 + 10*f**2 - 7*f + 6. Let s(m) = m**3 - m**2 + m. Let w(v) = 5*s(v) + t(v). Give w(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 46*y**2 - 69*y + 1486. Calculate k(23).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13136040 and 2627208.\nAnswer: 13136040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 46*r - 269. Give j(51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1305\/9*-2*-1*(-4)\/(-80).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m - 5. Let n(l) = -31*l + 14. Let w = 3171 - 3177. Give w*n(i) - 17*g(i).\nAnswer: 16*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 0*c + c + 8 = 2*c, -37*v - 3*c = -228 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150399 + 0.02?\nAnswer: -3150398.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1)\/5*-20*16\/(-128)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iguu when four letters picked without replacement from iisugu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*c**3 + 42*c**3 + c**3 + (-4*c + 2*c + 4*c)*(2*c**2 + c**2 - 5*c**2) to h*c + o*c**2 + q*c**3 + j and give q.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 351017229.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0353 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 13 - (-1 - -10)) + -7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695836\/108 - 7 - 2 - 10\/(-135)?\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1392)\/234 + 6)\/((-27)\/(-117)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(175))*6 - 5*sqrt(175)*1 - (sqrt(175)*-1 + 1 - sqrt(175))**2*-6) + -4 + 0.\nAnswer: -115*sqrt(7) + 4196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-2))\/((-12)\/40). Suppose u = -3*x + 4*p, -5*x - 10 = -p - p. Suppose x*a + 5*a = 10. Are 1\/2 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q = 36*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l*l*(l*l**2*l)\/l)**(-2\/31)\/(l*l\/l**(2\/9)*l**(-2\/17))**(12\/5) assuming l is positive.\nAnswer: l**(-36596\/7905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 288043 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 3 (c) 1\/2 (d) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from qqqhhq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/((b**9\/b*b)\/b*b))*b**(-28)*b assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*d - 28, -3*g + 4*d = -4 - 3. Let q be g\/(-9)*12\/1. Let o(z) be the second derivative of -z**4\/12 + 7*z**3\/6 - 3*z**2 - z. Give o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t - 2*p, 2*t - 14*p + 9*p - 50 = 0. Let o be 2\/(-4) - (-183)\/6. Calculate the greatest common factor of t and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wql when three letters picked without replacement from {l: 1, w: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 13, 1, 3, -10 in increasing order.\nAnswer: -12, -10, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*1943008.7.\nAnswer: 252591.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1396.\nAnswer: 6980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 2*v**4\/3 + 39*v**3 + 29*v**2 - 110*v - 1. Suppose g(o) = 0. Calculate o.\nAnswer: -29, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.337 minus 4?\nAnswer: -5.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2 - 2 + (-4 + 1 + 2)*(9 - 3*i - 9).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038258907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npdnxggl. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:48 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/(-12) + 4\/16. Let j be (24\/16)\/(3\/y). Let k(l) = -5*l - 3. Calculate k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 + 441. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4912398, 4912386, 4912360, 4912314, 4912242, 4912138?\n\"Answer: -u**3 - u**2 - 2*u + 4912402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6 + 2*w**5\/5 + 5*w**4\/6 + 2*w**3\/9 + 5. Let z(r) = 0. What is r?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(-43))\/h*h)\/(h\/(h*h\/(h\/(h\/h**(-2\/49))*h))))**(3\/5) assuming h is positive.\nAnswer: h**(6621\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 l, and 1 p when four letters picked without replacement from lntlp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 21. What is r(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7507952 divided by 248.\nAnswer: 30274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5419.99 and 4.\nAnswer: 5423.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*a**(-6)*a)\/a)*a*a*a**(-4)*a**5*a*a\/(a*a**(1\/3))*(a**(-1\/8)*a*a**(-2\/3))\/(a\/(a*a\/(a**0\/a)))**36 assuming a is positive.\nAnswer: a**(655\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*n - n = -40, 4*s = 5*n - 5. Let k be 112\/s + (-12)\/30. Let i = k + -14. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -225752 at most -225739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 108805 times 3?\nAnswer: 326415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -342. What are the prime factors of t?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/6 + 53*a**2\/2 + 9*a. What is the remainder when 89 is divided by k(22)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111001110011000110100 - 101?\nAnswer: -10111111001110011000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 21. Put 1, 2, l in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*o - 24, -2*o - 28 = -11*h + 7*h. Solve 0 = -2*c + h*t - 2, t - 10 = -5*c - 4*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = 0. Differentiate -3*u**4 + 3 + 17*u**2 - 17*u**2 + r with respect to u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 3864a?\nAnswer: -38644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldldddllddld. What is prob of sequence dddd?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 85. Let q = p + -38. Which is the third smallest value? (a) q (b) 0.01 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4037\/6912 - 95\/256. Calculate the common denominator of 19\/24 and b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(191*k - 189*k - 3*k**2 + 16277 + 15322 - 9416) to b*k + p*k**2 + g and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from prkkrkkkpkkkrkk?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 36, 24, 4, -24, -60, -104?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -221, -283, -345, -407?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**2\/4 - 14568305*z\/2 + 4856102 = 0.\nAnswer: -9712204, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-8)\/(-6)*1. Let z be (-2)\/1 + h\/(-2). Let i(u) = u. Calculate i(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439 * -3\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 289\/11, -3\/5, -1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22155 + -0.07845. Let u = -1 - -1. Which is the nearest to 3? (a) 11 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 9. Let u be n(0). Let c be (-1 + 4)\/(u\/(-12)). Let j(t) = -3*t**2 - 2*t**2 + c*t**2. Let x(k) = k. What is x(j(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801486?\nAnswer: 2, 3, 7, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybbf when four letters picked without replacement from {b: 5, a: 1, f: 5, y: 4}?\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*39\/((-12948)\/(-1909)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-105 - 5*v + 105) to the form x + k*v and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-30 + (-4 - 0)). Let m(l) = -d - l + 3*l + 22 + 16. Give m(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 8*l**4 + 443*l**3\/3 + 497*l**2\/3 - 1627*l\/3 + 221 = 0.\nAnswer: -17, -3, 13\/24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4\/3 (c) 0.1 (d) -1005332\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - f - 3. Let b(w) = -w**2 - w - 2. Let o(j) = 3*b(j) - 2*p(j). Let i be o(2). Is i bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*b - 13779 = 0, -b - 8229 = -3*c + 3*b. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211032201 (base 4) to base 3\nAnswer: 210001202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 83733, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413439.\nAnswer: 3, 13, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3135 is divided by 3129.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 2. Let b = 5 - 5. Suppose b = -z - 2 - 1. Let n be s(z). Sort n, 2, -5 in increasing order.\nAnswer: -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 + 81*b**3 - 31*b**3 - 7*b**3.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f - 4. Let r be (f - 3) + 1*95. Suppose y + y + r = 0. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 257226?\nAnswer: 1028904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/5 + 1584*b**4 - 31653*b**3\/5 - 87142*b**2\/5 + 522528*b\/5 - 569952\/5 = 0.\nAnswer: -4, 2, 3, 7916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qevvveqv. Give prob of picking 2 v and 2 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1792 - 1782. Calculate the smallest common multiple of n and 1238.\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 2*k**2 - 2*k. Let i(p) be the second derivative of -p**3\/3 + 5*p**2 + 21*p. Let j be i(2). Let b be (-25)\/15*j\/(-5). What is z(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28 - 9 - 79\/7. Let -3*y**4 - 3\/7*y**5 - b*y**3 - 9\/7 - 66\/7*y**2 - 39\/7*y = 0. Calculate y.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**2\/2 - c - 2. Let f be j(1). Let k = 1\/45 - 101\/495. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4495 + -3928. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 3. Let u be (-62)\/(-12) + 2\/(-12). Let j be f(u). List the prime factors of 13 - 4\/j*2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -287*x**4\/4 + 59*x**2\/2 - 145. What is the second derivative of u(a) wrt a?\nAnswer: -1722*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 165945, 663753, 1493433, 2654985?\n\"Answer: 165936*t**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/16 + 49*z**3\/4 - 855*z**2\/8 + 2*z - 771. Solve r(b) = 0.\nAnswer: 3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppwwkneppkppwpww. Give prob of sequence pk.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6354066181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.389084ns to milliseconds.\nAnswer: 0.000002389084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.46 less than 4274851657.2?\nAnswer: 4274851684.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let t = 19 + -19.5. What is the nearest to z in 1, t, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g**2 + 1. Let o be q(1). Let r be o\/18*(-3)\/(-4). Which is the biggest value? (a) r (b) 3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 34*x**2 - 65*x + 38. Determine g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*z + 14 = -5*c, 0 = -2*c + 505*z - 441*z - 136 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*f + 20 = 0, -5*w + 13 + 12 = 5*f. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 49 = 2*q - 0*c, -c - 3 = 0. Let f(d) = -40 + 29 - q*d + 24. Let z(t) = -7*t + 3. Calculate 6*f(w) - 26*z(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13540176.\nAnswer: 2, 3, 13, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6705399?\nAnswer: 3, 37, 193, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2 - o**2 + 2*o - o**2 - 5*o**2. Let f be b(2). Let q = -7 - f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 142*k - 35. Give b(-2).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7. Let l(a) = a - 1. Let h(y) = -l(y) + n(y). Let o be h(-10). Solve 4*m = i - 17, i + o = -2*m - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 55, -4 in descending order.\nAnswer: 55, 19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.8, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1361881 - 5?\nAnswer: -1361886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + -214)*(4 + 52\/(-12)). Calculate the highest common factor of g and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - 0.17. Let q = 1\/30 - -7\/15. Which is the nearest to -1? (a) u (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -1291, -2864, -5065, -7894?\nAnswer: -11351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062248315 rounded to 3 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/145518880?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5.744?\nAnswer: -4.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 9. Let j be f(-6). Let d be 2 - (-1 + j + -3). Suppose 4*o + 8 = -d*m, -2*o + 0*m - 4*m - 14 = 0. Let h(n) = 6*n. Calculate h(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 389 - 391. What is the closest to -0.01 in -11, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s - 277 - 278 + 558 as q + b*s and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -32, -5\/3, -13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 516. Suppose 10*a = k + 269. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34.5, -18, -2.099, 3 in ascending order.\nAnswer: -18, -2.099, 3, 34.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m**2 - m + 4. Let r be h(-7). Which is bigger: 10 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 406.463663 and 16939.\nAnswer: 17345.463663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 398496032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 397464469031.9.\nAnswer: 397464469031.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 26. Let y be p(6). Is -3 + (516\/15 - y\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 21655467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 84? (a) -3\/4 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*q - 8*q + 108, -242 = -5*t + 2*q. Let p = -10 + t. Suppose -21 - 55 = -4*d. Calculate the remainder when p is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Suppose c - 6 = 4*w - 5*w, 4 = w - c. Let y(j) = -w*j - 3 + 1 + 2. What is x(y(z))?\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4264.14 take away 1.027?\nAnswer: -4265.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-2)\/(2 - -2). Suppose 0 = -4*g - v*f + 59, -68 = -5*g - 5*f + 12. Suppose g*r = 6*r + 5585. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112045 (base 11) to base 15\nAnswer: 37cd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 960803 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2170 divided by 11676\nAnswer: -155\/834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*-2*3 + -3*-2*sqrt(65))*1)\/(-2*sqrt(500)*1 + 4*((sqrt(500) + (1*sqrt(500) - sqrt(500) - sqrt(500)) - sqrt(500)) + sqrt(500))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/61 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/87, 3\/10, 1\/5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 1 + 7 + 41*z - 5.\nAnswer: -6*z**2 + 41*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2331, 4635, 6913, 9165, 11391, 13591, 15765?\nAnswer: 17913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 470*d**3\/3 - 1849*d**2\/2 + 3257*d. What is the derivative of i(u) wrt u?\nAnswer: 940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 - 8. Let d(h) = -h**3 + 16*h**2 - 17*h + 37. Let f be d(15). Give z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from knnkii?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7380, 30186, 68196, 121410, 189828, 273450, 372276?\nAnswer: 486306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 6. Let a be n(3). Let u(g) be the first derivative of 0*g**3 - 12\/5*g**5 - 3\/2*g**6 + 0*g + a*g**2 - g**4 + 1. Suppose u(r) = 0. Calculate r.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 112975*g**3 - 22*g + 10*g - 1.\nAnswer: -112975*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q = 19*q - 135. Let b(i) = -i**3 + 2*i**2 + 9*i - 13. Let z be b(q). Solve 0 = z*s - 51 + 56 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -26 - (-1 + 8)) + -14\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 0. Suppose 6*r - 4*i = 2*r + k, -5*r + 3*i = -18. What is the lowest common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Let i(c) = c**3 + 6*c**2 + 4*c - 3. Let l be i(-4). Let p = l + 0. What is the remainder when p is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*x**4 - 3*x**3 + 228*x + 8438.\nAnswer: -60*x**3 - 9*x**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 - -0.03. Which is the smallest value? (a) 5 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56798.6 equal to -2\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46122672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.4897 tonnes to micrograms.\nAnswer: 989489700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -d + 18. Suppose -r - 4*r = -4*v + 33, -2*r - d = -5*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13)*-2)**2 + (sqrt(104)*-2 + sqrt(104))\/sqrt(8).\nAnswer: -sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2691084 by 6.\nAnswer: 448514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2 + 18*n + 29. Let m be o(-9). Let d = m - 358. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a32 - -1?\nAnswer: a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-33))\/(9\/891*-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232\/3 - 77. Let l(t) be the first derivative of -4 - t**2 - f*t**3 - 2*t. Determine l(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32983, -31677, -28137, -21247, -9891?\nAnswer: 7047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n. Let o(x) = -22*x - 16. Let t(w) = -w - 1. Let r(d) = 3*o(d) - 48*t(d). Let k(y) = -4*r(y) - 9*v(y). Let q(a) = -3*a**2. Calculate q(k(c)).\nAnswer: -243*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 66*h - 30. Let a be u(-17). Let m = -6 + 16. Is (-2)\/(-10) + (4832\/m)\/a 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 -642*b**3 + 252*b?\nAnswer: -3852*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y - 229. Calculate p(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -59, -71?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let q(t) be the second derivative of -83\/6*t**3 + 68*t + 0*t**2 + 0. Determine q(k(m)).\nAnswer: 166*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 3*a**3 + 7*a**3 - 4*a**3 + 3*a**3 + 3*a**3 + (-5*a**2 - 2*a**2 + 6*a**2)*(-2*a + 3*a + 0*a))*(-5 + 0 + 3 + (0 + 1 - 3)*(2 - 3 + 2) + 3 - 4 + 3).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*2)\/sqrt(10) + sqrt(450)*-2)\/(1*(-5*sqrt(1000) + sqrt(1000)) - sqrt(1000)).\nAnswer: 2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 539*b + 3. Calculate the remainder when 196 is divided by f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p + 4. Let v be ((-4)\/(-6))\/(p\/3). Suppose k + 7 = 4*d, -4*d + 7*d = 5*k + v. Solve 0 = -d*i + 2*m - 8, -6*i + 2*i = 2*m - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 3*j - 156, -j - 256 = -5*b. Suppose -47*k = -b*k - 36. Let c(o) = 5*o - 2. Let q(f) = -11*f + 3. What is k*c(d) - 4*q(d)?\nAnswer: -d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -23337.464 to the nearest 10.\nAnswer: -23340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10100 and 6 + (-11)\/55*25?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40b6 (base 12) to base 13\nAnswer: -3294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p + 3*p = 0. Let y(r) be the first derivative of -1\/3*r**2 - 1 + p*r + 2\/9*r**3. Factor y(v).\nAnswer: 2*v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 9*u**2 - 68*u - 10. Let w be b(5). Put -1079, w, 5 in ascending order.\nAnswer: -1079, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2303*w - 161308 = 989*w for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 5*(-2)\/(-5). Suppose -i = -12 + p. Suppose 0 = -5*g - 15, v = -0*v - 3*g + 18. What is the greatest common divisor of i and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 30365 - 6415 = 0. Factor 1839 - v**3 - s - 2*v**2 - v.\nAnswer: -v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093805071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 + 5*w. Suppose -2*u - 4*b = -24, 2*b - 38 = -5*u - 10. What are the prime factors of d(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 3:28 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:03 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253535042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11192 - 11208. Let j = 1.3 + -0.3. Which is the nearest to j? (a) l (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {k: 1, m: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05975 - 0.0516. Round k to 4 decimal places.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -706*f**3 + 3*f**2 - 5*f - 7. Let h be q(-1). Round h to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6.3, -1\/3, -1, -1\/17, 333?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 1 - 3 + 2*v)*(6 + 5 - 22).\nAnswer: -33*v + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 208*u. Let c(i) = 10*i. Let r(g) = -a(g) + 6*c(g). Let s(m) = 8*m**2. Determine s(r(b)).\nAnswer: 175232*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -259 + 598. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65504 + 65519. Factor -z*r + 9\/2*r**2 + 6 + 27\/4*r**3.\nAnswer: 3*(r + 2)*(3*r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 7*l**2 + 7*l - 9. Let k be d(-8). Let i be k - (9*2)\/(-1). Suppose i = 2*y - 17. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289818 is divided by 430.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2134 + -2140. Let y be 0 + -1 - (-5 - -1). Let g(b) = -y*b - 3*b + 5*b. Let w(t) = 7*t + 2. Calculate m*g(q) - w(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(12\/(-73)) + (-4)\/12\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1837288 - 3?\nAnswer: -183728b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15754, -31521, -47320, -63163, -79062, -95029, -111076?\nAnswer: -127215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {k: 1, c: 1, a: 3, b: 4, n: 2, r: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 15783411 and 15783408 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*16\/(-6) - (-3686)\/456?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 - 7*i**2 - 3*i - 8. Let d be l(-5). Suppose -4*h + d = -101. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14675607 or 14675603?\nAnswer: 14675603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1166*a + 0*a**3 + a**3 - 2969*a.\nAnswer: a**3 - 1803*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/187)\/(13\/(-2) + 6\/1)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -103*d - 1730. Let b be t(-20). Solve 28*k - b = -27*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-18)*(-36)\/2. Let x = w + -8. Let u = x + 33. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*n + 18 = 0. Suppose 5*o - 28 = c - n*c, c + 2*o = 12. Solve 0*u = c*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1\/3, -1\/45, -0.2 in increasing order.\nAnswer: -2\/9, -0.2, -1\/45, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-180) - (-4)\/(-40). Let i(u) = u**2 - 7*u + 1. Let l be i(8). Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.06 (c) -2 (d) -45 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/7 (c) 4\/11 (d) -5 (e) 2452.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*v + 2. Suppose v*k = k + 12. Suppose -k + 1 = -5*d. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338686438?\nAnswer: 2, 19, 8912801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*n = 2*w + 4, 3*w = -3*n - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272934556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 8 = -5*v, -v + 8 = x. Let w(n) = n. Let s be w(x). Let q(l) = -7*l + 0*l + 5*l**2 + 0*l - l**3 + s + 2*l. Determine q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6816.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 168. Let u = s + 264. Calculate the highest common divisor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -176*x + 703. Determine m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 4\/3, 0, 9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-7 + 2 + 26) - -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1835, -3668, -5499, -7328?\nAnswer: -9155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y + 2. Let x be c(-2). Let n be ((-2)\/(-4) - 2)\/(8\/(-16)). Suppose x = -3*j - w + 3*w + 131, 0 = -n*j + 4*w + 139. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5. Let h be 0*g\/1*1. Is 1152 + 4\/(-4) + h\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*n - 3*o, -n + 13 = 14*o - 11*o. Let r(g) be the first derivative of -13 + 5\/4*g**n - 10*g**2 + 5\/3*g**3 - 20*g. Factor r(y).\nAnswer: 5*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384732, 769462, 1154192?\nAnswer: 1538922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, c: 2, l: 2, a: 1}. Give prob of sequence lca.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p + 2003578*p**3 - 90*p - p**2 - 2003576*p**3.\nAnswer: 2*p**3 - p**2 - 58*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 8*k - 6. Give z(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3.2. Let j = 1.8 + x. Let p = -3 - -6. Which is the second biggest value? (a) -3 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**3 + 396*h**2 + 3699*h + 2 wrt h?\nAnswer: 42*h + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/462)\/(18\/297)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 - 11490*l + 306657*l + 4*l**3.\nAnswer: -5*l**3 + 295167*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*r + 117*r = -20, -4*c - 5 = -3*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - z**3 + 4 - 13 - 10*z**2 + z as i*z**2 + h*z**3 + p*z + c and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1045\/16 - -525\/8. Find the common denominator of b and (-218)\/28 - (-2)\/7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289139?\nAnswer: 289139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -0.76. Let y = -178 - -177. Which is the closest to y? (a) w (b) -4\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175567 is divided by 176?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 3:35 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.2, -23, -0.92, 0 in descending order.\nAnswer: 0.2, 2\/11, 0, -0.92, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10, -16*w + 19*w - u = 4. Which is the closest to w? (a) -3 (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 29, -0.088, -0.4, -59, -3?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -18, -0.37?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alpwpdaapp. Give prob of sequence ad.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.6 + -12.6. Let m = r - 190. Let c = -112.57 - m. What is c rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*q = -58*q + 2224. Let v = 91 - q. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 6\/(-15))\/(1\/35). Suppose -6*j - 80 = -r*j. Solve 0 = v + 5*z + 12 + j, 3*v - 14 = z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351115949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3424021.\nAnswer: 17, 201413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -759, -1514, -2269, -3024, -3779?\n\"Answer: -755*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 1. Let y be h(1). Let u(n) = -4*n - 2. Let z be u(y). Let k be (-4)\/z*35\/(-45). Which is the closest to 0? (a) -1\/7 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -885, -748, -611, -474, -337?\n\"Answer: 137*m - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d**2. Let c(f) = 5*f + 6. Let y(k) = 7 - 6*k - 19 + 5. Let r(a) = -7*c(a) - 6*y(a). Give g(r(j)).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31982*y = 31977*y - 5*u + 35, 11*y - 2*u + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51257\/28008 - -123\/389. Find the common denominator of g and -55\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 b be 49\/(-14)*(-1816)\/7. Let x = 918 - b. Solve 10*c = 5*c - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2617, -10512, -23671, -42100, -65805?\n\"Answer: -p**3 - 2626*p**2 - 10*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 523 = -3*b. Suppose 4*j = -16 - b. What is j rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/910 - 140\/234\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*g - 14, -t - 2*t - 2 = 2*g. What is the least common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5667 or 5596?\nAnswer: 5667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -659275.7822 and -0.061?\nAnswer: 659275.7212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*n**2 + 24*n + 94?\nAnswer: 34*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 592003756479 - -0.1.\nAnswer: 592003756479.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 8045*s**4\/12 - 825*s**2 - 40*s - 10. What is the derivative of r(l) wrt l?\nAnswer: 16090*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -v + 2*s - 3, -52451*v + 14 = -52448*v - 4*s for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o + 20. Let f(q) = 10*q - 12. Let a(g) = -5*f(g) - 3*u(g). Let w(t) = -17*t. Give a(w(c)).\nAnswer: -119*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 = 2*o + 2*t, -2*o + 803 = -4*t + 159. Suppose o = -3*x + 397. Let u(c) = -c**3 - 6*c**2 - 3*c - 3. What is the remainder when x is divided by u(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 2 - 2\/3*m**3 - 2*m + 2*m**2. Factor z(q).\nAnswer: -2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47060000 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 33 + (-62 - -28) - ((4 - -51) + -4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 9\/22, 141?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 - 19 = 0. Solve -5 = 2*v + 3*v + 5*y, -2*y - l = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - -105?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-109)\/(-3) - (-4 - 10\/(-3)) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 49. Let y be ((-4)\/(-8))\/(2\/a). Let v(k) = k**3 + 3*k**2 - 3*k + 4. Let b be v(-4). Sort -1, b, y in increasing order.\nAnswer: y, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2409, 1504, 611, -264, -1115, -1936?\nAnswer: -2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from naa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-49*(-372)\/651?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iai when three letters picked without replacement from iivvbbviba.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*a**2 - 45*a**2 + 6 + 23 + 93*a**2 in the form b + d*a**2 + t*a and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24488496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(-64 - -8). Let k be -9*(-3 - c\/(-12)). Suppose -2*x + 4 + k = 0. What is the remainder when 12 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 3:49 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*g**4*k - 7*g**4 - 3*g**3 + g**2*k - 39*g**2 + 7*g*k wrt g.\nAnswer: 2472*g*k - 168*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)\/((-7)\/(-35))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzozo. What is prob of picking 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(27) + sqrt(81)\/sqrt(3) + sqrt(27)))*6)\/(sqrt(729) + sqrt(729) + sqrt(729)*-2 + sqrt(729)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/4 + 275*u\/2 + 30681\/4 = 0.\nAnswer: -487, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*p + 152, 5*p + 2*o + 380 = -3*o. Round p to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in 0.3, 14\/25, -1, -8, -2?\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*t + 27 = 0, -2*v = -5*v - 2*t - 13. Let x = v + 8. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1519095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 51.7?\nAnswer: 155.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 + 0*n**3 + 1\/6*n**4 + 0*n**2 - 171*n. Let b(y) = 0*y**2 + y**2 - 6*y**2. What is b(m(p))?\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-30)\/1125*(-225)\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Suppose -3*s - s = -2*z - 20, p*z = -3*s + 28. What is the derivative of 2*d**4 - 1 + 3*d**4 - s*d**4 wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1436.171 - 1435. Let f = j + 3.719. Round f to 1 decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28919, -115671, -260243, -462623, -722799, -1040759?\nAnswer: -1416491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 442346 at least 442347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -7214868 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2\/5, 1 in decreasing order.\nAnswer: 9, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1913847 millilitres to litres.\nAnswer: 0.0001913847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 728786.7 days?\nAnswer: 17490880.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccdp when four letters picked without replacement from {d: 2, c: 2, p: 5}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 6*u + 6. Let w(o) be the second derivative of -1\/12*o**4 + 1\/3*o**3 + 0 - o**2 + 32*o. Calculate -6*h(d) - 17*w(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 14. Let f = i - -20.54. Round f to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(2 + 1*sqrt(242)) + ((sqrt(242)*-2 - sqrt(242))*-3 - sqrt(242)) + sqrt(242) + sqrt(242)*1*-4 + sqrt(242))**2)*-2.\nAnswer: -48522 - 3520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -69*q - 159. What is i(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6705\/4470)\/(((-27)\/10)\/(3\/(-1))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 181.3 and -28650611.\nAnswer: -28650429.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127.5623 - -0.0623. Let d = v + 101. Let r = -22 - d. Round r to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(sqrt(605) + 1))**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from {x: 9, m: 6, r: 2}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29784827837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 + 1 = 0. Let v = 4 + -1. Suppose -g - 4*g - 5 = q, 3*q - 3 = v*g. Is m != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b (base 13) to base 7.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(7 - 3 + 4)*(3 - 3 - f).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(((-9)\/(-45)*5)\/((-4)\/40))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 24*g + 7665. Suppose 3476 = 5*f - 1984. Let u = f + g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 + 16 = 0. Let w(l) = -151*l + 6. Let b(g) = -76*g + 3. Let u(p) = s*b(p) + 2*w(p). Differentiate u(n) with respect to n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 9*r + 2.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/16 at least as big as -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 10*t**2 + t + 1. Suppose 10 = z - 0. Does 5 divide d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38\/115 - 3\/23. Let o = -14 - -11. Let l be (o\/(-60))\/((-1)\/(-2)). What is the third biggest value in -1, n, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14401 + 1?\nAnswer: 14402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**9\/1512 + r**8\/480 + r**7\/840 - r**6\/720 + r**3 + 2. Let z(m) be the third derivative of a(m). Factor z(v).\nAnswer: v**2*(v + 1)**2*(4*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2976*q - 5071100. Give l(1704).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-seven quarters of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*i - 18 = 0, 3*y + i + 0*i = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 7*k - i - 6, 4*i - 21 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.155 greater than or equal to 541665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103*(2\/3 - (-4)\/3).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5989566 to two dps.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.08 plus 13.196?\nAnswer: 25.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:04 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let g(a) = -a**2 - 218. Give g(w(j)).\nAnswer: -4*j**2 - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k - 2. Let n be o(2). Let z = -21 - n. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 427, 0, -18, -5, -1116 in ascending order.\nAnswer: -1116, -18, -5, 0, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/10*191572612\/1265 + (-2)\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 5 in descending order.\nAnswer: 10, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134680 is divided by 22446.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14309529 divided by 1469\nAnswer: 9741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 19 = -8. Let x = -16 - b. What is the common denominator of 99\/10 and 3 + -6 - 10\/x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 3, -6, 4 in decreasing order.\nAnswer: 4, 3, -3\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/(-7) + (2 - (-3 + 0)). What are the prime factors of ((-522)\/(-12))\/(3\/36*s)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b**4*v - 3*b**4 + 16*b**2*v + 314*v + 5 wrt b.\nAnswer: 20*b**3*v - 12*b**3 + 32*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 498*f - 614*f + 1972 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368292?\nAnswer: 2, 3, 47, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4183 is divided by 261.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-5)\/35 - (-129)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/60 - x**5\/6 - 7*x**4\/6 - 177*x**2. Find r such that n(r) = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22804 is divided by 11394?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:52 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15963 and 626?\nAnswer: 31926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 12:42 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 866555, 866554, 866553, 866552, 866551?\n\"Answer: -v + 866556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyffffyymyyfffyfyf. What is prob of sequence fmyf?\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -114.00496713?\nAnswer: -121.00496713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(198)\/(sqrt(11)*1)*2)\/((sqrt(144)\/(sqrt(8)*1))\/sqrt(2)).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = 6. Let y = 6 - q. Let t be 18\/(-4)*y\/(-6). Solve t*c - 4 = -16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15876 divided by 9.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 58 = 98. Let o(v) = 3*v - 37. Let s be o(13). Suppose -3*u = -5*j + 98, -4*u = s*j - j - 15. Calculate the remainder when l is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -53 - (-2300920)\/42517.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*t + 684*t + 26 = 12*m, 2*t + 2*m = 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -22) + 22 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 + 38*g + 13. Let k be v(-7). Let i = k - -571. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - m - 11. Suppose 9*a = 4*a. Let g(z) = -z**2 + 2*z. Let c be g(a). Give k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 168333451 to the power of 1\/2, to the nearest integer?\nAnswer: 12974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430*-71016.\nAnswer: -30536880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 smaller than 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135925110 to the nearest integer?\nAnswer: 11659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 2) + -5 + -4 + 3 - 23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 3240*a - 35683. Calculate l(-11).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 369153 (base 10) to base 9\nAnswer: 622340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -0.1 (c) -1\/3 (d) -11 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 9216?\nAnswer: 46080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**6 + 24*i**2 + 2*i**3 + 169*i**2 + 32*i**4 - 2*i**3 + 42*i**4 wrt i.\nAnswer: 240*i**3 + 1776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11607000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 10:31 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 37\/1455 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1912*b + 37*b**2 + 1921*b - 10*b**2 - 3833*b - 200*b**3.\nAnswer: -200*b**3 + 27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*s + 46, 2*s - 3*s = -a - 6. Suppose 4*q + 80 = 5*u - u, -u = -3*q - 16. What is the lowest common multiple of u and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1773.\nAnswer: -177.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -21999\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25978 is divided by 25963.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 672 = -648 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 11*w - 13. Let f be s(10). Sort -5, 0, f.\nAnswer: -5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 54*q + 414. Suppose 5*x - 35 = -0*x. Let s = 11 - x. Calculate the remainder when o(9) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -40389*k**2 + 80833*k + 6. What is l(2)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1785, -3574, -5363?\n\"Answer: -1789*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9956166, 9956161, 9956156?\nAnswer: 9956151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56\/779 + 1950\/5453. Let d = -1 + -1. What is the nearest to 0.02 in -1, d, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 198*v - 9776.\nAnswer: -(v - 104)*(v - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t - 15 = 0. Suppose 2*o = -t*r, -2*r = 4*o - 7 - 9. Let h = r + 2. Solve -c + 5*p = -h*p - 23, 4*p + 18 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 692?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 1. Let s(g) = -2*g**3 + g**2 - g - 3. Let x(u) = -3*q(u) - s(u). Let f be x(0). Suppose 4*w - 157 - 179 = f. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 614 or 613?\nAnswer: 614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from cmvcvmkcmccjvccczzc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247495251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 64. What is the remainder when l(-7) is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n. Let t(w) be the third derivative of -5\/24*w**4 + 0*w + 7*w**2 + 0 + 0*w**3. What is t(a(c))?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 18) + (2 - 1 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 2092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 36*d**2 - 35 - 32 - 35*d**2 - 18.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818355877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9653 - 10050.9. Round v to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6284 litres in millilitres?\nAnswer: 628.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(684) + -2 + sqrt(684) + 4 - (sqrt(19) - (-2 + sqrt(19)))**2*3*-1.\nAnswer: 14 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63598, -63678, -63760, -63844, -63930, -64018, -64108?\nAnswer: -64200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l - 1. Let r be ((-7)\/14)\/(1\/2). Does 8 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4894237221.\nAnswer: 3, 263, 6203089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 8 - v + 18*v + (1 - 1 - v)*(5 - 3 - 1).\nAnswer: 16*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593919091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wty when three letters picked without replacement from wjyftffytwyjywy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*i + 18*i**3 - 26*i + 0 + 0 wrt i.\nAnswer: 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54482*f**5*s - 406*f**4*s + f**2*s + 4332*f**2 - 2003*f*s wrt f.\nAnswer: 3268920*f**2*s - 9744*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/132 + -1 + (-236)\/(-16). Which is greater: 15 or a?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 338 - 104. Suppose 3*r - 75 = -5*d, r - d = 10 + 7. Suppose -l - 6*y + r = -4*y, 0 = -4*l - 2*y + 98. Calculate the greatest common divisor of l and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 7*l - 24. Suppose f = l + 1. Let g be 10 - (-3 + 4 + 3) - f. Solve -12 = -g*m, -5*j + 0*m = -3*m + 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 1. Let o(g) = -9*g - 2. Let h(c) = -12*c - 1. Let v(f) = 2*h(f) - 3*o(f). Let a(l) = -12*u(l) + 3*v(l). Let x(p) = 2*p + 3*p + 0*p. Give x(a(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 7*r - 3. Let v be q(-7). Suppose -4*k = 3*p - 16, 0*p + 5*k - 20 = -p. What is the second smallest value in p, v, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + i + 21 = 0, 0 = -4*d - i - 5 + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1335074 + 4864617. Suppose z = -3*o - 3533408. Let k = o + -3145683. Round k to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 25*n**4\/24 - 4*n**3\/3 - n**2\/2 - 3. Let r(l) be the second derivative of t(l). Is r(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32119137.9462206 - 32118729.5. Let g = m + -491.446225. Let z = 83 + g. What is z rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 1 (c) -0.5 (d) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*4\/2*(-1)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 6259?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6494 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959*d - 2959*d + 2152609*d**2.\nAnswer: 2152609*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -43. What is the remainder when x is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**10*w\/((w\/(((w\/w**(-2\/5))\/w)\/w))\/w)*w\/(w*w*w*w**(-8)) assuming w is positive.\nAnswer: w**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7766)\/374 - (-11 + -10).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-18 - -28) + (0 - 22).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1481957 divided by 31531.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7636 is divided by 108.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-16) + (105\/20)\/(-7). What is the nearest to 1\/3 in n, 2, -4, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 661 - 31. Let o(y) = 2*y**2 + 401*y + 2025. Let w be o(-5). Calculate the highest common divisor of w and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 - 7*b**2 - 2*b - 2. Let p = 30 - 26. Is 14 a factor of w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1391 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}