diff --git "a/data/dm_maths/full_data_1/10654_11255.jsonl" "b/data/dm_maths/full_data_1/10654_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10654_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose j + r = 7, 4*r + 76 = -5*j + 9*j. Solve 13 - j = -39*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 7*p - 4. Let n be a(-6). Let y = n + 58. Suppose -o + y = 1. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 2 - 3 + 1.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367774719?\nAnswer: 61, 881, 44059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -18*v + 17*v, 5*g + v = -27. Which is the nearest to g? (a) 0.5 (b) -2\/7 (c) 0.1 (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*288.68\nAnswer: 31.7548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2586*k - 2589*k + 8*k**2 + 13 + 11*k**2 to the form r*k**2 + s*k + q and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.09 in 2\/13, -0.12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 - -1859\/7. Let u = 15\/14 - i. Sort u, -5, 2.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q**4 - 4008*q**3 + 2000*q**3 - q**2 - 1 + 2005*q**3 to v*q**3 + d*q**2 + k*q**4 + n + f*q and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 7, -0.13, -2\/3, -5, 2\/229?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445436151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165879121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*u**4 - 11*u**2 - 176*u - 20*u**2 - 377*u - 6*u**4 + 14*u**4 wrt u?\nAnswer: -60*u**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(8)\/sqrt(4)))\/(5*sqrt(32)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 14965. Let y be s(0). Find the common denominator of y\/2044 + (-10)\/8 and -133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13685825 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + v + b + 30 = 0, -2*b = -v + 2520 - 2540 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*m*(m\/(m\/(m\/(m*m**(-2\/5)\/m))*m))\/m*m*m)))\/(m*m\/(m*m\/((m*m**(1\/8)*m*m)\/m))))**(-13\/6))**(-28) assuming m is positive.\nAnswer: m**(1547\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 - 15*j**2 + 100 + 6*j - 5*j + 2*j**2.\nAnswer: -6*j**2 + j + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(140))\/sqrt(4))\/(-3*sqrt(245)).\nAnswer: -2*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1248 and 1404?\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g + 753 = -1109 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1655*b + 160588 = -1003*b + 38320 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3500.929ml to litres.\nAnswer: 3.500929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98864 is divided by 382?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1875)\/2500)\/((-3)\/56)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 4 + 36\/(-20). Which is the closest to -2\/3? (a) 2 (b) l (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.472 + -0.192. Let y = 4.1 - u. Round y to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, -11 in decreasing order.\nAnswer: 12, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66503*y**3 - 65142*y**3 + 3*y + 4 + 130377*y**3)*(6*y - 2*y - 2*y) to the form l + w*y**2 + o*y + b*y**4 + u*y**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from qqaeqarrqaa.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 122\/(-10) - (4\/(-20) + 0). Let p be 58\/q + ((-57)\/18 - -3). Let g(r) = -4*r - 14. Let k be g(p). Solve -12*l = -10*l - k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 30*v = 0. Suppose v = -5*j + 10*j - 702500000. Suppose 0*c = 5*c + j. What is c rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27639 divided by 19.\nAnswer: -27639\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 26, -1\/5, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5.8, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 837.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -452452 + 3624317\/8. Is r less than 588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/10 + (-381)\/(-135). Let m be (10\/(-72))\/5 + 1. Let y = m - w. Which is the third smallest value? (a) y (b) -0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -77257\nAnswer: -2317.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 2. Let s(g) = 2*g - 2. Let k = 69 + -14. Suppose -9*q + 28 = k. Determine q*p(d) - 2*s(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165, 167, 171, 177, 185?\n\"Answer: d**2 - d + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -186701351 divided by -186701351?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31813 + 31813 - 3*g**3)*(12 - 45 - 23) to the form r*g**3 + b*g**2 + k + z*g and give r.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*k**2 - 25604168\/9 - 14312\/9*k.\nAnswer: -2*(k + 3578)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -83?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - o + 7, -183*z - 3*o = -182*z - 29. Solve -17*k = -z*k - 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 317961735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69025*g + 109771?\nAnswer: 69025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4023 (base 5) in base 12?\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*a - 56271 = 39638, -5*b + 159871 = 3*a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 12. Let d(z) = z**2 - z. Let o(x) = x**2 - 2*x. Determine p*d(l) - 3*o(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by (-220100)\/(-1488) - (-2)\/24.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 11. Let t be f(0). Is -22*(t\/2 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((c - 4 + 4)*(-746 - 592 - 355) - c + 0*c + 3*c)*(-5 + 1 + 3) to u*c + p and give u.\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/40 and (6 + (-241)\/16)*(-27)\/(-90)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 1)*(0 - 2 + 1)*(-2 + 4 - 1).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 86185*x + 22089*x + 2 + x**2.\nAnswer: x**2 + 108274*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*10\/(-4))\/(12\/96). Let j be ((-8)\/4)\/(4\/y). Suppose -3*l = 7*l - j. Solve -5*i - 3 = -l*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 2*b - 1 + 2*b. Suppose 5*d - 3 - 2 = 0. Determine r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 645955 + -981252. Let w = 135297 + z. Round w to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/20*5*-5. Solve -q + p*a = 4, 4*a = 3*q - a + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, 1, 558, -53 in descending order.\nAnswer: 558, 12, 1, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*v**5 - 144*v**2 + 208*v - 34 wrt v?\nAnswer: -1400*v**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o + 207. Give i(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + (-39)\/(-9). Suppose i = -4 + y, -5*i = 4*t - 13. Factor -v + 1\/2 + 1\/2*v**t.\nAnswer: (v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -32*p + 527. Let v be r(16). Let m(l) = -2*l + 37. Determine m(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40111160 (base 7) to base 5.\nAnswer: -1322020224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let c be x(-3). Suppose c*o - 5*w - 17 = 0, -4*w - 6 = -2*o + 10. Let l = o - 2. What is the greatest common divisor of 28 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**7\/21 + 5*z**4\/12 + 4*z. Find the third derivative of f(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(-4 + (sqrt(432) - (sqrt(432)*1*6 + sqrt(432)) - (sqrt(432)*-1 + 1)))**2.\nAnswer: 1200*sqrt(3) + 21650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*j**4 + 35*j**2 - 356 wrt j?\nAnswer: -36*j**3 + 70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -2)*1*4. Let v be 1*(h + 2 + -83). Let o = -32 - v. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8486, 17008, 25556, 34130, 42730, 51356, 60008?\n\"Answer: 13*q**2 + 8483*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 8246*o**2 - 779 with respect to o.\nAnswer: 8*o**3 + 16492*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2767, 5635, 8503, 11371, 14239, 17107?\nAnswer: 19975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 140, 1.054, -2\/21, 1\/6?\nAnswer: 1.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 8:10 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -33 - 7359\/363.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 3. Let b(r) = 2 - 1 + 0. Let n(l) = 2. Let a(m) = 3. Let i(q) = -6*a(q) + 10*n(q). Let c(y) = -5*b(y) + 2*i(y). Give 3*c(w) + f(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -37. Let b = 48 + j. Suppose b = -p + 73. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2083, 4293, 6525, 8785, 11079?\nAnswer: 13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 42 + 446. Suppose 0*s = 4*s - f. Let n(y) = y**2 + 6*y - 11. Calculate the remainder when s is divided by n(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1184200 to the nearest ten thousand.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 p when three letters picked without replacement from {c: 1, u: 1, p: 1, e: 1, g: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 138?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose 14 = o*f - 1. Suppose f*s = 3*w + 16, -2*s + 6*s + 2*w = 4. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3140, -1505, 130, 1765, 3400, 5035?\n\"Answer: 1635*s - 4775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 6*d**2 - 8*d - 4. Let l be z(-7). Suppose 0 = -11*s + l + 8. Solve 4*i - 18 = -3*q, -3*i + 2 = -3*q - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + (-15)\/(-22). Let c = 38.1 + -39.1. What is the smallest value in d, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.5 - 8.9. Let b be 16\/18 - 2\/3. What is the closest to 2\/5 in b, 0.1, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483796 less than 15965258\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 smaller than 758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 - -168. Solve 5*p - 2*p + c = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 76 = 8*y + j, y - 3*j + 30 = 0. Let z(u) = u - 1. Let b(f) = 3*f - 6 + 1 + 2*f. Give y*z(n) + 4*b(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -1\/9, -0.2, -27 in increasing order.\nAnswer: -27, -0.2, -1\/9, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -511, -3, -1, 1 in increasing order.\nAnswer: -511, -10, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from bpbvppyyypbbjppbyywb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1214270, -2428540, -3642810, -4857080?\nAnswer: -6071350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -107 and 0.31?\nAnswer: 107.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 77 = 4*j, 0 = 35*i - 38*i - 3*j + 84. Solve -28*x + 2*d = -i*x + 3, 6 = 3*x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93657351?\nAnswer: 3, 1021, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 265*u**2. Let l(j) = -33*j + 11. What is l(x(h))?\nAnswer: -8745*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616775 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -17 (b) 256046 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 3*g**2 - 4*g**2 - 1 - 13*g**2 + 21*g**2. Let u(j) = j**3 + 6*j**2 - 3*j - 6. Determine -6*i(c) + u(c).\nAnswer: c**3 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*w - 135, -4*w - 2*l - l - 85 = 0. Let x be 6\/(-10) + (-15)\/w. Let r be (x - 0)\/(-4) - -4. Solve q - z = -0*z - 2, 0 = -3*q - r*z - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjyyjjyjyjj. Give prob of picking 1 y and 2 j.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:38 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y + 94. Let z be x(-6). Let p be ((-450)\/70)\/(-15) - (-456)\/14. Solve -2*d = -z*d + 5*n + 20, -4*n = -5*d + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 63. Give f(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/5)*l**1)\/(((l*((l\/(l*l**(-2\/5)*l))\/l*l)\/l)\/l)\/l**(-4\/3)))**(-29) assuming l is positive.\nAnswer: l**(-812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 351a (base 15) to base 13\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + (6 - 0 - -5) + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdgdg. Give prob of picking 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 14*u**2 + 727*u + 284. What is z(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 12999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.06241022 + -418607\nAnswer: -418607.06241022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*r**2 + 40*r**2 + 57*r**2 to i + o*r**2 + j*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28406 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (24 - (-15 + 5 + 46)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 19. Suppose 4*y - 14 = 3*k, -4 = -3*y + 2. Let g(w) = -2*w + 19. Let c(l) = k*j(l) - 3*g(l). What is the units digit of c(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65197\/152159 - 2\/21737. Sort 6, -124, d in increasing order.\nAnswer: -124, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 2*z**3 - 4*z**3)*(0 - 1 - 1)*((3 - 4 + 3)*(z + 3*z - 2*z) - 59 - 9*z + 59).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 66 = -4*q. Let h = -19 - q. Let i = h + 78. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*j**2 - 198*j - 8982 wrt j?\nAnswer: 56*j - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1194, -1112, -1036, -966, -902, -844?\n\"Answer: -3*b**2 + 91*b - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 29. Let g be d(12). Solve 16 = g*z - 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203488 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 34*b**4 + 11*b**3 - b - 11. Let v(s) = 17*s**4 + 6*s**3 - s - 6. Let u(o) = -11*v(o) + 6*z(o). What is the second derivative of u(t) wrt t?\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**5 + 24*u**3 + 3*u**2 + 13*u wrt u.\nAnswer: 300*u**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:59 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddk when three letters picked without replacement from kkdkkdkkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 840728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 4, w: 3, e: 3}. What is prob of picking 1 j and 3 w?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2171 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4, 1.1, -2\/9, -459?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 14*w**3 + 23*w**2 - 7*w. Let p(s) = -26*s**3 - 45*s**2 + 13*s. Calculate 6*p(f) + 11*v(f).\nAnswer: -2*f**3 - 17*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 - -142?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 2*o + 5*o - 3*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/1260 - k**6\/108 - k**5\/45 + k**3 - 21*k**2. Let f(g) be the first derivative of d(g). Factor f(t).\nAnswer: -2*t*(t + 1)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2\/3, 4, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57871333 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/7 + (-16)\/(-112))*(1 - (11 - -3)).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 11*v**2 - 12*v + 6. Let g be i(-12). Suppose 196 = g*m + 16. Calculate the highest common factor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10315 - 10316. What is the nearest to y in 3, 52.8, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/60 - 10*l**2. Let d(r) = 9*r. Calculate d(a(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 1. Let t be (3\/(-9))\/((-1)\/(-3)). Let m(k) = 29*k. Let o(y) = t*m(y) - 3*x(y). Is o(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(468) + sqrt(468) - sqrt(468) - sqrt(468))\/sqrt(12) + sqrt(39))\/(sqrt(6)\/sqrt(2)*6) + 3)**2.\nAnswer: -sqrt(13) + 337\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 + 253*l + 12311. What is t(81)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 7*l + 8. Suppose 5*k + 3 = f, 2*k + 15 = -f - 2*k. Let h be i(f). What is the first derivative of t**2 + 7*t**3 - 42 - t**2 - h*t**3 wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxaxxxxx. Give prob of picking 1 x and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**4\/24 + 9*d**3\/2 + 2*d**2. Let i be o(10). Find the second derivative of -32*w + 28*w**2 + 37 - i wrt w.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-14\/3)\/q))\/(q\/(q*q*q\/(q**15*q))))\/((q*q**9)\/(q*q*q**(-5)*q*q)))**(-13) assuming q is positive.\nAnswer: q**(715\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043113234 (base 5) in base 15?\nAnswer: -30b664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**6\/10 + 11*z**3\/3 - 9*z + 24. Let g(m) be the first derivative of i(m). Find the second derivative of g(t) wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-96)\/(-320))\/((-1)\/(-5)))\/((-21)\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.59 - -0.59. Let t be ((-60)\/(-1935))\/(4\/6). What is the fourth biggest value in c, t, 2\/5, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100 (base 3) to base 15.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1547260 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12474, -25002, -37530, -50058?\n\"Answer: -12528*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-2)\/(7 + 5) - (-181)\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -2423?\nAnswer: -242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167.9 + 168. Let u = 62\/7 - 9. What is the closest to w in u, -2, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(((-3)\/(-9))\/(-1*3)). Suppose -5*l + 6 = 5*w - d, 3*l - 3 = 0. Solve 18 = -0*y - 4*y + 3*s, w*s + 2 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 53*k**2 - 6*k + 19. Let b(u) = 62*u**2 - 7*u + 22. Let t(w) = -6*b(w) + 7*i(w). Let n(f) = -5*f**2 - 6*f + 9. Give n(l) - 6*t(l).\nAnswer: l**2 - 6*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + 3*x)*(-499*x**2 + 2153*x**2 + 1600*x**2 - 67*x**2).\nAnswer: 3187*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2157821 + 2764168349\/1281. Let k be 124\/(-183) + (-2)\/(-3). Let u = k + c. What is the nearest to -2\/9 in -0.2, u, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(405) - sqrt(405)*1)*-5 + 1)*-2)**2 - ((sqrt(405) + 1)**2*5 - (sqrt(405) + (-5 + 1 + sqrt(405) - sqrt(405))))).\nAnswer: -2026 - 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1935*f - 17429. Give w(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from jwyqdjdqdd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -27*f + 25 + 11. Sort -55, 0.3, f in descending order.\nAnswer: f, 0.3, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Let j = 0 + v. Suppose 30 = -u + j*u. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -7*u**6\/30 + 9*u**5\/20 - u**4\/6 + 5*u. Factor k(b).\nAnswer: -b**2*(b - 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41475490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 304?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + 15\/(-4). Let d be (-1)\/6 - (-55)\/78. Let g = -23\/91 + d. What is the nearest to g in 1\/3, j, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*v - 4*u - 61, -u = -2*v + 27. Let d = v + -14. Solve d*l = l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6985.943s to microseconds.\nAnswer: 6985943000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*m**4 + 42*m**3 + 13*m**2 + 2669*m.\nAnswer: -5472*m + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.14 (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2.8, 4 in decreasing order.\nAnswer: 4, 0.3, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c**(-2\/9)*c)**24*(c\/(((c\/c**(-2\/7))\/c*c)\/c*c*c))**(-2\/53)\/(c**2)**38 assuming c is positive.\nAnswer: c**(-117182\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.018 times 0.05?\nAnswer: 0.3509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Suppose -11*w = -7*w - 5*w. Let r(x) be the third derivative of -2*x**2 + 1\/8*x**4 + 0*x**3 + w*x + 0. What is r(b(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 414*f + 32*f**2 - 489*f - 21*f**2 - 13*f**2 + 33 as p + r*f + i*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 12685296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -246, -748, -1518, -2562, -3886, -5496?\n\"Answer: -u**3 - 128*u**2 - 111*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20*a**2 - 461*a - 418. Calculate m(24).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -35*n + 111. What is the lowest common multiple of j(3) and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 7*c - 9. Let l be 50\/(-8) + 4\/16. Let f be t(l). Let r be 3 + f\/21 + -3. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.07, -0.1, -10, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 = -0*t. Suppose -2*x + t = -18. What is the remainder when 44 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -16*k - 67. Let c be s(-5). Sort -1, 9, c.\nAnswer: -1, 9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 2. Let q(s) be the first derivative of -s**5\/60 + s**3\/6 - s**2\/2 + 1. Let p(z) be the second derivative of q(z). Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629406 divided by -76?\nAnswer: -314703\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2593 divided by 11\nAnswer: 2593\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -202.5683716 to the nearest integer.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - ((-22)\/(-18) + (-4)\/18). Let u = -8 + 6. Sort y, u, 1.\nAnswer: u, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 36. Let n be o(-6). Suppose 2*m - 2978 = -2*x, 4*x = -4*m + n*m + 5938. Suppose -t + x = t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/3)\/2*-23*(-4)\/552?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26 + 4)\/((-130)\/200). Is t equal to -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -20*h**2 + 1. Determine f(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/9 (b) -463 (c) 0.4 (d) 803\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*d = 3*d - 58, d + 127 = -4*g. Let i = 24 + g. Let u(q) = -4*q + 1. What are the prime factors of u(i)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 94094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from oemeeemm.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/5, 2\/3, -1519, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20036438309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 18535647?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18036362 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 0 + 10945157\/(-15). Let b = d - -730056. Let o = 376 - b. What is the smallest value in o, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 times 1311?\nAnswer: -259578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((-1)\/6 - (-654)\/3600). Let o(a) = -a**3 + 11*a**2 - 13*a + 5. Let n be o(9). Calculate the greatest common divisor of h and n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 3. Let h(w) = w - 2. Give -10*h(p) - 6*y(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 10 = -3*v, -15*l + 11*l = -3*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*s = 2*s - 16, 0 = -4*s + 20. Let u(z) = -z - 4. Let y(c) = 2 - 8 + 1 - c. What is v*y(p) + 3*u(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16*(c**14*c)\/c*c)\/(c*c**(2\/17)*c*c\/c**(-1)) assuming c is positive.\nAnswer: c**(457\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39653*f**2 + 0*f + 5366*f**2 - 5*f + 5*f.\nAnswer: 45019*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {n: 1, j: 2, w: 1, h: 3, z: 3, m: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9248123, -18496246, -27744369?\n\"Answer: -9248123*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.82211 seconds in nanoseconds?\nAnswer: 97822110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - (-4 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 4*x**3\/3 + 23*x**2\/2 - 2273. Let d(c) = 34*c. Determine b(d(z)).\nAnswer: 4624*z**2 + 782*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15907?\nAnswer: 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187727869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((-2)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12204545 (base 7) to base 15.\nAnswer: -1692a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 15*d - 24*d = -7*d, 4*q + 5*d = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725030569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253 - 261. Is t greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164\/13 or 14?\nAnswer: 164\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or 534?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1172 + -1168. Solve 3*y - 8*t = -o*t + 5, 4*t = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 15*x + 15. Let t be r(6). Let m = 5 + -1. Sort 2, t, m in increasing order.\nAnswer: t, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 7*m + 9. Find n such that 0*n**5 + n**4 + 3*n**2 + 1 + 2*n**m - 5*n**2 - n - n**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6442, -6165, -5886, -5605, -5322, -5037?\n\"Answer: m**2 + 274*m - 6717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/4 + 88 + -69. Solve -5*w - 2*p + 15 = 0, w - 2*p + m = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 2. Let j be n(-5). Let r be (-1 - j) + (-174805)\/(-18). Let d = r + -9720. What is the common denominator of d and -17\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 619, 605, 593, 583, 575, 569?\n\"Answer: s**2 - 17*s + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1736 - -1728. What is the nearest to 0.2 in -0.3, -2\/7, v, -15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-3 + 5)\/2. Put q, 10, -4\/5 in decreasing order.\nAnswer: 10, q, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (94 + -102 - (0 + -10)) + -14 + -34 + 118\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142.6 + -116.938. What is y rounded to 1 decimal place?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - (0 + 1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*d**2*l**2*q - 18*d**2*q - 50*d*l**2*q**2 - 19*l + 12*q**2 wrt l?\nAnswer: 82*d**2*q - 100*d*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -21, -32, -59, -108, -185?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.1 (c) 166\/23 (d) 2 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 407356131 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2922884 + 117*x - 2922884.\nAnswer: 117*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 11}. What is prob of sequence bbk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15908 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15210.11386+-1.233\nAnswer: -15211.34686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61 - -100a7?\nAnswer: 10046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.01, -8, -73\/5 in increasing order.\nAnswer: -73\/5, -8, -0.01, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 429?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 5*f + 2. List the prime factors of t(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 134. Does 26 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r - 7. Let l be d(-5). Suppose -l*i = -60*i. Solve 5 = -n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let y = 11 + 7. Suppose -4 + y = i. What is the greatest common factor of h and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15, 2, 13, 410.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81313 and 2172790.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225384 divided by 4?\nAnswer: -306346","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 953291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.820224\nAnswer: 0.820224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -70. Let g(y) = 6*y + 0*y**2 - 5*y**2 - 4 + 6*y**2. Calculate the remainder when j is divided by g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 - 42. Let v = -95 - s. Let t = v + -42. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466978277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 - 15643*a + 15632*a - 6 + 3*a**2. Give d(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 3, -8.81, -7\/5, 1, -1?\nAnswer: -8.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q - i + 62, -5*q + 141 = -i. Suppose 2*g + 5 = -r, -r = -0*r - 3*g - 15. Suppose 3*o = -h + 18, -2*o - 2*o + q = r*h. Solve s - h = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/4 (b) 3.2 (c) 0.2 (d) -1\/4 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(32)\/sqrt(4) - sqrt(100)\/sqrt(2)) + 2)**2.\nAnswer: -24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39 - 129.898.\nAnswer: -130.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, j: 15}. What is prob of picking 2 j and 1 o?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/2 - 3*l**4\/2 + l**3\/2 + 3*l**2\/2 - l = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3402763?\nAnswer: 7, 13, 61, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110020202022210 + -200?\nAnswer: 110020202022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:31 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:10 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3222 divided by -2.\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhldhhhlllhyhhlhhhhh. What is prob of picking 2 h?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3548*q + 7001. What is j(-2)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6666.938 - -6661. Round c to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31314764 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 5)*(-2*q**4 + 4*q - 4*q)*(-2 + 5 - 2)*(-22 + 178 + 91) as s*q**3 + g*q**4 + j*q**2 + p*q + u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 - 1.71. Let t = 1.2 + g. Let i = 22 + -39. Put -2\/21, t, i in ascending order.\nAnswer: i, t, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/159530988 and -17\/358944723.\nAnswer: 1435778892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25091166 plus -7?\nAnswer: -7.25091166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 314200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -121*t**6\/1620 + 11*t**5\/135 - t**4\/27 - 2*t**3\/3 + 8*t. Let p(h) be the second derivative of b(h). What is m in p(m) = 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8952 is divided by 1113.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-201*n - 246*n**2 - 218*n**2 - 1 + 462*n**2)*(-n + 4 - 4) in the form k + y*n**2 + w*n + s*n**3 and give y.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 + n**2 + 0*n**2 + (-2*n + n - 4*n)*(-6*n - 32 + 32).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2293.1 - 6.\nAnswer: -2299.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220222110 (base 3) to base 4.\nAnswer: -130132101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2 + 0 - y + 4 - 4 + 2*y + 0*y - 3*y + 2*y + 2*y - 2 + 2 + (y - 4*y + 4*y)*(1 + 4 - 3) + 1 - y - 1 in the form o + j*y and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -421?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 1365320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 - -54973.\nAnswer: 55082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3\/3 + 7*f**2\/2 + 9*f + 107. Give x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 13208386*g + 26416780.\nAnswer: -2*(g - 2)*(g + 6604195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-17 + (52 - 59))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -2\/7 (c) 2\/7765\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x + 2*x. Find the second derivative of -8*c + 10*c - c**x + 2*c**2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2847297, 2847298, 2847299, 2847300, 2847301, 2847302?\n\"Answer: u + 2847296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/28 + (-31 - (-6206)\/203)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*t - 24, -5*s = -5*t - 68 - 37. Let l be (-18 - t)*(2\/(-4) - 0). What is the least common multiple of 10\/(-10)*(l + -2 - 16) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2*sqrt(1053)*-3 - sqrt(1053) - (4 + sqrt(1053) + 0)) + ((sqrt(1053) - (sqrt(1053) + 1)) + -4 - ((sqrt(1053) - sqrt(1053)*2) + 1)))**2)*4.\nAnswer: -3600*sqrt(13) + 105700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*9\/45*(-3)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 218503 times -1.3\nAnswer: -284053.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from {s: 5, x: 3, t: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 60. What is the biggest value in -0.4, b, -1\/2, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1 - -1)*1. Let t = -11 - -10.9. Is t at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 1400723.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 10*l - 208 = 0. Is ((-15)\/(-20))\/((-2)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c - 62 + 161. Solve 0 = -c*h + 5*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 445 = 455 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2440)\/111 - 139\/((-5838)\/924).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*r + 3, -2*y = -y + 3*r - 7. Suppose 49 = x + 52. Calculate the least common multiple of y and (1*3\/(-6))\/(x\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 11*t + 10. Let s(h) = -h**2 + h. Let w(n) = 2*s(n) + u(n). Let z be w(7). Let l be -1 + 1 - (1 - -2). Is l < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxax. What is prob of sequence xx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 149. Let o = 311 - 310.7. Which is the third smallest value? (a) 0.17 (b) 0.4 (c) o (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.0876\nAnswer: -0.5876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (22 - (20 - 8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 5310.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Let r be (0 - 0) + 35 + -2. What is the common denominator of ((-62)\/i)\/(r\/6) and 2\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 74 = 31 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1866, 1804, 1740, 1674, 1606, 1536?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747071?\nAnswer: 3, 194119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*d = 100, 11*d - 6*d = -2*k + 82. Solve k*p - 35 = 43*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -29*l + 1. Determine q(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*v - 9. Solve -3*b - v = -s - 0*b, -2*b - 6 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5231219 - 1.523. What is p rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.437 + -5.437. Let c = -6 + 6.3. What is the nearest to 0 in o, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/39*-583 + 44\/286. Calculate the greatest common divisor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207660 is divided by 286?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7260387t in kilograms?\nAnswer: 726.0387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-5*(-1 + sqrt(112))*-5 + sqrt(112)*-1 + 3 + -4 + sqrt(112) + 0)**2).\nAnswer: -31200*sqrt(7) + 424044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**8\/112 - d**7\/14 - 7*d**6\/40 - 3*d**5\/20 + 77*d**2\/2 - d - 66. Let n(g) be the second derivative of l(g). Factor n(s).\nAnswer: -3*s**2*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58575 and 4260.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25641 and 4.\nAnswer: 102564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 361098 and 162.\nAnswer: 361098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 29. Let o(t) = -19 + 12 - 4*t + d. Let v be o(14). Are -41 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*t = -30, f - 4*t + 3 = -2*f. Suppose -5*w + 3*x = -22, f*x + 9 = -3. Let d(n) = -4 + n**2 - 4*n - 3*n**2 + 3*n**w. Calculate d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53136)\/(-9840))\/((-4)\/(-6)*(-36)\/(-160))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/5 + 0\/29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -813821 or -814684?\nAnswer: -814684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 85 - 71 = 0, -2*r - 2*n + 70 = 0. Solve r*w = -4*u + 27*w, -w = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 21*a - 31*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12438 by -3.\nAnswer: 4146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 50*j**3 - 15*j**2 - 140*j + 100.\nAnswer: 5*(j - 1)**2*(j + 2)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -1) + (4 - -2). Let i(v) = 3*v**3 - 15*v**u + 6*v**2 + 4*v + 6*v**2 - 3. Give i(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoweooooekewwkkk. What is prob of picking 2 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/11 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*f - 11, 2*w + 3*f + 8 - 9 = 0. Solve -w*u + 4 = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1363.2 - 1257. Let m = 106 - j. Is m greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7 = 2*s, 4*t = 7*s - 6*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - 1*11\/(-3). Factor 2*x**2 - 12*x**f + 3*x + 18*x**3 + 3*x**5 - 4*x**2 - 10*x**2.\nAnswer: 3*x*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0.5, 0 in ascending order.\nAnswer: 0, 0.5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -7*y + 78. Suppose -7883 + 2220 = -y*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149268231.\nAnswer: 3, 7, 409, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -923.8 + 0.42.\nAnswer: -923.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*g + 6, -2*g - 3*g = -3*j - 9. Let p be -3 + 7 + -3 + j\/6. Let -1\/4*f**2 + p - 1\/4*f = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10830299 minus 4?\nAnswer: -10830303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202202 (base 6) in base 8?\nAnswer: 37272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d - 2. Let w(u) = -1 - 2*u**3 - 84*u + 0 + 82*u. Give w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12935505 and 88.\nAnswer: 103484040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*m - 5 = 0, -381*y - 3 = -376*y - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90.9999886 + -91. Round m to 6 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 40390406 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjmjmjjmmmjmj. What is prob of picking 2 j?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -42*p + 15. Let n be o(-5). Suppose -2*s = 3*g - 316, 5*g = 5*s + 310 + n. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 228552 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/((-9)\/(-2700)*-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, m: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 + 3 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11 + 60*h - 58 + 20. Is m(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-199)\/(3980\/(-200))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1, 7, -4 in increasing order.\nAnswer: -5, -4, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -56*v**4 + 6*v**2 + 6*v - 25. Let u(f) = -55*f**4 + 5*f**2 + 5*f - 26. Let q(d) = -6*u(d) + 5*y(d). What is the first derivative of q(o) wrt o?\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 8:59 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 2, -5 in increasing order.\nAnswer: -38, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose -r - 4*w - 1 - 1 = 0, -w - 6 = g*r. Are r and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 91\/46?\nAnswer: 91\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.089 to three dps.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, -303, -48, 2\/53, -0.2?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 43 in increasing order.\nAnswer: -1, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 466 = 478. Let m be q\/20 + (-7)\/(252\/(-27)). Let o = 186\/5 - 37. Which is the second biggest value? (a) o (b) m (c) -4 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 1. Let c(g) = -27*g - 8 + g**2 + 55*g - 25*g. Let t be c(-4). Let y(n) = 3*n - 6. Calculate t*b(d) - y(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9839 - 541164\/55. Calculate the common denominator of z and 16\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*m = -199 + 579 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -2 - (7 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-426)\/150 - -3)\/((-4)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3082147 (base 10) to base 2.\nAnswer: 1011110000011110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 6, t: 2, k: 2}. What is prob of picking 1 c and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-50393)\/(-133) - 5) + 14\/133 - -1. Solve 4*m = u - 375 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1419\/2926 - (-10 - ((-22440)\/(-228))\/(-10))\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -501.52285 - -501.4. Let j = -0.122 - v. Round j to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j - 1. Does 5 divide s(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 15*p - 15. Let n be g(-12). Suppose -2*c = 3*s - 6*c - 701, 0 = -4*s + 2*c + 928. What is the greatest common factor of n and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43671664.\nAnswer: 2, 23, 118673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1)*g*g**(-7)*g**7*g**(3\/4) assuming g is positive.\nAnswer: g**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 3694*u - 3411409.\nAnswer: -(u - 1847)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(2) - (-2 + sqrt(8)\/sqrt(4))))**2 - (sqrt(80)*5)\/(1*sqrt(40)\/sqrt(4)).\nAnswer: -10*sqrt(2) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-18 - (-14 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*c - 3, 10 = -4*c + 22. Solve -i*k - 2 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -566*l**7\/105 - 109*l**5\/10 + l**4\/12 - 3253*l**2. Find the third derivative of j(s) wrt s.\nAnswer: -27168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 2*k**2 + 5*k + 4. Let z be i(-4). Let d = 19 - z. Put d, -0.3, 2 in decreasing order.\nAnswer: d, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 14 = -5*b, -b = -5*p - 4 - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 515, -2.\nAnswer: -2, 0, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/220 and 65\/789492.\nAnswer: 3947460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049011.392 rounded to the nearest one thousand?\nAnswer: 2049000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 35. Let y = 80 - m. Let p = y + -14. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -11043134?\nAnswer: 11043053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*d - 8, 2*d + 18 - 5 = 3*s. Solve -3*g - 6 = s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100904300*x**2 + 29927*x - 500 wrt x?\nAnswer: -201808600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 18*n + 0*n in the form r + i*n and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -310381 rounded to the nearest one thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-2*t - 3*t + 6*t) + (4 - 4 + 2)*(0 + t + 0))*(-802*t - 692*t + 1780*t).\nAnswer: 286*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103\/5 - 937\/45. Let p = -14 + 732. Let l = 717.8 - p. What is the second biggest value in -4, -3\/8, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -291 - 5*o - 57 - 375 + 425 + 11*o as w + l*o and give w.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -428*26.796\nAnswer: -11468.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40636ns in seconds?\nAnswer: 0.00000000240636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.9 and -1305130172?\nAnswer: 1305130174.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16250)\/(-21125) + (-2799)\/39.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 7*o + 100. Let q be v(-7). Let s(n) = -9*n - n**q - 7 + 1 - 4*n. Determine s(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7233.\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/8*((-10008)\/(-695) + (1 - 5 - 9))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7871875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346370113 to the nearest integer?\nAnswer: 18611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32805378709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.243907 to 3 decimal places.\nAnswer: -5.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z. Suppose n - 3*n + 4 = 0. Let b = n + 0. Sort b, -4, z in ascending order.\nAnswer: -4, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -386, -591, -796?\n\"Answer: -205*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -4\/215?\nAnswer: -4\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + n = -59, m - 16 - 15 = -3*n. What is the remainder when m is divided by 2*(-156)\/(-32) + 9\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 2*s**2 - 2*s**2)*((-4*s + 2*s + 4*s)*(2 + 2*s - 2) - 4*s**2 + 0*s**2 + 3*s**2).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)\/((b\/b**(1\/12))\/b*b*b)*(b*b**2)**(-23))**4 assuming b is positive.\nAnswer: b**(-863\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2555.3, -99 in descending order.\nAnswer: 2555.3, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 12. Let r(b) = -2*b**2 - 10*b - 25. Let m be r(-2). Determine n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28231)\/(-9) + 2\/9. Let k = -7461 - -7461. Suppose k*l = l - n. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/36)\/2*(-42)\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose 0 = c - v + 1. Let f(q) = 1 - 5 - 2*q + 5. Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -102, -151, -200, -249, -298?\n\"Answer: -49*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 54.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 447 - 407. Suppose -5*z - 16*h + 18*h = -o, -3*z + h = -23. Let z*r + 3 - 15\/4*r**2 = 0. What is r?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/87178 and -81\/368830.\nAnswer: 4794790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(13) - (-4 + sqrt(325))) + (-2 + sqrt(13))*5)**2 + 4).\nAnswer: -212 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 785, 1\/244.\nAnswer: -0.6, 1\/244, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k**3 + 2*k**2 - 7*k + 33. What is the tens digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 - (33 - (15 + 4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t. Let g(v) = v. Suppose -4*f + 8*f - 112 = 0. Let o(w) = -12*w - 13*w + f*w - 7*w. Let p(q) = 6*g(q) + o(q). Give c(p(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 153478.7 millimeters?\nAnswer: 0.1534787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11771 - 245.\nAnswer: 11526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648842841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 10*t + 2*r - 8, 111*t + 4*r - 468 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 1. Let f be k(-3). Suppose -4*r + f*r = -36. What is the highest common divisor of 54 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {s: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-12)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1086198 + 2164141. Suppose i - 5354841 = k. Let r = -9832784 + i. Round r to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3 - 9. Let m = -1 + -3. Let a be ((-12)\/(-8))\/(1\/2). Put a, m, d in decreasing order.\nAnswer: d, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o. Let f(k) = -49*k + 140. Let i(u) = 7*c(u) - f(u). What is the first derivative of i(m) wrt m?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*(-31977)\/34 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2. Let j(i) = -1285*i**2. What is l(j(p))?\nAnswer: 1651225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (2 + (-2 - -4) + 96 + -103)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Let y = -417 - -412. What is the third smallest value in 0.4, y, -2\/15, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.444 + -0.156. Let o = -0.6 - z. Let v = 5.7 - 6. Which is the closest to 0? (a) o (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 4. Which is the second biggest value? (a) t (b) 1\/9 (c) -0.5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 2 = f + 5*y, 20 = -2*f + 2*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2084 + 0.04030594405.\nAnswer: -2083.95969405595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1\/3 (c) 1\/9 (d) 2\/5 (e) -705\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25046*r**4 + 1073*r**2 + 3*r wrt r?\nAnswer: -601104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 146 + 155 = -u, 2*w + 2*u = -6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -11) + (-2 - 11) + -10 + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(216\/(-16)) - (-716)\/3. Calculate the greatest common factor of j and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941444 is divided by 31372.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oah when three letters picked without replacement from {y: 2, o: 1, a: 2, j: 1, d: 2, h: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1. Let t = -12 - -5. Let x = 2 + t. Let w(y) = 3*y + 3. Let s(h) = 4*h + 2. Let v(l) = -2*s(l) + 3*w(l). Calculate x*j(a) - v(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20054241 bigger than 20054241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24762011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 10 + 5 - 1)*(0*k + 3*k - 2*k).\nAnswer: -k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -0.2, 3\/10, -2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1857045093486 and -3?\nAnswer: 2.8142954906514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88681223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847)*1 - ((sqrt(7)*-1)**2 + -4)) + (-1 + sqrt(175) + -5 - sqrt(175)).\nAnswer: -9 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13131*f. Let a(v) = -5*v. Determine a(q(g)).\nAnswer: -65655*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 584*3\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2 - 3. Let y(r) = r - 1. Give y(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d - 4 + 0*d**2 - 1\/3*d**3. Let g(u) = -u + u + 2*u. What is g(q(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 2*o + 26, 5*a + 5*o + 130 = 0. Let b = -24 - a. Factor 4*d + 4*d**2 + 0*d**b - 2 - 8 + 2.\nAnswer: 4*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112132 and 32368.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248290 is divided by 248160?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36*(-1)\/6*-3. Suppose -p = -2*i + i. Calculate the lowest common multiple of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/57 (c) -1 (d) 866 (e) -0.08 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 81. What is the remainder when w is divided by (34 - -5) + -19 + 29?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (8 + -1 + -1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, 14, 70, 180, 362, 634, 1014, 1520?\n\"Answer: 3*c**3 - c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/18 and -43\/2361927.\nAnswer: 14171562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2887 and 5782661?\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19049180951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*j = 4, -4*h - 8 = j - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*b + 6 + 0 = 0, -4 = -d + b. Let i be 0\/(3\/((-3)\/d)). Suppose r - 2*m + 3*m - 3 = i, 2*r - 6 = -5*m. Solve r = -l - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 554 = -533. Suppose 3*s = -2*s - 395. What is the least common multiple of p and (-2)\/7 + s\/(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.8 and 1060836.\nAnswer: 1060834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 + 36*l**2 + 40*l.\nAnswer: -6*l + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 21*g + 625. Let i be x(-28). What is the highest common divisor of i and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:31 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*34\/(-18) - (-1725 - -1716).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*l - 15. Solve 0*o + l*o = -3*n, -o = -5*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695674.6l to millilitres.\nAnswer: 695674600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1907.1*0.2.\nAnswer: 381.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**2\/5 - 19821*m\/5 + 6606\/5.\nAnswer: 3*(m - 2202)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 - 32922*f**2 = 0.\nAnswer: -10974, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 64*d + 2115. Let m be c(88). Solve h = r - 2, m*h - 30*r + 31*r - 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnfrfnh. Give prob of sequence nhrf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/35)\/h**33*h\/(h\/(h*h**(-33)))*h**(-2)*h assuming h is positive.\nAnswer: h**(-2308\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -1\/6 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 20*u**2 - 743*u + 4. Give f(39).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - -0.21. Suppose 2*g - 4 = 4*v, -2*g = -v + 6*v + 5. What is the nearest to x in v, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m - 148. Let v be w(13). Is 2587 - 1\/(-2)*v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2 + 2)*(2*z + 4 - 4) + 6*z**2 - 8*z**2 - 7*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6827 is divided by 3277?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21082.24 decades?\nAnswer: 2529868.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 + a45?\nAnswer: b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 5. Let l be v(5). Let f(g) be the third derivative of g**4\/24 - g**3\/3 + 2*g**2. Let m be f(l). Let t(c) = -2*c - 2. What is t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 7\/6*a**3 + 0*a + a**2 + 0 - 1\/60*a**5 - 1\/24*a**4. Let l = 6 - 6. Calculate k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b + 40*b**2 + 3*b**3 - 29*b**2 + 4*b + 15 - 2*b**3. Calculate d(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - 13*d + 114 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 9*l**2 + 3*l - 4. Let f(x) = 5*x**3 - 13*x**2 - 5*x + 6. Let c(b) = 5*f(b) + 8*h(b). What is the remainder when c(-7) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 - -212. Let a = p - -402. Calculate the remainder when a is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82783, -101150, -119537, -137950, -156395, -174878?\nAnswer: -193405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -439 - -438.9. Let c = 4.5 + -2.5. What is the nearest to r in 9, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -6, 1\/21, 110, 2\/5, -5\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 26*j**2 - 110*j + 1. Does 26 divide k(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:19 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*i - 2 = 2*x, -5*x - i - 22 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6*f + 22 = 5*s, f - 4*s = -21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 59 in descending order.\nAnswer: 59, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 692 and 2411.\nAnswer: 1668412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9 + 6?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 - 2 + 3 + 3 + 0 - 1 - 1 - 2 + 0 + 1 + (-4 - 3 + 5)*(-1 + 3 - 1))*(-6*w**2 + w**2 - 2*w**3 + 3*w**2).\nAnswer: 4*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + -0.2. Let h = -0.9 + 0.3. Let r = h - q. Which is greater: r or -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 8882505?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0*x**5 + 0 - 9*x**2 + 0*x**3 + 0*x + 1\/24*x**4 + 1\/24*x**6. What is the second derivative of b(c) wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658.9107 rounded to the nearest integer?\nAnswer: -659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*c**2 + 71*c**2 - 24*c**2)*(6*c + c - 5*c)*(75 - 75 - 18*c) in the form p*c**4 + d + o*c**2 + b*c**3 + f*c and give p.\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7100 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-25)\/(2 + -1))\/((-6)\/1218)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = f + 3 - 2, -5*f + 4*g = 5. Let z(c) = c - 5*c**2 - 3*c**2 + c**2. What is z(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -542*r**3 + 626 wrt r.\nAnswer: -1626*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -27*b**2. Let p(g) = 56*g**2 - 240. Let n(f) = 8*f**2 - 36. Let z(x) = 20*n(x) - 3*p(x). Give z(r(u)).\nAnswer: -5832*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*u**4 - 1012*u**3 + u**2 + 4374958?\nAnswer: 200*u**3 - 3036*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(4*h**5 + 2*h**5 - 4*h**5 + (25*h**2 - 14*h**2 - 32*h**2)*(2*h**3 - h**3 + 0*h**3)).\nAnswer: 19*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:17 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03616443071 to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144.13ug to grams.\nAnswer: 0.00014413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 5 + 3 + 4. Let t be o(8). List the prime factors of 5\/t*(-4 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**4 - 12*o**3 + 17011*o**2 + 8*o + 53367 wrt o?\nAnswer: -72*o**2 - 72*o + 34022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*j + 630*j + 1210*j + 518*j + 731*j.\nAnswer: 2543*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 - 202. Suppose 14*p - 10*p - u = 0. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = -24. Let q be (-85)\/(-25) - g\/(-2). Which is the nearest to 1? (a) -3\/8 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k - 2. Suppose -5*q + 41 = -4*l, 0 = q + 4*l - 5*l - 9. What is the tens digit of m(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124\/5 + -25. Let m = -276 + 280. Which is the nearest to 1? (a) -0.3 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - 1 - 465*i + 0 + 467*i + 4*i**3 as t*i**4 + m*i**2 + j*i + o*i**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 52, 80, 108, 136?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (11 - 13)\/(4\/(-94)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/17)\/(7\/(238\/(-6))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36606 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 - 4 + 10 + m**2 - 12941*m + 12934*m - m**3. Suppose 0 = 2*w - 0*w - 12. What is d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y + 13 - 125 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -p + 11, 0 = -p - 0*q + 5*q + 17. Let w(t) be the third derivative of 0 + t**p + 1\/6*t**3 + 0*t**4 - 1\/10*t**5 + 0*t. Give w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.7 - -7. Let i = -5173\/9 - -575. What is the third smallest value in i, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -22401433?\nAnswer: -22401420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/27 and -8\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 117*w**2 + w. Let i be u(-1). Suppose g - 5 = i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:08 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9))**20\/(b**(-5\/3))**(-1) assuming b is positive.\nAnswer: b**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 - (-8 - -5)*-1. Calculate the greatest common divisor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:16 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -215, -4, -2, -5 in descending order.\nAnswer: 4, -2, -4, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 3*x + 3. Suppose 5*z = -4*v + v + 311, -3*z - 3*v = -189. Calculate the remainder when z is divided by b(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*a + 3*a + 99, 5*j = a - 87. Let q be (42\/(-9))\/(12\/j). Solve 2 = 5*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31380278102 + 60344521827. Let p = 401878881367561\/13875 - m. Let o = -1\/9250 - p. What is the common denominator of 37\/3 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 6, q: 5, p: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m. Let h(g) = -4*g. Determine b(h(n)).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1230, 2308, 3384, 4458?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15345373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t. Let p be s(2). Let y = -2 - p. Let o = 8 - y. Calculate the highest common factor of o and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 5, 1 in ascending order.\nAnswer: 0.5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i + v + 3*v, -4*v = 0. Let t(h) = -3*h - 1. What is the lowest common multiple of -2 + (10 - 2) + (-8 - -10) and t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193939 or 193938?\nAnswer: 193938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 10. Let z be 12\/(-10)*(-80)\/24. Suppose -6*h + z*h = -36. What is the highest common divisor of h and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 22102021021101?\nAnswer: 22102021021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*o + 4*y, 0 = 2*o - 3*y + 4*y - 69. Suppose o*h = 26*h + 14588. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197279 is divided by 1996.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.102*1.1.\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, q: 2, a: 1, i: 1, k: 8, l: 2}. What is prob of sequence kk?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294449 and 38179.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/20 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.925107 millilitres to litres.\nAnswer: 0.007925107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + c + 2289 - 15929. Solve 5 = -c*j + 1363*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*y - 15. What is the highest common divisor of 368 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26562.1 + 26562. Which is smaller: l or 287.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(450) - sqrt(450)*4).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1\/z)**(-17)\/((z*z*z*z*(z\/z**3)\/z*z)\/z**(-1\/4)))**47 assuming z is positive.\nAnswer: z**(-3619\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + x - 9 = 0, 2 + 3 = z - 3*x. Suppose z*l = -l + 6. Suppose 15 = -2*w - 3*i - l*i, -i - 3 = 3*w. Solve -4*q + q + 15 = w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + 952\/(-96))*10. Which is the closest to -1? (a) f (b) 0.1 (c) 15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-30)\/(-25))\/3)\/(3\/15). Let f be o*1 - 1 - (-100)\/(-120). Which is the second biggest value? (a) 3 (b) -0.5 (c) -1\/10 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 21 = 19. Suppose -u*g = 0, -3*g + 25 = 5*k - 6*g. Calculate the greatest common factor of 10 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/72)\/((-2)\/(-9))*2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*k**2 - 2)*(-2*k - k + 2*k) + (5*k + 5*k**2 - 5*k)*(2 - 5 + 4)*(-3 + k + 3).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/4850919 and -31\/3233946.\nAnswer: 9701838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -19. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -3*g + 8, 0 = -4*g + 3*k + 17. Suppose -g*y = -4*b + 7, y = -b + 5 - 1. Solve -5*u - 2*w - w - y = 0, -2*u - 4*w = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/(-20))\/(2793\/665).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 154 = 52*j + 54. Solve -y + 4*y - 24 = j*z, -4*y - 5*z = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 8367 (b) 3 (c) -0.117 (d) 0.014 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*x - 29 = 0, -6 = -5*s + 5*x + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4)*(-5 - -3). Suppose -4*r - f = -1. What is the nearest to r in 0.4, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -483\/8 - -60. Let m = -1\/88 - o. Solve 6\/11*c**4 - m*c**2 - 4\/11*c**3 - 2\/11*c**5 + 6\/11*c - 2\/11 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.518 - -38.24. Let m = -13.4 - o. Let u = m - -0.122881. Round u to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10152 + 10156. Which is the closest to -12? (a) i (b) 1\/2 (c) 13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1430 + 120 = -10*s. Factor 4461 + 90 + s*y + 8044 + 10112 + 3*y**2 + 391*y.\nAnswer: 3*(y + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 12644?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125053199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(6\/(-9)). Let x = r - -1. Suppose -2*l = -3*l + x. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + f**2 + f**2 - 10*f + (0*f - 3*f + 2*f)*(-4*f - 2*f + 7*f) + 4*f**2 - 4*f**2 - f**2 - 3*f**2 + 5*f**2 + f**2.\nAnswer: 3*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - 2\/(0 + 1). Let k = -142 + 145. Is (-254)\/(k + 0 - l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 less than or equal to 1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*j - 40*j - 46*j)*(-2*j + 1 - 5 + 3) to u*j**2 + o*j + s and give u.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1426400 (base 8) to base 5.\nAnswer: -100422421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 20 = 0. Suppose h*j - 452 = 48. Let b = -8718 - -8752. What is the remainder when j is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 11*b - 17. Let o(h) = -8 - h**2 - 7*h + 27*h - 98. Let t be o(10). Let m(k) = 4*k - 6. What is t*u(r) + 17*m(r)?\nAnswer: 6*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + 8 - (-2 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 57*r - 212. What is c(8)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522535089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c + 0*c**2 + 221 - 227 - 3*c - c**2. Suppose -26 = -2*h - s, h - s = -4*s + 13. Suppose 0 = 3*b - 2 - h. Give o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmymmamqmmmmym. Give prob of sequence aq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 711120 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = 3*w, -2*w + 7*w = c - 4. Let p be (-32 + 24)*1\/(2\/c). Is 34 a factor of p\/24 - (-982)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + -0.37. Let h = -0.4400027 - x. Round h to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59212857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66006 divided by -2203.\nAnswer: 66006\/2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + 12*y + 10. Let v be h(-11). What are the prime factors of v\/6 + (-4)\/24?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 53*q - 58*q + 4 - 24*q**2)*(-2 + 0 + 5).\nAnswer: -72*q**2 - 15*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 126, 39, -167.\nAnswer: -167, 1, 39, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35622*s + 3*x = 35619*s + 3, 3*s - 1 = -4*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from uiuullilvuluekiu.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3187091 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -3*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3119 + 5914. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 17*w**2 + 20*w + 14. Let l be r(-16). Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 14) to base 3\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5267 and 5129?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:32 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1792614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 1. Let d = -3 - -1. Let u be (7 - 9)*(1 + d). Give s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.59 - 0.41. Let i = -72 - -36. Let r = t - i. Put 2, r, -7 in increasing order.\nAnswer: -7, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 12*w - 8*w, -2*w + 22 = -3*f. Sort -4, w, 0.5, -455 in descending order.\nAnswer: w, 0.5, -4, -455","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/24 and -67\/3649100.\nAnswer: 21894600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267820 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkhxbv. What is prob of picking 1 h and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((8\/(-14))\/((-21)\/147))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 14*v - 40204 + 119422 = 0. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 703611777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -0.2?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3248 + 3?\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tctv when four letters picked without replacement from vcntnnvtnct.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -74\/653 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34749235 to the power of 1\/2, to the nearest integer?\nAnswer: 5895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/56 + 2\/(-7). Let y = 69 - 58. Suppose 9*j = y + 25. Sort -3, c, j in descending order.\nAnswer: j, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 15*b**3 - b**2 - 2*b + 2. Let v(g) = 17*g**3 + 23*g**2 + 5*g + 74. Let x(i) = p(i) - v(i). What is x(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12284 and 18426.\nAnswer: 36852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662) - (sqrt(2662) + sqrt(2662)*-3))\/sqrt(11).\nAnswer: 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18959 + 19099. Is 8 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 462608, 462609, 462610?\n\"Answer: s + 462607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 26 = -2*h, -7*g - 2*h - 29 = -10*g. Solve -g*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 19 (b) 3 (c) 14.3 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2112471 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(2)*6 - (2*sqrt(504) - sqrt(504) - sqrt(504) - sqrt(504))\/sqrt(12))\/(5*sqrt(726)*-1)*-6.\nAnswer: 42*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2)\/(6\/(-33)). Let o be -3*(-9)\/6*(-120)\/54. Is h smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23684, 189533, 639688, 1516301, 2961524?\nAnswer: 5117509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630067 + 629168 - 5*m - 1259235.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*o + 13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i + 22 = 2*c, 0 = -2*i - 8. Suppose 0*m = c*m - 90. Let h = 16 - m. Put -6, h, 5 in decreasing order.\nAnswer: 5, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -140, -139, -140?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -130123313 (base 4) to base 6\nAnswer: -2255115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82777.79517 + -1.\nAnswer: 82776.79517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let t = 4 - d. What is the second derivative of 4*a**2 - a - 3*a**2 + a**t wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.38733 rounded to two decimal places?\nAnswer: 4.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o - 112 = 329 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838400 is divided by 144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/w**(-11))\/w)**(-5)*(w**(-7)\/w)\/(w**15*w))**(-12) assuming w is positive.\nAnswer: w**1008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4554*t + 177 = -4559*t + 7 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4*(-4)\/(-1). Suppose -2*u + 932 = 3*c, 0*c + n*c + 3*u - 927 = 0. Let z = c + -2515\/8. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 - 4*d + 4. Let i(f) = 7*f**2 + 7*f - 7. Determine 7*b(w) + 4*i(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-104) + 112\/364\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = x - 27*x - 276 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/24)\/((-5)\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*q**2 - 3*q + 11*q - 8*q in the form m + k*q**2 + t*q and give k.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-20))\/((-1008)\/840)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 15*k - 245 = 0. Let u be -3 + 1 + k\/(-10). Sort u, 1\/2, 5, 2.9 in descending order.\nAnswer: 5, 2.9, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*c - 1611 = -107*c + 2877 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let s = -1 - c. Let n = 1.0000012 - s. Round n to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:19 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - h + 5*h - 3*h + 4*h + h + (3 - 1 - 1)*(13*h - 2*h + 4*h) to the form z*h + v and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzkzkzkzz. What is prob of picking 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 418 - 470. What is the common denominator of (-4 - g\/12)\/((-14)\/(-318)) and -4\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35019.7 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467 = 16*q - 4813. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -37210139.\nAnswer: -3\/37210139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 6*j**2 + 5*j + 2. What is h(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.49 from -2.07.\nAnswer: -1.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.079324 * 925\nAnswer: -73.3747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/21 + (-66434)\/60*2. Let h = o + 8849\/4. Calculate the common denominator of h and 83\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-19 - -39 - -22) - -62\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + -4*sqrt(68)*-2.\nAnswer: 5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 3*k**2 + 22 - 13 - 9 to m*k + v + o*k**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 1, n: 4, v: 1, x: 1}. What is prob of sequence nvi?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(396)*4.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) 0.1 (c) 163 (d) -5 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -59*j + 80 + 537 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90 + q**2 + 0*q + 12 - 5*q**2 + 2*q**2 + q with respect to q.\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, s: 3}. Give prob of sequence sass.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1\/2*-4). Let o be (16\/(-2))\/(1\/n). Solve 0*v - o = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 330 = 0. Suppose 2*w - 110 = -3*j, -4*w + w - 3*j + o = 0. What is the greatest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 7. Let s(c) = c + 2. Let v be s(4). Let n be f(v). Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168123161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*x - 31*x - 64*x**3 - 59*x wrt x?\nAnswer: -384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/8 of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4676 + 94a6?\nAnswer: 10b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13497*c - 11. Let w(l) = -l**2. Determine b(w(h)).\nAnswer: -13497*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/(-30) - (-4)\/10. Let r = 33\/20 + z. What is the smallest value in r, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166965.2 litres to millilitres.\nAnswer: 166965200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 27, 33, 39?\n\"Answer: 6*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1064040 and 10440.\nAnswer: 92571480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/124 - -10\/31. Suppose -4*n - 14 = -2*r, 2*n = -2*n - 16. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*h = 1110, -2*d - 469 - 85 = 2*h. Calculate the common denominator of (-5)\/6 + 16110\/1350 and (-10)\/15 + d\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 83 (b) 2 (c) -2\/19 (d) 1\/8 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 28 = -5*s. Let t be s*(-3 + (-14)\/(-3)). What is the highest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 79*h - 785. Let b be z(10). Solve -b*s + 192 = 27*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/483 + -839\/61341. Is s at most 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1201 less than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.3 - 2.3. Let j = t - 40.2. Let c = 5 - j. Do c and 1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5))**(1\/25))**(3\/5) assuming i is positive.\nAnswer: i**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26257466 is divided by 1257?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let j(i) = i**3 + 2*i + 1. Let o(n) = -5*n**3 - 9*n - 4. Give y*o(f) + 9*j(f).\nAnswer: -f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3237*t + 3252*t + 150 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {l: 4, k: 2, w: 2, m: 3, t: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/(17*165\/(-203830)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -526, -3\/7, -0.1 in descending order.\nAnswer: -0.1, -3\/7, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r = -21 - 71 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1333, -5252, -11785, -20932, -32693, -47068, -64057?\nAnswer: -83660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from dvvssvvvvvvddvvvvsv?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 1 - 11. Let j be (-3 - (i + -2))*1. Let f(v) = 488*v**3 - v. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.07.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12. What is the nearest to -0.2 in 2\/7, 2, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-21 - -13)*597\/(-6) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2 - n - 1. Let c be g(3). Let q(a) = a**2 + 4*a. Suppose 4*v - 2*v = 2. Let w(r) = r. Calculate c*w(y) + v*q(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13693 + 19250. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 47 = 4*j. What is the remainder when 16 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -55. Let h be (54\/z)\/(3\/10). Find the second derivative of -10*s**4 - s**h - 9*s + 2*s**4 + 0*s wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 0*c**3 + 0*c - 9\/10*c**5 - 16 + 0*c**2 + 3\/4*c**4 + 1\/4*c**6. Let y(a) = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a - 64. Let c be l(9). Let j(s) = -54*s**2 + 2*s - 2*s + c*s**2 + 0*s. Let d(y) = y**2 - 148*y. What is j(d(r))?\nAnswer: -r**4 + 296*r**3 - 21904*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1290625 divided by -22.\nAnswer: 1290625\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3521863.\nAnswer: 167, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131371 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 2*g**4 + 4*g**3 + 2*g**3 + 8 - 7 - g**2 + 0*g**4 as p + u*g**4 + s*g**3 + q*g + t*g**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 781*i**3 + 291*i**3 - 167*i**3.\nAnswer: 905*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-5))\/((-1460)\/398928575) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 41172, -4.\nAnswer: -4, -3, 41172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -8.5, 1.\nAnswer: -8.5, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15138053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + p**2 + p + 2. Let a(n) = 10*n**3 + 11*n**2 + 8*n + 12. What is a(x) - 6*y(x)?\nAnswer: -2*x**3 + 5*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 8.2136082\nAnswer: -24.2136082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Calculate the lowest common multiple of (-2)\/h + 45\/18 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1186*h - 114*h - 421*h - 309*h)*(17 - 1 + 32).\nAnswer: 16416*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 823643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17004584, -17004587, -17004590?\n\"Answer: -3*u - 17004581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 22*b + 48. Let m(g) = g. Let j(l) = -h(l) - 6*m(l). Let f be j(-20). Solve -2*t - f = -2*n - 12, -4*t = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minus 158507?\nAnswer: -157972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1663228 and 4354.\nAnswer: 1663228","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m + 47*m - 82*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.950642 litres?\nAnswer: 7950.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46496 and 38992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6517 and 399.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 27)\/((350\/(-4375))\/((-28)\/(-175)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - 30\/8. Let y be 4 + (2 - 4) + 0. Sort y, -5, x in decreasing order.\nAnswer: y, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11)*l**5)**(-17)*(l*(l*l\/(l\/l**(-2\/27)))\/l*l*l)\/(l*(l**(8\/3)*l)\/l)*l*(l\/(l*l**(-5)\/l*l*l))\/l*l*(l\/l**(-4\/7))\/l*l assuming l is positive.\nAnswer: l**(-145315\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/(15\/21)*1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (107\/1819)\/((-56)\/(-272))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -41*m**4\/24 + 125*m**3\/6 + 2*m**2 + 597*m - 1. Give o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34233*g**4 - 209*g**2 + g - 102.\nAnswer: -821592*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**3 + 7*p**2 + 16*p + 14. Let y(i) be the first derivative of 7*i**4\/4 + i**3 + 4*i**2 + 7*i - 186. Let v(r) = -5*y(r) + 3*z(r). Determine v(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j = 49*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3846.23 take away 0.01?\nAnswer: 3846.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123, 1595, 6025, 15033, 30239?\n\"Answer: 270*p**3 - 141*p**2 + 5*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 7 + 5 - (1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*f = -337*f + 1. Is f != 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*s = -393*s - 8296 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-1)\/15)\/(662\/4965)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 11 - 1. Suppose 0 = -d*f + 10, 5*w - 42 = -4*f - 2. Let n(k) = -k**3 + 3*k**2 + 4*k - 1. Determine n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 59 + 49. Let d = 14 - r. Let i = 76 - d. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Solve y*d - 4 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -355.7 + 357.7. What is the biggest value in 2\/11, h, 0, 15, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061 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: What is the greatest common factor of 309 and 4002477?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + ((-2)\/1 - -3). Suppose -36 = -3*n - 5*f - g, 8 = n + 2*f. Let t(y) = y**3 - 9*y**2 + y + 11. What is the lowest common multiple of t(9) and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516 is divided by 190.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32231, 64451, 96669, 128885, 161099?\nAnswer: 193311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 234, 471, 760, 1101?\n\"Answer: 26*y**2 + 159*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 + -121?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*k**3 + 6*c**2*k - 504*c*k**3 - 123049*c*k + 142*k**3 - 2*k**2 wrt k.\nAnswer: -12*c**2 - 3024*c + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1405 divide 831354836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1908*f**2*l - 4*f*l + 4077*l wrt f.\nAnswer: 3816*f*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:39 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 852*j. Let p(s) = -30*s - 2. Determine f(p(u)).\nAnswer: -25560*u - 1704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*n**5 - 16*n**5 - 1064*n**2 + 45*n**5 - 21*n**5 + 69*n**6 wrt n?\nAnswer: 8280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 divided by 7?\nAnswer: 985\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -243015 times 5?\nAnswer: -1215075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + 10 + -10 + -14 - (9 + 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42717 divided by -29.\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrraaa. Give prob of sequence rr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108) + 1 + sqrt(108) - (sqrt(108) + (-1*(sqrt(108) + 0) - sqrt(108))))**2.\nAnswer: 144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64943 and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -8*c**3\/3 - 2. Let g(v) be the first derivative of -4*v**3\/3 - 5063. Calculate g(s(i)).\nAnswer: -256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/2 + 30975*s**2 + 185857*s\/2 + 61953 = 0. What is s?\nAnswer: -2, -1, 61953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14888 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/16 (b) -4\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 5, c: 1, g: 2, u: 4, k: 1}. Give prob of sequence zz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(850\/20)\/17?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 (base 12) in base 6?\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i**3 + 7*i + 4. Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.000175 + 12. Round u to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*z - 50*z**2 - 57*z**2 - 27*z + 24*z + 28*z to the form x + d*z**2 + b*z and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221 - -362. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73320 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9908520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((-7)\/(-98)*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.5316 + 0.2784. Let g = -5.4 - y. What is g rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 7*k**2 + 7*k - 5. Let y be z(-8). Let a(w) = y*w - 3 - 5*w + 3*w. Calculate a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**2 - 8*o**6 - 7*o**6 + 12*o**6 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148638 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from {t: 1, w: 2, d: 1, z: 1, x: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*r = -r + 17, -r + 23 = 5*o. Suppose 2*i = -o*z + 30, 4*z - 12 = -2*i + 16. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {f: 1, q: 2, h: 1, n: 3, m: 3, a: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7486 = 164*r - 161*r + 4*p, 2*p = 2*r - 5000. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (784\/(-30))\/14 - (-4)\/(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrzzzuh. What is prob of sequence rz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 10*b**2 + 12*b + 8. Give z(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2722982 is divided by 181531?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 + 7*i - 17. Let x be m(-10). Suppose x + 179 = 4*a. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 - g**2 + 3*g**2 + 0*g**2 + 7*g**2.\nAnswer: -7*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*h - 3 = -316*h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w + 3. Let q(b) = b**3 - 3*b**2 - 3*b + 5. Let o be q(3). What is the units digit of u(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22*u**2 - 11*u - 22. Let f be l(-7). Let s = f + 1774. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:29 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 72. Let j be a(-14). Let h = j + 128. Let i = 12\/11 - 83\/66. What is the biggest value in h, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.3 (b) 133.14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, h: 3, n: 4, x: 3, f: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.5, 5, -5\/6, -127?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 2*y = 64*z + 123790, 3*z - 4*y = 92855. List the prime factors of z.\nAnswer: 3, 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 5596770*b - 1566191721645.\nAnswer: -5*(b - 559677)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:59 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -5*z + 966. Solve z*k = 49*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 - o + 6. Let z be a(5). Suppose -b = z - 6. Solve 3*n - 2*n + 5*t - 11 = 0, n + 3*t = b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*q + 128*q + 504 = -64*r, -8*r + 2*r = 48 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 17311\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 4 + (-55)\/(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*g - 17. Let s be 0\/(4\/14 + 27\/g). Is s smaller than -1\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5314.0034819 + -5314. Round t to five decimal places.\nAnswer: 0.00348","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -936 at most -101160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7040167465?\nAnswer: 5, 1087, 1295339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -537.424 and 25.3.\nAnswer: -512.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16399 is divided by 311?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*1314\/292.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 19 = 2*y - 0*y, 2*m - 5*y = -19. Let n = 87 - m. What is the remainder when n is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let o(b) be the third derivative of -787*b**4\/24 - b**3\/6 + 1435*b**2. Give l(o(a)).\nAnswer: 787*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 10, -10.341?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1083 + -1083.1. Put -2\/7, 31, 5, x in decreasing order.\nAnswer: 31, 5, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -724800 divided by -724800\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4060 + -4022. Which is smaller: d or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 10 + 10 = 0. Which is smaller: r or 14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + 4*c**2 - 9*c + 35. Let x(a) = -7*a**3 + 9*a**2 - 20*a + 70. Let q(d) = -9*j(d) + 4*x(d). Calculate q(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3*y + 2)*(3*y + 13 - 13).\nAnswer: 9*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13468\/490)\/26 - 3\/(16 - 1).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9*64\/(-1008)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 3, o: 1, w: 1, g: 1}. Give prob of picking 1 o, 1 g, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 1\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h + 20. Determine i(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 + 79893*a\/2 - 159810.\nAnswer: 3*(a - 4)*(a + 26635)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117579, -235149, -352731, -470331, -587955, -705609, -823299, -941031?\nAnswer: -1058811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 10) to base 13.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-604)\/1661)\/(138\/33)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 574.\nAnswer: 9184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2601 - 2596. Solve s = -q*o - 15, s = -2*o + 3*s + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240*y + 122*y + 109*y - 4 + (2 - 5 + 2)*(0*y + 2*y + 0*y).\nAnswer: -11*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 10\/(-6))\/(3\/(-9)). Solve 0 = b - i, 0 = -3*p + 3*b - 2 - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + o + 0*o + 1851*o**2 - 1218*o**2 to the form p*o + q + v*o**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o - 3. Let z be f(3). Suppose y + 4*p = z*p + 5, 5*y + 5*p - 25 = 0. Solve -y*l - 20 = -0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.952 - 39?\nAnswer: 103.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124437.\nAnswer: 3, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*h**3 + 249*h**3 + 253*h**3 + 249*h**3 - 1265*h**3 + 249*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40915071 is divided by 123985?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 + -404012?\nAnswer: -403404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -3*p, -d + 6 = 5*p + 2*d. Suppose -p*m = m + 8. Let j = m + 3. Which is greater: j or 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:46 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:30 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - s**2 - 2*s. Let k be f(0). Suppose k = 3*i + 1 + 71. Let c = i + 44. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7*(-266046)\/(-1015) - (-1)\/5 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -69*g**2 + 2*g - 9. Let f(o) = -138*o**2 + 5*o - 19. Let p(i) = 2*f(i) - 5*t(i). Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/3 of a century in months?\nAnswer: 26800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2093*c**2*s**2*z - 2*c**2*s + 64842*s**2*z wrt c?\nAnswer: -4186*c*s**2*z - 4*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 8*r**2 - 7*r + 18. Let a = 23 - 32. Let p be u(a). Solve -5 = 3*l + 2*w, -4*l = -p*w + 4*w + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 32. Let m(y) = -15*y**2 + 140*y + 5. Let n(o) = 31*o**2 - 245*o - 9. Let z(l) = 7*m(l) + 4*n(l). What is r(z(v))?\nAnswer: -38*v**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*z + 49*z**2 + 32*z + 26*z)*(5*z - 5*z - z**2 + (2 - 2 - 2*z**2)*(4 - 4 + 2) - 2*z**2 - 1 + 1) as a*z**2 + k + q*z**4 + c*z + j*z**3 and give q.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -69, -92, -115, -138, -161?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/1158420 and -95\/36.\nAnswer: 3475260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 12. Calculate the remainder when 35 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40566, 46482, 52398?\n\"Answer: 5916*i + 34650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:49 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78957899 is divided by 415.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24389417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 200511299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13657, -13654, -13615, -13510, -13309, -12982, -12499, -11830?\n\"Answer: 5*k**3 - 12*k**2 + 4*k - 13654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.92 or 0.025?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, -0.12163?\nAnswer: -0.12163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -20, 20, 60, 100, 140?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -448592.\nAnswer: -2691552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/1*-10. Let w(c) = 4*c**3 + 2*c**2 + c. Let n be w(-1). Let k be ((-5)\/n)\/(1\/3). Solve -j - d*j - m = 25, -k*j - 15 = -m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/154 + (-6)\/(-55)*(-4 - 1)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298032*j**2*s - 6590*j**2 + 22 with respect to s.\nAnswer: -298032*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7865 - 7842. Calculate the greatest common factor of v and 25898.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/1957890 and -59\/52350.\nAnswer: 9789450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 2*i**3 - 4*i**3 - 14 - 3 + 5 - 3*i + 4*i**3 in the form m*i + k*i**3 + r + j*i**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3364 + 483?\nAnswer: -2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 16. Let d(r) = 17*r + 88. Let w(a) = 4*d(a) + 22*z(a). Let q(h) = -14*h + 2. What is q(w(l))?\nAnswer: -28*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 + 3*y - 4. What is f(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 34.3?\nAnswer: 34.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + 30420212?\nAnswer: 30420254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10574 + 10553. Let y = -1 + 3. Is y > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*b**2 + 0*b**4 - 3*b**6 - 15*b**4 + 5*b**6 wrt b?\nAnswer: 240*b**3 - 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5013, 10007, 15001, 19995?\n\"Answer: 4994*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 29 = -9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 0.3928.\nAnswer: 6.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.49838 years in centuries?\nAnswer: 0.0349838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j - 6. Let s be o(8). Suppose -8*w = -7*w - s. Solve 0 = -0*d - 4*d + t + 11, -w*d = 4*t + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 431*j - 7567. Give t(-85).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -3. Let k = u + -2. Which is the biggest value? (a) -5 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 3*z**2 + 3*z. Let k be s(-3). Let v = k + 9. Solve -2*f + x = v, -2*f - 4*x = -9*x + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*t - 69*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:38 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - q + 26 = 0, 4*q + 0 = -4. Let d be 2 - (y\/3 + 4). Suppose d = -g + 2. What is the nearest to -2\/3 in -3, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2062 + 2061.7. What is the nearest to 2 in z, -12\/11, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*g**2 + 4)*(9*g**3 - 78*g**3 + 2*g**3) - 5*g**5 + 3*g - 3*g.\nAnswer: -206*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17799, 18130, 18461?\nAnswer: 18792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-28))\/((-50)\/(-525)*-18)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 145*h - 5. Let n(q) = -8*q. Give n(b(g)).\nAnswer: -1160*g + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 475831\/22 + -21625. Find the common denominator of h and 14\/42*290\/12.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(9 + -11). Find the third derivative of 3*f**2 + 9*f**3 - 7*f**3 - 5*f**g wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000827902557 to 6 dps.\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19803 and 4347.\nAnswer: 178227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 3. Determine r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/613 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 71 (b) -0.566 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 2*a + 10*a**2 - 10*a**2)*(3 - 3 + 2*a + (-2*a - 3*a + 4*a)*(1 - 2 - 1) - 2*a - a + a + 3 + a - 3).\nAnswer: 6*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 15*p**2 - p - 5. Let u be b(15). Let j = 5 + u. Sort 3, j, -2 in descending order.\nAnswer: 3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2306*l + 29337 = 2339*l. Calculate the remainder when 1812 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 143*f + 50 = -148*f, 0 = -2*t + 5*f + 32 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(14\/9)\/(i*(i**(-1\/29)\/i)\/i)*(i**(-5)*i*i*i)**17 assuming i is positive.\nAnswer: i**(-8198\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603, 2469, 5567, 9885, 15411, 22133?\nAnswer: 30039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6799*z**3 + 6309*z - 2?\nAnswer: -40794*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 62*n - 6. Let x be z(2). Let o = -28 + x. What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s = 4164 - 70692. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 25 - 38 = -3*w, -5*w + 2*z + 99 = 0. Calculate the greatest common factor of 247 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477493747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8226 - -8241. Sort 4, l, 0, -4 in decreasing order.\nAnswer: l, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 1579160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -i - 4*z, -50 = 5*i + 414*z - 412*z for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5925476*i**2 - 116*i - 30405?\nAnswer: 11850952","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/15*(5 - 0). Suppose -62 = -q - 5*z - 7, -q = -x*z - 55. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 6*a - 15. Let s be v(7). Find the second derivative of 30*d**2 - 23*d - 6*d - s*d**2 + 8*d wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 169. Let u = x - 68. Let s = 52 - u. Which is the closest to -2\/7? (a) -2 (b) s (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213799 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 1055*b**2 - 764. Let m(i) = 2*i. Give m(s(u)).\nAnswer: 4220*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 6125257697.0926?\nAnswer: 6125257696.5926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5432 or 885279\/163?\nAnswer: 885279\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 570594991 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 8 = 0. Suppose -2*n = i - 0*n - 3, -w*i - 4 = -n. Let c be 40*(-1 - (i + -1)). What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7258, -6822, -6376, -5914, -5430, -4918, -4372, -3786?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z + 3. Let n be r(-6). Let v be (260\/6)\/(34\/n). Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 10*j + 10. List the prime factors of o(-11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 - 10*a + 11. Let t be l(-8). Let v = -19 - t. Calculate the common denominator of -43\/5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.83601 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 98, 175, 276, 401?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-10 - (7 + -10 - -4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 1480.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -38*j + j**2 + 9 + 2 - 9 + 39*j. Calculate s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*h = 8, 2*c = 4*h - 0 + 4. Let g be 1834*1\/c*1*1. Suppose -224 + g = 3*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6429)\/4286)\/((-2)\/6*(-9)\/22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u - 3. Let j be q(2). Let c(f) = -15*f**2 + 9*f - 9. Let m(v) = 7*v**2 - 4*v + 4. Give j*m(r) - 4*c(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3 - 241*m**2 + 689*m - 336. Give k(-63).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -43) + -1 + 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q - 15. Let l = -4 - q. Let h = 17 + -15. Solve 0 = m - 3*g + h*g + 5, 0 = l*m + 4*g - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -13 - (384 - 376)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9010012 rounded to three decimal places?\nAnswer: -13.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/3 - 88*o + 2904 = 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -13, -2, 6.\nAnswer: -13, -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 2976?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*4*(-1)\/2. Suppose -h - i = -8, -4*i = -3*h - 2*h + s. Suppose -4*f - 4 + 20 = -4*c, 16 = -2*c + h*f. Round c to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202302 (base 4) in base 8?\nAnswer: 4262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 0, 3, -4, -28, 2 in increasing order.\nAnswer: -28, -4, 0, 2, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1217, -1180, -1139, -1094, -1045?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202222 + 2?\nAnswer: 202224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/35 - 4 - 0)*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 11*o**2 + 14*o - 24. Calculate m(-12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 9*v + 12. Calculate i(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/22 in 3771, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 334*h**4 - h + 1335?\nAnswer: 1336*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 3278280*o - 671694984900.\nAnswer: -4*(o + 409785)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 110 = -2*p + 25, -p + 5*v = -87. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 243*v**3 - 38 + 241*v**3 + v to h + f*v + o*v**3 + g*v**2 and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 10*s - 1 = 0. Let r = -37\/10 + 26\/5. What is the nearest to r in s, -1\/4, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - h - 152 = -14*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k + 13*k - 2*k**2 - 3*k**3 + 11*k + k**2 to the form w*k**2 + i*k + o + b*k**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9174*g**3*o**2 + 1846*g**3*o - 2*g*o**2 - 3*g + 2*o**2 + 32*o - 1 wrt o.\nAnswer: 18348*g**3 - 4*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:54 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z + v, 3*z + 5*v + 3 = 12. Let n = -2 + z. Let p(f) = 110*f + 2093. Let d be p(-19). Sort n, d, 0 in ascending order.\nAnswer: 0, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14883167927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 62.36\nAnswer: 6.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -73 (b) 2\/9 (c) 401 (d) -1\/3 (e) 5 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -583*r**5\/20 - r**4\/6 - r**3\/3 - 5*r - 8. What are the prime factors of p(-1)?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000445490601 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -3, -15, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**4\/6 + 4*o**3\/3 + 5*o - 10. Let t(g) be the first derivative of i(g). What is the second derivative of t(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*i - 411*a**2 - 5*a*i**3 wrt i.\nAnswer: 2*a**2 - 15*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 2*d)*(-4 + 6 - 1) - 5*d + 5*d + d - 83*d + 136*d + 110*d.\nAnswer: 165*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence def when three letters picked without replacement from fefeddaddefad.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -1\/4, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, l: 6, v: 5, k: 5, c: 1}. What is prob of picking 1 k, 1 c, and 1 m?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3\/(-3) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*j**2*z + b*j*z**2 - 1123*b*j*z - 3*b*z - 2*b + 127754190*j**2*z**2 + 2*j**2*z + j - 4*z wrt z?\nAnswer: 2*b*j + 255508380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -4.12\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2628968 by 8.\nAnswer: 328621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*x - 294*x - 296*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 26959*m**2\/2 - 53915*m\/2 - 26957\/2.\nAnswer: -(m + 1)**2*(m + 26957)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.216 - 1.216. Let o be (-1*1)\/(21\/(-3)). What is the third smallest value in -0.4, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 169*m + 91. Let d(u) = -168*u - 91. Suppose 21*y + 5 = 20*y. Let f(c) = y*h(c) - 6*d(c). Differentiate f(w) wrt w.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6733 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzzzrmyzrymzrz. Give prob of sequence yr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*x + 153*x + 2871 = 0. Let u = 1592 + x. Is u + -1 + 2 + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmhmmmmmmmmhmmmmm. Give prob of picking 2 h.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1701 (base 10) to base 7.\nAnswer: -4650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(9)\/sqrt(3) + 5)**2 - (2 + -4 + 1 + sqrt(243)).\nAnswer: 3*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -54f8c9 (base 16) to base 11\nAnswer: -3163947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 23. Let q be -14 - 4\/(-3)*3. Calculate the least common multiple of (2436\/29)\/((-3)\/(-2)) and z(q).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + u = 6653, 5*s - 10*u = -8*u + 6659. Suppose 3*z = s + 346. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4382?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 14. Which is the nearest to -1\/4? (a) -1\/4 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (-1*sqrt(325) + -4 - sqrt(325)))**2 + -5.\nAnswer: 160*sqrt(13) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3796650 divided by -126555\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + x**2 + 2*x + 1. Let n be z(-1). Suppose -4*f = 4*v - 32, f - n*v + v = 0. Which is the nearest to -1? (a) f (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:20 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 114. Calculate u(6).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:38 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 101.3. What is the nearest to 0 in 8.5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-36) - ((-60)\/(-18))\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1724 and 1724 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -0.01.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(135\/36))\/((-20)\/(-180)*50)?\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17 + 3)\/4*1. Suppose 2*g = 5*c - 9, f*g + 0*g - 2*c = 9. What is the third smallest value in g, -0.06, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 5*c**3 + 3*c**3 + 27*c**4 - 28*c**4 - 3*c + 49 to i*c + m*c**4 + b*c**3 + j + q*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2695 = 42*c - 37*c. What are the prime factors of c?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 7 + (-2205)\/252. Put z, -7, 1\/12, 20, 4 in decreasing order.\nAnswer: 20, 4, 1\/12, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36698.977462 - -36699. What is u rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p - 1. Determine w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 0. Suppose 0 = -2*i + 12, -12 = -3*z + 6*i - 5*i. What is the least common multiple of z and c?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (225\/(-12))\/((-6)\/40). Does b = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/3030 and 109\/10804980.\nAnswer: 10804980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 24 = 5*t, -8*a + 3*a = t + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a, 3*c - a - 18 = -32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {w: 2, a: 2, n: 1, v: 2, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {i: 1, x: 2, h: 2, b: 1, n: 1, d: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32\/3 + 67\/3. What is the common denominator of -1\/18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 69. Calculate the common denominator of 1 - 7105\/c*3\/885 and -57\/10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36455\/84 + 434. Let h(r) be the third derivative of 0*r**3 + 0*r + 2*r**2 - 1\/210*r**5 - w*r**4 + 0. Solve h(z) = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-47 - -25 - -47)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 6. Let k = i - -35. Calculate the greatest common factor of k and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/70*1\/(48\/21)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 2*c + 25. Does 11 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((198\/(-60))\/11)\/(18\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 + 3*n**3 - 4*n**3 + (-2*n + 2*n**3 + 2*n)*(0 - 3 + 1) - 3*n**3 - 23*n**3 + 9*n**3.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-20))\/(2\/15). Let f be (-3)\/(-64)*(3 + 1). Let t = 19\/272 - f. Which is the third biggest value? (a) m (b) -3\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18149733 and -19\/30.\nAnswer: 181497330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*t + 96141 = -1161*t for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80763881 and 29368684.\nAnswer: 323055524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26337 + 26336.991573. Round q to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1603.209 - -1603. Put 0.4, q, 2\/3 in increasing order.\nAnswer: q, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 3 - (-50)\/12)*(-8)\/18?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 127740977 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 - -177. Solve 5*g + 28 = 2*h, g + 3*h = i*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/11 - 8*q**4\/11 + 8*q**3\/11.\nAnswer: 2*q**3*(q - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doxkkkgkkdgkkax. What is prob of sequence dgxx?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 - 40 - 3*s**3 in the form q + a*s + k*s**3 + p*s**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -569, -1166, -2785, -5936, -11129, -18874?\n\"Answer: -85*f**3 - f**2 + f - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1651, -1736, -1933, -2296, -2879?\nAnswer: -3736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -27. Let x = 10 + b. Let o = -2\/5011 + 5017\/15033. Put x, o, -3 in decreasing order.\nAnswer: o, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 2\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 83. Let f(t) = 3*t**3 - 11*t**2 - 8*t + 6. Is f(j) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/3)\/((x**(-2\/13)*x)\/x)*x*x*x\/(x**(-2\/5)*x*x)*x**(-3\/14) assuming x is positive.\nAnswer: x**(4567\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, -70, -6, 4 in decreasing order.\nAnswer: 4, -1, -6, -9, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and 1.444?\nAnswer: 1.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:42 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 353*o - 14. Let p(d) = 350*d - 19. Give 3*p(y) - 4*r(y).\nAnswer: -362*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z + 58*z**2.\nAnswer: 58*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 86344?\nAnswer: 1295160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12295*k**3 + 4095*k**3 + 4096*k**3 + 4103*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 divided by 261?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6118 and -45\/12236?\nAnswer: 12236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**3 + 1\/6*k**4 + 0*k + 0 + 139*k**2 + 1\/90*k**5. Factor l(t).\nAnswer: 2*(t + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204*q**6*u**2 + q**4*u + 13*q**2*u**2 + 4*q**2 wrt q.\nAnswer: 24480*q**3*u**2 + 24*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7257.897 decades in years?\nAnswer: 72578.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-16)\/98)*-2160 - 2. Let a = u - 330309. Let y = a + 81391. What is y rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11168190 is divided by 367?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9420 + -9419.5. Which is the third biggest value? (a) 2\/9 (b) -3 (c) -0.4 (d) 38 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66213\/2788 + -1\/1394. What is the common denominator of ((-2)\/28)\/((-3)\/51) and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -1988189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 73 - 107 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 241?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 - 13*z**2 + 8*z - 12. Calculate the smallest common multiple of 10 and u(5).\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 2400?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.418146 weeks in seconds?\nAnswer: 252894.7008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/9)\/(((-408)\/18)\/(-34))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39516419*g**2*y**2 - 26980*g**2*y + 6*g - 19*y + 1 wrt y?\nAnswer: 79032838*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o**4 + 2)*(-4*o + 0*o - 4*o + (2*o + 1 - 1 + (-1 + 0 + 0)*(-3 - 2*o + 3) - o - 2 + 2 - 2 + 2 + 2*o)*(-1 + 0 - 1)).\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 475 + -476.36. Let b = t - -1.23. What is the second biggest value in -0.9, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26715 = -40*l - 47*l - 324*l for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 take away 1.1?\nAnswer: -81.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-1\/29)*i*i*i)*i\/(i\/(i*i**38))*i**(11\/5)*i\/(i\/i**(-1\/24)) assuming i is positive.\nAnswer: i**(132911\/3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3511258, 3511254, 3511250?\n\"Answer: -4*k + 3511262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 4*y + 15, 2*i + 3*y - 5 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9 and -2.51?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6440\/6)\/((-7)\/21). Let c = u + 6445. Let i = c - 19225. What is i rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 5*f - 7. Let n be q(-6). Let c = -12 + 24. Calculate the remainder when (1\/(-1))\/(n\/34) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3809 - -88400382.\nAnswer: 88400382.3809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-37 + 3)) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382246.\nAnswer: 2, 37, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 9*c**2 - 10*c + 8. Let h be l(8). Let x be (-1 + (-2)\/h)\/((-5)\/20). Suppose -2*w + 5*r = -136, -2*w + x*r = 4*r - 124. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*n**2 - 17*n - 129*n**3 + 37*n - 20*n - 13*n**3 wrt n.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - 109. Suppose -4*c - 2*w + 176 = 0, -8203*w = 3*c - 8205*w - 160. What is the highest common factor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8 - (-1039 - (5 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 9:55 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*w = 514 + 2089 + 1219. What is the remainder when 58 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -0.02 (c) 1 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 + 2) - (47 + -74).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (0 - -10) + (2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*b - 2120 - 736 = 0 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -184 and -186 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, f: 4, p: 1, o: 4, d: 1}. Give prob of sequence pfrd.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 247, 438, 629, 820, 1011?\n\"Answer: 191*t - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 3*o**2 + 6*o - 4. Let n be a(4). Let b be -17 + ((-744)\/6)\/(-4). Solve -b*s + 18*s - n = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*m**3*o**3 - 3*m**3 + 1991*m**2*o**3 + 276*m + 11 wrt o.\nAnswer: -30*m**3*o**2 + 5973*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 2. Let g be u(5). Suppose -2*s - g = -7. Solve 0 = s*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3649, -13645, -29977, -52645, -81649?\nAnswer: -116989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bc6 + 17cb?\nAnswer: 45b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 4:33 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*y + 40*y - 3344 + 176*y in the form f*y + q and give q.\nAnswer: -3344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -0.155.\nAnswer: 4.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Solve -a + d*j - j = 6, 3*j - 6 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 3, t: 1, s: 5, u: 5}. Give prob of sequence ff.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/20*(-12)\/(-9)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:16 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-38)\/133)\/(6\/1554))?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35782641 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: Suppose 3*b - 5*o - 46 = 0, 4*b + 0*b = -3*o + 100. Let u = b + -23. Let f be 12\/(-7 - u)*8\/(-1). Solve -5*q = 4*y + f, -5*y = -5*q + 2*q + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/9)\/(3\/(-9)). Suppose -q + 2*q - x = 0. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 42*r + 7. What is o(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 15*o**2 + 8*o + 11. Let q be s(-3). Let n = q + -120. Let p(y) = 142*y**3 - 12 + 143*y**3 - 286*y**3 - 9*y**n + 9*y. Give p(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z**(-3\/4))\/(z**(-1\/2))**18 assuming z is positive.\nAnswer: z**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57440 - -57339.956. Round w to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.718 to 0 dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x + 0*x)*(x + x - 5*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 3425534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 6. Let s = -15.1 + d. Let w = 3.6 - s. Which is the nearest to -1? (a) -0.06 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 0 + 0*a**2 - 92*a - 31\/12*a**4 + 0*a**3. Let f(q) = 6*q. Give f(g(c)).\nAnswer: -186*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 + 266. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63313 is divided by 1978.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6408 and 12984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 2869\nAnswer: -7\/2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 27\/2 + 11\/2*r**4 - 1\/2*r**5 - 81\/2*r - 23*r**3 + 45*r**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330319470 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121740 from -0.3.\nAnswer: 121739.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211012010 (base 3) to base 2.\nAnswer: -11111100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2. Let j(z) = 436*z. Calculate r(j(w)).\nAnswer: 950480*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61152)\/(-1078) - (-149 - -197).\nAnswer: 96\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q - l, -2 = q - 3*q + l. Differentiate -600 + 2*a**q + 8*a + 246 + 285 - 3*a wrt a.\nAnswer: 6*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283240783 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1095442 and 5\/1531598.\nAnswer: 1992608998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/3 (b) -2\/15 (c) -0.19828 (d) -27 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 divided by 169?\nAnswer: 609\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/15*(-10)\/(-4)*-7405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396296222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 426033 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1015 + 5?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 41 = -4*f + 2, 3*f + 32 = -5*c. What is the units digit of f\/(-6)*(47 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6231 and 115204.\nAnswer: 717836124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z**3 + 292*z**2 + 0 + 7\/24*z**4 + 0*z. Let y(k) = -k. Let v(i) = 3*i. Let t(d) = -3*v(d) - 8*y(d). Calculate t(s(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)*r)\/(r*r**1)*(r\/((r\/r**(-1))\/r))**(-21)*(r**12\/((r\/(r\/(r*r**(2\/21)\/r)))\/r))**(-22\/5) assuming r is positive.\nAnswer: r**(-6022\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180))**2 + (sqrt(5) - (sqrt(245) + 2 - sqrt(5))).\nAnswer: -17*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.12 - -4.82. Which is the smallest value? (a) 17 (b) r (c) -3\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + w**4 + 0*w**4 + (14*w + 0*w - 2*w)*(5*w**3 + 2*w**3 - 5*w**3) + (0*w - w - 3*w)*(-4 + 4 - w**3).\nAnswer: 30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p + 2*p - 2*p)*(3 - 3 + 2) + 1 - 2*p + 4*p - 8*p + 4*p - p + 2*p)*(42 - 42 + 2*p).\nAnswer: 6*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 13\/(-8))*8. Let g(v) = -v**2 - 5*v + 1. What is g(u)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16\/b*b\/b**(-7\/6))\/(((b**(2\/29)*b)\/b)\/b*b*b*b**9\/b*b) assuming b is positive.\nAnswer: b**(1235\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p - 4 = 0. Put p, -1, 5 in increasing order.\nAnswer: p, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/12*(-8)\/(-5). Which is the closest to -2? (a) 1 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(28\/24).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 88*h + 45. Let m(c) = 177*c + 91. Let v(x) = -6*m(x) + 13*n(x). Does 46 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2\/2 - 13*b - 913. What is k(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 490 - 5.1\nAnswer: 484.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(68) + 5*(1*sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68))*-6 + 3)**2.\nAnswer: 576*sqrt(17) + 352516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 18 = 0. Suppose -5*x - 40 = -t*x - 2*s, 4*x = -5*s + 34. Let a(n) = 21*n**3 + 4*n. Let g(z) = -4*z**3 - z. What is x*g(h) + 2*a(h)?\nAnswer: -2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + ((-100)\/(-8) - 6). Let w(x) = 5*x - 3. What is the smallest common multiple of w(z) and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 11 + -8 + 25\/(-5). Solve -6*c + 19 + 5 = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2380\/85)\/((-14)\/(-98)*7).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f + 168*f = -22389 + 1986309. What is the remainder when f is divided by 248?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 90 = -3*q, 12 = 4*a. Suppose 0 = -13*u + 3*u + 10. Are u and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.94 + 7. Let i = 4.06 - t. Let q = i - 4. Sort q, -0.1, -5.\nAnswer: -5, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681419 is divided by 446880?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 22*s + 56. Let g be p(13). Suppose -3*k + 90 = 69. Put k, g, 5 in ascending order.\nAnswer: g, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/15 + -23\/60. Let v = -5 + 4. Let n be (v*3)\/(-6)*0. Is s < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 804, 797, 790, 783, 776?\n\"Answer: -7*g + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4512 = 230*p + 778 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*f - 22*f - 26*f + (-5 + 4 + 3)*(-2*f + 5 - 5))*(388*f - 928*f + 1 + 332*f).\nAnswer: 208*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a**3 - 4*a + 3*a)*(0 - 7 - 58).\nAnswer: 195*a**3 + 65*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(1\/6). Let c(n) = -4*n + 35. Let d be c(12). Let x be d\/(-11) - ((-26)\/(-22) + -1). Solve 2*g = -5*l - x, 0 = -s*l - 2*g - 2 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16474a (base 13) to base 10\nAnswer: -552692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 36. Suppose n*c + 9 = 24. What is the tens digit of (-2)\/10 + 151\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3\/2, -3\/2, 534\/59, 39 in increasing order.\nAnswer: -5, -3\/2, 0, 3\/2, 534\/59, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19078863 divided by 6359621?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*f - 0*f - 1826, -5*d - 5 = 0. Let s = 395 + f. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 5. Let w(z) = -z**3 + 10*z**2 - 15*z + 9. Let t be w(8). Suppose 1 = 4*h + t. List the prime factors of m(h).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -127b0 + 61c8?\nAnswer: -95b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 156 (c) 2 (d) -3 (e) 2\/17 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23623, 47239, 70855, 94471, 118087?\n\"Answer: 23616*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -7\/2*a**2 + 0 + 2*a + 7\/6*a**3. Is f(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m = 7*c + 25*m + 117 - 10 - 3, -5*m + 15 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 411 and -12.026.\nAnswer: -4942.686","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -5*i**2 - 957. Let f(s) = 86*s. Determine f(z(w)).\nAnswer: -860*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -68, 3, 4 in ascending order.\nAnswer: -68, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*4 - 4\/(-4). Suppose -5*z = -s - 25, -2*s + 2*z = 3*s + r. Let h = -10.1 - -10. Is h at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*n - 37 + 1038, -4*m = -5*n - 1332. What is the highest common factor of m and 3706?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 2*b**3 + 2*b**3 + (-166*b**4 + 93*b**4 - 215*b**4)*(b - 4*b + 0*b) + 2*b**5 - b**5 - 3*b**5.\nAnswer: 864*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 9, 0.3, 1, -2\/11, -0.4, -23586?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 11 = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8542 - 5240. Let k = m - 3302.4034. What is k rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2389718322 + 2390038759.00182. Let s = -320441 + x. Let y = s + 4. What is y rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(12\/11))\/((s**0*s)\/s) assuming s is positive.\nAnswer: s**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -30. Solve v*g + 4*z = -18, 5*z = 5*g - 10*g - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-5))\/(52\/(-65)))\/((-20)\/(-80)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(12\/2))\/(2\/(-138)*-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*l**2 - 27*l**2 + 7*l**4 + (3 - 3 + 2*l)*(4*l**3 - 28*l**3 - 12*l**3) + l**4 + 3*l**2 - 3*l**2.\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*h + 2*y - 6, 4*y + 24 = 4*h. Let c be (-3 + 7)\/4 - h. List the prime factors of c - -1*(37 + -2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = r + 3*r + 2*a, -7*r + 450*a - 448*a = 95 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) -0.3 (b) -15 (c) -546 (d) -11 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvvxxvvvvvv. What is prob of picking 2 v and 1 x?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 88, 89, 90, 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306600122, -613200242, -919800362, -1226400482, -1533000602?\nAnswer: -1839600722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = 4*g - 21, -4*t - 9 = -g. Suppose -4*o + 27 - 1 = p, -3*p - g*o + 43 = 0. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0 - 16\/4). Suppose c*n - 24 = 2*n. Let g(f) = 12 - 11*f - 6 - 8*f - 11 + 18*f. Calculate g(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by 2.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6565 or -10?\nAnswer: 6565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * -5.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123.62 - -108.6256. Let z = -15 - p. Round z to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/480*-30)\/((-3)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.1, 5\/2, 5\/4, 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1279 or -1280?\nAnswer: -1279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-12) + 9 + 231\/(-28). Let o(j) = -j - 1. Let s = 9 - 6. Let a(f) = -f. Give k*o(l) + s*a(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13707779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 11 = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 17408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4\/5*x**2 + 2\/5*x**3 + 0 + 0*x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 2*q + 23 + 4*q + 1 - 3. Let j be c(-7). Let l = j + 72. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2166674.1 months to centuries.\nAnswer: 1805.56175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.06, -0.4, -158, 0.1 in ascending order.\nAnswer: -158, -0.5, -0.4, 0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 930 + -850. Let z = 28 - 26. Sort -2, c, z in decreasing order.\nAnswer: c, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/33 + (-1)\/(-3). Suppose -2*l = -0*l - 4*k - 184, 2*l + 2*k - 160 = y. What is the remainder when l is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/8 - -20)*(-8)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101044 (base 9) to base 15\nAnswer: -12acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 7*t**2 + t + 9. Let k be c(-7). Suppose -k*h + h + 3*m = -104, 214 = 2*h - 4*m. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 + -54?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -11, 15144 in increasing order.\nAnswer: -11, 35, 15144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 140 = -5*n, 328*l - 129 = 323*l - 4*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2) + (-45)\/(-40)*1. Which is the fourth biggest value? (a) -8 (b) -2 (c) y (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34179 + 48179. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49612644 and -0.665?\nAnswer: 49612643.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2863.4948 + 932?\nAnswer: -1931.4948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*i**5 - 3\/2*i**4 + 3\/2*i**3 + 0 + 3\/2*i**2 + 0*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17890731?\nAnswer: 3, 1237, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1\/246 (b) -0.12 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x. Let k be 10 + 25\/(-5) + -2. Let m(c) be the second derivative of k*c + 0*c**2 + 0*c**3 - 1\/6*c**4 + 0. Give l(m(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2269319*p. Let v(d) = -11*d**2. What is q(v(k))?\nAnswer: 24962509*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10)**(-19) assuming p is positive.\nAnswer: p**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - 4*l = 0. Suppose l = 5*o - 12404 + 3429. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(4\/3)))**(7\/6) assuming p is positive.\nAnswer: p**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -19. Suppose -5*c + 5*f + 10 = 0, -2*c + 2*f = -q*c + 31. Suppose c*v - 27 - 28 = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -19 - (4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 11*v**2 - 4*v - 10. Let h(u) = -u**3 - 10*u**2 - 5*u - 9. Let f(s) = -3*b(s) + 4*h(s). Give f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*t - 1248 = 0, -5*t + 3*t + 1252 = 4*v. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.528443 rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*v + 4. Let f(r) = r**2 + r - 1. Let y be f(v). Let x be ((-8)\/4)\/(y + -2). Let t(m) = -m + 1. Give t(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2359*c + 1238*c + 1273*c + 8968 = 0 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -0.14. Let a = 0.12 - y. What is the third smallest value in -0.5, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59056, -120074, -181092, -242110, -303128?\n\"Answer: -61018*b + 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*s**6 - 99*s**4 - 31*s**3 + 2*s**2 + 7*s + 1486 wrt s?\nAnswer: 19440*s**3 - 2376*s - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4234 is divided by 198.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 7:44 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**2 - 238*c - 3664. Determine l(-17).\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 - x + 3. Let z be a(0). Suppose -n + 964 = -z*n. Let u = -284 - n. What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 - -47447717278\nAnswer: 47447717281.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + i = 9, -3*i + 24 = -0*s + 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 21 = -3*k. Suppose -d = -5*y + 26, 3*y - 4*y + k = -2*d. Let n = 14 + y. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 3*u + 91. Let o be r(7). Suppose -o*z = -2 - 19. Which is greater: z or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.17029 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, -1, -27.8, 0.1 in increasing order.\nAnswer: -27.8, -2, -1, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*s + 3685, -6*a = -5*a + s - 1229. Let z = -658 + a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1039, -1888, -2561, -3058, -3379, -3524, -3493?\nAnswer: -3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -53. Suppose 5*v + 5*k = 39 + 36, -4*k = v - x. List the prime factors of ((-174)\/v)\/((-1)\/((-36)\/(-2))).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39028 divided by 2?\nAnswer: -19514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 691\/1864 + 1\/233. Put -1, -0.1, p, 1\/3 in descending order.\nAnswer: p, 1\/3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5050 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 t = -527 - -359. Is t smaller than -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2 + (10\/4 - (-485)\/(-10))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**6\/120 - b**5\/60 - 3*b**4\/4 + 11*b. Let x(t) be the third derivative of k(t). What is the tens digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-154772.\nAnswer: -46431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g*g**(-1\/2))*g*g**(2\/3))**47 assuming g is positive.\nAnswer: g**(1175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2. Let k(y) = 17162982*y. Calculate o(k(n)).\nAnswer: -294567951132324*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24803641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-3))\/(-1) + -3. Are -1 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) - (-223312)\/32 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.5 (b) 0.4 (c) 3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19031213 is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmfl when four letters picked without replacement from mflpepe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 379 - 382. Let q(t) = -t**3 - 5*t**2 + 6*t + 2. Let g be q(-6). Put g, a, 3 in ascending order.\nAnswer: a, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0)*12\/9. Calculate the remainder when (f\/6)\/((-1)\/(-36)) is divided by 15 - (-1 - (-2 + -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1802? (a) -0.1 (b) 2\/7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let p = -5\/9 + 55\/18. Is p smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120\/(-99)*(3276\/3290)\/13. Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367775, -735550, -1103325?\nAnswer: -1471100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 581544 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 198, 389, 760, 1371?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - c + 1. Let b(o) = -44*o**2 + 66*o - 66. What is b(n) + 66*u(n)?\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, 0 = 3*n + 3*m - 21 - 0. Let q(w) = -n + 4*w + 7. Let o(x) be the first derivative of x**2\/2 + 5. What is q(o(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t - t**4)*(43 + 18 - 18)*(4 + 0 + 0) + (-1 - t**2 + 1)*(-t**2 - t**2 + 4*t**2) - 2*t**4 - 3*t**4 + 3*t**4.\nAnswer: -176*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*n + 14*n + 8*n)*(5*n - n - 3*n)*(9 - 11 + 7).\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -37660*((-8)\/(-5))\/(-2). Suppose 4 = -4*g, -5*b = -g - y - 7673. Suppose -9*i + b = -1341. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -27600?\nAnswer: -1\/6900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.395393 years in decades?\nAnswer: 0.5395393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 6:32 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.97 + -13. Let p = -0.37 + u. Which is the nearest to 3? (a) p (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - -1.96. Let d = -319721 + 118296859\/370. Let l = 3\/74 - d. Put -1\/4, l, q, -4 in descending order.\nAnswer: q, l, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.0552+1\nAnswer: 20.0552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1523 + -24116\nAnswer: -24115.8477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/5 + 28*l**2\/5 + 222*l\/5 + 72 = 0. Calculate l.\nAnswer: -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-80)\/(-160))\/((-2)\/8). Let z = 0.1 + 0.3. Which is the closest to 2? (a) 4 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*c - 28*c - 67*c - 130*c + 2*c**2 - 35*c.\nAnswer: 2*c**2 - 170*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -33, -10049 in descending order.\nAnswer: 4, 3, -33, -10049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 2*y**2 + 5*y - 8\/3.\nAnswer: -(y - 1)**2*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - f - 1)*(-2 + 5 - 4) - 104*f + 30*f + 22*f)*(-5 + 2 + 4)*(f**2 - 5*f**2 + 2*f**2) as n*f**2 + q*f**3 + b*f + z and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1, -7293 in increasing order.\nAnswer: -7293, -9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-10 - (-8 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -56828*n - 5000859. Give h(-88).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 393, 300, 13, -468, -1143?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 137\/411*(-6)\/8. What is the closest to 2.2 in -1\/11, -3, b, -1\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4913 less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k - 22*k**3 + 155066 - 155066.\nAnswer: -22*k**3 - 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771435.\nAnswer: 3, 5, 7, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 11070\/7 (c) -2\/17 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283595772 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -4. Calculate the highest common factor of z and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {t: 5, o: 2, p: 1, k: 3, v: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.14, -1, 4, 0.1, -5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*f + 21 = -f, -f - 23 = -4*k. Suppose 0 = -4*r + 6*r + k. What is the units digit of 4 - (6\/r - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030439567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*d = 137*d - 238. Calculate the remainder when 106 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-693)*-6*2*198\/(-48)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28351771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28412 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*k = g + 4, 2*g + 4 = 4*k. What are the prime factors of (-36)\/g*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**3 - 28*h**2 - h + 16. Let d be u(3). Solve 10 + 8 = -d*b + 3*l, -10 = 2*b - 2*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 - 4 = 0. Suppose 73 = 3*u - r + 3*r, -5*u = -v*r - 80. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*p**2 - 4*p**3 + 27*p**2 - 4 + 1 + 10*p**2 + 5*p**3 in the form c*p + f*p**3 + n + r*p**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8166639 minus -10435?\nAnswer: -8156204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3844218005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 29 = -16*j + 31 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 129. Let h = 0.43 + -2.03. Put -4, h, 1\/2, a in decreasing order.\nAnswer: 1\/2, a, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3 + 15224*x**2 + 4833616*x + 3215648.\nAnswer: 4*(x + 634)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 1. Let x be 400\/35 + 3 + (-17)\/7. Suppose x = 12*d - 16*d. Calculate z(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 - (-3311)\/((-12)\/(-12)).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 330709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59948822*l - 35927593?\nAnswer: 59948822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030992 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383630786, 383630787, 383630788, 383630789, 383630790?\nAnswer: 383630791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87395674.\nAnswer: 2, 17, 107, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eleleeelleeleleeee?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-621 - 48*t + 621)*((-t + 7*t + t)*(3*t - 4*t + 4*t) + 2*t**2 + 5 - 5).\nAnswer: -1104*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-411)\/45 - (38\/171 - 32\/90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g - 56*g - 2*u = 0, 52 - 72 = 5*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (36 - (50 - 30)) + -19\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let s be p(-7). Suppose 140 = 2*q - s*q. Let h = -18 - q. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:33 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*d = -107*d - 2*y, -d - 4*y = -22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 10 - 8 = 8*w, -17*c + 15*c = -4*w + 22 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 16. Let z be 0\/(a\/(-1) + -1). Suppose -2*s + j = -z*s - 25, -2*s = 5*j - 31. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947029482 divided by -5010738?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 - 19 = 3*t, 2*t + 17 = -g. Let h = -7 - t. Let m(k) = k - 4. Let a be m(h). Solve a = -2*d + 4*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 + 20.7. Does y = -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((4 + -7 - -3) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 2. Let v be o(-5). Suppose -v*s - 6 = -5*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 105467 (b) 3\/5 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1530*w**6 - 605*w**2.\nAnswer: 183600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9 - (105 - 104)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(28)\/sqrt(4)) + (sqrt(405)*-2 - sqrt(405)))**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 4, 14\/9, -5\/49 in descending order.\nAnswer: 4, 14\/9, -5\/49, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3670 and 420215?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**7\/280 - v**4\/6 - 2*v**3\/3 - 4. Let z(x) be the third derivative of w(x). Differentiate z(y) wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/50 and -89\/370.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 107395 = -27*w + 24*w, -2*r = 5*w - 214757. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -3)*5\/25. Solve 0 + 3\/5*a**4 - 3\/5*a**2 - k*a**3 + 1\/5*a = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808.13 rounded to the nearest integer?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 37*j**2 + 78*j + 2. Determine y(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 10:17 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944890 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 69*n. Let l(x) be the second derivative of x**4\/4 + 2739*x. What is l(z(j))?\nAnswer: 14283*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.3895 - -5.38977797. What is d rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 1325, 3209, 5861, 9275, 13445?\nAnswer: 18365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 5*sqrt(136)*-3)\/((sqrt(40)*3)\/sqrt(5)).\nAnswer: -14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/116, -27 in decreasing order.\nAnswer: 0, -3\/116, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - k**3 - 2 + (-6*k + 2*k - 2*k)*(k**2 - k**2 - 2*k**2).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-175)\/(-28) + (-1)\/4. What is the greatest common factor of 14 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15979389 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 3. Let o = 15 - 15. Suppose 0 = 4*m - o*m, 0 = 3*f + 4*m + 51. Let r = -18 - f. Let p(u) = 1. Calculate r*v(d) + 3*p(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 1\/6 (c) -0.3 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, u: 2, h: 5, x: 7}. What is prob of picking 1 u and 1 h?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 18*u - 1. Let d be l(9). Let c be (3\/9)\/(d\/(-408)). Suppose -140*i + 28 = -c*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 - 2*d**2 - 7*d**2)*(2288 - 2288 - 189*d**3).\nAnswer: 2835*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 - 9*k + 9. Let l(b) = 3*b**2 - 5*b + 5. Let m = 16 - 7. Let i = 78 - 83. Calculate i*f(d) + m*l(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 9384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-9 - (-9 - (5 - 9))) + 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/125 - (-6)\/(-15) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 624 - 627 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 217 and -0.5.\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2891620*j**5 + 3964860*j**2.\nAnswer: 173497200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181881 is divided by 7577?\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2043 and -151\/197406.\nAnswer: 44811162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1325391 divided by 5\nAnswer: -1325391\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*p + 48 + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2931 by -3.\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 22225.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13138*i + i**2 + 13132*i + 3 - 1 + 7*i**2 to j*i**2 + g + w*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3053 = -7*p - 274. 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 2042600 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.246 - -14.647.\nAnswer: -14.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 12 = 79*s, 4*s + 4*g = -155 + 139 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3262497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -21. Solve 4*z - 5*y = 18, 12 = n*z - 0*y - 3*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 s when four letters picked without replacement from {i: 5, u: 3, g: 5, s: 2, y: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 72*o + 73*o = b + 6, -8*b + o = 69 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a*a*a\/a**(1\/5)*a**(-6)\/(a\/a**0) assuming a is positive.\nAnswer: a**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d - 3*d. Put -0.2, -1, d in ascending order.\nAnswer: -1, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -3259, -11594, -27817, -54556?\nAnswer: -94439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -166. Solve u - m - b = 2*m, 4*m = -20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - 1258\/(-8). Which is smaller: 155 or t?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 4*u**2 - 31*u - 163. Let i be n(-5). Suppose -2*v = 3*p - 348, -15*v - 4*p - 376 = -i*v. Is v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24806 and 785.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 divided by -22.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 2397.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 21*f + 5. Let n be c(-21). Let r(v) = -v**2 + 5*v + 6. What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*o)*(-4*o + 2*o + 0*o) + 2*o**2 + 2*o**2 - 3*o**2 + 0*o - 2*o**2 + 0*o + 2*o**2 + 2*o**2 - 2*o**2 + 3 - 3 + o**2)*(o**3 - 8*o**2 + 8*o**2).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/12)\/(14\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18536 greater than or equal to -2\/3539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 254.\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16155 times -0.4?\nAnswer: 0.06462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -0.769?\nAnswer: 6.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(52\/(-546)). What is the common denominator of 65\/1058 and 7 + -10 - ((-1498)\/24)\/c?\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -153 + 17. Calculate the remainder when 67 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8518 rounded to 2 dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1960)*2 - sqrt(1960))\/(sqrt(1152) - (sqrt(1152) + (sqrt(1152) - (sqrt(1152)*-2 - sqrt(1152)))) - sqrt(1152) - sqrt(8)))**2.\nAnswer: 245\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -2*w, -2*m = 3*m - 3*w - 9. Suppose 2*t - 6*t - 10 = -2*p, 11 = -3*t - 2*p. Let j be 0 + t + (19 - 4). Solve m*y - j = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/5 - 18*t\/5 - 144\/5 = 0?\nAnswer: -6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(52\/40)*(-119350)\/(-9548)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 6*l**3 - 9*l + 3*l to g*l**2 + y*l + m*l**3 + x and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.166 - -0.334. Let b = -86 - -86. What is the closest to b in 0, r, -1\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 4*r**2 - 235 + 0*r**2 + 5*r**2 + 222 - r. Suppose -2*l = -3*x, 5*x - 3*l = -2*l. Determine m(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose -s = g - 3*g + 3, 0 = -2*g - c*s - 12. Suppose 2\/3*q**3 + 4\/3*q**2 + 0*q + g = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) - (-38)\/(-6). Find the common denominator of j\/8 - 234\/168 and -73\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3294)\/4392 - (4\/(-10) + 163\/(-180))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9038 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -88770.2 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 2*n + 18, -b + 5*n = -8. Solve -d - d + 5*t + 25 = 0, b*t + 15 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2106838 and 605738.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2360 and 97\/708.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 5*c**2 - 6*c**2 - 4108 + 4109. What is n(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.47964*0.673\nAnswer: -0.99579772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 24.000894. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a40 (base 14) in base 10?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) - (-1)\/5. Suppose c = 2*d + 6. Let g = d - -16. Calculate the remainder when 37 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7))**9\/(j\/(j**(-3)\/j)*j\/(j**7\/j)))**47 assuming j is positive.\nAnswer: j**(423\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*r + 232*r = -6211 - 11683 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 332748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + (4 + -12 + 5 - 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 5*p - 65, 0 = i - 17*p + 12*p - 55 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 = 950*i - 898*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367 at most 2524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10570, 10594, 10632, 10684?\nAnswer: 10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -5*f + 12, -2*f - 13 = 5*t. Let s = t + 1. Let h be 1\/(1 + 1)*s. Solve h = -4*z + 3*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556 times 74?\nAnswer: -115144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25299043 and 1666.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 5, 0.91, 4, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 2, 504, -2 in ascending order.\nAnswer: -25, -2, 1, 2, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7550 = -290*m + 25820. Let w = 24 + -17. Calculate the highest common divisor of w and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 9*m + 9. Let i be y(7). Suppose 3 = -5*f + i. Find the third derivative of -7*u**2 + 4*u**2 + u**4 + f*u**2 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62461569 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 31*v = -7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21*z + 75*z - 21*z + 11 + 8*z**2 - 14*z - 13*z. Let q be (-2 - -2) + (1 - 12). Is x(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 - 1930*w**2 - 83745*w + 85680 = 0. What is w?\nAnswer: -336, -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231 * 497.\nAnswer: 114807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63996, -64012, -64060, -64140, -64252?\n\"Answer: -16*s**2 + 32*s - 64012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + 4*(-1 + sqrt(75))*-5.\nAnswer: -100*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15025217*r**5 + 443*r**2 + 88.\nAnswer: -901513020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -789048 by 43836.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-252 - (6 - 4)). Let z = h - -393. Suppose 0 = -22*u + 17*u + z. Calculate the greatest common divisor of 252 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7390 divided by -2.\nAnswer: 3695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 112 - 104 = 0. Let t = 17 - 23. Let d be t\/(-4)*(-12)\/765. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 70*i + 65*i + 5 = 0, -5*i - 1 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4264 = 152*d, 5*d - 148 = 28*f - 30*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*l - 7. Let f(c) be the second derivative of -1\/3*c**3 + c**l + 0 - c. What is the first derivative of f(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62858.\nAnswer: 2, 53, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 19 - -20) + -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {t: 13, f: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1 + (11 - 11 - -2). Calculate the highest common divisor of h and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3\/9 + 838*n**2\/3 - 43960*n + 197192\/9 = 0. What is n?\nAnswer: 1\/2, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 7}. What is prob of picking 4 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14.8. Let x = -4 + k. What is the nearest to 2\/7 in x, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11 + 1 = 0. Suppose u = -v*u. Solve u = -y + 1 - 3, -5*q + 35 = -5*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 2, h: 6, w: 3, z: 3}. Give prob of picking 1 w and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/3)\/v)**(9\/8)*v*v\/v**(1\/4)*v**(-1\/3)\/v)\/(v**(-2)*v**(-5))**(-18\/5) assuming v is positive.\nAnswer: v**(-3019\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 404292 - 404292.909897. Let g = -78 - -77.09. Let u = h - g. Round u to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 849*r + 616. Is d(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/40*-2*20*8\/(-64)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 297*o + 8 + 2 - 11 - 2.\nAnswer: 297*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h - h + 19*h)*(0*h**2 + 2*h**2 + 0*h**2) + (3*h**2 + 2*h**2 - 3*h**2)*(-5*h + 0*h + 3*h)*(2 - 3 - 2).\nAnswer: 70*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414075202 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 17894.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (140\/245)\/((-2)\/7). Let l(m) = m**3 - 2*m**2 + 2. Let u be l(1). Sort 4, g, u in ascending order.\nAnswer: g, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 740 = 16*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*c + 5*g, 4*g = -25*c + 23*c + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 1271, 1907, 2543, 3179?\nAnswer: 3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 1. Suppose -2*h - 4 = p + 5, p - h - 3 = 0. Let z be ((-3)\/6)\/(p\/2). List the prime factors of k(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5269 (b) 1.5 (c) -3\/2 (d) 1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2239 - -8567. Let q be (625*80)\/((-14)\/y). Round q to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 3)*(-354)\/6 + -5. Calculate the highest common divisor of z and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**2 - 11*y + 4*y - 15*y**3 + 16*y**3. Let a be i(-9). Find the common denominator of ((-2)\/a)\/((-7)\/371) and -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 - 12660*g**2\/7 + 37971*g\/7.\nAnswer: g*(g - 12657)*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 140?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/2274142397 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8975 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 250 = 3*x. What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228155418*x**3 + 284239785 with respect to x.\nAnswer: -684466254*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11017916 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 85, 5 in descending order.\nAnswer: 85, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**8\/1680 + k**5\/40 + k**3\/2 - k**2. Let m(u) be the first derivative of b(u). What is the second derivative of m(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6160 times 3\nAnswer: -18480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = -239*j + 196*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-246)\/(-205))\/((-8)\/(-80)*-14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w**38*w))\/w*w)\/(w*w\/w**(2\/29)))**(17\/2))**(-2\/11))**(-2\/49) assuming w is positive.\nAnswer: w**(-39372\/15631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1722 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-554)\/(-78) + 38940\/(-5310)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:16 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4 - 470*t**3 - 24539*t**2 + 25010*t = 0.\nAnswer: -410, -61, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 15) to base 16.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = p + 45509, 45517 = 3*s - 3*p + 4*p. Let i = s - 409570\/27. Calculate the common denominator of -20\/33 and i.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k. Suppose 48*g - 42 = -282. Let d(y) = 0 + 0 - 72*y. Calculate g*d(r) + 28*u(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 103*r - 619. Let c be d(6). Let f(o) be the first derivative of o**2 + 2*o - 1. Let v(w) = 1. Let j(h) = c*v(h) - f(h). Determine j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 6)*(1022 + 71*r - 1022).\nAnswer: 284*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 1 + 0 + 2*y. Suppose -100 = 24*b - 4*b. What is d(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48556684*v - 31732728 wrt v?\nAnswer: 48556684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/742976 and -15\/13.\nAnswer: 742976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/39*((-3 - -2) + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031238444 to the power of 1\/2, to the nearest integer?\nAnswer: 32113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 1 - 4 = 5*p, 3*p - 4*k = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 35. Let h be c(8). Suppose 4*f - 17 = 2*s - 61, 4*s - 67 = f. Let p be s\/6*(-3)\/(-36). Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-6 - -2))*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w - 59. What is the remainder when i(-52) is divided by 64?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1902*g - 1902*g - 2153*g**3.\nAnswer: -2153*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and 25\/58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89449*f**2*p - 3*f*p + 2*f + 117*p + 3 wrt f?\nAnswer: 178898*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16995 + -16991. Solve 2*t + c*u - 5 = -13, 4*t - 29 = u for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 284. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3915*b**2*f**2*s**3 + 226*b**2*f**2 + 2*b**2 + 6*b*f*s**3 + b*s - 14*b + 62*f wrt f.\nAnswer: 7830*b**2*s**3 + 452*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/x**2*x*x)\/x)**(-1\/35)*x\/(x*x\/(x*x**18))*x**(-3\/25))**(-47) assuming x is positive.\nAnswer: x**(-146593\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 17401.78.\nAnswer: -121812.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(45)\/sqrt(5) + sqrt(9))*6)\/(1*sqrt(24)\/(sqrt(8) + -4*(sqrt(128) - sqrt(8)) - sqrt(8))).\nAnswer: -3456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y - 2. Suppose 2*s - 20 = -22, 5*s = -2*g + 3. Let q(l) = 4*l - 2. What is g*h(x) - 5*q(x)?\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 16*w - 36. Let v be x(18). Solve v = -m - 3 - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6806060243181 - 0.1.\nAnswer: -6806060243181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2351896 <= -2351955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*o - 276*o + 0 - 1 + 2 to d*o + k and give d.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2, -1\/22, 25\/13, -16\/21?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 5*r + 9. Let c be a(-7). Let n = -119 + c. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(-27 - -1). Let u(c) = c**3 + 12*c**2 - 13*c + 8. Let z be u(v). Let t(f) = -f**3 - 4*f**2 - 5*f - 4. Let k be t(-3). Solve k*g = -2*g + z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + o**2 - 1803 + 1801 - 2*o**3 - 120*o + 0*o**2 to s + x*o**3 + y*o**2 + t*o**4 + h*o and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 17*t = -5*h - 38, 2*h - 5*t + 29 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.3, -0.2, -1, 2290, 39\/5?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6358558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 4*f + 10. Give z(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 177 (b) 2 (c) -5\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5)**(-23))**34 assuming k is positive.\nAnswer: k**(-3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 divided by -56?\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*l - 97 + 531 = 506*l - 526 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h - 3*h = 0. Suppose u - 10 = -3*b, 0 = -2*b - h*u + u. Solve -b*v = 8 - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -81*d - 5. Let o(u) = 4615*u + 284. What is -284*f(g) - 5*o(g)?\nAnswer: -71*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185\/4*(-34 + (-279134)\/(-8155))?\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -925430?\nAnswer: -925427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*r = 4*l - 5*r - 50, 4*l = -5*r - 71 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand -49*z - 64*z - 25*z + (0 + 1 + 0)*(-3 - 2*z + 3) - 2*z + z - z + 0*z + 0*z + z - 3*z + 0*z - z.\nAnswer: -145*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 9*o**2 + o - 9. Let a be v(9). Let f(d) = -d**2 + 4*d + 5. Let b be f(4). Solve a = 2*t - b*x - 6, -2*t - 6*x - 14 = -x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60*-16\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.03864.\nAnswer: -0.96136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 c when four letters picked without replacement from xcxxcxccxxcx?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 55.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*b - 14355, -3*b + 4*b + 3*n = -2867. What is b rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 4, -2*b = 3*w - 11. Let z(y) = y**2 - 1. Let r(m) = 13*m**2 - m - 3. Let l(x) = r(x) - 4*z(x). What is l(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5732750*x**3 - 2484970 wrt x.\nAnswer: 17198250*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 4131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31484 divided by 15742\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltludqgt. What is prob of picking 1 u, 1 g, and 1 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 8*t**2 + 5. Let d be o(-8). Let r(a) = -a**2 + 2*a. Let z be r(2). What is the first derivative of d*c**4 + z*c**4 + 1 - 2*c**4 wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -2*n. Let h = 9 - n. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205 and 44\/132*(-2 + 14).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-2*s**3 + 4*s**3 - s**3) + (55*s - 55*s + 17*s**2)*(3*s - 5*s + 3*s).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 take away 437?\nAnswer: -446.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7884206351 + 7884206351 + 89*a**2.\nAnswer: 89*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164848)\/61818*-2*42\/(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 12*c + 10. What is the units digit of d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490538948?\nAnswer: 2, 3, 59, 499, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 33 = 8*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 0?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from wfuawwguuuugwfuuuuu?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -29. Suppose 0 = 6*y - 3*y - a. Let o(b) = -y*b + 3 + 4*b + 3 - 2*b. What is o(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.178097 + 1.1841. What is q rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132300.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 0*u + 0*u)*((-3 + 4 - 3)*(0*u + u + 0*u) + 31*u + 187*u - 34*u).\nAnswer: -728*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11373090 is divided by 1018?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**3 - 35*c + 38*c - 1042 - 7*c**3 - 2*c**3 + 1458*c**2 + 7062 wrt c.\nAnswer: 6*c**2 + 2916*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-3)\/(-9). Suppose k = 5*k + 5*z - 51, b = z - 3. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4 + 14. Let u(m) = -6*m - 3. Is u(k) 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 1290144 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*d + 4*c, 69*c - 64*c = 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 25*k + 345 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.06, 2, 1.2.\nAnswer: -1\/7, 0.06, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3564) + -1.\nAnswer: -5 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3751\/(-55))\/11)\/(24\/480*-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9219.5 to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 0*s**2 + 3 + 8*s**2 + 3*s**2 + 7*s + s. Let q(t) = 7*t**2 + 5*t + 2. Give 5*c(p) - 8*q(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*84\/63.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37814 divided by 8\nAnswer: -18907\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/5 - 51*q**3\/5 + 114*q**2\/5.\nAnswer: -3*q**2*(q - 2)*(q + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26483, 35320, 44155, 52988?\n\"Answer: -g**2 + 8840*g + 17644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + r**2 + 4*r**2 - 2*r**2 - r**2 + 2*r**2 + (2 - 2 + r)*(-2 - 2*r + 2) + r**2 - r**2 - 2*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n - 1. Let x(b) = -b. Calculate -p(g) - x(g).\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -8*u**3\/3 + 145*u**2\/3 + 346*u\/3 - 161 = 0.\nAnswer: -3, 1, 161\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46152 and 75996?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 76 (c) 1 (d) -0.5 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least -25994440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 24*h + 31. Let u be m(-4). Let a(s) be the first derivative of -s**3\/3 - s**2\/2 - 3. What is a(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*a**5 + 2*a**4 + 5*a**3 - 150*a**2 + a + 4 wrt a.\nAnswer: -13020*a**2 + 48*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 - 1133?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 49, -266, -1001, -2294, -4283, -7106, -10901?\nAnswer: -15806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 170. List the prime factors of (8 - (-10 - -14))\/((-1)\/o).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 12. Let v be j(7). Suppose 0 = -3*m + r + 4, -v*m - 3*r - 3 = -33. Solve 3*q - 2 = 5*p + 5*q, -3*q - m = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 - 469*d\/4 + 11454.\nAnswer: -(d - 83)*(d + 552)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**3 - f**2 + f + 1. What is the tens digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6469?\nAnswer: 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1264, -2654, -4028, -5380, -6704?\n\"Answer: z**3 + 2*z**2 - 1403*z + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*h. Suppose p + 0 - 3 = 0. Let s = p - h. Solve -w = s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*z = -5*s + 23, z - 3 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 11*v**3 + 25*v**2 + 13*v.\nAnswer: -v*(v - 13)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62271 and 1289331?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/5 + 1\/(-5). Let m be h\/(1 - (-2 - -2)). Let f(o) = o**3 + 8*o**2 - 5*o + 2. Is f(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -6. Let h = -6 + g. Let p = h + 72. Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 270.54272 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - h + 20 = 7*o, 2*o + 4*h + 10 = 0. Suppose 11 = 5*i - 84. Suppose -o*t - 4 + i = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/3751 (b) 0.07 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -75 in -2, -0.1, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 13*c - 24. Let v be h(2). Sort 26, v, 4 in descending order.\nAnswer: 26, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06387 + -0.0614. What is z rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-0.19\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44 + -3472)\/(6\/1000). What is t rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/36)\/(2\/(-50)))\/(19\/((-3192)\/(-28)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1056 equal to -1227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980 divided by 6?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-3)*(-3)\/(-2). Factor -5*w**4 - 5*w**5 - u*w + 5*w**2 + 17*w + 5*w**3.\nAnswer: -5*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = 12. Let j be 1\/(u\/(-6) + -1). What are the prime factors of j\/12 - (-178)\/8?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 3. Let w = -19 - -14. Let r = 7 + w. Give o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*p - 79, 5*p = m - 8 - 24. What is the remainder when 701 is divided by m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 14, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*i + 361*i - 166*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - o = 35, -406 = 3*h + 4*o - 383 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:13 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408*3.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/(-2184)*84)\/((-7)\/(-20))*6\/170.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/120 - z**4\/24 + 23*z**2. Suppose p(f) = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:40 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 - -253.5. Let m = 19.5 + d. Let l be 0 + 10\/(-8) + 1. Which is the closest to 0.1? (a) 1.3 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154193596.\nAnswer: 2, 38548399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28446*m - 7362*m - 21145*m.\nAnswer: -61*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*z + 2838*z + 2414*z as s*z + w and give s.\nAnswer: 5230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 5 - 3 + (5 - 4 + 2)*(-2 - 3 + 4))*(0 + 0 - x) in the form z + i*x and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.057 and -126568.7.\nAnswer: -7214.4159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1284*d**2 + 20*d - 3. What is o(-1)?\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/8*280\/(-100)*4\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 8922 = 7296. Calculate the greatest common divisor of 20352 and b.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -72. Let a be ((-70)\/(-15) + (-1)\/(-3))\/c. Find the third derivative of -9*r**2 + 13*r**a + 2*r**2 - 6*r**5 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20859.21 and 16.4.\nAnswer: 342091.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a68 (base 11) to base 14.\nAnswer: 1ccd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6686, 26684, 60026, 106712, 166742?\nAnswer: 240116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + ((-25855)\/15)\/((-1)\/3). What is the third derivative of -13*o**2 + m*o - 6*o**5 - 5167*o wrt o?\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -59*p**2 - 233*p + 231. Calculate n(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(128) + -1) + 2 + (sqrt(128) + (1*(sqrt(128) + 1) - sqrt(128)) + sqrt(128) + sqrt(128))**2.\nAnswer: 64*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 5*y + 2*y)*(3*y**4 - 5*y**4 + 0*y**4).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let t = -167 - -187. Suppose j = -t + 43. Solve -j = 5*h + k*v, -3*h = -2*h - 2*v + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 27*o**2 - 185*o + 44. Let g be x(13). Sort -5, 13, -3, 8, g in ascending order.\nAnswer: -5, -3, g, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49\/2 + -24. Let h = -0.1 - -0.3. Let r = 0.8 + h. Is y != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 15, -1\/6, -401?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 33. Let l be g(-14). Let r = 15 + -9. Let t = l - r. Solve b - t*b + 5*o = 17, -o = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 + 179 - (51 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -49. Let m = -66 + o. Let h = 25 + m. Solve -z + 5 - h = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -6.\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 83, -2\/15, -2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Let a = -26 + 35. Let l = a - q. What is the nearest to 0 in -0.3, 3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -429 and 62267?\nAnswer: 62696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 31 + 31 = 0. Suppose 2*w = -f*w + 22. Solve 4*y + 3 = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 12. Suppose a = u*a - 75. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and -14\/6115.\nAnswer: 36690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 42. Give n(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*n + 20, -4 = u - 2*n + 3*n. Suppose w - 2*p + 1 = u, 0 = -3*w + 5*w - 2*p. Let d be (-59)\/(-30) + 7\/35. Is d equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**7\/1260 + m**6\/240 - m**5\/15 + m**4\/12 - 2*m**2. Let y(x) be the second derivative of f(x). Is y(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3))**(1\/11)*(i*i\/i**(1\/2))**(-1\/19) assuming i is positive.\nAnswer: i**(-109\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(2 + 58)\/(-3). Suppose -195*q + c*q = 185. What is the remainder when 182 is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -32.7. Let m = -0.1 + 0. What is the second smallest value in -4, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*a - 5*g, -6*a + a + 28 = 2*g. Suppose 0 = -t - 2*t - a. Which is bigger: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 2*d + 0*d + (-3*d + 4*d + d)*(-18 + 14 + 32).\nAnswer: 54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-8))*g*g*g**(-10)\/g*g)\/((g**12*g)\/(((g**(-10)\/g*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 16) + 14 + (-1 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95.5 - 95.54. What is the nearest to 1 in 1, 0.2, -0.09, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185070.\nAnswer: 2, 3, 5, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10880 is divided by 165.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 115 * 0.5\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189833.\nAnswer: 281, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2255, -4518, -6793, -9086, -11403?\n\"Answer: -u**3 - 2256*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**6\/720 + i**5\/12 - 3*i**4\/4 + 7*i. Let n(m) be the third derivative of t(m). What is n(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b - 15. Let r(k) = 1. Let q be (-3)\/(-20 + -1) - (-531)\/7. Let w = q - 70. Suppose w*i - 10*i + 60 = 0. Determine i*r(t) + y(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 21*k**2 + 20. What is the lowest common multiple of 22 and i(-21)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at least 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1601 + 106?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -127004, -254005, -381006?\n\"Answer: -127001*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -3. Suppose 3*t - 2 = -2*a - 6, 1 = a. What is the closest to -1 in -1, s, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 - 210*p - 1408. Give q(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*r - 55. What are the prime factors of 36\/r*(-10)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p - p - 6*p)*(2 - 4*p**2 - 2) to the form f + q*p**2 + w*p**3 + s*p and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -16*f + 24*f - 32, f - 5 = 0. Solve -5*b = -38*r + 36*r - 6, -2*r - 4 = -m*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 184*h**2 + 6*h + 138. Let v(i) = 369*i**2 + 11*i + 322. Determine -3*v(k) + 7*x(k).\nAnswer: 181*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 102753540 to the nearest one hundred thousand.\nAnswer: 102800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 17246?\nAnswer: -68984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 6*z**2 - 7*z**2 + 4*z**2 - 2. Give b(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226671 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 40*w**3 + 70*w**2 - 6. Let x(p) = -43*p**3 - 71*p**2 + 5. Let k(y) = -5*f(y) - 6*x(y). Find the third derivative of k(h) wrt h.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/12 + 37*i**3\/3 + 3*i**2. Let w be g(0). Suppose -v = -3*v + w. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*g - 33*g + 0 + 0 - 2*g**3.\nAnswer: -2*g**3 + 282*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 - 18*i**2 + 3*i - 6. Let h(f) = -f**3 - 2*f + 1. Calculate 6*h(b) + l(b).\nAnswer: -2*b**3 - 18*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 124293556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a + 4420?\nAnswer: 454a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - c**2)*(64 + 66 + 14*c**2 - 129).\nAnswer: -14*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -20*f - 176. Let a be p(-9). Let i be (-9)\/(-36)*-5*a. Let y(n) = 2*n + 3 + 4*n + n**3 + 5*n**2 - 5*n. Determine y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 485682, 971361, 1457040?\n\"Answer: 485679*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*(-6)\/4. Suppose n*m = -5*h + 10, 5*h + 6 - 16 = -m. Let d(g) = 105 + h*g**2 - 105. Calculate d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*r**4 - 2*r**2 - 379.\nAnswer: 104*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-18)\/5)*(-185 - (-59225)\/345).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**36*(q**(3\/8)*q)\/q*q*q**(1\/6)*(q*q\/(q\/(q*q*q**9\/q*q)))\/(q*q**(-5)\/q*q)*(q**1\/q)**(1\/43) assuming q is positive.\nAnswer: q**(-443\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 41\/3*l**3 - 23 + 0*l + 111\/2*l**2. Find the second derivative of t(k) wrt k.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 + 16*b - 2. Let q(u) = -10*u**2 - 25*u. Give 5*q(h) + 8*r(h).\nAnswer: -2*h**2 + 3*h - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53910?\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55192 is divided by 264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jju when three letters picked without replacement from jzju?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 - 20610*v**3 - 3*v**2 + 20610*v = 0. Calculate v.\nAnswer: -1, 0, 1, 6870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -10, -0.4, 2.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31812 and 20244?\nAnswer: 222684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4297\/66 - 476\/11. What is the common denominator of u and 2\/4 + 184\/28?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*u - 4*d - 6, -u + 7 = -2*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 4, o: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-13 - -25) + (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, m: 5, c: 3, y: 4}. Give prob of sequence yyy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 0.5 (b) 0 (c) 1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/7 - n**4\/12 + n. Find the third derivative of s(g) wrt g.\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v**3 + v - 1. What is z(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 371, 361, 355, 353, 355?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 - 3*k**2)*(-3 + 2 + 0) - 3*k**2 + 2*k**2 - 9*k**2 + (-4 + k + 4)*(-2 + 2 + k) + 0*k**2 + 3*k**2 - k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0.18 (c) -2\/13 (d) -9 (e) 1\/6 (f) -1\/83\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 3 + (4 + sqrt(4608)*-2 + 4 + sqrt(4608) + (0 + sqrt(4608))*5)**2).\nAnswer: -147586 - 6144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34937644 and 966?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5589\/5 + 1120. Is w at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -2649 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - w + 2. Let g be x(1). Let s = 8 - g. What is the least common multiple of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 139 - 59. Solve 0 = -4*h - 5*g + 21, g + s + 11 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + x - 364 = -357, d - 5*x + 31 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, i: 7}. Give prob of sequence iii.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 8*f + 8. Let a be p(2). Suppose 222*b - 216*b - 192 = a. What is the remainder when 177 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/42574212 and 23\/194161?\nAnswer: 468316332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 1. Let s(x) = -4*x**2 - 12*x + 9. Let j(g) = 5*l(g) - s(g). Let c be j(11). Put -0.1, c, 4 in decreasing order.\nAnswer: 4, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -77, 2\/13, -2\/3 in decreasing order.\nAnswer: 0.2, 2\/13, -2\/3, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/28 - 4*s**3\/7 - 18*s**2\/7 - 1407*s. Factor m(z).\nAnswer: -3*(z + 2)*(z + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c*c\/(c\/c**(-2))))\/(c\/(c**(-5)\/c)))\/(c**(-5)*c**(-1\/7)))\/((c**0)**25)**33 assuming c is positive.\nAnswer: c**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271 * -3.\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in -4, 2\/11, 4\/5, -5\/6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-32 - -28)*13\/(-2) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269429\/14 + -19253. Let m(j) = -274*j**3 + 4. Let h be m(4). Let k = h + 210269\/12. Calculate the common denominator of k and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7408401 and 228602088.\nAnswer: 1600214616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, r: 10}. Give prob of picking 2 r.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 14*j**3 + 17*j**3.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 116 + 4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 85, 158, 269, 430?\n\"Answer: 2*c**3 + c**2 + 30*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:50 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-15)\/8)*(-126)\/(-42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 + 6*f + 1. Let l = -8 - -14. Give r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*((sqrt(308) + 1*1*sqrt(308))\/(sqrt(168)\/sqrt(6))*-6 + 5))*-4.\nAnswer: -48*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 9*n - 11. Let q be ((-14)\/3)\/((-2)\/3). Let v(f) = 3 + f + 2*f**2 + 3*f - 8 + 0*f. What is q*v(y) - 3*m(y)?\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 724 + 2581. Suppose -596 - o = -3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v. Let o(h) be the third derivative of h**4\/24 + 2*h**3\/3 + 3*h**2. Is o(v) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 969930119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 9*g**4\/8 + g**3\/2 + 4*g**2. Is h(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/137, -16, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 - 116871?\nAnswer: -117285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 210*n + 571. What is the tens digit of q(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/6*19\/((-1805)\/38). Let c be (-6)\/15 + 4\/10. Let j be 0\/(1\/1 + c). Sort -3, u, 1, j.\nAnswer: -3, j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1860480 and 652800?\nAnswer: 37209600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) -3 (c) 16 (d) -2 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 8 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 19*a)*(121 - 121 - 2*a)*(a**3 - a + a)*(4 - 5 + 3).\nAnswer: 76*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/8 - 5*r**3\/6 - 475*r**2. Give t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 31. Let d(z) = z**2 + 3*z - 6. Let f(v) = v - 2. Let h(x) = -3*x + 12. Let c be h(6). Let l(p) = c*f(p) + 2*d(p). Calculate l(j(u)).\nAnswer: 2*u**2 + 124*u + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccncsnncs. Give prob of sequence ns.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2793.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**4 - 12915*h**3 + 15*h**2 + 38735*h - 25830 = 0.\nAnswer: -2583, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {e: 1, c: 4, b: 3, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009027074 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4)\/(678\/3390*5\/(-2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/4 - 2*n**3\/3 + 2*n**2 - 17. Let h(s) be the second derivative of d(s). Calculate h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1162 by -1.\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 3\/7, -135735, 1\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18)\/r*r*r\/r**(-3\/5)*r**4\/((r*(r*r*r*r**(-3\/17)*r)\/r)\/r))**(-28) assuming r is positive.\nAnswer: r**(36232\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*1\/12 + -2 and 51\/(-1)*161\/(-1242).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9912 is divided by 320?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(4*r**2 + 2*r**2 - 5*r**2) - 3*r**2 - 2*r**2 + 6*r**2 - r + 0*r + 2*r**2 - 3*r as b*r**2 + n + l*r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137439336 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.7 + -6.6. Let p = x - 9. Which is smaller: p or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 0, 2.\nAnswer: 0, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by 7\nAnswer: 47\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000252913 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 108*m**2 - 229*m + 228. What is t(1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5 - 10) + (-10 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -121?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 28, 101, 226, 415, 680, 1033, 1486?\nAnswer: 2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198723\/1100 - -112\/275. Let x = -179 - c. Let s(g) = -g**3 - 7*g**2 - 7*g - 5. Let k be s(-6). Sort x, 5, k in increasing order.\nAnswer: k, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1593506*u**2 + 1218688*u?\nAnswer: 3187012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29 - 1.71. Which is the closest to s? (a) 0.2 (b) -2\/7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.124 - -4.124. Let t = 7.2 - -35.8. Let x = t - 43. Which is the nearest to 0? (a) u (b) -1\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, 8, 32, 66, 110, 164?\n\"Answer: 5*d**2 - d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.92762 + 48.22298. Let d = j + 0.0494. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 29 = 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4 - 2*h**3 - 10917*h - 72004.\nAnswer: -8*h**3 - 6*h**2 - 10917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose 2322 = -4*u - 5*w, r*u - 4*w + 1168 = -3*w. Let y = 1103 + u. What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*s - 20 = 0, 4*u - 5*u = 4*s + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p - 5 = 0. Let c(h) be the second derivative of 3*h**2 - 5*h + 0 + 1\/2*h**3. Determine c(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q + 28740 = 55*q + 759*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (98 + 1 - 2)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w**4 - 993*w**3 - 5139*w**2 + 1857*w + 4260 = 0. What is w?\nAnswer: -5, -4\/5, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puxuu. What is prob of picking 1 x and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074242 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 20, 34, 54?\n\"Answer: 3*l**2 - l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 2*d - 268. Suppose -99 = -6*t + d. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {u: 5, v: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -2*x + 0 + 1\/30*x**6 - 1\/6*x**4 + 0*x**3 + 0*x**5 + 1\/2*x**2. What is y in m(y) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6211\/19 + -327. Let s = 0.9 + -3.9. What is the third smallest value in 0.3, -0.01, u, s?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13758.3 + -13759. What is the closest to 1 in -0.1, 0.2, -3, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 419*m - 2959. What is k(7)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i**2. Let n = 28 + -26. Let f(o) = -3*o**2 + o**n + 0*o**2. Determine f(y(v)).\nAnswer: -968*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -19 + 0*w + 7*w + 41 + w - 4*w. Let l be n(-5). Solve -16 = 6*k - l*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 950 + -942. Let t(i) = 22 - i**2 + 6*i - 4 + 0*i. Let v be t(n). Calculate the greatest common factor of 12 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y, -o - 2 = y - 16. Solve -11*n + 3 = -o*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 163455*u**2 + 3103630*u - 6861120.\nAnswer: 5*(u - 2)*(u + 21)*(u + 32672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -4*c, 4*c = 2*v - 6*v + 4. Let m be (c - 14)*1\/(-2). Suppose -m*f + 3*f - 3*o + 11 = 0, -5*f + 15 = 5*o. Is f at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1539) + -5 + sqrt(1539) + -2 + 5)**2 + -3.\nAnswer: -72*sqrt(19) + 6157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1251889 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**5 - 52*q**4 + 140*q**3 + 752*q**2 + 866*q + 308 = 0.\nAnswer: -1, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -12331?\nAnswer: -12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1988 and 5822.\nAnswer: 81508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1831637?\nAnswer: 47, 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7460 - 7506 - 7545 + 22509 - 21*a.\nAnswer: -21*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = 5. Let o = 43 - 41. Suppose -5*i + o = -8. Solve 0 = 2*s - 2*k - 4, -n*s = i*s + 4*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**4 + 2*t + 2*t**4 + 7*t**4 + 10*t**3 - 9 - 11*t**3 + 3*t**2 to a + i*t**4 + j*t + m*t**3 + v*t**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -27. Find f, given that 10*f**3 - 10*f**d + 4*f**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 4*m + 2 - 3*m)*(-366*m - 527*m + 348*m)*(-3 + 0 + 6) in the form q + o*m**2 + c*m and give c.\nAnswer: -3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 29 = -3*m, 7*m + 5*n - 45 = 2*m. Let i = 2 + 76. Let s = i - 54. Calculate the greatest common divisor of m and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(55\/(-825)*15\/155)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 97590627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 + 7*l**2 - 4. Suppose 4*y - 53 = -5*d, y + 5*d - 65 = -33. Let s(t) = 3*t**3 + 6*t**2 - 4. What is y*s(o) - 6*b(o)?\nAnswer: 3*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/60 - f**4\/8 + 2*f**3\/3 - 11*f**2 - 4. Let w(b) = b**3 + 2*b - 2. Determine -4*g(v) - 7*w(v).\nAnswer: v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4 + 1)\/(3\/(-16)). What is the tens digit of (302\/(-8))\/(1\/u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 8. Let h be u(4). Let o(a) = h*a - 4*a + a + 3 - 2. List the prime factors of o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5492 and 1.\nAnswer: 5492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*o**3*p*z**2 + 4*g*o**3*p - 4*g*o**2*p*z**3 + g*o**2*p + 5*g*o**2*z**3 + g*o*p*z - 2*g*o + 2*o**3*z**3 wrt o.\nAnswer: 12*g*p*z**2 + 24*g*p + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/3*q**3 + q**2 + 1\/60*q**5 + 0*q + 1\/24*q**4 + 0. Let w be v(-2). What is the second biggest value in w, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(0 + p + 0)*(-4 - 18 + 13).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43144671.\nAnswer: 3, 1259, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(171)*-2 + (4*1*sqrt(19))**2 + -4 + 1 + ((sqrt(133)*-1)\/sqrt(7) - (sqrt(228)\/sqrt(4))\/sqrt(3)) + 1.\nAnswer: 28*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3 + (-4 + 4 - 1)*(-1 - 1 + 3))*(-2*l - 6*l**3 + 4*l - l).\nAnswer: 30*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*i**5 - 14*i + 4*i**5 + 18*i**5 + 3 + 30*i**3 wrt i?\nAnswer: 40*i**3 + 180*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*c = 17, c = 2*r + 3*c - 4. Let x = 5 + r. Solve -u + 9 = -2*k, x*u - 5*k = 4*u + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnnnffyfvfyvvnynf. What is prob of picking 3 y and 1 f?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 17. Suppose 20*q - 28 = 24*q. What is w(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 8*o + 16. Let y be q(-6). Suppose y*x - 420 = 192. Let k be (x\/85)\/(6\/20). Sort -2, -7, k in increasing order.\nAnswer: -7, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.7 + 9.7. What is the closest to f in 0.3, 0.2, 5, -9\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198943047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734544159 to the power of 1\/2, to the nearest integer?\nAnswer: 41648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbbbhhhhbh. What is prob of sequence hb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 48. What is the lowest common multiple of m and 8\/44 + (-42)\/(-11)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16991 is divided by 1133.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.389 rounded to 0 dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041 + 4*s**2 + 1041 - 3*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000632 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(54\/(-10)))\/(1477\/305739)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + (-13)\/2. Let r be (s\/(-7))\/(4\/28). Solve 4*d + 5 - 19 = 3*l, r = -d - 4*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 20. Suppose 0*d + 1 = r + a*d, 2*r + 2*d + 6 = 0. Let u(v) = -v - 2. Let x be u(-5). Put -2, r, x in increasing order.\nAnswer: r, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45878 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.181 times 124.5\nAnswer: -22.5345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28799, -28801, -28803, -28805, -28807?\nAnswer: -28809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 96208471*x - 96208471*x - 2*x**2 + 2*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6907\/5 <= 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003016 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, 4*q = -5*j + 49 - 41. Let o(w) be the first derivative of 4*w - 10 - 23\/5*w**5 + 35\/4*w**4 + 5\/6*w**6 - 17\/3*w**3 - q*w**2. Factor o(h).\nAnswer: (h - 2)*(h - 1)**3*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 10*c + 16. Let u be t(-8). Solve u*a + 2*a + 10 = -3*y, 3*a + 3*y = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/6*(-36)\/(-54). Which is the nearest to -1? (a) -1\/4 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 718*c**6 - 4015723 + 394*c**2 + 4015723 - c + 1619*c**6 wrt c.\nAnswer: 280440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1579\/307905)\/((-1)\/(-75)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 10*a + 84 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002122200 (base 3) in base 6?\nAnswer: 515113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-123)\/4)\/((-2)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 - -3.67. Let i = -2.22 - -2.22. Which is the closest to 1? (a) i (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5663364.29 to the nearest one thousand.\nAnswer: -5663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o, 4*o = 5*l - 2239 + 5423. Let i = l - -1017. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, d: 2, y: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2 - 3\/1. Solve -4*k + 5 - 21 = f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*(-35)\/161*(-8)\/4\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 29. Calculate the remainder when 53 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmemseeeaaassememeea. Give prob of picking 1 a and 3 e.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 13289965 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*l + l**3 + 132*l - 2*l**2 - 2*l**4 + 2*l**2 + 1535*l to the form v*l**4 + c*l + x*l**3 + n + r*l**2 and give c.\nAnswer: 1759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/10)\/j*j*j**(1\/22))\/((j**(-1\/24)*j)\/(j\/((j\/(j*j*(j**3*j)\/j*j*j*j)*j)\/j))) assuming j is positive.\nAnswer: j**(9751\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q. Let v(p) be the third derivative of p**4\/4 - 96*p**2. Give f(v(u)).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.96389, -6, 0.1 in decreasing order.\nAnswer: 0.1, -0.96389, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -7. Let x = o + -24. Is 681 + (-1)\/(2\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -115. Suppose -b*k = 4*k - 5*k. Factor k - 1\/8*i**5 - 1\/8*i - 3\/4*i**3 - 1\/2*i**2 - 1\/2*i**4.\nAnswer: -i*(i + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (641 + 2*g**2 + 1506488*g + 2425 - 1506486*g)*(-2*g**2 - g + g).\nAnswer: -4*g**4 - 4*g**3 - 6132*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0 + 0*a - 6*a**2 + 0*a**6 - 1\/60*a**5 + 0*a**4 - 22\/105*a**7 - 11\/2*a**3. What is the first derivative of i(v) wrt v?\nAnswer: -176*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r - 5. Let l be d(3). Let p = l + 75. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6300 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16bb4 + -1a7?\nAnswer: -1719b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(320)*6) + ((sqrt(120) + sqrt(120)*-1)\/sqrt(12))\/((sqrt(2) - (sqrt(200) + sqrt(200)*-1)) + sqrt(2)).\nAnswer: -288*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 82*f**2 - 3*f + 3. Let w be t(2). Suppose l = 2*y - w, -2*l - 2*l = 3*y - 471. Calculate the highest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35148, 140579, 316298, 562305?\nAnswer: 878600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovooovoooo. What is prob of picking 1 v and 3 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 3. Let n be q(-2). Let i be n + (-1 - 0)\/1. Suppose 2*y = -4*o - 22, y - 6*o = -3*o + i. Let s(l) = 6*l**3 + 2*l + 1. Calculate s(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 16*c**2 + 5 - 4 + 0*c**3 + c in the form q*c + l + h*c**3 + m*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 12. Let s be x(-6). Suppose 0 = s*c - 16*c. What is the nearest to -3 in 0.2, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**3 + 5*w**2 + 5*w. Let p(c) = 151 + 36*c**2 + 36*c - 151 - 42*c**3. What is 5*p(q) - 36*s(q)?\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 111760, 111759, 111758, 111757, 111756?\n\"Answer: -q + 111761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212031003 (base 4) in base 10?\nAnswer: 2253635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 960. Let u = -1288 + 1336. What is the greatest common factor of u and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 3*s**8\/112 + 3*s**4\/4 + 16*s**2. What is the second derivative of m(l) wrt l?\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2 + 39*f - 327. Determine y(6).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 30. Suppose 3*d - 40 = 131. Suppose -4*t = -3 - d. Is o <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -55.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -100*o**3 + 13*o**2 + 3*o**2 + 20 + 17*o + 52*o**3 + 49*o**3. Is a(-13) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:02 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 241739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 131121121320 (base 4) to base 13\nAnswer: 179a801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (280\/2)\/(3\/3). Let s be -2*4*(m\/(-8))\/7. Solve -b = -6*b + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 64*m**2 - 291*m + 264. What is the thousands digit of x(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*x, -6*w + w + 3*x - 2 = 0. Let b(k) = 6*k + 1. Give b(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 1416\/156)*39\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 11*w - 5*w - 50, 5*w - w - 21 + 1 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 4, -4, 7 in descending order.\nAnswer: 7, 4, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 124745464.1 rounded to the nearest 1000000?\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286600112?\nAnswer: 2, 1879, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511130 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 + 6*w**2 - 5*w**2)*(-3*w**3 + 3*w**2 + 219*w - 219*w).\nAnswer: -21*w**5 + 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5 - 5)*(-11*j**4 + 8*j**4 - 3*j**4 + 0*j**4 + 3*j**4 - 5*j**4 + (-2 + 1 + 2)*(2*j**4 + 0*j**4 - 4*j**4) + 0*j**3 + 0*j**3 - 2*j**4).\nAnswer: 72*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72130.02 tonnes in micrograms?\nAnswer: 72130020000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.3\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 16*v + 70. Suppose -4*u - 28 = 4*x, -v*u + 11 - 31 = 5*x. What is the nearest to -0.2 in 0, -17, x, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 4*m - 790 = 0, -5*q = -2*m - 1983. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0985815s in nanoseconds?\nAnswer: 98581500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8149\/2 - 4070. Calculate the common denominator of -69\/4696 and v.\nAnswer: 4696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361569 is divided by 120518.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + 19\/(-3))*330\/(-410). Which is the fourth smallest value? (a) -2 (b) -1\/7 (c) v (d) -0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 10\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3863, 3849, 3835, 3821?\n\"Answer: -14*r + 3877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351384 - 2445910\/7. Find a, given that g*a**2 + 8\/7 - 664\/7*a = 0.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3551, 0.114 in descending order.\nAnswer: 0.114, 0, -3551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:41 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y**4\/3 - 55840*y**3\/3 - 27908*y**2\/3 - 3488*y\/3 = 0 for y.\nAnswer: -872, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z. Let c(y) = -y + 8. Let m be c(4). Suppose -4*u - l - m = 0, 4*l - 5*l = 2*u. Determine j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 - 112*b - 18. Let z be g(-11). Suppose 3*f = -0*f + 4*f. Solve n - z*n = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let i = 1797 + -19802\/11. Let g = -199\/66 - i. Sort g, 5, -1, w.\nAnswer: -1, w, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311 - 3*y**4 - 4 - 48*y**3 - 15*y**4 + 383 - 2 wrt y?\nAnswer: -72*y**3 - 144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/27)\/b**(-1\/4)*(b**(3\/2))**(-2\/79) assuming b is positive.\nAnswer: b**(1177\/8532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1881 and 1287?\nAnswer: 24453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 8*s + 5*r - 40, 0 = 3*s + r - 18. Suppose 2*x + 0*b + b - 8 = 0, s*x + 4*b - 17 = 0. Solve m = -x*q + q + 7, -m = -q + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 - 5*o**2 + 3*o**3 + (7*o**2 - o**2 + 7*o**2)*(7*o - 2 + 12*o - 7*o).\nAnswer: 159*o**3 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 0*r + 0*r + 2 - 2 - 2*r + (-4*r - 2*r + 5*r)*(-3 + 2 + 2) - 2*r + 7*r + 7*r + 4*r + 0*r + 2*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.35 - -0.3. Let p = -4.95 + b. Let q be -2 - (11\/(-9) + -1). What is the closest to -1\/3 in p, -2\/7, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.040926 - -198.\nAnswer: 198.040926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 1174 = -90*w, 3*w - 85 = -3*g - 112 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + 20103202?\nAnswer: 20103020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 21) + 9 + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 4705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = 6*v + 29. What is the units digit of 24\/(-9)*v\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 152294*o - 1106. Is m(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*c - 3*v, -5*c + 5*v + 19 = -71. Calculate the remainder when 112 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 6\/5, -0.5, -0.8?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-3) - 0\/4. Suppose 0 = 2*g - g + 2*d + 2, 4*g - 3*d = 25. What is the third derivative of -4*a**2 + a**g + 6*a**b + 31 - 31 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - ((-18 - (-37 - -6)) + 14 - 4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549987948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 12. Give d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2 - 5*n**2 + 13*n - 7 - 19*n - n**3 + 0*n**3 + 0. Calculate f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 3. What is i(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/177 - -341\/2301. Let g = 661\/4 - 165. Which is the nearest to -0.1? (a) g (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3366\/1326 - (49\/294)\/(2\/30).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*n + 11495, 5*n = 5*s - 4080 + 15580. Calculate the greatest common factor of 90 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 2, l: 7, f: 1, r: 6}. Give prob of picking 2 l and 1 r.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(1\/3*-4*39\/12636*27)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-80)*5\/2. Suppose -5*r - h = -180, -5*h + 108 = r + i*r. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 9*n + 3*n + 4*n to the form h*n + z and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 9*n**4 + 7*n**3 - 5*n**3)*(0*n + 5*n + 4*n)*(-90 + 6 + 33).\nAnswer: -4131*n**5 + 918*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**3 - 25*q**2 + 4*q - 6. Let b be j(3). Let m = 0.3 + -0.3. Let f = -0.1 - m. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14700 + 102903\/7. Suppose 5*w - w - 2 = 2*o, -4*o = 4*w + 40. Let b(v) = v**2 + 7*v + 5. Let f be b(-5). What is the third biggest value in f, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 19, -4, -784?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - t - 6*t - 35*t + 42*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 + 81 = -31*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/30 - r**3\/6 + 2*r**2. Suppose -1 = 4*n - 5. Give z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + e69?\nAnswer: e6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 255*n + 262. Give l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = -0*s. Let i(j) = 5*j - 826 + 822 + 1757*j**2 + j**3 - 1761*j**2. What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25383120 divided by 3172890.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 474 or 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -201211140 (base 6) in base 13?\nAnswer: -92b068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 652363956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 54*u**2. Suppose -4 = 6*i + 2. Is 15 a factor of f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/48*((-18)\/(-9))\/((-12)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*722\nAnswer: 288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853664 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m + 2. Let q(n) = 11*n - 2. Let o(y) = -5*q(y) - 6*r(y). Let g be (4\/(-3) - -1)*-30. Suppose 2*l + g = 4*b, 2 = -3*b + l + 9. Give o(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21262910 and 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:48 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 4) + -31 - 16 - (-3 - 2 - -9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 451, 1, 7 in ascending order.\nAnswer: -1, 1, 5, 7, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or -33509?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 32. Let d = -10 + z. Suppose 4*m - 113 = -d. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2329, -4746, -7163, -9580, -11997, -14414?\n\"Answer: -2417*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 63*a = 67*a - p + 94, p = -5*a + 238 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69082, 138179, 207276?\n\"Answer: 69097*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 622539?\nAnswer: 622542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 5, j: 6, e: 1, d: 1, t: 2}. What is prob of sequence jed?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2132 (base 4) to base 10\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1201, -1200, -1199?\n\"Answer: r - 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (189\/(-3))\/9*(-12)\/(-14). Let p(r) = -r**3 - 6*r**2 - r - 2. Let z be p(w). Let o(d) = -2*d + 5. Determine o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98814379.\nAnswer: 98814379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 121, 239, 357, 475, 593?\n\"Answer: 118*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + 4*d + 4. Let r be p(6). What is the highest common factor of r and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/12 + 25)\/(9*1)*4\/(-6)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19570 by 665.\nAnswer: -206\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-8)\/(256\/88)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 10. Let n be (-3 - -1 - m)*-1. Let a(v) = v**3 - 4*v**2 - 3*v - 4. Let g be a(n). Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292014 + 292014.0121093. What is x rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k + 24*k = 49. Which is the fourth smallest value? (a) -85 (b) 3 (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 24. Let f be t(-10). Let h(u) = 7*u + 13. Let i(s) = 4*s + 7. What is f*h(k) - 11*i(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 5. What is the remainder when 87 is divided by s(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3926 - -19?\nAnswer: 3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y. Let p(m) = -16010307*m**2. What is p(v(l))?\nAnswer: -144092763*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*m + 5 + 10, 3*t - 11 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3410 - -701522?\nAnswer: 676112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 277*h - 164 - 390. Suppose -6\/7*v + 3\/7*v**h - 9\/7 = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.44 - 4.1. Let i = o + 0.06. Let w = -1\/9 + -2\/9. What is the smallest value in w, i, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107769 (base 12) in base 10?\nAnswer: -262017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.3022125 to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 26\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/66*(4\/2)\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/3, -10\/9, -0.3, 2\/11, -1425, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 + 19*p**3 + 8 - 19*p**3 + 48595*p - 48597*p + 2*p**4 to n*p + a*p**4 + x*p**2 + k*p**3 + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*f = 25, -4*s + 272882 = 4*f + 272862 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1440 and -71\/96.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544101.\nAnswer: 13, 41, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let o = 2 - 0. Suppose -o*v + 59 = -q, 5*q = 4*v + 48 - 175. What is the greatest common divisor of k and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Suppose u*g = 2*h, 3*g + 7 = 4*g + h. Let n = -1 - -3. Calculate the remainder when n is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -4\/5, 4, -6220\/13, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*y + 6 = 0, -3*y - 5 = -5*u + 4. Let z be (-405)\/(-4) + (-9)\/(-6). Let q = z - 102. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12.4 (b) 2\/7 (c) -2\/3 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.71 - -0.71. Let f be (-2)\/(-7) - (-1)\/(-7). What is the closest to -0.1 in t, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8360031*j**3*r - 2968802*j**2*r wrt j?\nAnswer: 50160186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**3 - g. Let v(o) = 2*o + 11. Let c be v(-5). Let a be x(c). Factor 4*p + 4*p - 6*p**2 + 7*p - 14*p**2 + a*p**3.\nAnswer: 5*p*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70802153 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6323, -12619, -18915, -25211, -31507, -37803?\nAnswer: -44099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*d - 10, -2*u - 1 = 2*d + 9. Put u, 1, -2, 2 in increasing order.\nAnswer: -2, u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003739 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/11 + 4*p**4\/11 - 4278*p**3\/11 - 45280*p**2\/11 - 41000*p\/11 = 0.\nAnswer: -41, -10, -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = 2*d - 80, j = 4*d - 89. Suppose 4*w - 4*g - 15 - d = 0, -4 = -2*w - 5*g. What is the lowest common multiple of w and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 528, 1051, 1580, 2115, 2656, 3203, 3756?\n\"Answer: 3*l**2 + 514*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.37. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286.916 - -274.5309. Let q = -0.1249 + k. Let p = q - -12.51811. Round p to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 758645185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7285 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*c - 443 = -3*c, 4*q - 5*c - 367 = 0. Solve -82*f = -q*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16 + -5)*(-980)\/42?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**3 + 1\/4*h**4 + 0 + 0*h + 1\/4*h**2.\nAnswer: h**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 21311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**2*j)**(-3\/38)\/(j*j\/(j*j**6\/j)*j*j**(2\/3)) assuming j is positive.\nAnswer: j**(221\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9657973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 26*w**2 - 113*w + 5. Let v(p) = p**2 + 27*p - 1. What is -f(m) - 5*v(m)?\nAnswer: -31*m**2 - 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1158\/144 + 8 + -16?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/5, -4\/73, 44?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311806 - 114*w**3 + 311811 + 2*w**2 + 2*w - 2*w to the form b + h*w + j*w**3 + c*w**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 2886*c + 20240. What is j(7)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8158513 + -0.042?\nAnswer: -8158513.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/90)\/((-2)\/(20\/(-3)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/3 + 29656*a**2\/3 + 3105856*a\/3 = 0?\nAnswer: -104, 0, 14932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 2. Let j = -6.47 - -1.47. Let f = -7 + 5. Put f, m, j in ascending order.\nAnswer: j, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393216031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(5\/((-10)\/(-8))). Suppose w = -4*t - 70 + 594. Suppose 5*q = 2*g + 97 + 130, 3*q = -4*g + t. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1601294755.9 rounded to the nearest ten thousand?\nAnswer: -1601290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + 21.9. Let y = q - 24.952. What is y rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9168 is divided by 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489 + -20537\/42. Let t(k) be the second derivative of 0*k**3 + 0 - 2*k + 0*k**2 + h*k**4 + 1\/70*k**5. What is p in t(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15449918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - 4\/(-10). Let g be (12\/18)\/(4\/12). Let l be (11\/g + -3)\/((-26)\/4). Are b and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 667091, 1334143, 2001191, 2668235, 3335275, 4002311?\nAnswer: 4669343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + 3.93. Suppose 3*o - 2 = 1. Let x(n) = 3*n**2 - 2*n + 1. Let r be x(o). Which is the biggest value? (a) r (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264997287 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 2. Let c be a(-2). Let k = c + 12. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5198540 and 10397080.\nAnswer: 10397080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from lxzzzlzlzzxzxx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahjf when four letters picked without replacement from {z: 2, j: 1, h: 1, f: 1, l: 1, a: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 10. Let h = -20\/3 - -103\/15. What is the closest to 1\/4 in -1, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -416559.999975 - -416554. Let f = 7 - 1. Let c = f + d. What is c rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5560 + 43?\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391*o - 355*o + 7908 - 41964 = 0. What is the greatest common divisor of o and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-27)\/(-24))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + -10 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + 0 + sqrt(68) - -6*sqrt(425)*3).\nAnswer: -92*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -105, -158, -211, -264, -317?\n\"Answer: -53*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = v, -2*n + 3*v - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 + -1156?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) -5 (b) -1\/5 (c) 5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197628282.\nAnswer: 2, 3, 23, 41, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -241752 divided by -5\nAnswer: 241752\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 22*l + 30. Determine g(-14).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.18 + -0.08. Let n = 3.7 - f. Put n, 3, -2 in descending order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:33 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521091383?\nAnswer: 521091383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + 4.7. Let y = g - 5.6. Which is the second biggest value? (a) 0.3 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, u: 7, e: 3}. What is prob of sequence quue?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - (-151 - -107)) + 0 + 2 + 69 - 6?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*w - 15*w + 4*x + 2525, 5*x = 3*w + 2480. Let l = w - -835. Put -2, 7, 3, l in descending order.\nAnswer: 7, 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 3. Let j(u) be the first derivative of 15*u**2 + 5*u - 81. What is the tens digit of j(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 10*c - 64. Let j(a) be the third derivative of 0*a**3 - 1\/480*a**6 + 0 + 0*a + 2*a**2 + 1\/80*a**c - 1\/48*a**4. Suppose j(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -489*t + 65. Let o be v(-2). Calculate the greatest common divisor of 77 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91393 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (241*d**2 + 4*d - 327*d**2 + 1077*d**2)*(3 + 1 - 6)*(-3*d + d - 2*d) in the form v*d + k + g*d**2 + t*d**3 and give t.\nAnswer: 7928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:53 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 172?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 38 = 2*y, -2*a + 0*a + 20 = 4*y. Suppose 0 = 4*i - a. Let j(x) = x + 1. Let u be j(3). Solve u*v + 4 = 4*z - 12, -v + i = 2*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 36*d - 14. Suppose -15 = -y - 3*y + 3*p, -4*p + 6 = -y. Is 32 a factor of q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:18 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 3*h**2 - 5*h**2 + (-4*h + 0*h + 3*h + (-3 + 1 + 1)*(-h + 0 + 0) - 7*h + 2*h + 3*h + 0*h + 8*h + 2*h)*(2*h + 0*h - 3*h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 814481354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -380\/9 and -0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -880240.011741 from -2.\nAnswer: 880238.011741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -410*l - 34026. Determine r(-83).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200167.\nAnswer: 11, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 303649113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 - -72. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (9 + (-3 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16) + 0 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257909054 + -257908444.998948. Let u = i + -609. What is u rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 4, p: 1, q: 4, y: 1}. Give prob of sequence byqq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + p**2 + 1. Let a(g) = -15*g**3 - g**2 - 6*g - 6. Let f(l) = l**3 + l + 1. Let t(r) = -a(r) - 5*f(r). Let m(b) = 2*k(b) - t(b). Calculate m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = 4. Let m be (4\/(-6))\/(16\/(-2904)). What is the highest common factor of m and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1)**(1\/49)*l**(2\/7)\/l*l*l**(6\/5))\/((l*l**1*l*l)**(-15)*(l*l*l\/(l**(-2\/3)*l*l))**19) assuming l is positive.\nAnswer: l**(21947\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333586 and 729476.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**2 - 1. Let o(c) = -3*c. What is o(r(a))?\nAnswer: -24*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**2. Let h(f) = -f**3 + 11*f**2 + 13*f - 10. Let l be h(12). Let q(d) = 3 + 2 - l*d**2 - 5. What is j(q(r))?\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 - 1) - (-7 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(((-3 + (sqrt(500)*-3 - sqrt(500)) + sqrt(500))**2 - -6*(1 + sqrt(500))) + 0).\nAnswer: -27090 - 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 21*z**2 - 19*z - 11. Let f be u(19). Let c = f + -84. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379327 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.068, 238, -1?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -32*z + 12*z - 43 + 14*z. Give p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:18 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 26*m**2 - 18*m - 13. Suppose 12*r - 11 = 13*r. Let s(u) = 14*u**2 - 10*u - 7. Let j(g) = r*s(g) + 6*a(g). Calculate j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/4)*z*z*z)\/z)\/z**(-6))**25*((z*((z\/((z*z\/(z\/z**(1\/2))*z)\/z*z*z)*z)\/z)\/z)\/((z**(-1)*z)\/z))\/(z*z\/(z**1*z))**(1\/40) assuming z is positive.\nAnswer: z**(869\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (45 + (-43 - -37)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -133. Which is the second smallest value? (a) 2\/3 (b) h (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 55. Suppose 4*d = -3*i + 3*d + 4, z = 5*i + 3*d. Is -2\/21 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 579181 and 12323?\nAnswer: 579181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -1. Put 4, o, -2 in descending order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -115. Suppose v*t + 9*t - 165 = 0. Let n = 41 - t. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + c + 31 = 0, -177*f + 648 = 3*c - 582 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 2380*d**2 + 348000*d + 1800000.\nAnswer: 4*(d - 300)**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 3. Let k be y(5). Suppose -2*h + 5 = t - k, -3*h = -4*t - 40. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 - -233?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/180 - 5*k**4\/72 + k**3\/3 + 6*k**2 - 2*k. Let r(z) be the first derivative of j(z). Factor r(q).\nAnswer: -(q - 1)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 4. Let u = 77 - 79. Let j be s(u). Suppose 6*d = k + 3*d - 12, -j*k - 3*d = -63. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1914 + -1912. Put x, -5, 4, -7 in descending order.\nAnswer: 4, x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000497745 to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z**5\/7 - 354*z**4 - 2628*z**3\/7 + 3186*z**2 + 22437*z\/7 = 0 for z.\nAnswer: -3, -1, 0, 3, 831\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -55 - 415\/166*152\/5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7924*j**3 - 22*j**2 - 3*j + 3559948 with respect to j.\nAnswer: -23772*j**2 - 44*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93445, -373682, -840715, -1494550, -2335193, -3362650, -4576927?\n\"Answer: -i**3 - 93392*i**2 - 54*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*x + 12 = 0, 22 = 26*o + 20*o - 50*o + 3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714074, -1428204, -2142334, -2856464?\nAnswer: -3570594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 713.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 542729047 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604640 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 775873466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 6, 22, -0.1, -0.2, 68, 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*r - 273*r = 574*r - 303*r - 78738 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - 0.29. Let m = 291\/448 - 5\/64. Let v(z) = -z**3 + 5*z**2 - 5*z + 2. Let o be v(4). Which is the closest to -0.1? (a) m (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -976 divided by 16311\nAnswer: -976\/16311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -2\/9 (c) 7.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9220653 to three decimal places.\nAnswer: 4.922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72963, -142007, -211051?\nAnswer: -280095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01848046 take away -86.94?\nAnswer: 86.95848046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -18. Let o = 351\/7 - r. Is o bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -2. Suppose 0 = j - r - 25. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 192 = -15*w. Let f = w + 27. Calculate the smallest common multiple of f and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.063, 1.04, -0.011 in decreasing order.\nAnswer: 1.04, 0.063, -0.011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**1)\/q)**(-1\/24))**(-18)*((q*q**5)\/(q\/(q*q\/q**(-1\/6))))\/(q**(-3)*q**5) assuming q is positive.\nAnswer: q**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:07 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124.056 + -0.056. Let q = 124.00597 - j. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(-2)\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 133*h - 217. Let b(t) = -t + 3. Let l(a) = -2*b(a) - m(a). Differentiate l(k) wrt k.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 3, -1\/3, 0.3, 3\/40, 1.1?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/15035 and 51\/139467667.\nAnswer: 697338335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - -3103240201?\nAnswer: 3103240322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.268 (b) -0.3 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let q(a) = 5*a**3 - 7*a**2 + 3. Let b(g) = -2*q(g) - 14*x(g). Differentiate b(o) wrt o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 4:58 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/30)*g)\/((g**(-23)*g)\/g) assuming g is positive.\nAnswer: g**(749\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 1, v: 1}. Give prob of sequence vzhz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let x = 2.4 + 0.6. Let w = x - 5. Put 3, g, w in ascending order.\nAnswer: w, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.07, 0.1, -2\/3, -0.4, 46, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5286527 is divided by 936?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/12)\/(5 - (-294)\/(-56))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10342596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 + (-585)\/27. Let o(f) = -110*f - 27. Is o(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 121*m - 1606. Let h be i(4). Which is smaller: -1121 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -39 = 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5239 - 3530 - 4119 = -179*b for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2128*w = 2129*w - 6. Let h be 2\/3 + 14\/6. What is the second derivative of 12*t**3 + h*t**3 + 5*t**3 - 5*t + w*t wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + -24. Let s = 46.00023 + g. What is s rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*y - 558 = 7*x, 2*y = 2*x + 222. Let l = x + 55. Let b be 1*l\/27 + 2. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 18*g**2 - g + 24. What are the prime factors of x(19)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19603 - 19600. Factor 2\/3*o**k - 26\/3*o**2 - 22\/3 + 46\/3*o.\nAnswer: 2*(o - 11)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -14*v**2\/17 + 15476*v\/17 - 390 = 0.\nAnswer: 3\/7, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*(18 - 100). Let v = d + -40. Let g = 32 - v. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:33 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 363 = 5*b, j + 0*j = -2. Solve -56*v = -b*v + 85 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3 + 6795*v**2 - 570324*v - 577116 = 0.\nAnswer: -2346, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 403*x + 204*x + 202*x.\nAnswer: 6*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -5897*k**7\/7 + 2*k**3\/3 + 56*k**2 - 3*k + 5368. What is the third derivative of y(n) wrt n?\nAnswer: -707640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486172.\nAnswer: 2, 19, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15))**4\/((k*k*k\/k**4*k)\/k**15) assuming k is positive.\nAnswer: k**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*q**2 - 294399*q**5 - 2*q + 2*q - 126*q**4 + 294402*q**5 - 193*q**3 - 68*q**3 = 0. What is q?\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, 64, 63, 54, 37?\n\"Answer: -4*i**2 + 19*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:18 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 4, -0.0454, -2\/13, -0.895?\nAnswer: -0.0454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -215014911.\nAnswer: 1\/71671637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007427 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 45*d**2 + 332*d - 24. Let m be g(37). What is the highest common divisor of m and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u + 77. Let a(f) = -4*f - 22. Let c be a(-7). List the prime factors of z(c).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 132 = -4*a - 24, -4*h + 111 = 5*a. What is the highest common divisor of h and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzjzzjzjzjpzzfzjm. What is prob of picking 2 p?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**3 + 2*m**3 + 3*m**2 + 2 - 2 + 2*m**3 + (-2*m**3 - m**3 + 4*m**3)*(-2 + 4 + 0) - m**3 + 2*m**3 + m**3.\nAnswer: 9*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11520001 is divided by 411419.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14296931?\nAnswer: 11, 1299721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:15 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101110110011 + -100000?\nAnswer: -11011101111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-2) + 2 + (-15)\/6. Suppose -48492416 = -5*v - w, -v - j*w + 9698472 = -0*w. Let b = v - 15048484. Round b to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178421069?\nAnswer: 17, 10495357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 5*g - 3. Let h be d(6). Suppose -2*m + 25 = h*m. Sort m, -8, 0 in ascending order.\nAnswer: -8, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 22*o + 61. Determine f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyowyopyoyvsyoopy. What is prob of sequence oo?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxnxxxnx. What is prob of picking 2 x and 1 n?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 12 - 12 as p*c + m and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-10) + 2\/5. Let g(z) = -5*z - 18. Let n(t) = 4*t + 15. Let u(m) = -5*g(m) - 6*n(m). What is u(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:53 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -711 less than -2839\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 2*b**2 - 16*b - 822. Let r be s(0). Is -822 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2095*d + 320615 = -2991*d + 81573 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g**5\/5 - 34*g**4 + 601*g**3\/5 + 1262*g**2 - 8708*g\/5 + 392 = 0.\nAnswer: -5, 2\/7, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 - (3 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52739 + -2?\nAnswer: 52737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 122. What is the greatest common divisor of s and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.398, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 281*a + 284 + 800 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -25*i**3\/3 - 105*i**2 - 80*i + 4. Factor f(n).\nAnswer: -5*(n + 8)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221311112 (base 4) in base 14?\nAnswer: -33590a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -10140422?\nAnswer: 10140424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134508 and 7854?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -w - 3. Suppose 0*i = -2*i + w. Suppose u - 15 = -i*u. Solve a = -2*b + 1, u*a + 6 + 12 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and ((-48)\/30)\/(4\/(-30)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/70 - 3*f**6\/40 - 17*f**5\/15 + 13*f**2. Find the third derivative of q(i) wrt i.\nAnswer: 72*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.289 - 1203.\nAnswer: -1205.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 70602 divided by -41\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 1. Let s(g) = -3*g**2 - 6*g + 6. Let v(n) = 3*n**2 + 7*n - 8. Let j(f) = 6*s(f) + 5*v(f). Determine j(u) - 4*k(u).\nAnswer: -3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 - 119. What are the prime factors of i?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 - -1.3. Let p = s - 4.8. Let t = -87 + 959\/11. Sort -5, p, t.\nAnswer: -5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 10\/(-2)*-1. Let f(n) = n**3 - 5*n**2 + 5*n + 7. Let t be f(5). Let l = t - c. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 3 - 5*u**3 + 2 + 2*u**2. Let h(q) = 230*q**2 + 12*q**3 + 1 - 227*q**2 - 3 - 14*q**3. Give 3*h(l) - 5*w(l).\nAnswer: -l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 447*c**2. Let y(d) be the second derivative of -10*d**3\/3 + 10638*d. Give y(a(m)).\nAnswer: -8940*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1252, -582, 88, 758, 1428?\nAnswer: 2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l**2 - 3 - 13*l + 28*l - 11*l. What is the tens digit of n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 122*k**4 + 332*k**3 - 1137. What is the third derivative of w(j) wrt j?\nAnswer: 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a632 (base 12) in base 4?\nAnswer: 32210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -46 (b) 3255 (c) -3137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 65*x = 0. Suppose 0*t + 3*t = -18. Let m be t\/(-14) - 0\/(-1). What is the third smallest value in x, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16930.944ns in hours?\nAnswer: 0.00000000470304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*a - 478, -5*d + 134*a - 810 = 139*a. Let c(t) = -23*t**2 - 6. Let k(z) = -621*z**2 - 161. Give d*c(f) + 6*k(f).\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - 135. Let m = -164.0000093 - w. What is m rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -200112120002220?\nAnswer: 200112120001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*(-9)\/(108\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12842 - -12578. Which is smaller: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/69744, 1\/6, 172, 0.5, -0.5.\nAnswer: -0.5, -1\/69744, 1\/6, 0.5, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 - 159\/(-6). Let f be (-6)\/(-4)*(3 - 1). Suppose f*l = 6*l - 15. What is the highest common divisor of l and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:31 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/6 - 1672*r**2 - 50135*r\/6 = 0. What is r?\nAnswer: -10027, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 0.3, 201.981?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c - 196*c + 50*c + 46*c + 45*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1056 and -23\/27?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**6*r**(-6\/5)*r*r**(-1)*r)**(-19) assuming r is positive.\nAnswer: r**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10*(-50)\/(-90). Let g = 4 + -4.1. What is the third biggest value in h, -4\/5, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 41 - (-4 + 1 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/14)\/((-2)\/(-4)). Calculate the highest common factor of 32 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7596 + 7756. Which is smaller: 153 or m?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) -27 (d) -625 (e) 5 (f) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1444\/48 - 30) + 18\/(-171) + 4337\/228.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385)*-2)\/sqrt(11))\/sqrt(7) + -5)*-2.\nAnswer: 4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/16 + 134\/16. Suppose 4*r = -12, -d + u + 5 = -3*r. Find the common denominator of (59\/d)\/((-3)\/(-2) - 2) and 61\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -473 less than or equal to -471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -0.01, 54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.9, -0.4, 16.3 in decreasing order.\nAnswer: 16.3, 4.9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -77, -85, -83, -77, -73, -77, -95?\n\"Answer: -o**3 + 14*o**2 - 59*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**4 - 8*h**4 + 5*h**4)*(-12 + 7 + 16) to the form a*h**3 + y*h**4 + d + q*h**2 + v*h and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3329\/2 + -1663. Put 0.2, v, 317 in descending order.\nAnswer: 317, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488427553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 22*u + 36 = 20*u, -5*u - 54 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -29 + 0 - -22 - (-4 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*p - 788 = 0, 31*w - 2*p + 408 = 33*w. What is the remainder when 207 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 + (-5)\/((-5)\/(-3)). Calculate the common denominator of (-537)\/(-45) + (-6)\/y and 46\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 2556.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3121 (base 10) to base 14\nAnswer: 11cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7)*2)\/((-9)\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 3*z + 1. Give v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w - 3*w - 154. Let b be ((-28)\/(-54))\/(w\/21). Is -2 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 8 + 0*j + 0*j**2 - 8\/3*j**3. Let o(z) = 3*z. Calculate o(f(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1229977181 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*n**5 - 108*n**2 + 36*n**2 - 32*n**2 wrt n?\nAnswer: -1680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k**2 - 3*k - 3. Let a(r) = 10*r**2 + 2*r + 2. Let i(y) = 3*a(y) + 2*x(y). Let n(f) = 119*f. Determine n(i(j)).\nAnswer: 238*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -5 (b) 4 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1183 and 25?\nAnswer: 29575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831938?\nAnswer: 2, 415969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36659?\nAnswer: 7, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.023243266 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 2*o**2 + 2*o. Let u be b(-3). Let l = 1.8 - 2. Is u < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (1 - 1 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 - 2303*w**2 - 9279*w - 111. Determine o(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2650 (base 9) to base 12\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 (base 9) in base 12?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14438919, 57755665, 129950241, 231022647, 360972883?\nAnswer: 519800949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 9206*y**2\/5 + 10662512*y\/5 + 31574616.\nAnswer: 2*(y + 15)*(y + 2294)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by (28\/(-20) - -1)*-135.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-1188)\/8))\/(309\/(-3399)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/16*(-1 - (-247)\/266)*4. Factor 1\/2*z**2 - 11\/4*z - 7\/4*z**4 + 5\/2*z**3 + i*z**5 + 5\/4.\nAnswer: (z - 5)*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. What is the units digit of (w\/2)\/(12\/192)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13*v + 45. Let q be l(-5). Let i = q - -25. Let j be (-2)\/(i - (-51)\/(-9)). Solve -2*s - 5*g = -19, 4 = -3*s - j*g + 2*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206 - -204. Let g(t) = 41*t**2 + 2*t + 4. What are the prime factors of g(w)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 12*b + 5*p = 630, p = 2. Suppose -140 = b*v - 162*v. What is the highest common factor of 320 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 3, o: 2, n: 5, h: 3}. Give prob of sequence cco.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-315)\/(-40)) + 0 + (-24)\/(-252).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*x**2 - 167*x**2 + 510*x**2 - 163*x**2.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.21354144 * -0.5\nAnswer: -0.10677072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*o - 21. Let q = 23 + 4. Calculate the remainder when q is divided by o\/((-10)\/(-28))*-5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8584000 to the nearest one hundred thousand.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2783*c**3 + 3368 wrt c?\nAnswer: 8349*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1586 and -109\/46540?\nAnswer: 2838940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.77 - -7. Let g = n + -6.23. Let d = -10 - g. What is the smallest value in 1, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 886.7 in -2, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Factor 3*o**2 - t*o + 0*o**3 + 3*o**3 + 41*o**4 - 44*o**4.\nAnswer: -3*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 0*t - 2 + 7 + 2*t. Let b be d(-5). Let a(f) be the second derivative of -f**4\/12 - 7*f**3\/6 - 3*f**2\/2 - f. Calculate a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9062 - 3*p - 9062.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 387, -1324, 4\/43 in decreasing order.\nAnswer: 387, 4\/43, -1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010398600207 rounded to 7 dps?\nAnswer: 0.0103986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 + 3*d**2 + 4*d + 3. Let k be t(-2). Let n = k + -26. Suppose 2*r - 5*r + 375 = 3*m, -n*m = -4*r + 518. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*g + 11*g. Solve 4*a + 4 = -w - 1, 5*w - 7 = -g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112 (base 5) in base 9?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxubppxe. What is prob of sequence dxpp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = -3. Suppose -k = -y*k + 5. Let f = -2 + 2. Is k at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38155 less than 38155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474590782.\nAnswer: 2, 269, 882139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79838 is divided by 230.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 85.4304 * 0.07\nAnswer: 5.980128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7 or 4?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14443451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1 + 135 - 0*(-3)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201593110?\nAnswer: 2, 5, 20159311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 26 = -2. Suppose m - l = 2*m. Which is smaller: m or -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 402131384 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*z + 88. Let p(w) = 6*w + 5. Let q be p(5). Suppose -q - 30 = -5*c. What is the highest common divisor of c and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108907717 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 472, 929, 1380, 1825, 2264?\n\"Answer: -3*o**2 + 466*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 466, 912, 1358?\n\"Answer: 446*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19.9 in 8, 0.4, -3\/5, 0.33?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125031 divided by 1761?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 458685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -38. Let l(q) = q**2. Calculate the remainder when h is divided by l(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754805650.\nAnswer: 2, 5, 13, 2699701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 61 = -223*o - 127 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from zzzzkzzzkzzkzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*i + 18, 4*p = 5*i + 15 + 8. Let l be (-4 - (i - 0))*-6. Let v be (-5)\/l - 5\/(-15). Which is the smallest value? (a) -0.2 (b) v (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78697 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871801255 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1876964 + 1961427172\/1045. Let u = c + 12\/95. Let a = -13\/110 - u. Calculate the common denominator of -15\/4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4918 - -39431\/8. What is the common denominator of a and (-92)\/(-736) - 71\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -44*s + 738. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*o**2*r + 2*o**2*z**3 - 149*o**2*z + 2*o*r*z**3 + 18*o*z**3 - o + 9*r*z**2 + 37*r - z**3 wrt o.\nAnswer: 192*r + 4*z**3 - 298*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*y - 25 = -0, -17 = -i + 3*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 16 = -19*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/5 + (-1183)\/245 + 5. Which is the closest to -1? (a) -5\/2 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 31. Let v be z(-7). What is the derivative of 21*o + v*o + 201 - 164 wrt o?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27239 - -0.01633.\nAnswer: 27239.01633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 16*o**2 - 39*o - 8. Is t(11) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198496 take away -66038?\nAnswer: -132458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 154, 150, 144, 136, 126?\n\"Answer: -y**2 - y + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 2*u**2 + 0*u - 1\/30*u**5. Let n(r) = 4*r. What is h(n(o))?\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.196 * 0.1\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k = 45*k - 12. What is the derivative of -7*n**3 - 5 + 12*n**3 + 9*n**3 + 17*n**k wrt n?\nAnswer: 93*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3207101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 53*x + 104. Let g be j(51). Suppose 0 = -k - g*y + 7263, -y = -8*k + 9*k - 7267. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9 (b) 0.2 (c) 6 (d) -764 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 13. Find the first derivative of -7*r - 1 - 6 + 22*r - z*r wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2)\/(2 - 4). Let i be 4*(1 + (-2 - g)). Let u(n) = -n + 5. Let s be u(7). Sort i, -5, s.\nAnswer: -5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1549443*l**4*s - 286*l**2*s**3 - 705344179*s**3 with respect to l.\nAnswer: 6197772*l**3*s - 572*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*y - 21. Suppose -4*z - 131 = -2*d - 3*z, -189 = -3*d - z. What is the highest common divisor of y and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = 0, 45087*u + 5*w + 95 = 45092*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 7*u**2 + 7*u - 6. Let r be l(6). Let v = -3 - -7. Suppose -v*s - 3 = 1. Is s less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 10685*z**2\/4 - 28536963*z\/4 - 28547649\/4.\nAnswer: -(z - 5343)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9191 is divided by 1221?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y + 91*y**4 + 23*y**2 - 279*y**4 - 15*y**2 - 13*y**2 wrt y?\nAnswer: -4512*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35633, 35625, 35603, 35561, 35493, 35393, 35255, 35073?\n\"Answer: -q**3 - q**2 + 2*q + 35633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44186764459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*b**5*q + a*b**3 + 8*a*b**2 + 11*a*b*q + 38*b**4*q - 3*b*q wrt b?\nAnswer: -60*a*b**2*q + 6*a + 912*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40636 in -3, 1\/22, 0, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 450 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)*-3*3. Let c(j) be the second derivative of j**4\/3 - j**3\/6 + 2*j**2 + 15*j. Is c(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/14)*u**(4\/7))\/(u**22\/u**(-5)))**(9\/5) assuming u is positive.\nAnswer: u**(-3321\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -143160*702\/(-312)*(-4)\/(-6). Round f to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21203020113 (base 4) to base 10.\nAnswer: -2503191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11229489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 126*j + 34. Let k be s(2). Suppose 4*r - 5*p - 222 = 0, 5*r - p - k = p. Calculate the remainder when r is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/10*r**4 + 0*r - 1\/5*r**2 + 0 + 3\/10*r**3 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h + 1\/3*h**3 - 1\/4*h**4 + h**2 + 1\/10*h**5 + 2 - 1\/60*h**6. Let f(m) be the second derivative of y(m). Factor f(i).\nAnswer: -2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -8 - (9 - 0) - (12 - 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 9*q**2 - 3*q + 67. Give y(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -35. Solve y + k = -2*y - 4*d, 2*y - 4*d - 18 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/4 - 21*t**3\/2 + 27*t**2 - 51*t\/2 + 33\/4 = 0. Calculate t.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.3. Let b = -1601 - -1595. Sort k, -0.3, b, -0.4 in decreasing order.\nAnswer: k, -0.3, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23\/292896 (b) 1\/4 (c) -3 (d) 0.3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -270, -1099, -2480, -4413, -6898?\n\"Answer: -276*k**2 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 200*j + 705*j - 500*j + 467*j + 484*j in the form x*j + v and give x.\nAnswer: 1356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + (-3*sqrt(65))\/sqrt(5).\nAnswer: -2*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2 = 4. Let c(u) = -20*u - 20. Let h be c(-6). Let l be h\/30*3\/2. Solve l*r + 2*o = 3*r + f, 5*r - 3*o = -3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14160, 14184, 14218, 14262, 14316, 14380?\n\"Answer: 5*f**2 + 9*f + 14146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x + 14628*x**2 + 11*x - 32875*x**2. Let q(f) = -f. Determine q(w(k)).\nAnswer: 18247*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-7 + 11)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -12120313?\nAnswer: 12120322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 3 + 2397*v**3 - 2*v**2 + 2 - 2400*v**3. Let f be s(-2). Let y(g) = -f*g + 29*g - 17*g. Let a(t) = -5*t. Determine y(a(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6332 = x, -13*l = x - 5*l - 6341. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**5\/180 + b**4\/72 + b**3\/3 - 13*b**2\/2 - 6*b - 158. Let f(w) be the second derivative of p(w). Let f(a) = 0. Calculate a.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j**5 - 8*j**2 - 3*j**2 + 2*j**3 - 2*j**3 wrt j.\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17091 is divided by 574?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 12 (c) 2\/5 (d) -5 (e) 2 (f) 5 (g) -3\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 3*p**2 - 19*p**2 + 7*p**2 as a*p**2 + n + s*p and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79044 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 25*v + 117. What is x(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n. Suppose -4*v + 13 + 19 = n. What is the units digit of v - (-3)\/(3\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 5, -16, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -26, 0, -20, 5 in descending order.\nAnswer: 5, 1, 0, -5, -20, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5655240 and 1696572.\nAnswer: 16965720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*d - 6 - 5*d + 3*d + 3*d + (-3 + 1 + 4)*(d + 0*d + 0*d) + 3*d - 2*d + d)*(-3 + 2 + 2)*(-11*d**2 + 100*d**2 + 7*d**2).\nAnswer: 288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 - 3*f + 7. Let i(b) = -b**3 + b - 2. Let x(c) = 7*i(c) + 2*w(c). Let q(r) = 2*r**3 - 12*r**2 + 10*r. Let z(v) = -q(v) + x(v). Factor z(u).\nAnswer: -3*u*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23980 - -23981. Which is smaller: n or 5\/6396?\nAnswer: 5\/6396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 90 = -38*l. Let z(t) = -t**2 + 5*t + 7. Let x be z(6). Let p = 5 - x. Put -3, p, l in increasing order.\nAnswer: l, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:20 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*u + 5 + 1, -3*v + 2*u = 0. Let f = 9 - 9. Solve f*j - 4 = -v*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (318\/(-1938))\/(6\/(-201)). Let s = -1\/323 - m. Suppose 5*t + 6 = -19. Are s and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (17920\/(-110))\/16.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*o + 0*o - 2*o)*(-o - 2*o + 5*o + (3 + o - 3)*(1 + 0 + 0)).\nAnswer: 6*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 103. Suppose -2*t + 2*d = d - y, d = -5*t + 66. Let q = -3 + t. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-7)\/7) + 32*1. Let z = g - -67. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/11))**39 assuming a is positive.\nAnswer: a**(546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (3 - 2)) + 1. Let w = 12 - u. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i**5 - 25*i**4 + 55*i**3 + 105*i**2 + 20*i - 20 = 0 for i.\nAnswer: -2, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 6a?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0069003961 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.773 + 4.37?\nAnswer: 13.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1102.183 - -1102. Which is the nearest to 1\/4? (a) -0.5 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253470 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oddoooozokdddojgkddd. What is prob of sequence do?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/7 (c) -2\/125 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -8. Let f be (2 - 4)*(9 + -11). Suppose 2 = -2*a - 4, -5*a = 2*g + 9. Put -3, k, g, f in decreasing order.\nAnswer: f, g, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + (2 - -2) + (-46 - (-11 - 22)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7606379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + (sqrt(832) - (((sqrt(832) - (sqrt(832) + 0) - sqrt(832)) + sqrt(832) - sqrt(832))*3 + sqrt(832))) + 4) + 4)**2*-3.\nAnswer: -561963 - 7920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**41\/(d**(2\/15)*d**(-4)\/d))**34 assuming d is positive.\nAnswer: d**(-11458\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((-9)\/(-6))\/((-6)\/(-20)). Suppose 50 + y = 5*z. What is the lowest common multiple of z and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 100?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2302 = -7*x + 2309. Calculate the greatest common divisor of x and 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 46*q**2 - 3. Let w(y) = 3*y**2 - 2*y**2 - 5*y**2 + 2*y**2 + 0*y**2. Calculate s(w(l)).\nAnswer: 184*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b + 20*b - 58*b to the form x*b + z and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 16) to base 13\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93320 and 373280?\nAnswer: 373280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1966*q - 133*q + 269*q.\nAnswer: -1830*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 50*v**3 + 4245*v**2 - 44530*v - 105560 = 0. Calculate v.\nAnswer: -29, -2, 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4 + 2) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150575502 divided by 50191834.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -72*z**2 - 10*z - 5. Let o(w) = 71*w**2 + 8*w + 4. Calculate -4*f(q) - 5*o(q).\nAnswer: -67*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 1, z: 2, i: 1, a: 4}. What is prob of sequence xax?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 3*n + 5. Let w be b(2). Suppose 5*d + 5*x + 0 + w = 0, x = 4*d - 3. Suppose d = 2*h - 7*h + 600. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 271*c - 15. What is the thousands digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -76, -5 in ascending order.\nAnswer: -76, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8598299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 225*i - 6186. Calculate q(-193).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35422 or 36288?\nAnswer: 36288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3407*r - 3696. What is the tens digit of n(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b13 (base 12) in base 13?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 108 = 2*i. Does i = -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 14) to base 15.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12613022*o**3 - 4303322*o - 2 wrt o.\nAnswer: 75678132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*r + 7 - 3, r = -9*u + 19. Let o = -11 - -15. Suppose o*t - 8 = 2*t. Is u >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2 = 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 21*p**2 + 86*p + 61. Is z(32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 72*z**2 - 1. Is i(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272) + -1 - sqrt(272) - -2*sqrt(272)*-1)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1500546583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*g + 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6491, 6488, 6485, 6482, 6479?\n\"Answer: -3*t + 6494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6364837l in millilitres?\nAnswer: 636.4837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 388 from 1666368.66985.\nAnswer: 1665980.66985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 494a49 - -54?\nAnswer: 494aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89230739 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 - 2*c**2 - 3*c**2. Let r(w) = -21*w**2. Give b(r(x)).\nAnswer: 441*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21530668 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 59?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274 + 247.1. Let p = -27 - l. Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30*33\/(-45540))\/((-2)\/(-4))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*w**2 + 2 - 75*w**2 + 49*w**2 - 229*w**2.\nAnswer: -476*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -48 - 4 - 125 - 6*a - 20 + 6. Let d be r(-33). Solve -4*k = 4*n - 0*n + 8, 4*n + 5*k + d = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.32 and 4?\nAnswer: 17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 47370b (base 13) to base 9\nAnswer: 3160172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o - 1. Let p be j(-1). Suppose 0 = p*b + b, -12 = -3*z + b. Let m(q) = 353*q + 359. Calculate the smallest common multiple of m(-1) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -29 (b) 0.9 (c) 6\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -0.033.\nAnswer: -0.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89.975 + -90. Let r = -0.425 - v. Let u = -19 - -14. Which is the second biggest value? (a) 4 (b) -4 (c) r (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + s**5 - 2*s**5 + (4*s**3 + s**3 - 6*s**3)*(-5*s**2 - 10 + 10).\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(8\/(-1)))\/(-4*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, k: 4, h: 2, g: 3}. Give prob of sequence mg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - b + b + (4 - 3 + 2)*(-93 + 93 + 50*b) + 2*b + 4*b - 2*b to l*b + w and give l.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b672 (base 12) to base 11.\nAnswer: 28635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 - 31 = 2*v, -t = 2*v + 8. What is the units digit of (-2)\/t - 28\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1726202646.422 from -0.03.\nAnswer: -1726202646.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -1. Let i = r - 17. Solve i = m - 0, 24 = 4*w + 4*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + 462\/(-209). Is -1 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (18 + -6 + -21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -61660 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 174 - 1467?\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3)*-1 + 3. Suppose d*g - 17 = 3. Suppose 5*y + w = -2 + 25, -3*y - g*w = -27. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23501 - -23498. What is the second biggest value in -3\/2, -4\/5, 22, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + 0*s**2 + 36*s - 37*s - 5*s**2 + 4 + s**3 - 3 + 3 - s**3 - 2*s**3 + 5*s**3 + (-s**2 - 2*s**2 + s**2)*(s + 0*s - 3*s).\nAnswer: 10*s**3 - 5*s**2 - s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let u(h) = -h**3 + 10*h**2 + h - 3. Let j be u(10). Suppose -4*l = j + 5. What is x(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddd when four letters picked without replacement from ddfdb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/376) + -4. Calculate the common denominator of -35\/12 and (10\/32)\/(3\/s).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 9. Is 2853\/18 - (-6)\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 102, 70, -106, -468?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/2 - 8*i + 11. Let d(w) be the first derivative of t(w). Let x(v) = -4 - v**2 + 4. Give d(x(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*y = -2*p + 20, -4*y - 22 = -2*p. What is the lowest common multiple of 1 - 3 - 20\/(-4) and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4113033140 + -2?\nAnswer: -4113033142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 14\/(-4)) + (-6)\/(-4). Suppose r*j - 10*j = 72. Let i(y) = -10*y**2 - 2. Let c(n) = 4*n**2 + 1. Determine j*c(k) - 5*i(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 548737?\nAnswer: -548742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -1. Suppose 0 = -z + o + 2. Suppose g + 5*w = -13 - z, -5*w = 4*g + 4. Solve 21 = g*p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + q = 2*m + 22, 4*m + 106*q - 474 + 145 - 323 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 5 (c) 77 (d) 8.2 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 12*q + 762. Let l(u) = 12*u**2 + 51*u - 3051. Calculate 4*l(t) + 17*n(t).\nAnswer: -3*t**2 + 750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -3*v**4\/2 - 7*v**3\/3 - v**2\/2 - 5*v - 2. Let i(q) = -5*q**3 - 6*q**2 - q - 4. What is -5*i(l) + 4*t(l)?\nAnswer: l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.627071 years to centuries.\nAnswer: 0.08627071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -56.79?\nAnswer: -52.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 157 = -2*c. Let n = -62 + c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 91 - 19. Solve 5*d - x*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*l + 104*l = -6. Calculate the remainder when 46 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/89 or 0?\nAnswer: 52\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)\/(h*h*h**(-1\/7)\/h*h)*(h*h*h**(-2\/5)*h)\/(h**(-8)\/h))\/((h\/(h*h**(-2\/25)))\/(h\/(h**(-9\/4)\/h)*h))**(8\/13) assuming h is positive.\nAnswer: h**(124437\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27489\/11360 + 309\/142. Calculate the common denominator of -67\/96 and f.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -63536827360.\nAnswer: -63536827365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 58*p - 15 = 0. Solve -2*u = -4*f - 24, -4*f - p*u - 469 + 459 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*114\/(-76)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*c + 945 = 186*c. Let q = 317 - c. Solve -2 = -d + 4*w - 3*w, 4*w = -q*d - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 76 (b) 3 (c) -0.3 (d) 52 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -4, -1, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -211*1 + (-1 - -2). Let l be (20\/r)\/((-2)\/(-18)). Let q = 3 - 3.1. Is l at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -32*w**2 - 62603*w - 146551. Give h(-1954).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 49. Suppose 5*p - r*d - 2*d = -5, 3*p + 7 = 4*d. Suppose -q + p*a = -54 - 10, -263 = -4*q + 5*a. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = -2. What is the common denominator of -43\/10 and (-2)\/(-24)*(21 + i)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11450137?\nAnswer: 11450137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-4 - (-4 - -4)). Let w be v\/39 + 394\/26. What are the prime factors of (3 + w)*6\/18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 7, 3.\nAnswer: -5, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*z + 2)*(-3*z + 0*z + 4*z) + 4*z**2 + 8*z**2 + z**2 + (-1 + 1 - z)*(0*z + z + 0*z) to b*z**2 + r*z + d and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:25 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 32. Let i be (-1 - (-51)\/9) + l\/3. Find the second derivative of -4*z**2 + z - i*z + 2*z wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1216670 and 1225?\nAnswer: 6083350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvxyxvvxvxxxx. Give prob of sequence vxvy.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) - -6*(sqrt(170)*-3 - sqrt(170)))))\/((sqrt(70) - (sqrt(70) - sqrt(70)*2))\/sqrt(7)).\nAnswer: -23*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*g**3 - 25*g**3 - 31*g**3)*(1 - 1 + g - g + 2 - 2 + (3 - 5 + 0)*(-5*g + 3*g + 0*g))*(0 + 2 + 0).\nAnswer: -280*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-5) - (-8)\/20. Suppose -22 - 20 = -3*q. Calculate the remainder when q is divided by (-8 - (1 - g))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 2096 + 36*y**2 + 2096 + (2*y + 2*y - 6*y)*(-3 + 3 - y).\nAnswer: 38*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 5733\/149?\nAnswer: 5733\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p - 3*u, -4*p + 5*u + 0 = 2. Suppose 3*m + 3*i + 39 = 0, 3*m + 41 = -4*i - 0. Let a = m + 33. What is the least common multiple of p and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f + 2. Let w(v) = -v - 1. Let x = 1991 + -1979. Determine x*w(k) + y(k).\nAnswer: 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -238 + 152. Let c = 145 + s. Suppose -7 = -2*b + c. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-467)\/(-3) + (-86)\/129. Let c = b + 79. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 r, and 1 m when four letters picked without replacement from mqqppmrqqrpp?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 5, 34, -0.1, 52 in increasing order.\nAnswer: -5, -2, -0.1, 5, 34, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 4 + (-3 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-15)*12\/8)\/(-3*2\/(-60))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*a**3 - 38*a**2 - 27*a**2 + 110*a**2 wrt a.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3766*q + 20*q**3 - 5*q**3 + 9*q**3 + 34*q**3.\nAnswer: 58*q**3 + 3766*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121193, -969561, -3272273, -7756499, -15149409, -26178173?\nAnswer: -41569961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:10 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6008 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59732361 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**2 - 11. Let c be k(-3). Let v = -16 - c. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -4*a**3\/3 + 59*a. Let o(x) = -x. What is -52*o(c) + 6*z(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15895.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 130338, 130460, 130582, 130704, 130826?\n\"Answer: 122*n + 130216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i + 1. Determine m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 6. Suppose -10*d - 55 = 23*d + 44. Let h(k) = 2*k - 3. Suppose -12*z = -17*z + 25. What is d*b(u) + z*h(u)?\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 12:28 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 - 5*d. Let u be h(6). Suppose -v + u*v + 25 = 0. Let x(p) = 4*p**2 + 2*p. Let s(i) = 8*i**2 + 5*i. Determine v*x(r) + 2*s(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by -6\nAnswer: 203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*f + 78580 + 63635, 5*f - 142233 = t. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.67 + -4.33. What is the third smallest value in -0.5, 2\/13, 0.9, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-46))\/(32\/(-64))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-39)*s)*s**(-16)*(s**(-7))**(-10) assuming s is positive.\nAnswer: s**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065353 to five decimal places.\nAnswer: 0.06535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/465 + -833\/1860. Let y = -8247\/10 + 824. Let z = t - y. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8*r - 7. Let p = -24 - -22. Calculate the remainder when c(6) is divided by p + 1 + 10 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**17*f**19*f)\/(f**1\/f**23) assuming f is positive.\nAnswer: f**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -20*o + 174. What is the third biggest value in -2, o, -4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 679971?\nAnswer: 679972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 25*a - 2. Let r(v) = -300*v + 25. Determine -25*o(f) - 2*r(f).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668206.8 micrograms to nanograms.\nAnswer: 668206800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/7 + 0 + -1. Let a(g) = -16*g + 35. Let t be a(h). Solve 2*q + 6 = -2*w, w - 4*q - t = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30802\/11 + (-20)\/(-11) + -2. Suppose -5*m = 5*w - b, -m - 9*w + 11*w = -551. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*2*(((5 + sqrt(475))*6)**2 - (sqrt(475) - -3*(sqrt(475) - (2 + sqrt(475))))).\nAnswer: 7180*sqrt(19) + 72025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 15*d**2 + d + 22. Let a be x(-15). Suppose -a*u + u + 216 = 0. Suppose -u - 69 = -5*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 22. What is the units digit of 58 + a + (-10)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42443)\/((-20)\/(233 + -13)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + 1 + -3)) + (0 + sqrt(68) - sqrt(68))**2 - (-2 + sqrt(153)\/(sqrt(18)\/sqrt(2))).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 - 7*z - 2 - 2 - z**3 - z. Let u = -3057 - -3052. Calculate d(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 - 724 = 24*v + 2490. Is v smaller than -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.747005 - -0.07932765.\nAnswer: -5.66767735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {l: 8, j: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 106, 207, 310, 415, 522?\n\"Answer: n**2 + 98*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 30 = -2. Suppose -q + p = 7*q. Suppose -q*b - b + 311 = 2*w, 15 = 3*b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - 1*sqrt(140))\/sqrt(10))\/(sqrt(28)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = -f + 11*f. Suppose -7*u + f = -3*u. Let a = -6 - -11. What is the greatest common divisor of u and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21878 divided by -496?\nAnswer: 10939\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**2*g*g)*g)\/(g\/((g\/(g*g\/(g\/(g**(-8\/11)*g)*g)*g*g)*g)\/g))*g**(2\/7)\/(g*g**11))**(-17) assuming g is positive.\nAnswer: g**(20927\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 21*l + 27. Let j(p) = 3*p + 4. Let g(s) = 27*j(s) - 4*m(s). Let z = 1183 + -1189. Let h(i) = 8*i. Give z*h(b) - 17*g(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 7*a - 9. Let q be y(-3). Factor -q*g**3 + 6 + 5*g**2 + g**2 + 10*g + g**3 - 4*g**2.\nAnswer: -2*(g - 3)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 7*t + 5. Let w be p(-4). Let l = w - 13. Let c = -1916949 + 1916950. Which is greater: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**6 + 5*i**2 - 9*i**2 + 2*i**6 + 4*i**6 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 15426.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 751293 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(-3*m - 4*m + 2*m) as x + v*m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*y - 2*s, -3*s + 19 = y - 2. Solve -y*q + 5 = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*d - 8, -5*d - 67 = -57. Solve 4*w - 2*b + 28 = 0, -3*b = x*w - w + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 2, d: 2}. What is prob of sequence xdx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170*q**2 + q + 855.\nAnswer: -340*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1751.31 + 1750. What is the fourth biggest value in -2\/7, 4, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 21 + 14 - 16 + 5. Calculate k(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 7. Let b = 12 - 22. Let k be 42\/20 + (-4)\/b + -2. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 1, l: 5, f: 5, y: 6}. Give prob of sequence sff.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 2*n**3 + 13 + 4*n**3.\nAnswer: 2*n**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 58295*p**4 - 233167*p**3\/4 + 524647*p**2\/4 + 14573*p - 29147 = 0. What is p?\nAnswer: -58294, -2, -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 4*s, 5*n = -2*s - 59 - 11. Let t be 2*(-1 + 0) - n. Calculate the greatest common factor of 56 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = g. Let a be (4\/g)\/((-6)\/27). Suppose 50 = 5*i + m - 0, 23 = a*i + 2*m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 126 = -10*g. List the prime factors of (25 + -7)\/(0 - 6\/g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-10) + (-15)\/25. Let s = 4 + -2. Is s smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 447*x - 226*x - 216*x + 5*f, 3*x - 64 = -2*f for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-13 - -3)) + 8 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vapyjvaovjjavv. What is prob of sequence va?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + -29 - (0 + -102)) + (9 - 17)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894442 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 60921, 0.8, -5 in increasing order.\nAnswer: -5, 0.8, 60921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2859117204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*l + 62*l + 495 = 0. Suppose 0 = -q + 14 - 7. Let z = q - 1. Calculate the highest common divisor of l and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 3546*v + 1124834. Determine l(293).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let n(g) = 5*g. Let o(k) = -4*d(k) + 3*n(k). Let q(i) = i**2. Calculate q(o(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/(-198))\/((-266)\/42)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*q + 20 = 0, 5*l + 4*q - 10 = 3*l. Let g = 31.2 - 31. Suppose 3*o = -2*o - 10. What is the nearest to -0.2 in o, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2564 or 1\/2538?\nAnswer: 2564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*(sqrt(216) - -2*sqrt(216)))\/sqrt(12))\/(6*sqrt(108)\/((sqrt(300)\/sqrt(5))\/sqrt(5))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*1*(-2)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -66. Let r = -0.053 - 0.047. Is r smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 852217.4 millilitres?\nAnswer: 852.2174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3 - 456*t**2 + 2356*t - 2856 = 0.\nAnswer: -119, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -909 - (12\/10)\/((-15)\/(-25)). Suppose 283 = -5*b - 4*t - 0*t, -2*t - 171 = 3*b. Let j = b + q. What is j rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214252.\nAnswer: 2, 29, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 6, s: 2, a: 1}. What is prob of sequence sco?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 616 + 410. Let z = l + 793. Is 279 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377200 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 522 in 0.06, 2, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/13 - 26064*k**2\/13 - 52122*k\/13 - 26060\/13 = 0. Calculate k.\nAnswer: -13030, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*v - 26, -3*p + 7*p + 5*v - 14 = 0. Suppose -c + 3 = -p. Let h = c - -86. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-847 - 1066 + 691)*(-q**2 - 3*q + 3*q) + 7*q**2 - 2*q**2 + 2*q**2.\nAnswer: 1229*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g + 2*g**3 - 3*g**2 - 43*g + 26*g - 3. Suppose -a + 23 - 7 = 0. Suppose 0 = -l - f - 2, -a + 2 = l + 4*f. Determine q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 1)\/4 - -24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -65\/3*m**3 + 11\/24*m**4 + 7\/60*m**5 + 2 - 23*m**2 + 0*m. Differentiate y(o) wrt o.\nAnswer: 14*o + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.4 (c) 42 (d) 4 (e) 2\/817\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by 7.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*q**3 - 24*q + 396*q**3 + 0*q.\nAnswer: -q**3 - 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (122\/(-915))\/((-10)\/1318575)?\nAnswer: 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 48 = -20*l. Suppose b - 1 = f, 4*f + l = 8*b - 3*b. Put b, -1, -12, -4 in decreasing order.\nAnswer: b, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - (-1 - -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + 9010\/70. Let o = -1694 + 1697. Calculate the highest common factor of o and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*k - 2175, -2*l - 2*k = -6*k + 880. Let x = 1294\/3 + l. Solve 2*r**2 + x*r + 0 + 2\/3*r**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 32*h - 1602. What is n(29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 24560*y + 24564.\nAnswer: -4*(y - 1)*(y + 6141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/65 (b) 1 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 9*z + 3. Let f be i(9). Suppose 2*x + 8 = 5*o - 13, -x + 27 = 5*o. Suppose -x*w + f*w = 15. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65)*-4*-3*1)\/(sqrt(15)\/(-3*sqrt(48) - sqrt(3))*-5))**2.\nAnswer: 316368\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431 + -419. Solve -x*h - 18 = -66 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dds when three letters picked without replacement from {s: 3, w: 1, d: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20563 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*k = -7, 0 = -3*f - 2*k - 564 + 537 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 6 + (-3 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12 and 73\/17550.\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -30. Let b = -20 + y. Put -3, 2, b in decreasing order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0*z + 0*z - 4*z + 7*z. Suppose -2*x + 3*r - 12 = 0, -2*x - 5*r - 7 = -27. Let g(m) = m - 1. Let a be g(x). Give c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let u(s) = -5*s**2 - s + 4. Let k(r) = 6*r**2 + r - 5. Give f*k(c) + 4*u(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 0. Suppose 2*f + l*f = 4. Let d(i) = -i**f - i + i. Let s(v) = 3*v**2. What is d(s(c))?\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -211.\nAnswer: 25.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y\/(y*y*y*y**(-3))))))\/(y\/(y\/(y\/y**(-5)))))\/(y*y**1)**(6\/19) assuming y is positive.\nAnswer: y**(-145\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167*w**2 - 167*w**2 - 6*w**3)*((2*w + 2 - 2)*(-1 - 1 + 0) - w + 2*w - 3*w) to the form z + p*w**3 + b*w**4 + y*w**2 + u*w and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = 126*d + 4 - 33 - 263 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = 88. Let b = 6 - 3. Suppose w - b = 8. What is the remainder when j is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7)*m)\/(m\/m**(-30)))\/(m\/(m*m**(-3)))**33 assuming m is positive.\nAnswer: m**(-906\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 512. Suppose -5*o - 3*l + 8 = 0, 8*o - 5*l + 3 = 6*o. What is the units digit of o\/(-3) - s\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-667)\/87)\/23*((-18)\/(-15))\/(63\/30)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 9*c - 2. Let k be -1 + 8 + (0 - -2). Let f be v(k). Let s be (-2 + 4)\/((-4)\/f). Solve 3*q = n - 4, 3*n + q - s = 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8401 divide 833202779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8952 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 44*b - 144*b + 2309*b**2 - 2309*b**2 + 100*b + 7.\nAnswer: -b**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -13, -7, 1, 11, 23, 37?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4\/5 + 3606*m**3\/5 - 67002*m**2\/5 - 92166*m\/5 + 423396\/5 = 0. Calculate m.\nAnswer: -619, -3, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 2433, 8191, 19403, 37887, 65461?\nAnswer: 103943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -205, -218, -231, -244?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 - 8.71. What is v rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 17277*a\/7 - 4938\/7.\nAnswer: 3*(a + 823)*(7*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981503 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 - -208. Let w(f) be the third derivative of -1\/12*f**5 + 0 + 1\/6*f**y - 3*f**2 + 0*f + 1\/12*f**4. Calculate w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwptgpwwwwwywtwuww. What is prob of picking 2 t?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -22*x**2. Let s(n) = -2341*n**2. Calculate s(v(a)).\nAnswer: -1133044*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 288 - 288. Suppose 5*k - 22 + 7 = f. Solve 0*o = 3*o - k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 3. Let d(i) be the third derivative of -1\/3*i**3 - 27*i**2 + 0 + 1\/12*i**4 + 0*i. What is 4*d(c) - 3*z(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 (base 11) in base 12?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12103 (base 4) to base 6.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 50560.7 millennia?\nAnswer: 50560700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1849697 is divided by 264235.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**4\/9 + 1342*h**3\/9 + 649004*h**2\/9 - 254198*h = 0?\nAnswer: -271, 0, 7\/2, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1761, -7101, -16089, -28797, -45297, -65661?\nAnswer: -89961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4468 = -1117. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/12*2*9\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 32 = 2*z. Suppose -v + z = -5*v. Let o be 1\/((-3)\/2 - v). Solve -3*f + o*c = 22, -2*f + 24 = -3*f + 4*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 5, b: 5, i: 1, c: 3, q: 5}. What is prob of sequence cait?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 6*p**2 - 3*p + 7. Determine w(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 21*s - 46. Let i be n(23). Which is greater: -1\/49 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 + -58. Suppose -u + 0*m = -2*m - 28, -q = -2*u - 5*m. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -30 (c) -2 (d) 2\/17 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-20) - (-23)\/5. Solve -o*z - 29 = -3*n, 0 = 4*n + z + z - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69.1 + 72.1. Which is the nearest to -0.1? (a) 1\/2 (b) -0.2 (c) -5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a + 25786 - 7215 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 7, e: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (376005\/(-21486))\/(2065\/(-4))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 - (25 + 43 + -20)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 50994022*i - 22. Let f be x(1). Suppose 605*h = 614*h + f. What is h rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3465, -12991, -28569, -50193, -77857, -111555?\n\"Answer: g**3 - 3032*g**2 - 437*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guuugugugouggugguuo. Give prob of sequence uuou.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16065 and 870009.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25828595 by -1.\nAnswer: -25828595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -302311 (base 4) to base 11\nAnswer: -2498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 47 (b) 3\/5 (c) 3115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-42))\/(2\/(-12)). Is (k - 1 - (-4 + 1))*-7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u**2 - 4*u**3 + 8*u**2 - 542*u**2 + 57*u**3 - 128*u**3 + 3 + 69*u**3 + (4*u - 4*u - 2*u**2)*(1 - 1 + u).\nAnswer: -8*u**3 - 542*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 626397072 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**16\/r)\/r**10)\/(((r*r\/r**(-2\/37))\/r)\/r*r*r)**(14\/11) assuming r is positive.\nAnswer: r**(971\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49960054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, 12, 17, 10, -15, -64, -143?\n\"Answer: -q**3 + 3*q**2 + 9*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*j + 12*j = -24*j + 2730. Solve 15 = -4*s + k, -s = k - 10 + j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 o when four letters picked without replacement from {o: 4, z: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 5. Let d(x) = -x**3 - 2*x**2 - 4*x - 1. Let a be d(-3). Suppose -a*o = -19*o - 10. Suppose 58 = o*l - 2. Calculate f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 826896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 67962.\nAnswer: -67969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 425968105 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 50190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 3*n**2 - 2*n**2)*(4*n - 6*n - 8*n)*(0*n + 2*n - 10*n).\nAnswer: 80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/736440 and -41\/10.\nAnswer: 736440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 1. Let p be t(1). Let x = 21 - 2. Let g = 26 - x. Is g smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0*f)**39*(f\/f**(-1))**(-1\/34))**(-3\/37))**(-44) assuming f is positive.\nAnswer: f**(87384\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4) + -17 + (-18 - (-16 - -3))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 770 and 253704.\nAnswer: 8879640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaq when three letters picked without replacement from {a: 3, q: 2, j: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323 - -32124?\nAnswer: 33002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343 (base 6) in base 12?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81361 and 2065?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-8)*d\/d**(-8))\/(d\/(d\/(d\/d**(-7)))*d**4)*(d\/((d\/d**(1\/3))\/d))\/d**(6\/7)*(d*d**(4\/3))\/d*d**(-3\/2) assuming d is positive.\nAnswer: d**(-407\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4290 and -1279683.\nAnswer: -1275393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-168)\/140)\/(3\/(-220))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13087539467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 - 9\/12. Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -80\/7, -60, -11, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6\/10)\/(1\/460) and 828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*t + 2 - 20, -m + 5 = t. Suppose 0 = 2*v + 5*b - 20, 6*v + b - 28 = t*v. Solve 0 = 5*s + v, 2*z - 5*s + 4 - 15 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 21. Let v be y(5). Let a(o) = -3*o. Let w(z) = z. What is v*w(q) - 3*a(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.48 + 2.\nAnswer: -86.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g - 8 = 4*n, -5*g + n + 2 = 0. Factor -5*r**2 - r - 16*r - 20 + g*r - 8*r.\nAnswer: -5*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 23*n**2 - 13*n + 43. Let o(a) = 2*a**3 - 23*a**2 - 12*a + 43. Let y(c) = -3*b(c) + 2*o(c). What is the units digit of y(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 110\/25)\/(18\/(-20)). Is g less than 7024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50779 and 7047?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-43)*(g\/g**(-4\/5)*g*g)\/(g**(1\/8)*g) assuming g is positive.\nAnswer: g**(-3333\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5607.996ug to nanograms.\nAnswer: 5607996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(117) + 1 + sqrt(117))*-1)**2 + (-3*((sqrt(65)*-1 - sqrt(65))\/sqrt(5) + sqrt(13)) - (sqrt(78)*-2*1)\/sqrt(6)).\nAnswer: 305*sqrt(13) + 11720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61798125 - 61798112.00000019. Let w = 1842 - 1855. Let y = w + b. What is y rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.280929783 rounded to two dps?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 + 8 = 0. Suppose 0 = -r - x*h + 2 + 10, 12 = -3*r + 4*h. Suppose -4*p + 35 + 29 = r. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 79 + 0*i + 1\/45*i**5 - 1\/27*i**3 + 1\/9*i**4 - 2\/9*i**2. Determine w so that g(w) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294099\/5 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 261 = m, -5*m + 4*r - 689 = -2089. Calculate the remainder when m is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 11. Let t be c(0). Suppose -n + 6*n - d + 15 = 0, -2*n - 3*d + t = 0. Is 24 a factor of 4\/n - -10*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 394*d**2 + 53155*d - 17762 = 0.\nAnswer: -83, 1\/3, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + (0 - -5 - -693)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by 10\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3459.\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-364)*7 - (1 - (-2 - -2)))\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120295?\nAnswer: 5, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2656 and -89\/85536.\nAnswer: 7099488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 4d6c01?\nAnswer: 4d6c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 48 = -131. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*n = 2151*n + 158146 + 38609 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97.865534 + 97.88. What is t rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w, 0 = -p + 3*p + 4*w - 26. Suppose -p*r - 1 = -b + 9, 4*b = 5*r + 10. Suppose -t + 4 = -b*t. Solve 0 = c - 0*c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004994 to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -x + 8, 2*u + 4*x - 7 = 3*u. Suppose -4*h = -2*g - 38, u*h + 4*g - 39 = 41. Calculate the remainder when 46 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/37)*y)\/(y*y*y*y**(-1\/7)*y*y)*(y*y**(2\/3)*y*y*y)**(-2) assuming y is positive.\nAnswer: y**(-10207\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115051 rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let x(n) be the first derivative of n**4\/4 - 4*n**3\/3 - n**2 + n + 10116. Calculate x(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.00794 rounded to two decimal places?\nAnswer: -66.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 650823 divided by 216941?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = 2*d - 6, 26 = 3*d - v. Calculate the greatest common divisor of 64 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(35\/(-2)))\/(2232\/(-1302))*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-976)\/(-4026))\/(2\/(-3))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11 and -22750002505.\nAnswer: -22750002505.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 16, w: 1, m: 1}. What is prob of sequence wkm?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.130004936 - -8.13. What is k rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1573.725?\nAnswer: -1578.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4800 divided by 300\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/16)\/9)\/((-6)\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 16\/507 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2034*v - 26. Let o(a) = 30*a - 1. Determine 2*i(b) - 52*o(b).\nAnswer: 2508*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2902.\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 14) to base 9\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1007, 6894, 16705, 30440?\nAnswer: 48099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 - 6312*g + 366 - 737 + 12638*g - 6328*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 22*i. Does 5 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285604, -1142423, -2570456, -4569703, -7140164?\nAnswer: -10281839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s, 0 = 4*l + l + 2*s - 96. Suppose -n + 25 = -l. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {n: 1, v: 4, u: 5, y: 5, e: 1, l: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**4))\/p**(-14))\/((p\/(p\/(p\/((p*p**14)\/p))))\/p**(-6)))**(-18) assuming p is positive.\nAnswer: p**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 2044. Suppose 2*x = 16 + c. Suppose -l + x = -5*p, 0*l + 3*p - 269 = -2*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 389 (base 16) to base 12\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110747\/5 - 775219\/35. What is m in 36\/7 + t*m**4 - 50\/7*m - 6\/7*m**2 + 18\/7*m**3 = 0?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39238106, -78476206, -117714304, -156952400?\nAnswer: -196190494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {b: 3, u: 3, m: 6, x: 1, d: 1, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/3 + 22*r**4 + 104*r**3\/3 + 344*r**2. Factor g(d).\nAnswer: 4*(d + 26)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33699, 33290, 32871, 32436, 31979, 31494, 30975, 30416?\nAnswer: 29811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11) - (-26)\/(-22))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 6, i: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/11)*t*t**(-13\/2))**(1\/36) assuming t is positive.\nAnswer: t**(-101\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q**2 - q. Let y(p) = -3*p**3 + 5*p**2 + 3*p - 3. Let c(r) = 4*d(r) + y(r). Let b be c(-9). Let s(n) = 9*n + 15. Is s(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipippxpiipipipiiii. What is prob of sequence ipi?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8132 is divided by 407?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -15 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/4)*u**(-6\/7)\/u)**(-5)*(u**(2\/7)*u)**28\/(u\/(u\/(u**(-1\/3)\/u)))**(-24\/7) assuming u is positive.\nAnswer: u**(825\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 375289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 207286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182443013*g**5 + 176645*g + 618.\nAnswer: -3648860260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(((j**42\/j)\/j)\/j)\/j)*j)\/j)\/j**(19\/2) assuming j is positive.\nAnswer: j**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/4 + 1\/4. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-562)\/(((-26)\/1443)\/((-2)\/(-6)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 25. Let q = 433032 - 433021. Suppose -3*b - 120 = -4*z + b, 3*z + b - 82 = 0. Solve r = -h*v + q, -4*v = -r - 3*r - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -18 (b) 2\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from {m: 2, k: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -2*a**6\/15 + a**5\/5 + a**4\/3 - 2*a**3\/3 - 12*a. Solve s(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 203 - 7 = 0. Let z = c - 37. Calculate the remainder when 32 is divided by z\/((-75)\/(-155)) - (-2)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1008) + 2)*5.\nAnswer: 30 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (356 + 181 + 272 - 99)*(0*v**3 + 3*v**3 - 4*v**3).\nAnswer: -710*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q. Solve -4 + q = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - -2 - (11 + 35 + -87) - -5\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 - 15 - 11 - 74880\/(-3712).\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0098 - 0.0902. Let h be 166\/(-164)*-2 + -2. Let w = 35\/246 + h. What is the third biggest value in 5, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccp when four letters picked without replacement from pppcccccppcp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3)*n)\/(n\/(n**0*n))*(n**(-2\/17)*n)\/(n\/(n**8*n)))\/(n**(-4\/5)*n*n**(-2\/3)\/n*(n**(1\/4))**(-14\/9)) assuming n is positive.\nAnswer: n**(14899\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i**2 + 13401*i - 40378. Calculate s(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*m + 128. Suppose -106 - 124 = 5*z. Let o be (-4)\/2 - z\/2. What is the greatest common divisor of o and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 5*t**2 - 7*t + 8. Let v be k(6). Suppose 0 = v*a - z, -2*z = 2*a + z. Find x, given that 0*x + a - 2\/3*x**3 - 1\/3*x**2 - 1\/3*x**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Let b(p) = -6*p + 23. Let f = -94 - -98. Let w be b(f). What is the lowest common multiple of 16 and t(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 16. Let k be (o - 9)*(-1)\/2. Let u(b) = b**3 + k - 4*b - 2*b**2 + 3*b + b**3. Let g(l) = 3*l**3 - 3*l**2 - l + 4. What is -3*g(t) + 4*u(t)?\nAnswer: -t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -1421, -2144, -2881, -3638, -4421, -5236, -6089?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-44)*-1*(-8)\/(-92)*8?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115495 * 549.\nAnswer: 63406755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 2}. What is prob of sequence qqqk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 5*g**2 - 4*g - 7. Suppose 19 + 1 = 4*l. Let u be v(l). Suppose h + 21 = u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -703.6 (c) -206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*y**3 - 97*y**2 + 68?\nAnswer: 6*y**2 - 194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 681954*c + 465061258116.\nAnswer: (c - 1363908)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -341\/45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*r - w, -2*w = 5 + 5. Suppose -m - m + r = 0. Suppose -o + 116 = 5*x, -2*x = x + 5*o - 52. Calculate the highest common divisor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.23 plus 963235?\nAnswer: 963233.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -5. Let r = -842 + 841. Which is the nearest to r? (a) -2\/13 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:59 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.2 + -8. What is the smallest value in r, -5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 23 = 3*v, 4*b - 3*b = -5*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = 4*z, -3*z - 9 = -5*k - z. Suppose 0 = -4*d - k + 89. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 4*n, 0*n + 4*n + 20 = 0. Solve 4*d = 2*d - 4*i + 24, 0 = q*i - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 0*f**2 - 5*f**2 - 3*f**3 + 4*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v + 2*y - 4*y, 4*y - 8 = 3*v. Suppose 5*z = -3*w + 490, 326 = -w + 3*w + v*z. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 33\/7, 1\/6, -145, -2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 240, 232, 214, 180, 124?\n\"Answer: -j**3 + j**2 - 4*j + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 25\/103123, -4 in decreasing order.\nAnswer: 0.2, 25\/103123, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34202 and -141.\nAnswer: 34061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10 = 7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 62*d**2 + 69*d - 454. Determine k(63).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.1 - -38.4. Let o = -3743.73 + 3726. Let v = o - m. Round v to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10895374 divided by 14?\nAnswer: -778241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 3*c + 0*c)*(5 - 4 - 2)*(-c**3 + 2*c**3 - 2*c**3) in the form z*c**4 + f*c**2 + h*c + s + b*c**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*i**2 - 15*i**2 - i - 26*i**4 + (-2*i**2 + 2 - 2)*(-2*i**2 - 4*i**2 + 4*i**2) - 3*i + 3*i**4 + 3*i.\nAnswer: -19*i**4 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by 1?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*1*sqrt(7).\nAnswer: -3*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -37*g - 12. Let y(k) = 26*k + 8. Let b(v) = -5*q(v) - 7*y(v). What is b(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 0) + (11 - 12). Suppose k = s*k + b - 908, -2726 = -3*k - 5*b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*z - 20*z - 15*z - 171*z**2.\nAnswer: -171*z**2 - 99*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 - 1605 = 63*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 234*i**2 + 39*i + 25. What is the tens digit of q(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + i + 0)*(4*i + 10*i + 4*i)*(-1 - 2 + 4) + (-2*i + 2*i + 2*i)*(i + i - 3*i).\nAnswer: 16*i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*z - 337*z + 60 = 0. Calculate the remainder when 72 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14570*a + 8968*a - 14 + 14 + 9333*a as d*a + i and give d.\nAnswer: 32871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1467*l**2*u**4 + 403*l**2*u - 13*l*u**5 + 33*u wrt u.\nAnswer: 17604*l**2*u**2 - 260*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72768.24 from -0.321034.\nAnswer: -72768.561034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 595, 1207, 1833, 2479, 3151, 3855, 4597?\n\"Answer: q**3 + q**2 + 602*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*b - 9. Suppose -5*m - 137 = -h, -h = m - b*m - 125. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110)\/(sqrt(8)\/sqrt(4))*-3)\/((3*(sqrt(77)*2 + sqrt(77) - sqrt(77)))\/sqrt(7)) + -4)**2.\nAnswer: 24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366 - 372. Let q(z) = -7*z**2 - 18*z + 6. Let p(n) = n**2 + 3*n - 1. Let a(f) = v*p(f) - q(f). Let o(i) = -16*i**2 - 5*i + 5*i. Give o(a(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-1\/2)*h)\/h))**39)**(2\/145)*(h**(1\/5)\/(h\/(h*h*h*h*h\/(h*h\/h**(-1\/3))*h)))\/(h**(-1))**43 assuming h is positive.\nAnswer: h**(20303\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-25) + (-2)\/5. Solve 22 = 3*j + 2*b, -5*j + 5*b - 7 + 2 = w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*d + 11683 + 5204, 0 = -3*z - 6. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1565 to the nearest ten.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 43*x**3\/3 - 474*x. Let g(m) = -7*m**2. Determine g(d(c)).\nAnswer: -51772*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21126126 divided by 1\nAnswer: -21126126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136495 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 127 = -3*y + 964, a - y = 271. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u. Let c(m) = -m**3 - 10*m**2 + 10*m - 15. Let w be c(-11). Let k = 43 - 50. Put u, k, w in descending order.\nAnswer: u, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53417?\nAnswer: 7, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 653 + -1075. Let l = -417 - p. Which is the closest to -53? (a) 0.3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**2\/2 - 3*j - 2. Suppose -w + 1 = -4. Suppose -2*v + 3 = -3*v, 21 = w*p - 2*v. Give r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34955 + -34953. Put i, -1, 5, -12, -2 in decreasing order.\nAnswer: 5, i, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -363 less than or equal to -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (455\/15015)\/((-1)\/30)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13 + 2*j**3 + 2*j**2 - 11776*j**4 + j + 11861*j**4 - j wrt j?\nAnswer: 340*j**3 + 6*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -633 and -9.13.\nAnswer: -642.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/528, 0.1, 10 in ascending order.\nAnswer: 1\/528, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 41*y**7\/42 + 5*y**5\/4 + 1749*y**4\/4 + 139*y - 3. What is the third derivative of i(t) wrt t?\nAnswer: 2460*t**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 + 2 = 0. Let f = -1 - y. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + 2*d**2 + 3*d**2 + (-3*d + 5*d + 0*d)*(-d - 1 + 1) + (-3*d + 2*d + 4*d)*(-3*d - 3*d + 7*d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 67. Solve m + c = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 2*o - 1\/15*o**4 - 1\/15*o**3 - 1\/50*o**5 + 0 + 0*o**2. Suppose r(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*j - 3\/4*j**2 + 3 = 0. Calculate j.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0.7 (b) -65 (c) 0.6 (d) 0.08 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5 - 21*i**4 + 352*i**3 - 34538825*i.\nAnswer: -20*i**3 - 252*i**2 + 2112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17464706?\nAnswer: 2, 7, 1247479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020963 rounded to five dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = 15*z - 962. Suppose -3*r + 0 = 4*d - z, -5*r + 20 = 2*d. Factor -2\/7*y**5 + 0*y**r + 2\/7*y**3 + 0*y + 0*y**4 + 0.\nAnswer: -2*y**3*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.3997 nanometers to centimeters.\nAnswer: 0.00007823997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -569914.5 to the nearest one thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -74 + 84. Suppose h + 0*f - 91 = 5*f, -2*f = -k. What is the remainder when h is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99 + 15\/5 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/16)\/(123\/164))\/((-3)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*b = -5*l + 48, 0 = 2*l - 4*b - 22. Suppose 2*o - 5 = o. What is the remainder when l is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8194237 years?\nAnswer: 9.8330844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -23. Which is the fourth biggest value? (a) z (b) 0 (c) 0.4 (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23b6 - 1ac8?\nAnswer: 5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -133221 (base 4) in base 8?\nAnswer: -3751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + -15 + 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.94, -8, -0.2, 3\/50, 171 in increasing order.\nAnswer: -8, -0.2, 3\/50, 2.94, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - 24*n. Let g(l) = -5*l. Give o(g(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/55 and 19\/363.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8305, -16710, -25103, -33478, -41829?\nAnswer: -50150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-44)\/5808*-108?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 32*k**2 + 170*k - 92. What are the prime factors of q(-30)?\nAnswer: 2, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, 270, 1376, 3646, 7470, 13238, 21340, 32166?\nAnswer: 46106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -33*p**2 + 96. Let f(z) = 65*z**2 - 216. Let c(v) = 4*f(v) + 9*k(v). Let b(u) = 2*u**2 - 3. Give c(b(l)).\nAnswer: -148*l**4 + 444*l**2 - 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 7*x**2 - 5*x. Let c be j(6). Let o be ((-3)\/c)\/((-4)\/40). Let z = -7\/9 + 1\/9. Sort o, -3, z.\nAnswer: -3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = -2. Let r(b) = -1. Let k(z) = z**2 + z + 1. Let v be k(0). Let h(d) = -11 - 5 - d - d + 18. Give s*r(m) + v*h(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 0.1, -4, 27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 21789*l**2 + 5471793*l + 349710615.\nAnswer: 3*(l + 129)**2*(l + 7005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3210 and 12164830?\nAnswer: 36494490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 11*u - 14. Let b be j(-12). What is the lowest common multiple of 16 and (b\/(-4))\/(7\/84)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d - 8. Give l(-9).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0, 41, 6\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 534, -18, -2\/7, 2\/9, 0.5, 0.17 in descending order.\nAnswer: 534, 0.5, 2\/9, 0.17, -2\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 101.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*d + 18*d + 21*d)*(-3 + 1 + 0 + (-2 + 0 + 0)*(1 - 5 + 2)) as a*d + i and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.41425ug in nanograms?\nAnswer: 3414.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 16*x - 3*g + 30, 3*g = 3*x - 24 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5. Let r = p - -1. Calculate the highest common factor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o + 93. Let a = 0 + 5. Suppose -2*c = -5*v - 4, -a*v = 3*c - 8 + 2. Is n(v) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.262 + -2.738. What is the closest to -0.3 in 3\/2, 6\/11, b?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 9*f - 11071*f**2 + 11071*f**2 + 36*f.\nAnswer: -5*f**3 + 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 + 13*m**2 - 34*m + 176. Determine p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.7 + -34. Let d = 1.8 + i. Let u = 1.7 - 2. Sort u, d, 9 in decreasing order.\nAnswer: 9, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 4*z**2 + 6*z + 1. Let b be -5*((2 - 0) + -3). Let v be q(b). Suppose -y = -v*y + 5. What is the greatest common divisor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 253*c**2 + 3 - 5 + 1609*c**2.\nAnswer: 1356*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 0*g**2 + 4*g**2 + (45 - 9*g - 45)*(-2*g - 2*g + 6*g) + (-2*g + g**2 + 2*g)*(1 + 4 - 4).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5610 divided by 187\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 2180*v + 237620 = 0 for v.\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 0.01, -33, -2\/7, -12 in ascending order.\nAnswer: -33, -12, -2\/7, -0.09, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 + 77?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41856 by 6.\nAnswer: -6976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 5*z + 1. Let h(l) = l - 13. Let r be h(7). Suppose -5*b - 33 + 58 = 0. Let p(i) = -3*i**2 + 1 + 0 - i**2 + 6*i. Determine b*p(m) + r*o(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 0*o)*(4 - 1 - 1) - 19111*o - 53720214 + 53720214.\nAnswer: -19113*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/10)\/(((-25)\/(-40))\/5). Put 4, c, -2, -12 in increasing order.\nAnswer: -12, c, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*q + 12, -q + 5 + 19 = 4*r. Suppose -2*s - 3*s + r = 0. Let k(f) = -1 - s - 4*f + f. Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(1053)) + 2 + sqrt(1053) + -5 - (sqrt(1053) + -6*sqrt(1053)*-1 - (5 + sqrt(1053) + 2))*6)**2.\nAnswer: -25092*sqrt(13) + 1218949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6)*(3 + -6). Suppose -2*i + 16 = 2*n, -i + y*n - 23 = -6. Let v = 32 - 11. Solve i*l + 4*r = 2 - v, -4*l = -r + 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258003, 258001, 257999, 257997, 257995?\nAnswer: 257993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188479 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4 - p**2\/2 - p + 25. Let w = 1 + -2. Let q be z(w). Let i(o) = o + 3. Calculate i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009876107 rounded to six decimal places?\nAnswer: 0.000988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2356 and 85\/464?\nAnswer: 273296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011 + -11?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2*f + 7. Let p be q(3). Suppose -p = -7*w - 4. Let o(t) = t + 3. Let k be o(0). Solve -v - k + 8 = w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -44*d**2 + 3*d + 1. Give l(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 - 4.67. Let s = 0.2 - m. Let j be 0 - 0 - (-3)\/(-8). What is the smallest value in j, 0.5, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Suppose -v = -3*y + 5. Let m(t) = 3*t**2 - 3*t + 1. What are the prime factors of m(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11151 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/(-1)*15295\/322.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -1. Let f be 1338\/g + 14\/(-21). Let q = f + -106. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 9*d**2 + 50*d - 16. Let w be g(-8). Suppose -3*b + w = 3*b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*m + 133 = 93, 30 = g - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -7 - (1 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607045.5 rounded to the nearest ten thousand?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 13*g + 25. Let v be l(10). Is (3 - 4)*-8044 + v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1994 = -0*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u + 608 - 608 + 2*u**2 + (-6*u + u + 3*u - 1)*(-2*u + 2 - 2).\nAnswer: 6*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 5*d**9\/252 - 3*d**6\/2 + d**5\/30 + 23*d**4\/24 + 19*d**3\/6 - 453*d**2 + 7*d. Find the third derivative of g(m) wrt m.\nAnswer: 1200*m**3 - 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319 - 4*l + 323 - 667)*(-l + 0*l + 2*l)*(-6 + 1 + 4) + l**2 - 3*l + 3*l.\nAnswer: 5*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3 - 487*w**2 - 21690*w + 22176 = 0. What is w?\nAnswer: -42, 1, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:08 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20747 - -427?\nAnswer: 20b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 j when four letters picked without replacement from kppkojkkjjokk?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -406, -758, -1114, -1474, -1838, -2206?\n\"Answer: -2*y**2 - 346*y - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48.74 - 48.73998037. What is h rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -0.307, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 8:33 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.570411 minutes?\nAnswer: 34224660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2499) + sqrt(2499) + sqrt(2499)*-1 + sqrt(2499) + sqrt(2499))*5 - sqrt(2499)) + sqrt(2499))\/(sqrt(33)\/(sqrt(33)\/sqrt(3)) - sqrt(75)*2).\nAnswer: -35*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00274 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 - 2*p - 1. Let k be i(2). Put -2, k, -6 in descending order.\nAnswer: k, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126491*u + 126491*u + 28 = 2*o, 52*u + 3*o - 146 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Suppose -5*k - 5 = 5*u, 3*k - 2*u = -13 - 15. Let n be k\/26*4\/(-6). Which is the third biggest value? (a) n (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25697489 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 43. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(11))*4.\nAnswer: -12*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*s - 2*s + 1 = 0, -2*d = -s + 2. Is 2\/(-2 - d*408\/201) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 18 = 2*d, -11 = -3*d - r + 6. Is (686 - d)*(-1)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4685)\/(-10))\/((2\/40)\/(23\/46))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 + 4*y**4 + 22*y**4 - 22*y + 8*y**4 - 44*y**4 - y**2 + 5 + 11*y**4 to the form x*y**3 + o*y**4 + l*y**2 + b*y + r and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520959?\nAnswer: 3, 211, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbiiiqmibqmbemu. What is prob of picking 2 q and 1 i?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -10, -2, 20, 62, 130?\n\"Answer: z**3 - 2*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1115 - -1113. Let c = 4.3 - 4. What is the closest to 1 in q, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8182\/7 or -1169?\nAnswer: -1169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:22 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 13*a - 45. Calculate u(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 29*m**2 - 4*m + 3*m. Let d(l) be the third derivative of -5*l**4\/8 + 551*l**2 - 2. Determine d(t(p)).\nAnswer: -435*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 143850 divided by -137?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8588 + 0.1412. Put 1\/32, w, -2\/17 in increasing order.\nAnswer: -2\/17, 1\/32, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*l + 13. Let s be 13\/(-3) - l\/12. Let x(o) = -o + 4. Let p be x(4). Sort p, s, 4 in descending order.\nAnswer: 4, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19408\/61 + -318. Let k = n - 252\/793. Put 4\/9, 1\/3, k in ascending order.\nAnswer: k, 1\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-40)*(-1 + 9). Suppose -w*u + 4*a = -2 + 6, -4*a = 3*u - 24. Solve -3*o + 11 = -u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9283 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0 + 7)\/2. Let k be (c*(-3)\/6)\/(2\/(-4)). Solve -k*a + 22 = b + b, -45 = -5*a - 5*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = -s, 27 = 4*s - 3*m + 2*m. Let l(j) = 20*j + 10. Let x be l(s). Let a = -90 + x. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t**2 - 2*t + 11. Let l be o(10). Find the third derivative of 0*k**4 + k**4 + l*k**2 - 3*k**4 - 1102*k**2 - 5*k**4 wrt k.\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 35 + 307. Calculate the remainder when 555 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + 2*q - 2. Let t(o) = -o**2 - o + 1. Let w(g) = a(g) + 2*t(g). Let j(l) = -l - 2*l + 6*l. What is j(w(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 20*f + 38. Let p be y(-18). Suppose -p*b + 655 = 5*d, -365 = -2*d + 5*b - 103. What is the remainder when d is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/7)*k*k**(-1\/4)*k*(k*k\/(k\/((k\/k**(-5))\/k*k)))\/(k**(-9\/5)\/k))**(-2\/5) assuming k is positive.\nAnswer: k**(-1817\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81784798439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -740 + -10?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(325)*1)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, -0.5, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35964 at most as big as -35951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 978\/91 + -2524\/455. Find m such that 36\/5*m**2 - 8*m**4 - 8\/5*m**3 + o*m + 4\/5 - 18\/5*m**5 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 2, n: 5, g: 9}. Give prob of picking 1 f, 1 k, and 2 n.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -446082571285.9?\nAnswer: 446082571285.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + (-9)\/((-819)\/(-350))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55213 (base 6) to base 2\nAnswer: 1110111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -5. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 1494.845\nAnswer: -1495.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/18230 and -6\/91115?\nAnswer: 332205290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255513220 + 1?\nAnswer: -255513215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -2. Let j = 0.5 - x. What is the second smallest value in -4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-11) + (-864)\/(-33). Let t = -105\/4 + z. Let d = -11.2 + 11. What is the closest to t in d, 0.5, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 times -49731\nAnswer: -6514761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22667144251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0*a**3 + 1\/10*a**7 + 2*a**2 - 27 + 0*a + 11\/6*a**4 + 0*a**5 + 0*a**6. What is the second derivative of z(d) wrt d?\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21473.\nAnswer: 109, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 980 - 980 - 15*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 5*t**2 - 27 + (3*t + 2*t - 4*t)*(-2*t + 0*t + 0*t) + (4 - 4 - t)*(-8*t - 2*t + 8*t - 10) as f*t + n*t**2 + p and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24898837*i. Let s(f) = -f**2. Calculate m(s(h)).\nAnswer: -24898837*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)**(-1\/15))**(-11\/3) assuming l is positive.\nAnswer: l**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11122024 (base 5) to base 2\nAnswer: 11000000001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from uaufaaajfajujjaax.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Let b(r) be the first derivative of 23*r**2\/2 + 2*r + 72. Calculate m(b(g)).\nAnswer: -1058*g**2 - 184*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33666*k + 33622*k + 880 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = v. Let z(x) be the first derivative of -x**2\/2 - x + 53. Let j(l) = -l**2 - 8*l - 8. Determine v*j(f) - 6*z(f).\nAnswer: -f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - u - 1, 7*x - 625*u = -621*u + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 415931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 13, 3, -0.7, 2.\nAnswer: -0.7, -2\/3, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 63539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (153\/6 + -4)*14 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -8 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/35 + 20\/7. Let m = 51959 - 8729221\/168. Let z = -1\/56 + m. Which is the smallest value? (a) -3\/5 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-545)\/10 + 2). Let k be (-16)\/(-6) - (-12)\/(-18). Suppose -k*m + n = 3*m + v, 4*m - 168 = 2*v. What is the highest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 93*3 + 48 + -47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3))**(-2)\/(u**(-5)\/u)**45 assuming u is positive.\nAnswer: u**262","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17161 is divided by 781.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 385*c - 203*c - 14463 = 55475 for c.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/((-15)\/(-25)) - 6848\/(-16).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 6:18 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16, 0 = 3*x - 3*f - f + 34. Let v(p) = p**2 + 4*p - 9. Let z be v(x). Suppose u = -z*o - 10, 5*u - o = 2*o + 40. Solve -u*t + 20 = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 9.9. Let u = 11 - x. Let c = -1.5 + u. Put -0.1, -2, c in increasing order.\nAnswer: -2, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*p + 32*p + 167965. List the prime factors of p.\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11417*b + 3836092. Calculate v(-336).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207667.6 days to seconds.\nAnswer: 17942480640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*o + 100, -3*q - o = o - 60. Calculate the remainder when 99 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8824006mg in micrograms?\nAnswer: 882.4006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 - -287. Let k(w) = -w**2 - 7*w - 7. Give k(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1377 and 7469919.\nAnswer: 67229271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48276*l**3*w**3 + 754*l*w - 20331758*w**3 wrt l.\nAnswer: 144828*l**2*w**3 + 754*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -104. Suppose -2*d - h*d = -1265. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 2 - 3 = 14*b. Let k(x) = x**2 + x + 11. Let w(t) = -t - 5. Determine b*k(l) - 5*w(l).\nAnswer: -3*l**2 + 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-1 + 1 - -4 - 1). Suppose 2*r - 2 = 3*r. Suppose -l = -7*l + 24. Sort s, r, l in descending order.\nAnswer: l, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1596.00803 + 1596. Round h to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1747 + -1062. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6929659 to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.3, 0.4, 7838, 4, -4\/3, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023935739 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1905)\/390 + 7 + 2.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 189, 1 in decreasing order.\nAnswer: 189, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1852*y + 296321. Give c(160).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 85789?\nAnswer: -85788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -9) + -8 - (1 - (-1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11030*h**2 - h**3 - 27001816*h + 27001816*h + (h**2 + 0*h**2 - 3*h**2)*(-2*h + 0*h + 3*h).\nAnswer: -3*h**3 - 11030*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2365 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (137\/(23290\/(-272)))\/(48\/78).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -2257, -8426, -20443, -40258, -69821, -111082, -165991?\nAnswer: -236498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21378 (base 9) in base 6?\nAnswer: 145325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 - 0.024\nAnswer: -4.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559432 + 0*i**2 + 14*i + i**2 - 559432 - 14*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 82693, 82698, 82703, 82708, 82713?\n\"Answer: 5*a + 82688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddqddddddd. Give prob of sequence ddq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.134 + -5.034. Let m(z) = -6*z. Let p be m(2). Let o = p + 17. Which is the biggest value? (a) i (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 5:43 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152, -145, -134, -119, -100, -77, -50?\n\"Answer: 2*g**2 + g - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 x when four letters picked without replacement from pxpxpxpppxpxxpppppx?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 30*b - 13. Let a be s(23). Is 27 a factor of a\/(((-2)\/4)\/((-9)\/(-18)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0018 + -1728.2018. What is h rounded to the nearest 10?\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 4}. What is prob of sequence tt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 32*l + 197. Let x be p(4). Solve 27*q - 28*q = -5*v, q = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*n - 10, 0 = 5*n + 7 + 3. Solve g - b = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123 and -10?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2041, -8199, -18485, -32917, -51513, -74291, -101269, -132465?\n\"Answer: -3*o**3 - 2046*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*(8 - (-5 - 10 - 8)).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 140 = j. Suppose 3*u = -5*n + 15, -4*n - 2*u + 2 = -j. Find the third derivative of 49*c**5 - 51*c**5 - 9*c**2 - n + 3 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1974, 7901, 17778, 31605, 49382?\nAnswer: 71109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 107 = 5*s - 14, 5*v + 59 = -3*s. Let j = -13 - s. What is the remainder when j is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-10*(-6)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101111111001 (base 2) to base 13.\nAnswer: 6cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 107 = 16*t + 23, -4*b - t - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 130. Let h be m(-34). Let u be (12\/(-14))\/(12\/h). Let 3\/2*w**4 + 0 + 3\/2*w**3 + 0*w - 3*w**u = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -145, -306, -531?\n\"Answer: -32*z**2 - z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/40 - -7\/8. Factor -l - 3\/5*f**2 + 4\/5*f.\nAnswer: -(f - 1)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7618 - -1763. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 13) in base 14?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 481*v**5\/10 - v**4\/6 + 1404*v**2 + 4*v - 500. What is the third derivative of z(h) wrt h?\nAnswer: 5772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00073067456 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbo when three letters picked without replacement from mbbaoabbhbmbmzz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 + 2*x. Let v(k) = -7*k - 3 - 4*k**2 - 2*k**2 + 5*k**2 + 2*k**2. Let g be v(7). Does 15 divide c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 10 - (17 + 16 + -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/60 + k**4\/24 - 5*k**3\/6 + k**2. Let f = 62 + -62. Calculate d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 55. Is l(-25) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/20869932 and -53\/6.\nAnswer: 20869932","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*l**3 + 584*f*l**2 - 1042*l**3 with respect to f.\nAnswer: l**3 + 584*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 7*b - 6*b)*(3 - 3 - 2*b) + 0*b**2 + 0*b**2 - 2*b**2 + 6*b**2 - 2*b**2 - 6*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 41 = -5*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3*y**3\/2 - 16*y**2 + 55*y. Calculate the smallest common multiple of b(8) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8447497 months in decades?\nAnswer: 0.0237062475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and 37296314794.\nAnswer: 37296314795.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + 66\/12)*-582.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 7*l + 5. Let m(k) = 2*k**2 - 4*k + 3. Let p be 126\/(-24) + (-2)\/(-8). Determine p*m(o) + 3*v(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1133266 + -5405?\nAnswer: -1142004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, 1, -0.3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60451, 60463, 60475, 60487, 60499, 60511?\nAnswer: 60523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 64 - 368*b + 7 - 678*b.\nAnswer: -1046*b - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -30, -5 in increasing order.\nAnswer: -30, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17359 - 17053. Calculate the highest common divisor of g and 2652.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**2\/2 - 40*v + 11717. Calculate u(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 50 = 4*v, -3*t + 754 - 2750 = -199*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-7) + 4\/14. Let n(i) be the second derivative of -i**5\/4 - i**4\/6 - i**3\/6 - 2*i. Calculate n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*p**3 - 23395 + 39*p**3 - 2*p**2 - 2*p + 22648 to j + f*p**3 + h*p + a*p**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2779, 2782, 2785, 2788?\nAnswer: 2791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/12 - r**2. Let v(j) = -12*j - 60. Let h(l) = 15. Let p(q) = 4*h(q) + v(q). Determine p(k(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 2 + sqrt(11) + sqrt(11) + sqrt(539) + 1 + sqrt(11) + (1*(sqrt(22) + sqrt(44)\/sqrt(2)))\/(sqrt(2) + 2*sqrt(32) + sqrt(2)))**2.\nAnswer: 546*sqrt(11)\/5 + 91316\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*d - 48, 2*d = 6*d + w - 64. Suppose -d*u + 130 = -23. Suppose 0 = n + 5. Sort -1, u, n, 5 in ascending order.\nAnswer: n, -1, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3 (b) -55 (c) 1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29640*y**4 + 4032*y**3 - 1391069422*y**2?\nAnswer: 711360*y + 24192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*p**4 - 4*p**3 + p**2 + 4879*p wrt p.\nAnswer: -5100*p**2 - 24*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*c - 4095, -116 = -c - 2*w + 715. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327*j**4 + 1578*j**3 - j**2 - 599398*j - 1 wrt j?\nAnswer: -7848*j + 9468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c (base 15) in base 16?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 214*g**3 - 11232*g**2 + 23328*g.\nAnswer: -g*(g - 2)*(g + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 2*s**2 + 4*s + 6. Let l be v(4). Let r = -2 - l. Let x be 24 + -21 - (0\/1 + -3). Solve -x*c + 2*c = r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(325) + sqrt(325)*4).\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 4*l - 5. Let j be f(4). Let o = j + 45. Calculate the remainder when 4\/(o\/99) + (-13)\/26 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 1. Calculate the highest common factor of h and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 8 - 1 - 772296\/(-78149)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39675841 divided by 39675841?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25570.323 microseconds in days?\nAnswer: 0.0000002959528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Solve -d*p = -0*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175.7 + 168. Let d = j - -8. Put -0.5, d, 3\/4 in decreasing order.\nAnswer: 3\/4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(17) - sqrt(17)) + 0)**2 + 3 + 0 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20))\/((-93)\/(-15) + -7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -4*w + w, -3*w + 1 = j. Let s(l) = 46*l - 5 + j + 36*l. Is s(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24067.369 + -24078. Let f = y - 0.269. What is f rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 4568172*a - 4573529*a to v*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(704) - (sqrt(704) - (sqrt(704) + 1))) + -5 - sqrt(704)) + 0 + sqrt(704) + 1)**2 + -4.\nAnswer: -48*sqrt(11) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*-28135\nAnswer: -7596.45","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 6*a - 2. Give y(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3118 * -0.3.\nAnswer: -935.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 9. What is k(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*w + 9, 4*w + 6 = 2*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmigjigimgmimimiii. Give prob of picking 1 i and 2 m.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-153906)\/(-2) - (-558)\/(-279).\nAnswer: 7, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a7 (base 14) in base 9?\nAnswer: -1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -8c45?\nAnswer: -8c3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2)*3)\/sqrt(6))\/(2*(sqrt(18) + sqrt(2)) - -4*sqrt(8)\/sqrt(4)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 + 3795*t**2 - 3808*t + 20229. Give h(1264).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17122 - -55621.504.\nAnswer: 38499.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l + 22*l - 354 = -15*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k**3 + 27*k + 30*k**3 + 26*k - 12*k**3.\nAnswer: -37*k**3 + 53*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:58 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from fdfydyyffy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 2*p**2 - 2*p + 2. Let w be u(4). Suppose -5*g + w = -16. Solve -3*i + 6 = -g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3 + 64940*v**2 + 527085504*v - 1054430784 = 0.\nAnswer: -16236, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306968 is divided by 7704?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*k = 964, -5*k + 639 + 280 = 4*u. What is the remainder when u is divided by 66?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318 - -441. Calculate the greatest common factor of g and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 14*s - 19*s - 3*d, -3*d = -4*s - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 15208.6 and -101857.\nAnswer: -86648.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 53\/6. Let d be 67293\/3282*1*-1. Let c = 2\/547 + d. What is the common denominator of c and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 707 and 45892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 42*q - 27. Let c(f) = -6*f + 4. Let y(l) = -27*c(l) - 4*g(l). Let s(d) = 2*d. Let n(o) = 10*s(o) + 3*y(o). Let t(i) = -i. Calculate t(n(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 30*f + 1 - 31*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 69 = -5*q, -q + 5*d = -3 - 4. Let b(w) = -3*w + 67. Let h(a) = a - 5. Let j(g) = -b(g) - 7*h(g). Does 20 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 33\/20*f**5 + 0 + 56*f**2 + 363\/8*f**4 + 0*f + 1331\/2*f**3 + 1\/40*f**6. Find d, given that w(d) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101713.\nAnswer: 353, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 89 + 84 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6772)\/(-101580)*-6*18\/4\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/119 - (536\/14)\/(-2). Solve t*p - 1 = 18*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 3. Let x(v) = 10 + 20 + 12 + 12*v - 49. Calculate 15*u(o) - 6*x(o).\nAnswer: 18*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*k - 3*k**2 + 1 - 9*k**4 + 10*k**4 to the form l*k**3 + c + o*k**2 + v*k + t*k**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 10 - 72)*(-2*w - 2*w + 0*w)*(4 - 4 + 3).\nAnswer: 1032*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2511 - -2603. What is the highest common divisor of 7498 and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 16*t**2 - t - 20. Let i be f(16). Find the common denominator of (5 - (-582)\/i)\/1 and -1\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 2) + (-5 - (-1 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021804 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - (-609)\/9. Let h = m - 6. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 9*l - 20, 5*v - 599*l = -601*l - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*o + 2*o - o)*(-3 - 7 - 2)*(o**2 - o**2 - o**2).\nAnswer: 12*o**3 - 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-916)\/8 - -116)*(-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 31*o + 155. Let l be d(25). What is the common denominator of 0 + -1 + -2 + (-2272)\/l and (78\/16)\/(1\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2574*o + 7738*o - 2580*o - 2579*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/16 (b) -0.2 (c) -13 (d) 0.1 (e) 5 (f) -1002 (g) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488816 and 924.\nAnswer: 16376976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.563356 to 1 decimal place.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 + -206.164. Let n = w - -3.164. Which is the second smallest value? (a) 0.2 (b) n (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -15*k + 220, -13*c + 20*c - 4*k + 85 = -7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1775*p**2 + 5348*p + 42. What is n(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -110892, -111237, -111582, -111927, -112272, -112617?\n\"Answer: -345*r - 110547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0393262 and 0.4?\nAnswer: 0.4393262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwfwwifwpfwwppwijp. Give prob of sequence wjw.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 520894025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 9*h - 18. Let g be p(10). Let j = g + 12. Suppose -o = -0*o - j*d + 16, -2*o = 2*d - 18. Put o, -1, 0, -5 in decreasing order.\nAnswer: o, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 149 - 124 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**4 - 15*w**3 + 5*w**2 - 5*w. Let a(n) = n**5 - n. Let x(l) = -5*a(l) + y(l). What is b in x(b) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + 1 + -5*(1*sqrt(2448) + -4 + -2)))**2*1.\nAnswer: -69120*sqrt(17) + 999936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 6. Suppose x = 4*s + 14, -2*s - 2*s = 3*x + 6. What is the derivative of -k + 2*a**2 + a**2 - 2*a**x wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -120*z**2 + 3 + 14*z + 3 + z**3 + 109*z**2. Let h be j(10). Let a = 51 - h. Solve 0 = m + a*n - n - 20, -m - 10 = -2*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*c - 626, 476*c - 478*c - 1228 = -4*g. Calculate the smallest common multiple of 242 and g.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(5103))*4*4)**2.\nAnswer: 497664*sqrt(7) + 47038464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -2425*n**4\/6 + 47*n**3\/6 + 43*n**2. Let d be t(7). Let r = d - 60147. Round r to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y + 3*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524*p**2 + p + 1804.\nAnswer: 1048*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - k - 10. Let a be x(-3). Suppose a*p - 10 = -4*f, -5*p + 2 = 5*f - 23. Suppose -138 = -p*i - 18. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 3*x - 5*x**2 + 12*x - 4*x**2 - 3*x - 6*x.\nAnswer: -5*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 + 30*h**3 + 2*h**2 - 51*h**3 - 2*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6609913270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = a + 6, 3*a + 28 = -4*g. Let n be a\/20 + (-42577)\/20. Let v = 2112 + n. What is the common denominator of 101\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*u - 213 = -3*u, 4*u - 4 = 0. Let l = w + -51. Solve 4*z - 4 = -3*g + l*g, -3*z - 4*g = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 18 - (-56 + (16 - -29))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-3))\/((-35)\/(-21) - 2). Let d = 64 - 60. Suppose 24 - 244 = -d*p. What is the highest common divisor of p and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814108 is divided by 28344?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36172*m + 18084*m - 6529*m**2 + 18088*m)*(-2*m**3 + m**3 + 0*m**3 + m**3 - 2*m + 2*m + (2*m - 1 + 1)*(2*m**2 - 2*m**2 - m**2)).\nAnswer: 13058*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 34*h + 1454. Let n(w) = 12*w + 1. What is 3*n(o) - v(o)?\nAnswer: 2*o - 1451","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.3 (c) -1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -19*r + 117 + 121. Calculate the least common multiple of 2875 and r.\nAnswer: 17250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from {m: 1, n: 12, l: 2, a: 2, p: 2}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q + 6317 = 34*q + 5579 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 8. Let m(g) = -3*g - 5. Let x(h) = -h + 3. Let p(j) = -m(j) + 4*x(j). Let z be p(u). Is z less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3539945 + -507958?\nAnswer: -507958.3539945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 6, 0.01?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530544305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7822*a**3 + 15630*a**3 - 7815*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 30*r - 230 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601210 (base 14) to base 12.\nAnswer: 10b9326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31340214 divided by 34.\nAnswer: -921771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 + 1737\/63 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5861, -6090, -6319, -6548, -6777?\nAnswer: -7006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78 + a185?\nAnswer: a10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 12. Let d(b) = -5*b**3 - 10*b**2 - 7*b - 5. Let h(v) = -11*v**3 - 20*v**2 - 15*v - 9. Let o(x) = -13*d(x) + 6*h(x). Is 7 a factor of o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 + -203\/2. Factor 3*l**2 + 0 - b*l - 3\/2*l**3.\nAnswer: -3*l*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*l - 3 + 2 + 5 - 3 + 103*l.\nAnswer: 57*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 + a**2 - 37*a**2)*(0*a + 0*a + a) to m*a**2 + x*a**3 + k*a + r and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Let a(s) = -s**3 - 8*s**2 - 10*s - 1. Let i be a(-7). Let g = -12 + i. Solve u = 5*n - g - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*f + 15 = 0, 2 = -2*c - 2*f + 8. Suppose -5*d + 20 = 4*u - 272, 219 = c*u - 5*d. Suppose -5*m - 18 = -u. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from {g: 3, s: 5, v: 2}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 = 814\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxgggggxxgxv. What is prob of sequence vg?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let b be d(2). What is the second biggest value in 2\/15, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117851 or 117849?\nAnswer: 117851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = o - 2, -3*o - 304388 = t - 304386 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2514.65 - 816.72. Let i = d - 1706. What is i rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = 0. Suppose -3*q = 4*p - 11, s = q + p - 2 - 0. Let m be q + (-54)\/(-15) + 0. Is 0 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:50 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -38 + -5 + 2 + (-846)\/94?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, -237, -4, 106, 2, -15 in descending order.\nAnswer: 106, 2, -3, -4, -15, -19, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(10\/(-24)*-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let y = x + 5. Suppose -y*i = 2*b + b - 40, b + 4*i = 30. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102000 - 12?\nAnswer: 101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54552, -54530, -54494, -54438, -54356?\nAnswer: -54242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/24*1935\/(-75))\/(6\/3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011110001011 + -101110?\nAnswer: -100001011110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or 399\/809?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*h - 7*h. Suppose 5*d + 88 = -w + 337, -h*d + 2*w = -237. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6948852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 761355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/66)\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.7153nm in millimeters?\nAnswer: 0.0008227153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.473363 + -0.873344. Let a = -1.53 + -0.07. Let g = a + b. What is g rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 14) in base 5?\nAnswer: -4013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/9, -76, 2\/5, 8, 9\/25 in ascending order.\nAnswer: -76, -2\/9, 9\/25, 2\/5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*i = 8, -5*u + 4*i - 3*i + 2 = 0. Suppose 5*d = -u*d + 40. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -3, 8251 in ascending order.\nAnswer: -9, -4, -3, 8251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5 - 3 - 2 - 3*o**2. Let j(c) = -8*c**2. Let a(q) = 11*g(q) - 4*j(q). Let d(n) = 3*n. Give d(a(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -110201140 (base 5) to base 7\nAnswer: -4016223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 - 141. Let y = -21 + q. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2587 + 2605. Let w(s) be the third derivative of s**5\/60 + 5*s**4\/24 - s**3\/2 - s**2. Let a be w(-11). Calculate the greatest common factor of a and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3448948 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -201, -195, -189, -183, -177?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let m(i) = 1. Let t(z) = 7. Let o(l) = 6*m(l) - t(l). Let w = 7 - -10. Let f = 18 - w. Determine f*o(q) + d(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 197733632?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -7. Let x = g - -13. Let p = 23 + -18. Calculate the highest common divisor of p and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/20 + 11*c**4\/12 - 7*c**3\/3 - c**2 + c. Let l be g(-12). What is the highest common factor of l and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e + -46e5?\nAnswer: -4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:18 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.4536 litres to millilitres.\nAnswer: 27453.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-7938)*-18)\/1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -99683 at least as big as -99806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 47*y + 280 = 0. Let n be (-4)\/(-10) - (-50722)\/y. Suppose 5*r + 5*q = n, -4*q - q + 580 = 4*r. List the prime factors of r.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 20.5. What is the nearest to 0 in -3\/5, 1\/6, d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from pdpddqddphqppdhqqp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 8*w + 3. Let f be m(-8). Let g(q) = 4*q**2 - 3*q - 8. Let o(c) = -9*c**2 + 6*c + 17. Let p(k) = f*o(k) + 7*g(k). Calculate p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430399?\nAnswer: 7, 490057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 2, b: 1, d: 1, n: 6}. What is prob of sequence jdbs?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r + 710 = 114*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31478718 and 15.\nAnswer: 157393590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -14*z**2. Let d(x) be the second derivative of -3*x**4\/2 - x**2 + 103*x - 2. Determine w(d(j)).\nAnswer: -4536*j**4 - 1008*j**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 3*l - l + (4 - 1 - 2)*(67 + 89*l + 93*l - 184*l).\nAnswer: l + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (2305*-2 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6278732593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**2 + 6*v**2 + 3*v**2 + (2 + 0 - 3)*(2*v**2 + 3*v**2 - 3*v**2) - v**2 - 3*v + 3*v + 0*v**2 - 3*v**2 + v**2 + 0*v**2 + v**2 - 3*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 5*z + s, -z + s + 67 = z. What is the remainder when 234 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 10 (c) -1 (d) 3 (e) 157\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lldl when four letters picked without replacement from {l: 10, d: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -49*h**2 - 1751*h - 79. What is w(0)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1750 divide 191430750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 5*l**2 - l - 7. Let f be x(5). Let a = 9 + f. Let n(i) = -2*i**3 + 3*i**2 - 4*i - 2. Is n(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2553 and 10488.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-2)\/(0 + -2)). Suppose -2*a + 4*r = -a + 12, 11 = -a + z*r. Let l be (0 - 1)\/(a\/16). Solve 0 = -l*v + 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, b: 4, s: 1}. Give prob of sequence jbjs.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 9*h**2 + h - 8. Let n be d(9). Let v be 1\/(n\/(42\/(-15))). Let w = v - -23\/10. What is the smallest value in w, -4\/3, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/24 - u**3\/6 - 4*u**2. Let a be y(-6). Suppose a = -z + 16. What is the least common multiple of z and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from qapzfnnnzqna?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3540)\/(-1062)*(-3)\/180.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29141011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -20*b**3 - b**2 - 4*b - 1. Let d(u) = 58*u**3 + 3*u**2 + 12*u + 1. Let y(j) = -6*d(j) - 17*k(j). What is the second derivative of y(x) wrt x?\nAnswer: -48*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27445267 greater than or equal to 247007396\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -29 - (-1 - -18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let q(o) be the third derivative of 37*o**5\/10 + 128*o**2. Calculate j(q(y)).\nAnswer: -98568*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/733 - -64156\/25655. Let b = g + -16\/7. Solve -b*y + 1\/5 - 2\/5*y**2 + 2\/5*y**3 + 1\/5*y**4 - 1\/5*y**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 + 2. Let n = -2 - -7. Sort m, n, -2 in descending order.\nAnswer: n, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2115761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 163703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -23482\/27 equal to -869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*v + 23*v**2 - 23 + 498*v + 46*v**2.\nAnswer: 69*v**2 - 1232*v - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13458990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:40 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18592)\/(-249)*(-3)\/(-2). Suppose 3*m = -2*b - b - 111, -5*m - 65 = 2*b. Let n = o + b. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*t**4 + 53*t**4 - 29*t**4 + 45*t**4 - 114*t**2 wrt t?\nAnswer: 4416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e2 + 339?\nAnswer: 71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 - (-30 - -6 - (-20 + -2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 169\/367? (a) -5 (b) -2\/11 (c) -2\/15 (d) -0.1 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.71 times -3?\nAnswer: -56.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -213649331 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -31904 = -31905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 95 = -5*x + 7*x, 4*x - 187 = 5*i. Find the first derivative of -893*j**2 + x - 16 + 994*j**2 wrt j.\nAnswer: 202*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 14 - 4 = -j, 72 = 4*j - l. Is 50748\/j*(21\/6 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4902 or 44116\/9?\nAnswer: 44116\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 184 - -1a891?\nAnswer: 1aa35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-235)\/(-25) + (-4)\/10 - -3. Which is bigger: r or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 5*b**2 + 6*b - 10. Let w be i(1). What is the second smallest value in w, 5, 3\/85?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2. Let l(r) = 20*r - 65. Let h be l(3). Let k(v) = 3*v**2 + 3. Let x(m) = -7*m**2 - 5. Let w(c) = h*k(c) - 3*x(c). What is y(w(i))?\nAnswer: 252*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 45. Let c be (-6 + 8)*(q - -1). Let p be (5 - (7 + c))\/(-1). What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let q(i) = 0*i**2 - 4*i**2 + 954 - 954. Calculate q(k(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200 (base 4) to base 2.\nAnswer: 100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/35721 and -79\/38626308.\nAnswer: 115878924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4363384585 - 523609845257\/120. Let d = h + 92380\/3. Find the common denominator of d and 99\/26.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + -2 + -7 + (753 - 751).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.86 times -0.2?\nAnswer: 3.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620592771 to the power of 1\/3, to the nearest integer?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21541814?\nAnswer: 2, 7, 1538701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + 71. Let t = -95 + n. What is the nearest to t in 3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 44*y - 20. Which is the nearest to -1\/5? (a) 0.5 (b) y (c) 7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 8991493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**4 - f**3 + f**2 - 1. Let n(b) = 817*b**4 - 5*b**3 + 5*b**2 + 610. Let c(a) = -5*i(a) + n(a). What is the derivative of c(u) wrt u?\nAnswer: 3208*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, v: 4, b: 5}. What is prob of picking 1 g, 2 b, and 1 v?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 w when three letters picked without replacement from {w: 8, k: 3, t: 2, l: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.011 + 0.189. Sort 3, c, 5\/6, 2 in ascending order.\nAnswer: c, 5\/6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40693573 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**5 + 5*m**4 + 29*m**2 - 5*m. Let d(o) = -o**6 - o**5 - o**4 + o**2 + o. Let h(j) = 5*d(j) + l(j). Find the third derivative of h(w) wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*sqrt(51) - sqrt(51)) + sqrt(51))\/(sqrt(192) + sqrt(192) + (sqrt(192) - (sqrt(192)*-1 + sqrt(192)))).\nAnswer: -29*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/2, -1, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*-2 - (sqrt(19) - sqrt(2736)*-1).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/13 - 27\/52. Factor 0*u - i*u**2 + 0.\nAnswer: -u**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + (14973\/(-21))\/23.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 63.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1568)\/2352)\/((44\/18)\/2)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehxhxxehxxhx. Give prob of sequence exx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281681 and 432617?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 - 27 = 0. Suppose a = 2*d - 4. Let h = -6 + d. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z. Let j be (-58)\/(-14) + 3\/(-21). Let f(x) = 0*x**2 + 4*x**2 + j*x**2 - 5*x**2. Give f(t(r)).\nAnswer: 192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.5 - 5. Let p = n - 0.5. Let g = -5080.9 - -5081. Sort g, -5, p, 5.\nAnswer: -5, p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 21*f + 14. Let b(w) = w**2 - 20*w + 5. Determine 4*b(u) - 3*k(u).\nAnswer: -2*u**2 - 17*u - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11173305 is divided by 1186?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*5\/(-15))\/3*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1171955 divided by -5.\nAnswer: -234391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/4 + 48067*b\/2 + 1729116 = 0. Calculate b.\nAnswer: -96062, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**5\/120 - v**4\/8 - v**3\/3 - 2. Let q(f) be the third derivative of d(f). Let a(t) = 15*t - 9. Let i be a(1). Give q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4060164 - 0?\nAnswer: -4060164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:04 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 - ((298 - 306) + (1 - 3))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 139, 4, -1371, 24\/13.\nAnswer: -1371, -3, 24\/13, 4, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2. Let k(p) = p**2 - 3*p - 5. Let g be k(5). Suppose 3*t = 1 + g. Let m(z) = -4 - 7*z**2 + t + 2. Give m(r(v)).\nAnswer: -112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 127*t + 100. Give a(3).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(99) + 3*(sqrt(99) - sqrt(99)*-2) + sqrt(99))\/sqrt(9)*2)**2 + -4.\nAnswer: -132*sqrt(11) + 5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18603 is divided by 4649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12391m in nanometers?\nAnswer: 1123910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/21)\/(10\/(2\/2)))\/(47\/(-2115)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20344.86 and 2021749.3.\nAnswer: 2001404.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.16477 less than 0.0305?\nAnswer: -23.13427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1996052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2455302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 257 divided by -3\nAnswer: -257\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*s - 199*s + 739259 + 6795541. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, -32.4, -6.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6 - 34. Suppose 0 = p - 3*u - 304 + 295, 0 = 3*p + 5*u - 41. Put 4, o, -1, p in descending order.\nAnswer: p, o, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/6 - 7*a**3\/6 - 15*a**2\/2 - 148*a. Let t be l(5). Solve -5*g + 20 - 10 = t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7067223 is divided by 471147.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3594318 and 8526?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1826402 - 847675. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((4 + -14)\/5)\/((-2)\/3). Suppose -h*o + 6*o = 66. Let x be (o\/10 - -1)\/(8\/20). Solve -d - 4*c = -2*d - x, d - c = -2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -331\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from docddos. What is prob of picking 1 d and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 5 - 14 = -1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/420 + p**5\/70 + p**4\/42 + p**2 + 21. Solve n(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 30*o = 4*d - 8, 2*o - 8*d = -16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let k(r) = -96*r + 280. Let w be k(3). Sort t, w, -4.\nAnswer: w, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (26 + -47 - -35)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 0. Let z(h) = -h**3 + 2*h**2 + 4*h. Let p be z(3). Let w(o) = -2*o + 3 + p*o + 0*o. Calculate w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.1, 0.5, -4, -1 in ascending order.\nAnswer: -4, -1, -0.1, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 74, 177, 344, 587, 918?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1108601718 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 76. Suppose -5*j - 62 + 197 = u. Let n be 3 + 8 + 12\/4. Solve -y = -0*y + 3*l - n, -3*y + j = 4*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at least as big as -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6786.000000074 - -6786. What is m rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/(-130)*-4*(-40)\/(-192)*87\/116\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**4 + 201*a**2 - 201*a**2 + (7*a - 11*a**2 - 7*a)*(5*a**2 - 4*a**2 - 2*a**2).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*n + 2*h, 10*n - 13 = 9*n + 3*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 378.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 108\/379 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:23 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/33)*(c\/(c\/(c**11*c)))\/c)**(-3\/29) assuming c is positive.\nAnswer: c**(-365\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17103, 68438, 153989, 273750, 427715?\nAnswer: 615878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 (base 11) in base 15?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r + 32. What is x(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(12)*1))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:52 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 88. What is the remainder when 5*-1 - 648\/b is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 4*k - 2*k**4 + (3*k**3 - 3*k**3 + k**3)*(-4*k + 0*k + 3*k) + (2*k**3 - 3*k**3 + 0*k**3)*(k - 3*k + 3*k) - k**4 - 4 + 4.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**5\/10 + p**4\/4 - p**3\/6 - p**2\/2 + 676. Factor q(s).\nAnswer: s*(s - 1)*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 12*m - 1. Let x be c(10). Let f = x - 15. Suppose 5*k = -4*u + 161, f*u + k - 152 = 5*k. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let t(m) = -29*m + 21*m + 2*m - 24. Determine 24*n(q) - t(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 111659 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3. Let q(m) = 4*m**3. Suppose 72*b + 147 = 435. Give b*q(r) + 5*x(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23099.\nAnswer: 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2282, 2456, 2718, 3062, 3482, 3972, 4526?\nAnswer: 5138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 18. Suppose -r - i = -5*r + 11, -o = 2*i. What is the units digit of (1\/r)\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2129 in descending order.\nAnswer: 2129, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7)\/(q\/q**(-5\/7)))\/(q**(-1\/19))**(-23))**33 assuming q is positive.\nAnswer: q**(-12210\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2625 - -3214?\nAnswer: 5840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39312852 - -39312848.6000023. Let m = 3.4 + p. What is m rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 1, y: 11}. Give prob of sequence yyy.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (130\/26)\/(6855\/(-6)). Which is the nearest to g? (a) -0.1 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1980 (base 11) to base 9\nAnswer: -3386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + c = -3*q + 266, 3*q = -2*c + 268. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9211.37 tonnes?\nAnswer: 9211370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35252395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -4)*2*-16*7\/(-112)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15868164 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3619 + 86455 = -291*o - 1113*o for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 1 - d)*(-7*d + 0*d + 3*d).\nAnswer: -16*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 3*l**4 + l**4)*(-3 + 4 + 1) + 2*l**4 - 3*l + l - 1 + 2.\nAnswer: 4*l**4 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367 + -127. Calculate the lowest common multiple of l and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**3 + 2284*r**2 + 1520*r = 0. Calculate r.\nAnswer: -380, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-17) - (1440\/(-34))\/20. Put -24, -4, s, 3 in descending order.\nAnswer: 3, s, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 2*p**6\/15 - p**5\/30 - 2*p**4\/3 - 8*p**3\/3 + p**2. Let g(f) = -f**3 + f + 1. Let t(l) = -36*g(l) - 2*h(l). Factor t(x).\nAnswer: 4*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 22*l**3 - 2*l. Let j(d) = 2*d**3. Give 36*j(i) + 2*k(i).\nAnswer: 116*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2\/8 - 1509*s\/4 - 25680 = 0.\nAnswer: -64, 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.0938 litres?\nAnswer: 45093.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -78. Let p = y + -39.929. What is p rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556358447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 34 = -4*u + 2*u, -7*u - 98 = -5*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -30?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w**3 + 6*w**2 + 10*w + 4. Let n(o) = -o**3 - 5*o**2 + 25*o + 4. Let y be n(-8). List the prime factors of s(y).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352165, 352164, 352163, 352162, 352161, 352160?\nAnswer: 352159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5*o**2 + 6*o + 6. Let x(a) = -3*a**3 + 14*a**2 + 17*a + 17. Determine 17*r(b) - 6*x(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllsstlqtsdllqqt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701873 is divided by 3080?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.13 + 13. Let o = 0.08 + m. Round o to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*u = -8, 2*u - 55*u = t - 11*u + 46*u + 357 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - t = 7, 8 = w - 3*w - 2*t. What is the closest to 0.14 in 0.5, 4, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195720193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + -1.7. Let u = b + 1.8. Let l be (-75)\/90*(-8)\/(-10). What is the closest to u in 6\/11, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23a + -29?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/450130259?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1 - 2 + 0*r - 11*r - 5. Let o(i) = -4*i - 3. Determine 3*d(c) - 8*o(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-16))\/(4\/(-16)). Let z be 85\/4 + -2*o\/(-24). Suppose -160 + 50 = -5*h. Are h and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1171068 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65144 is divided by 60.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 8. Let o be i(-6). Let x = -16 - o. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*v - 1084 = -1122, 1 = -d + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 897123, 897194, 897265, 897336, 897407?\n\"Answer: 71*f + 897052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -2\/3, -4\/7, 17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18 and 1\/3513142.\nAnswer: 31618278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 45*o + 10. Let w(k) = -1. What is b(q) + 5*w(q)?\nAnswer: -2*q**2 + 45*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from zxzxzzzzzzzx.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 22. Let x be r(23). Let u = 4.92 - -0.08. Let z = 2886 + -2886.5. Which is the nearest to x? (a) 3 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247 (base 16) in base 8?\nAnswer: 21107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 622*t + 9945. Let a be j(-16). Let b(n) = 2*n**2 + 24*n + 10. Determine b(a).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 794032640 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17119 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -3. Let q(p) = p**2 + p - 31. Let v be q(5). Let y be v\/3 + (-220)\/(-12). What is the greatest common divisor of y and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007193859 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (2 - (-15)\/(-5)). Factor 6\/7*u - 3\/7 - 3\/7*u**z.\nAnswer: -3*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -5*z**4\/3 + 13*z**3\/2 - 11*z**2. Differentiate j(q) wrt q.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 755680*u - 35690766400.\nAnswer: -4*(u + 94460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 4, v: 1, i: 1, g: 4, p: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -7*b**5\/20 + b**4\/8 + b**3\/3 - 2*b**2 + 86. Calculate z(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -214541 not equal to -4290831\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 130056891 divided by 43352297\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - 18*i - i**2 + 16 - 17. Let k be a(-10). What is the greatest common factor of 87 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/14)\/f)\/f**(-3\/5))**(-2\/27) assuming f is positive.\nAnswer: f**(43\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6835, 6286, 5369, 4084, 2431, 410, -1979?\n\"Answer: -184*f**2 + 3*f + 7016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2842859*s - 13. Let j(q) = 13 - 7 + 3*q + 8. Let x be j(-7). Let z be l(x). Round z to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 + 4*k**2 - k - 2. Let n be z(-1). Suppose -2*f + n*o = 7*o - 114, 4*o = 4*f - 232. Solve -1 = -11*l - f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1232 or 1?\nAnswer: -5\/1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -208130*-44\nAnswer: 9157720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = 0. Let p be 1 + (-8)\/((-16)\/6). Sort u, p, 5.\nAnswer: u, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 21*s + 8. Let m(c) = -3*c + 1. Let z(d) = 3*m(d) + r(d). Let x(w) = 3*w**2. Determine z(x(y)).\nAnswer: 36*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 32*f**2. Let b(j) = 3*j - 4. Let n(h) = -10*h + 14. Let z(q) = -7*b(q) - 2*n(q). Determine z(i(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105 - 0?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 - 36\/10. Suppose 2*f = -s - 18, 0*s = -2*f - 5*s - 26. Let h = j - f. Solve -h*o + 6 = -6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158.757 or 95?\nAnswer: 158.757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-3) + -1)*0. Suppose -79*h - 237 = -80*h. Suppose d = -2*z - z + h. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 18, 23, 20, 3, -34, -97?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25\/629 + 8903\/113220. Find the common denominator of b and -173\/1230.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -435270 divided by -2?\nAnswer: 217635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {e: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(-1 + 0 + 3)*(1 - s - 1)*(10*s - 11*s + 19*s).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*g + 1. Suppose -f + 4*f + 14 = 4*y, 4*y = f + g. Suppose y*w - 124 = -5*l, 2*w - 62 = w - 4*l. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2133.43.\nAnswer: -4266.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 55?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84599 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/11))**(3\/14) assuming j is positive.\nAnswer: j**(3\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-171)*7\/(112\/(-180)))\/3*-32.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2976 and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10111001?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4824 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z + 740. Let c be s(-43). What is the highest common divisor of c and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*t = -8*s - 29, 0 = -3*s + 4*t - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -78 + -23?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9722, 8910, 6694, 2366, -4782, -15458, -30370, -50226?\nAnswer: -75734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 5*h + 5*l + 4249, 2*h - l + 1702 = 0. Let j = h - -987. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1)**(6\/5)\/((s*s**3*s)\/(s\/s**6*s)) assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 6*u + 13. Let m = 14 - 60. Let y = m - -39. Let z be b(y). Solve z*q - 15 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -9) + 9 + -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*((-2)\/4 - 0)*(-1)\/(-1). What is the nearest to -3 in o, 6, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 14. Let p be 4*3\/48 - (-11)\/4. Suppose 91 = 4*l + p*l. Let v be l + -11 - (-8 - 0). What is j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811037683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 - w. Let r(x) = -14*x**3 + x**2 - x. What is q(g) - r(g)?\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81915055.\nAnswer: 5, 811, 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -21*o + 12. Let s(z) = -20*z + 15. Let d(a) = -5*g(a) + 4*s(a). Let q(y) be the second derivative of -y**4\/6 + 24*y. What is d(q(u))?\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35244?\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 27. Suppose -3*p = 3*s - r, 0 = -4*s - 5*p + 9*p + 12. Solve -s*i + 1 = -5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((1 + sqrt(2))*-2 - sqrt(2)))**2*1 + ((sqrt(2) + sqrt(8)\/sqrt(4))*-6)**2 + (sqrt(12)\/sqrt(6))**2 + -5)*-2.\nAnswer: -1274 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 240\/(-96)*(-218)\/110 and -97\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 421, 631?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4832902 is divided by 134246?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 + -5 - (25 + -26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1. Let d(c) = 3*c + 10. Determine -d(x) - 2*n(x).\nAnswer: -3*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 19*f**2 - 27*f + 26. Let l = -361 + 372. What is the tens digit of j(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 48 = 0. Suppose 2*z - a = -4*u, 10 = -5*z - 2*u + 6*u. Solve -z*q - 1 = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:49 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**2 + 2*x**4 - 8*x**2 + (1 + 0 + 2)*(0 + 3 - 1)*(-3*x**4 + 3*x**4 - x**4) to the form t*x**4 + s + m*x**3 + o*x**2 + d*x and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 5*p + 1. Let b be w(2). Suppose b*x - 11*x + 56 = 0. Let a = -3 + 17. Calculate the highest common divisor of x and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415215 divided by 83043\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1741 or 1740?\nAnswer: 1740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -r. Let d = r - 13. Let c = 0 - d. Solve -c*i - 2*a + 18 = 0, 0 = -3*i - 2*i + 4*a - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 5*i. Let j(d) = 5*d**2 - 21*d. Suppose -a + 0 = 3*b + 5, 0 = -2*b - 3*a - 1. What is b*j(g) + 9*f(g)?\nAnswer: -g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12 - 81*o + 67*o + 76*o. Is 17 a factor of i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125457708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 - (11 + 1 - -11682*57\/(-49248))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 318 = 5*o - 3*b + 17*b, 984 = 2*b - 14*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*k = 210. What is the remainder when 59 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/34*189\/(-81)*2.\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167562 rounded to the nearest one thousand?\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 5*l + 3*l + 45 + 0*l to the form m + q*l and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 28*z**2 - 53*z - 30. Let q(n) = -21*n**3 + 195*n**2 + 372*n + 210. Let s(c) = -4*q(c) - 27*v(c). Solve s(a) = 0 for a.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 70\/50*10\/4. Which is the nearest to 2? (a) 9 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94762344*p**2 - 311054246*p wrt p.\nAnswer: -189524688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d = -540. Let u be (-2)\/9 + (-25)\/9. Let y be u\/d + 4\/18. What is the smallest value in -1, 3, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 8. Suppose -2*n - 40 = -6*n. Is g(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1255880 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*g + 2862*g**3 - 2884*g**3 + 69*g**2 + 15*g**2 - 168 + 49*g**2 + 5*g**2.\nAnswer: -2*(g - 6)*(g + 1)*(11*g - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 + m - 2. Let g(x) = -4*x**2 + 2*x - 2. Let w(q) = 3*g(q) - 2*v(q). Solve w(h) = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -3. Suppose 3*z = i*g + 174, -z + 132 = z + 2*g. Suppose v + 3*v - 159 = 3*p, -2*v + z = 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: What is -7.23649782 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1480638 divided by -6\nAnswer: 246773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -3*h**2\/2 + h - 5. Give c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25251?\nAnswer: 3, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(66) + -2*sqrt(66)))\/(-5*sqrt(150)).\nAnswer: -3*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -0.14.\nAnswer: -0.3, -0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*m + 10 = 0, 0 = -2*y + 5*m + 5 + 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4.6. Let f = m + -0.4. Let w = f + 4. What is the smallest value in -3, 5, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x + 0*x - 6*x**3)*(-11 - 4*x + 11).\nAnswer: 32*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -922564*-0.6\nAnswer: 553538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1445 divided by -4.\nAnswer: 1445\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k + 45. Let i be (-597)\/(-12) - (-1)\/4. Suppose 2*q = 7*q - i. What is the greatest common factor of k and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -74. Suppose 4*h - 12 = -o*g + 9*g, -3 = -3*g - h. Solve -6*j - 21 = -3*j - 3*w, 5*j + 3*w + 11 = g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -69. Let l = c - 38. Let m(z) = 2*z + 4. What is m(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -42*f + 1. Let z(m) = m**2. What is z(n(c))?\nAnswer: 1764*c**2 - 84*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilkp when four letters picked without replacement from {x: 1, i: 1, p: 2, l: 1, k: 4}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 5*a + 0*a + (1 - 2 + 0)*(6*a + 0*a + a))*(1 - 2*a - 1).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195208?\nAnswer: 2, 13, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(1 - -3)*4. Calculate the highest common divisor of 64 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + sqrt(320) + (sqrt(320) - (1 + sqrt(320))) + sqrt(320) - sqrt(800)\/sqrt(10))**2 + -3.\nAnswer: -56*sqrt(5) + 3918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 2. Let a = -5.46 - -662.46. Let b = 656.8 - a. Sort b, -2\/3, i, 1\/2 in decreasing order.\nAnswer: 1\/2, b, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, -26, -585, -1878, -4199, -7842?\n\"Answer: -49*x**3 + 74*x**2 + 2*x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + 2*g)*((1 + 1 - 1)*(-g + 6*g - 3*g) + 19*g + 113 - 113).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20462 is divided by 590.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 16, 27, 74, 175, 348, 611?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3*v**7\/7 - 2*v**3 + 28*v - 8. Let j(h) be the first derivative of m(h). What is the second derivative of j(g) wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -11*x + 10. Let n be k(-4). Let m = n + -46. Solve -b + 4*g = 11, 4*b + m = 5*g - g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.12 (b) 1 (c) 0.4 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-5695*v**5 - 50969 + 25488 + 25481).\nAnswer: 5695*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put together -5225 and -12922.67579.\nAnswer: -18147.67579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 5, s: 3}. What is prob of picking 3 b and 1 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 7172?\nAnswer: 35860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.01633 - 1\nAnswer: -0.98367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.485 - -0.04. Let t = 11.4 - 11. Let v = t - m. Round v to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*m - t = -560*m + 68, 5*t + 30 = 0. Calculate the remainder when -3*((-61)\/3 + -2) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let k = -1 + l. Let n = -19 - -21. Solve -2*f = -k*y - 2, -f + 5 = -n*y + 2*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288997 is divided by 1521.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40679628 by 171644.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 577553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*r - 10, r = 5*n - 109 + 48 + 39 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k + 208. Let v be f(11). What is the nearest to v in 0.4, -1\/42, 4, 1?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1390? (a) -1\/4 (b) -7 (c) -16 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 183 - v**2 - 530 + 27019*v - 13512*v - 334 - 13509*v in the form f*v + y + r*v**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 2024 = 22*r. Suppose r = 3*g + 5*a, -4*g + 75 + 244 = 3*a. Let u = 68 - g. Let d(m) = -m**3 - 9*m**2 - 9*m + 8. Give d(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + 216\/45. Suppose -3*t + 288 = -5*g, -w*t = -t + 3*g - 355. Calculate the greatest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*(-4)\/6*2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1731 = -2*q + 2*j - 1721, -4*q + 9*j = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:02 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -1 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 64390999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 14*r - 14. Suppose 0*t + 5*v + 11 = -3*t, 4*t + 5*v + 8 = 0. Suppose 0 = -t*h + 2 + 4. What is the remainder when h is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2 + 0)*20. Let t = 24 - u. List the prime factors of 3 + 28\/(-12)*(-156)\/t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*u**4 - 11116*u**3 - 8998509*u**2?\nAnswer: -7344*u - 66696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30864\/11 + -2809. Let v(a) = a**2 - a + 1. Let y be v(5). Find the common denominator of (-10)\/(1*(-12)\/y) and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -30.055. Let f = p - -0.05500122. Round f to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/3 - 15*i**2\/2 + 13*i. Find the first derivative of a(r) wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 1. Let x be o(0). Suppose -15 = -4*c + 3*h, x = -c - 4*h - 19. Suppose c = -k + 8 + 11. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.186 + -0.034. Let k = w - -0.71. What is k rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -57*t + 389, 88*t = -5*b + 87*t + 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 145*n**2 + 5*n - 6. Determine r(1).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 700 + -5 + 4 + -1. Suppose -10*d - 8372 = l. Let n = -616 - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/5 and -44\/2197595.\nAnswer: 2197595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487591687.\nAnswer: 67, 239, 92899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11746\/4965 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/11))**(-9\/5))**(-2\/7) assuming r is positive.\nAnswer: r**(54\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.1, 117.1, -4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/4)\/((-5065)\/(-4052))*4\/4.\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.19 + -69. Let u = -1.809746 - s. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/7, -1\/14 in descending order.\nAnswer: 3, -1\/14, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(102 - 58 + 87)*(-5*r + 3*r + 0*r) - 2 + 2 - 2*r.\nAnswer: 522*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 0*r**4 + 2*r**4)*(3*r - 3*r + r).\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3923 or -3925?\nAnswer: -3925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-869747.\nAnswer: 8697.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 1:04 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y - 3*y + (-2*y - 3*y + 3*y)*(0 + 1 - 2) - y - 1 + 1)*(0 + 2 - 1).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244 (base 11) in base 4?\nAnswer: -232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aatbsssssea. What is prob of sequence bsas?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 8*l**2 - 6*l + 8. Let c(b) = 3*b - 1. Determine -11*c(k) + 2*w(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/15)*f*f*(f*f\/(f\/(f\/(f**38\/f))))\/f)\/(f\/f**(-1\/3)*f*f**42*f))**(-5\/11) assuming f is positive.\nAnswer: f**(1192\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 - 6146*b**2\/5 + 188023*b + 946262\/5.\nAnswer: (b - 5989)*(b - 158)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)*v)\/(v**(-10\/9)*v)*v**(-10)\/v*v*(v**(-1\/10)*v)\/v assuming v is positive.\nAnswer: v**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/14 - k**6\/12 + k**5\/4 + 5*k**4\/12 + 10*k**2 + 18*k. Let t(w) be the first derivative of f(w). Factor t(x).\nAnswer: -5*x*(x - 1)*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1, 5, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002807.29 rounded to the nearest 10000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**6\/9 - 26*v**5\/15 - 11*v**4\/2 + 154*v**3\/9 + 98*v**2\/3 - 581. Find t, given that r(t) = 0.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75274607736 and -314.\nAnswer: 75274607422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + i + 129, f - 36 = -i. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-75732\nAnswer: -37866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 534\/7. Let j = 4 + -3. Let i be j\/((-8)\/3)*2. What is the third smallest value in 0, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 66 = 5*f, -4*v + 113 + 123 = -3*f. Let a(h) = -h + 1 - 13*h**3 + 5*h + 2*h**2 - 2*h. Calculate the remainder when v is divided by a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4\/3 + 388032*b**3 - 2328208*b**2\/3 = 0.\nAnswer: -291026, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/10)\/((-11)\/(-22)). What is the nearest to p in -261, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 1, 2 in decreasing order.\nAnswer: 95, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*o = -4*y + 302 - 327, -3*o = -3*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 2945540685?\nAnswer: -2945540699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.5 and -0.5.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46273095839 and -8.8.\nAnswer: -46273095847.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, 29\/5, -5, -113?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-6)*(-14)\/5 - 2. Sort 1\/4, w, -0.5, 2\/5.\nAnswer: -0.5, 1\/4, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9534*q**2 + 9585*q**2 + 0*q - 2*q + 2*q.\nAnswer: 51*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + 2 - -5*sqrt(512))**2 + (sqrt(352)*2)\/sqrt(11) + -5.\nAnswer: 392*sqrt(2) + 18431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72679 in 1, -0.5, 0.19, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162268298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j + 87*j**3 - 20*j + 3 + j**2 + 10*j. Let y be k(1). What is the highest common factor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 318774\/(-10)*(-105)\/63 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/11 - 3150*r**4\/11 - 1238734*r**3\/11 + 1245038*r**2\/11 + 1238736*r\/11 - 1241888\/11 = 0. What is r?\nAnswer: -788, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = -3*x. Let s be (-1)\/(60\/21 - x). Suppose -s*z = -3*z - 240. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/155168 and -139\/48?\nAnswer: 465504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 6891*z + 41306. What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -o + 20, 0*o - 2*m + 15 = o. Suppose 4*b - 29 = -o. Solve -z + 2 - b = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 69. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -273083060 to the nearest one million.\nAnswer: -273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 1 + 1\/2*o**2 + 7*o. Let a be j(-5). Is a not equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*z - 4287, -m = -10*z + 11*z - 2175. What is the remainder when m is divided by 196?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*k**3 + 907*k**3 - 363*k**3 - 271*k**3 + 2*k + 422*k**2 - 2*k.\nAnswer: -k**3 + 422*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - -3983c?\nAnswer: 39851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 less than -566?\nAnswer: -565.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1 - 1 - q + q**2. Let m(v) = 5*v**2 - 5*v - 1. Let x(c) = c**3 + c**2 - 29*c + 3. Let i be x(0). Determine i*o(d) - m(d).\nAnswer: -2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5991452 minutes in milliseconds?\nAnswer: 35948.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 21. What is the remainder when 117 is divided by (-18 - k)\/(33\/(-44))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 5. Let c(t) be the first derivative of -3*t**2\/2 + 9*t + 5. Determine 4*c(w) - 7*u(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -90.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 224200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*z = -13, 2*f - z - 4*z = -19. Let p be 2\/8*(f - -1). Solve -5*i - p = -6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = -4*z + 2, 4*z = -3*m - 1. Sort -1, -4, -2, m.\nAnswer: -4, -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -34*u + 35*u + 3, -27 = -5*u - 4*c. Suppose -6 = 5*b + 9. Sort b, -5, u in descending order.\nAnswer: u, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 7 + (19 - 3) - 47.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 29 = 5*f. Calculate the remainder when 13 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/30 + 216*a**3\/5 - 649*a**2\/5 - 3088*a - 2. Factor n(q).\nAnswer: 2*(q - 1)*(q + 649)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 39*g. Let s(o) = -15*o - 103. Calculate s(i(f)).\nAnswer: -585*f - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3063612554 - -12?\nAnswer: -3063612542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1780 and 559160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 10*n + 5. Let j be h(8). Let o be (1\/(-3))\/(6\/(-126)). Let f(a) = 2*a - 7. Let g be f(o). What is the greatest common divisor of g and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1344 - -5491. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -32.9. Let m = 6.3 + -1.3. Let o = m + w. Which is the nearest to 0? (a) 0.3 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9042717 times -0.31\nAnswer: -2803242.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36004 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: Which is bigger: -72\/18709 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*j**2*w + 85*h**3*j*w - 92*h**3*j + 400*h**2*w + 3*h*j**2*w + 2*w wrt h.\nAnswer: -6*j**2*w + 510*j*w - 552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1620 and 2801.4.\nAnswer: 4421.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 15*b - 25)*(-3 - 1 + 0).\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 923633782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 16*g - 19. What is q(6)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 t when three letters picked without replacement from {t: 4, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426 + -406. Let z be (y\/40)\/((-22)\/(-8)). Which is the nearest to z? (a) -2\/11 (b) -0.5 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 44\/636351?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8*s = -3*s + 17, 0 = -s + 1. Let r = -11 - w. Calculate the least common multiple of 10 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117.138 + 117. Let b = h - 0.592. Let w = b - -1.47. Round w to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/180*(0 + 2). Let b = 8 + -4. Let v be ((-3)\/b)\/(18\/(-4)). What is the second biggest value in c, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 0.1, 0.3, 2\/57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -345*p**4 - 2*p**3 - 2*p**2 + 4*p + 468. Let i(k) = 1381*k**4 + 9*k**3 + 9*k**2 - 18*k - 1871. Let x(w) = -2*i(w) - 9*j(w). Differentiate x(l) wrt l.\nAnswer: 1372*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g**2 + g + 2. Let l be r(0). Suppose 7 = -l*d + 27. Suppose v + d = -v. Let k(u) = -u**3 - 5*u**2 - u - 6. Give k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240907102.\nAnswer: 2, 17, 137, 51719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0*a + 3\/2*a**5 + 65\/4*a**4 + 0*a**2 + 0 - 77\/2*a**3 = 0.\nAnswer: -77\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(825))\/(sqrt(176)*-4 - sqrt(11)).\nAnswer: -10*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2 + 500*p - 86. What is g(-36)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2902*h + 129. Let i be d(-17). Suppose 17137 - i = -14*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60766099?\nAnswer: 37, 1642327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, q: 8, z: 1, p: 1, t: 2}. What is prob of sequence zq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30543, -61079, -91605, -122115, -152603, -183063, -213489?\n\"Answer: w**3 - w**2 - 30540*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.2303 milligrams in micrograms?\nAnswer: 887230.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 1\/42*p**7 - 35*p**2 + 0*p**4 + 0*p**3 + 0*p**5 + 0 + 7\/24*p**6 + 0*p. Factor d(l).\nAnswer: 5*l**3*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Suppose 4*t + 5*u - 3*u = 0, 2*t - 3*u = 8. Let j = x + t. Solve 28 = 4*n + 4*v, -2*v + 2 = -j*n - 0*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.9 and 10818.92?\nAnswer: -74650.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 94944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssvssssww. Give prob of sequence wvs.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let y(w) = 2*w - 10*w + 0*w**2 - 2*w**2 - 22 + 0. Let d(s) = u(s) - y(s). What is the units digit of d(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:48 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 1, m: 2, j: 7, l: 1}. What is prob of picking 2 m and 1 j?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 766?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 + 14*b - 14*b.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 + -166. Suppose -d*c + 51*c = 33755. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -651 - -650.61. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*i - 4099 - 3022 = 1173. Calculate the remainder when 1737 is divided by i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 854*w + 5094. Give s(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 39*j**2 + 87*j + 45.\nAnswer: -3*(j - 15)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-2610)\/(-12)))\/((-322)\/34615).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 132 - 2*u - 59 + 4*u**2 + 74*u**4 - 71 as q + j*u + o*u**3 + g*u**4 + h*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 times 0.05?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/16*(15 + -11). Let t(q) = 2*q + 18. Let l be t(-13). Let m be l\/((-44)\/10 - -4). Which is the smallest value? (a) f (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 5669.\nAnswer: 1700.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u*(u*u\/u**(-4))\/u))\/u))\/u*u**(-6))**(17\/2) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d*d*d)\/d)**38\/((d*d**(3\/7))\/d)**(-32))**19 assuming d is positive.\nAnswer: d**(-8284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11323, 24, -2\/5?\nAnswer: 11323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74017.3728032 from 0.2.\nAnswer: 74017.5728032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93433 and 67104.\nAnswer: 26908704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6628*h**3*w - 20728*h**2*w wrt h?\nAnswer: -39768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3*l + 4. Let b(y) = -y**3 - y**2 - 3. Let w be 21\/7 - 0\/2. Suppose w*t = 5*m + 3, 3*m - 3*t = -t - 2. Let g be b(m). Determine s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) 66 (c) -215\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 11\/4. Let m(y) = y**2 + 12*y - 7. Let r be m(-13). Let o = r + -3. Is o equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9163563 less than 642?\nAnswer: -9162921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - c - 2 + 4 = 0, c + 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 24 = -5*h - 9, -4*b = 2*h - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 108. Let a be ((-1)\/5)\/(g\/(-30))*-50. Is -10 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -278, -599, -1048, -1625?\n\"Answer: -64*w**2 - w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 410317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14725348 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58.4 + 58.8. What is the biggest value in 1\/7, 3, x, 0.025?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 3)*(-3 + 0 + 1)*(5*r - r - 2*r).\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -40 + 5*n + 3*n**2 + 11 + 9. Let s be p(-11). Let d = -105 + s. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m - 61 = -17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -35. Find the third derivative of 0*l**2 - 4*l**o + 7*l**6 + 3*l**6 + 12*l**2 wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y + 0*y)*(3*y - 2*y + y)*(13*y + 0*y + 7*y).\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 194, 28, 3, -1 in decreasing order.\nAnswer: 194, 28, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i = 40*i + 690. What is the remainder when i is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20299*m**6 - m**3 - 405*m**2 + 43*m - 1 wrt m.\nAnswer: -2435880*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -879a (base 12) to base 15.\nAnswer: -466a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 15*l**2 - 9*l + 6. Let a(o) = -o**3 + 7*o**2 + 4*o - 3. Let z(r) = 9*a(r) + 4*q(r). Let w be z(2). Solve 2*i = 3 + w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v + 3*v - v**2 + v - 3. Suppose 5*h - 8 = 17. Determine a(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-588)\/(-10) + 5\/25. Is m\/((-4)\/(8\/(-2))) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (-150)\/(-18))*3. Let l(p) = p**3 + 2*p**2 - 13*p - 1. Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 239562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -38) + (-36 - -26)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1146 divided by -11.\nAnswer: -1146\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32421334 (base 5) to base 7.\nAnswer: -2243100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2. Let f be y(5). Suppose 539 = -f*w + 6412. List the prime factors of w.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -251585 + 55?\nAnswer: -251530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*l = -0*w + 35, w - 4*l = -15. Let f = -191\/11 - -1381\/77. Which is the nearest to -2? (a) w (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 34. Let x be 0\/(4\/(4\/2)). Is d(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from yyyuyypuypyuu?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*u + 58*u = 0. Which is the closest to 0? (a) u (b) 1\/4 (c) 1 (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 31. Suppose -9 = 4*g + 3*b, 0 = 2*g - 3*b + 3 - 12. Give n(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 - 5*j - 4. Let w(s) = -13*s**2 + 9*s + 8. Let l(z) = 11*b(z) + 6*w(z). Suppose -3*t = -4*t + 1. Let n = 1 - t. What is l(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 - 7*d + 6. Let v be b(2). Suppose -3*l + v*l - 1880 = -5*x, -3*l = 2*x - 755. Let t = -236 + x. What are the prime factors of t?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7052 + 30823. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/3, 21\/5, 3, -2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s*s**40\/s)\/s*s\/s**(-41) assuming s is positive.\nAnswer: s**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + h**2 - 2*h**2 + (-2 + 3 - 2)*(0 + 2*h**2 + 0).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 19. Let j be d(-8). Suppose -g + j + 21 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -9. What is the common denominator of 13\/3 and k\/(96\/116) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 7. Let b(k) = -2*k - 223. Calculate b(f) + 2*s(f).\nAnswer: 2*f - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22211.13 years to months.\nAnswer: 266533.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/957)\/(184\/5336).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*c - 62868 = -7*c, 31450 = b - 3*c. What are the prime factors of b?\nAnswer: 2, 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 2. List the prime factors of u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1012 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455949 and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 19.00000012. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*s - 109844 + 30490, 3*s + 198421 = 5*n. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3621 + -57961\/16. Find the common denominator of b and 67\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.45 + -1.15. Suppose -t + 25 = 4*t. Which is the nearest to -2\/5? (a) j (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19040.4620004 + -19051.762. Let b = j - -11.3. What is b rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (-37 - -33)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -104. Let k be 5*(-12)\/o + 2. Solve -2*x - k*r = 33, -x + r = -0*r - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 139 = -4*y - 105, 5*z - 4*y = 309. Find the second derivative of -65 + 2*c - 12*c**4 + z wrt c.\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*s - 79*s - 119*s - 408*s.\nAnswer: -502*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155646 + 162776 = 230*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1905\/1166 - 36\/53. Find the common denominator of q and 33\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 4. Let r(f) = 10*f + 348. Suppose 0 = -3*s + 9, -24*s + 26*s = -5*o - 159. Calculate the least common multiple of r(o) and q(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (1277 + -5 + 4). Let p = r - -2438. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104239801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 15*r**2 - r + 10. Let p be x(15). Let v be p + ((-4)\/2 - -6). Let i be v + ((-20)\/(-14))\/(12 - 10). Sort -3, i, -2\/3.\nAnswer: -3, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 - 137 - (-2 + -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -129 times 17\nAnswer: -2193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33040, -132473, -298204, -530239, -828584?\n\"Answer: -o**3 - 33143*o**2 + 3*o + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - -50 - (-4 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**2 + 2*w - 1. Let x be v(-2). Let j = 67 - x. Is 8\/10*119 - 8\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.18182612 to two dps.\nAnswer: 8.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z**3 + 3*z**2 - 19*z - 3. Let w(q) = q**3 - q**2 - q + 1. Let c(i) = 3*w(i) + x(i). Find the second derivative of c(j) wrt j.\nAnswer: 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 70. Suppose 0*o - 2*m = 3*o - 67, -2*o = 4*m - h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 11, a: 6}. Give prob of sequence aalw.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122 + 54*x + 122 + (x + 4*x - 4*x)*(4 + 1 - 6).\nAnswer: 53*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(28) - sqrt(49)\/(sqrt(28)\/sqrt(4))) - ((1 + (2 + sqrt(112) - sqrt(7)))*-4)**2.\nAnswer: -1146 - 287*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3609*c**3*q - 9690*c*q - 104721897*q with respect to c.\nAnswer: 10827*c**2*q - 9690*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116 - -346282?\nAnswer: 346165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 2:49 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.59 < 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13330, 13337, 13344?\nAnswer: 13351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igaggagigggi. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {m: 2, g: 4, k: 3}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-189) + (-6)\/(-270)*(-30)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 - 3*h - 19. Let v be b(-4). Suppose v*d = 54 + 45. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + 692. What is the greatest common factor of f and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -24*t - 51. Let w = 19 - t. Let z = 6 + -3. Solve 0 = g - y - 4, z*y - 6 = -g + w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(363) - (-4*sqrt(363) + sqrt(363))) + sqrt(363))*-6)**2 - (4 + (sqrt(363) - sqrt(363)*-2)**2*1).\nAnswer: 114341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 - 3*b + 12. Determine f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/12*5 + 2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -95010644083\nAnswer: -95010644099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7902 and 71546464.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(sqrt(228) + sqrt(228)*1) - sqrt(228))\/(4*-1*sqrt(12)))**2 - 4*(-4 + -4 + sqrt(19) + (sqrt(19) - sqrt(76)\/sqrt(4)*-1)**2).\nAnswer: -12047\/16 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 117*(69 + (-27148)\/396)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - l + l + 0. Let p(g) be the first derivative of -g**2\/2 - 2*g + 6. Let j(b) = -9*b - 17. Let k(c) = -6*j(c) + 51*p(c). Give r(k(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 + 4631 = 7*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i**2 - 6. Let s(d) = 13*d**2. Calculate q(s(a)).\nAnswer: -3549*a**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 3 = 6. Sort v, 2, 3, -3 in descending order.\nAnswer: 3, 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -1 + 0 + sqrt(1872))**2 - -2*4*(sqrt(1872)*2*5)**2.\nAnswer: 120*sqrt(13) + 1495703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 3:13 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 606*z + 1219. Give f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 4 (c) 10108.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131135 (base 6) to base 5.\nAnswer: -3333340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 201 and -6177995.\nAnswer: -6177794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -1. Let j(l) = 6*l + 160. Calculate the remainder when j(-17) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1206 - -1191. Let k(i) = 5*i**3 - 15*i**2 + 15. Let p(c) = c**2 - 4 + 0*c**2 + 3. Calculate n*p(a) - k(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 4653*p + 4656.\nAnswer: -3*(p - 1)*(p + 1552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqq when three letters picked without replacement from {q: 6, x: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1099 and 785.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*m - 166. Let p = 182 - m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 191?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqvevqbu. Give prob of picking 2 v, 1 e, and 1 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/7)\/(19 + -20). Let k = -40.6 - -41. Put -1, x, k in increasing order.\nAnswer: -1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55 - (-19656)\/(-392))\/(-3*6\/(-63))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2125\/8 + -266. What is the nearest to m in -0.3, -1\/2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 35. Suppose -k = -4*k + 90. What is the greatest common factor of k and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + -1*sqrt(2) - sqrt(2)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15\/8)\/g**(-2\/23) assuming g is positive.\nAnswer: g**(-329\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 57 + 23. Suppose -15 - 10 = -5*a. Suppose -2*h + 6 = 4*c + c, -a*h - 18 = -4*c. Calculate the highest common divisor of c and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -2*l, -l + 1 = -3*z + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -5 (c) 200 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9810 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1704 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 7*m**2 + 4*m + 30. Calculate f(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 878377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 10*j. Let m be b(11). Let h(r) = -r**2 + 13*r - 17. Suppose 5*i - 76 = i. What is the remainder when i is divided by h(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*q**3 + 294 - 11*q**3 + 2*q**4 + 0*q**4 - 45*q**3 wrt q.\nAnswer: 8*q**3 - 267*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -23, 668, -0.1, -9\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22*s**2 - 1494*s - 153. What is q(68)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - 2452375. Let h = 780475 + i. What is h rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24273 + -1577782\/65. Let i = 29757 - 4255296\/143. Calculate the common denominator of d and i.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 59*d**2 - d + 57*d**2 - 2*d**4 + 1 + (-10*d + 0*d - 4*d)*(-3*d**3 + 2*d**3 + 0*d**3).\nAnswer: 12*d**4 - 2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/10)\/((-4)\/8) - 10. Sort q, 2, -5, 0 in decreasing order.\nAnswer: 2, 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2*-3) + 2. Suppose 2 = -2*u + m. Solve g**2 + g**u + 0*g**2 + g**3 - g - 2*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:27 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24665.\nAnswer: 5, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 5, -3, -4 in decreasing order.\nAnswer: 5, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -289*z + 23. Suppose -35 = 8*d + 85. Let o be v(d). Is o*(15\/(-10) + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**2\/2 + 9*p + 1. Let o be n(-7). Factor -26 + 20 - u**2 - o*u**2 - 9*u.\nAnswer: -3*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 8*v - 2. Let n be y(9). Let u be (-12)\/n*14\/(-4). Suppose 3*m - 27 + u = 0. Is 7 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*d**2 + 484*d**2 - 151*d**2 - 151*d**2 + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218253\/20 - 10915. Find the common denominator of -65\/18 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98794 by -2.\nAnswer: 49397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0*u + 0 + 0*u**4 + 1\/20*u**5 + 4*u**2 + 0*u**3. Let d(a) = -a**2. Calculate c(d(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846015627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 26. Let o = -18 + u. Is o\/(-8) + 1425\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 463 + -169d?\nAnswer: -123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from jjjdjjjjjjjdjjjjjjjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:51 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -710 divided by -19.\nAnswer: 710\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 323752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105941 and -22151.\nAnswer: -128092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 0.186511 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/29)*t)**(-8)\/((t\/t**(4\/11))\/t**(-34)) assuming t is positive.\nAnswer: t**(-13513\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2 - 0)\/(-1)*-2. What are the prime factors of (2\/r)\/(17241\/(-2156) - -8)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*j - 35 = -11, 2*u + 7 = j. Let o be (u\/3)\/((-5)\/(-15)). Calculate the common denominator of (o\/8)\/((-20)\/(-1744)) and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 - 3470\/17. Let q = -37657 - -37659. What is the closest to 3 in 2\/11, q, w, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*b + 23, 5*d - 8 = -2*b + 11. Suppose 0 = -b*j - i + 1364 - 103, -2*j = 4*i - 1246. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-32))\/(-3)*(-29142)\/(-4857))\/(-3)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12 - 13*u - 11*u**2 - u**3 - 6*u**2 + 0*u**3 + 3*u**2. Let p be 6\/8 + (-55)\/4. Is h(p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 30 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 144. Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6822)\/(-3790)*40\/6*(-31)\/(-4)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 360 + 55 - 159*w**4 + 216 + 3*w**3 - 3*w**3 wrt w?\nAnswer: -636*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 1951 = 2103 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1544\/429 + 19\/11. Let g = -7\/13 - z. What is the closest to g in -4, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54604 and 9570847?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(3*y + 3*y - 4*y) + (33*y - 12*y + 108*y)*(-1 - 2 + 0).\nAnswer: -389*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y**3 + 18 - 18 + (3*y - 5*y + 4*y)*(-6*y**2 + 0*y**2 - 2*y**2) as t*y + p + v*y**2 + u*y**3 and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4))\/sqrt(4) + 5.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 10*a**2 + 9*a + 27. Give j(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53 and -0.0736.\nAnswer: -53.0736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-2*a - 10*a - a)*(4*a**2 - a**2 - 4*a**2).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = i - 3, -i + 2*g = 3*i - 40. Suppose -2*d - 10 = -2*n + 6, i = -3*d. Which is the third smallest value? (a) n (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 446403352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 50 = -100. Let j be 10\/b*30\/6. Solve 4*c + 10 = j*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/2 - (-1)\/2. Let o be (s - -5)*6\/9. Solve o + 4 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 5. Let b be k(0). Suppose -2*r = -7*r - b. Let p = r + 4. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0293 - -439.9707. Let j = -440.0002722 + c. Round j to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 590, 622, 656, 692, 730, 770?\n\"Answer: z**2 + 29*z + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17985 + -81579961\/4536. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86.9711 + 0.2909. Let t = -87.315931 + x. Let o = -0.054 - t. Round o to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -256759450 to the nearest one million.\nAnswer: -257000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7542 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(7*3\/(-28)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + u + 115, 0*u + 73 = 4*r + 3*u. Let t(j) = -j**2 - 2*j**2 - 1 + r*j**2. Let m be t(1). Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*u - 30, -34*u - 5*w = -15*u - 15*u - 18 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1624 - -1504333?\nAnswer: 1506260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Suppose 4*b - 4*k = -36, -2*b = -a*k + 8*k - 12. Is -4 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 4\/3, -458, 0.2, 13\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13 = -23. Suppose 8*v - p*v = 3. Let l(t) = t**2 + 5*t + 2. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 17. Let i(f) = 6*f**2 + 0*f**2 + n*f + 3*f - 4*f. Let y(c) = 5*c**2 + c. Let o(t) = 10*t**2 + t. Let s(a) = -2*o(a) + 5*y(a). Give 3*i(w) - 4*s(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86106720 - 86106760.9999951. Let d = -41 - g. Round d to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44853 + 44853 - 2*o + 11*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541278*f - 541272*f - 4*f**2 + 1082550*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -110?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278070?\nAnswer: 2, 5, 127807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -4*d + s, 86*d = 83*d + 5*s + 177. What is the highest common factor of d and 12224?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-4)*1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:17 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18 and -3 - 775\/(-880) - 4\/(-22).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*s + 15*s - 38*s + (3*s + 2*s - 4*s)*(1 - 1 - 3) - 4*s + 3*s + 3*s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1983 + 3276. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**3 + 40*i**2 + 269*i + 3. Give p(-7).\nAnswer: -5065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 - 2*p**2)*(2*p**3 - 7*p**3 + 0*p**3) + (-2*p**3 - 2*p**4 + 2*p**3)*(2 + p - 2) - 2*p**3 - 2*p**5 + 2*p**3 - 3*p**5 + 5*p**5 + 0*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93781\/18 + -5212. Find the common denominator of 23\/1286 and x.\nAnswer: 11574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 25*l + 28. Let o = 46 - 22. Let f be w(o). Solve 0*g = f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 + b**5\/12 + b**4\/6 + 5*b**3\/6 + 5*b**2. Give w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5450 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431687562?\nAnswer: 2, 3, 17, 19, 29, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 32 = 4*d. Let p = -9 + d. Let l(y) = 4*y - 7. List the prime factors of l(p).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*b + 22, 2895*h - 2*b = 2898*h - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -348 - -238ab?\nAnswer: 23563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136825 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150 divided by 23.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**3*t\/(t**3\/t))\/((t*t*(t\/(t*t**0))\/t*t*t)\/t)**(-2\/13) assuming t is positive.\nAnswer: t**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {j: 1, l: 2, u: 3, i: 1, t: 3, k: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1294, -13499, -25704, -37909, -50114?\n\"Answer: -12205*z + 10911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*m + 1 = -7, 5*m + 20 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0496 and 3.\nAnswer: 3.0496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 13.4. Let x = 9 - 9.8. Let k = 0.5 + x. Sort 1, g, k.\nAnswer: g, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -255*f**2 - 305*f + 35. Let x(d) = 15*d**2 + 18*d - 2. Let t(a) = 6*q(a) + 105*x(a). Find the second derivative of t(c) wrt c.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26949 + 0.16949. Let c = 3 + -4. What is the third biggest value in h, -0.3, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1172\/1897?\nAnswer: -1172\/1897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50524 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45 + ((-4)\/12*0)\/(-1). Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -y*s + 21 = -1. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11 + 2\/11*t**3 + 14\/11*t - 10\/11*t**2.\nAnswer: 2*(t - 3)*(t - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(110\/(-60)) + 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/(-42) - (6 + (-213)\/45). What is the biggest value in p, -1\/12, -1.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2. Let m(j) be the third derivative of 0*j**3 + 0 - 2\/3*j**4 + 43*j**2 + 2*j. Give m(q(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 4*m**3 + 11*m**2 - 12*m**2 - 2*m**4 + 3*m as t*m**4 + a*m + z*m**3 + k + u*m**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 163*t + 282. Does 8 divide z(109)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-4))\/(69\/322)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -43, -88, -171, -304?\n\"Answer: -2*t**3 - t**2 - 2*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2608915, -2608897, -2608853, -2608771, -2608639, -2608445, -2608177, -2607823?\n\"Answer: 2*n**3 + n**2 + n - 2608919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -337, -340, -343, -346, -349?\n\"Answer: -3*q - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 + 8 + -16)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 1) + (12 - 11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006555 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 5*y - 150 = 0. Which is bigger: y or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skkx when four letters picked without replacement from ksxikxxsi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 606719250 and 3010.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8964 to 2 dps.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12234 or 12820?\nAnswer: 12234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) -1\/2 (c) 5 (d) -3 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 9*n + 43. Is 1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/66063499 or 1?\nAnswer: -52\/66063499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/76)\/((-42)\/168). Let x = -1.1 - -1. What is the closest to x in 2, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(1\/6)\/(r**13\/(r**(3\/7)*r)) assuming r is positive.\nAnswer: r**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -804 - -1870. List the prime factors of k.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7600 and 7125.\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -25*r + 4. Let k(u) = 71*u - 11. Let z(p) = 11*g(p) + 4*k(p). Let a = 5 - 3. Let i(f) = -f**a - f + f. What is z(i(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 11*l - 5*n = 29527, -2*n = 3*l - 29513. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1737165160094 and 1.3?\nAnswer: 1737165160095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -661*m + 636*m + 255. Solve -5*y = m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/4 + 2. Let s be 5\/(-10)*(-4)\/(-2). Let m = -53 - -157\/3. Sort m, g, s in decreasing order.\nAnswer: g, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 4*q**2 - 896*q - 3*q**2 + 2*q**2 - 242*q as f*q + d*q**2 + s and give f.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xggg when four letters picked without replacement from {g: 15, x: 4}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348624928.\nAnswer: 2, 1723, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 11:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**1*j\/j**(1\/3)*j*(j\/j**(5\/4))\/(j*j**(-2\/7)))\/(j*j**(-1\/4)*j**(6\/5))**(-1\/10) assuming j is positive.\nAnswer: j**(7969\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2768 - 2702. Calculate the highest common divisor of 42 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 5 - 3*d + d + 1 - d - 1 + (3*d - 2*d - 3*d)*(5 - 4 - 2).\nAnswer: -d - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/18 + (-16)\/(-3). Suppose l*f + 456 = 2610. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -3 - 3 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -21. Let u = -6 + 4. Sort u, q, -1 in descending order.\nAnswer: q, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72800, -145597, -218392, -291185, -363976, -436765?\nAnswer: -509552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:29 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98402 - 98407. Suppose g = -4*m - 5 + 52, 53 = 4*m - 5*g. Put t, -4, -1, m in descending order.\nAnswer: m, -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -1\/24*l**4 + 0*l**3 - 1\/120*l**6 + 0 + 0*l + 2*l**2 + 0*l**5. Find the second derivative of g(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 5*c = -22*s + 206, -3*s = 10*c - 11*c - 79 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2724, 2722, 2720, 2718, 2716, 2714?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 595, 4778, 16159, 38344, 74939, 129550?\n\"Answer: 601*a**3 - 7*a**2 - 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 - 4*y + 9. Let w(o) = -5*o**2 - 7*o + 17. Let d(s) = -11*n(s) + 6*w(s). Does 21 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/42 - (-300)\/700. What is the nearest to -39 in c, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 7*r**2 - 12*r + 20. Let y be h(5). Solve -5*g + 10 = -5*a, 5*g + y = -4*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2001900*u**2 + 8788065?\nAnswer: 4003800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 40 = 5*i. Let y = i + 18. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -300953104*r**2\/7 - 104088*r\/7 - 9\/7.\nAnswer: -(17348*r + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/3503 and 38\/11.\nAnswer: 38533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 + 1 - -6) + 120 + -90\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 5, p: 1, x: 6}. Give prob of sequence pg.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 8*p**2 - 7*p. Let x be u(-7). Let b = 0 + x. What is the units digit of 11 + b\/3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.012 + 0.012. Let t = -1.948 - s. Let y = -0.052 + t. Which is the nearest to y? (a) 0.5 (b) -2\/41 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 2 (b) 1 (c) -0.4 (d) -18\/415 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -3)*1\/(-9 - -2). Let n = s + -17\/14. Is -2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.896*-2\nAnswer: -119.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 873\/39139 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 2. Let l be i(2). Suppose -4*v + 224 = -l*v. What is the remainder when v is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/a*a**(-8))\/((a\/a**5)\/(a**(6\/5)\/a)))**(-9\/5) assuming a is positive.\nAnswer: a**(36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 - 114 = 0. Suppose 2*q = -0*q + g. Do 21 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 1420*n - 1414*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24466505 (base 7) to base 16\nAnswer: -219818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -5*d + 3*y, 3 + 7 = -5*y. What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6599*0.4.\nAnswer: 0.26396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 117 = 13*p. Solve -p = 4*s - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 19331*l + 212878. Calculate i(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82696.\nAnswer: 2, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 9. Let b be c(-7). Suppose -4*m - 5*i = -58, 0 = -3*m + m + b*i + 38. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273\/234*18\/56.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttttttt. Give prob of sequence ttv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 103 = 643. Let m = 3547 + -3362. Let t = m - d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*-1*1. Let u(n) = n. Let t be u(l). Let d be (6\/15)\/(t\/(-5)). Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**5 + 140*h**4 + 348*h**3 - 1260*h**2 - 3456*h = 0 for h.\nAnswer: -32, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80341.\nAnswer: 80341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400 minus 125?\nAnswer: 6275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-2 - 90\/(-18). Solve s = -j*f + 13, 2*f = -s + f + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3030221 - 303?\nAnswer: 3023312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 57499799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322*p + 1315*p = -455. Solve -6*u = -71 + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - 6) - (7 - (30 + (6 - -2)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 476\/68 - 17\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1708, -1790, -2006, -2422, -3104, -4118, -5530, -7406?\n\"Answer: -11*l**3 - l**2 - 2*l - 1694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-2\/5)\/s)\/s)\/s)\/(s**(1\/3)\/s))**(2\/63)*(s**1\/((s**(-2\/5)*s)\/s))\/((s\/(s**(-1\/4)\/s))\/s**(-4)) assuming s is positive.\nAnswer: s**(-18661\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 + 2*f - 4. Let l = 2 + 2. Let d be y(l). Solve -t + n = 5, d*t + 8*n - 3*n = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.69 - 183.31. Let v = 185 + i. Which is the biggest value? (a) v (b) -2\/7 (c) -0.2 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024715 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15 and -825?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -5. Let l = -17 + p. Suppose l*w = w. Solve w*x + x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*(((v\/((v\/v**0*v)\/v))\/v)\/v)\/v)\/((v*(v\/(v**(-2\/3)*v*v)*v)\/v*v)\/(v**(2\/7)*v))*((((v*v**(-1))\/v)\/v)**45)**(-6) assuming v is positive.\nAnswer: v**(56387\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*p = 13*p - 250410. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u = -38*u + 15. Solve -u*l = 2 + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h**2 - 100*h + 169*h**2 + 124*h - 26*h.\nAnswer: 115*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538654?\nAnswer: 2, 269327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:57 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1500739.8 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t - 28. Suppose 0 = -9*n + 19*n - 80. What is the remainder when 34 is divided by g(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 28*x**2 - 3*x + 3. Let m(c) = 63*c**2 + 10*c + 2. Let l(q) = 132*q**2 + 22*q + 4. Let y(r) = -6*l(r) + 13*m(r). Determine -3*y(i) + 2*z(i).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z + 57*z + 58*z - 223*z + 50*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 0 - 2 - (-19 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030300231 + 1222?\nAnswer: -2030233003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181324 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12239 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18259, 18264, 18273, 18286, 18303?\n\"Answer: 2*g**2 - g + 18258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15788497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/35)\/(g*g\/(g*g\/(g*g**(2\/51)))*g))**(9\/4))**(-4\/33) assuming g is positive.\nAnswer: g**(317\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012228 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1358 + 1323 = 7*g. What is the closest to 2.3 in -2, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 151*o**2 - 1710*o - 23. Determine c(-14).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25336 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 57.255. Let x = 0.067 + 0.068. Let a = p - x. Round a to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 - 10*p**3\/3 + 7*p**2\/2 - 7*p + 17. Let l(c) = -c**3 - 3*c**2 + 5*c + 4. Let r be l(-3). Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:23 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k + 1. Let g be r(2). Solve -2*y + g*c + 19 = 2*y, c = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -537*t + 32923. Let l = -20 + 36. What is the smallest common multiple of i(61) and l?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 37. Let i be (-4)\/5 + h\/(-10). Let o = -9 + 6. Sort o, 0.1, i in increasing order.\nAnswer: o, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 109 - (-1 - 4\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 3*i - 373*i**2 - 390*i**3 - 229*i**2 + 602*i**2.\nAnswer: -390*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1885, -3774, -5667, -7564, -9465, -11370, -13279?\n\"Answer: -2*l**2 - 1883*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7562*i**2 - 7562*i**2 + 114*i**3 - 229*i**3 + 117*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + w**2 + 1273 - 1273 - 11*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 2. Let x(z) = z + 2. Let v(u) = -2*l(u) - 3*x(u). Calculate v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165 + 169. Find the second derivative of -32 - 7*z**4 - z**4 - 3*z**3 - 2*z**4 - b*z + 9*z**4 wrt z.\nAnswer: -12*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 10\/43723 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 - 8*w + 192 = 0. Calculate w.\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:11 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -124*b + 1. Let p(d) = -251*d + 1. Calculate 3*p(u) - 5*q(u).\nAnswer: -133*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4401441 divided by 7\nAnswer: -4401441\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -0.001262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25.6 (b) -3 (c) -5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56374.\nAnswer: 2, 71, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 182971, 3, -2\/7, 4\/5, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -30 (b) 52 (c) 2\/23 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4617 + 4419 = -2*a. Let m = a - -6613. Suppose -l - m = -6*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q - 7. Let w(y) = -3*y - 5. Let t(f) = 5*u(f) - 7*w(f). Let l(p) = -2*p. Calculate t(l(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*a + 52*a = r - 26, 0 = r - a - 44. Calculate the remainder when 201 is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 289576?\nAnswer: 1737456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - 1\/3. Let m = 30 + -30. Suppose -2*l + m = 2. Which is the second smallest value? (a) -0.2 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7811\/107 - (-53172)\/(-728)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*3 - 21\/6. Let l(t) = t**2 + 6*t - 11. Let g be l(-9). Let a be g\/(-18)*(-1)\/(-4). Sort a, 4\/7, r, 2\/9.\nAnswer: r, a, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 3, p: 3, m: 1, z: 2}. What is prob of sequence mpl?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -35*l**3 + l**2\/2 - 107. Let j(z) = -2*z. Determine a(j(t)).\nAnswer: -420*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6175930\/19 or -325048?\nAnswer: -325048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/3 + p**2\/2 + 8*p + 2. Let j be m(0). What is the units digit of (44\/(-6))\/(j\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1.6, -4\/25, -3, 4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 11*f**2 - 13*f - 9. Suppose 7*m = 7 - 91. Let j be z(m). What is the remainder when 40 is divided by -155*j\/(-21) + (-8)\/56?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 4\/385, -36794?\nAnswer: 4\/385","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, -326, 17, -18, 2 in descending order.\nAnswer: 17, 5, 3, 2, -2, -18, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4486 + -6346.7. Round j to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25865, -5, 3, 6, -1, -4 in increasing order.\nAnswer: -25865, -5, -4, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 19*f**2 + 31*f**2 + 26*f**2 - 80*f**2. Let v(b) = 32*b**2. Calculate n(v(r)).\nAnswer: -4096*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(15\/5)\/6)\/((-2092)\/4). Are v and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 - 22*f - 2 - 17*f + f**2 + 41*f in the form j + x*f**3 + z*f**2 + m*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-15)*(-6)\/4. Suppose l*v = -2*v. Solve -5*h + 4*h = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -3, 56, 4, 2, -2, -19 in increasing order.\nAnswer: -34, -19, -3, -2, 2, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9452, -29524, -70826, -143972, -259576, -428252?\nAnswer: -660614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-91)*7 + 2933. Let d be 1689 - (-1)\/(0 - -1). Let t = z - d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420251707 less than 0.1?\nAnswer: 420251707.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103\/273 - 4\/91. Let c = 64.2 - 65. What is the closest to z in 1\/4, 5\/2, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 22. Suppose 137*y - 145*y = 48. What is b(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/140 and 85\/501494.\nAnswer: 5014940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36022751 + 5?\nAnswer: -36022744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2\/48 + (-935)\/(-12). Suppose s*l - 24762 = 76*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-4.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11665, 11664, 11661, 11656, 11649, 11640?\n\"Answer: -a**2 + 2*a + 11664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**8\/5040 - x**7\/2520 - x**6\/540 + 29*x**3\/6 + 2*x**2. Let n(l) be the first derivative of f(l). Factor n(i).\nAnswer: i**2*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146783*d**5 - 98108*d?\nAnswer: 2935660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103444111 + -424?\nAnswer: -104000040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/15 and (-67586)\/5184 + 24 + -11.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 + 270. Which is the fourth smallest value? (a) 5 (b) z (c) 1\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*m = 3*m - 340, 0 = -4*d - m + 257. Calculate the remainder when (4 - (-1 + 3))\/(6\/d) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-25)\/(-150))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + 13*g + 7. Let k be f(10). Let a be k\/(-45) + 4\/(-10). Let z = -847\/9 + 94. Which is greater: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -229*w - 2335. What is k(-10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 6. Let b be g(5). Suppose -2*w + 5*w - 4*f + 9 = 0, -7 = 5*w - 4*f. Solve 5*m = 3*r + 34, m - 2*r + w = -b*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 876 + -7955\/9. Let x(p) = -44*p - 12. Let z be x(16). Calculate the common denominator of a and (45\/300)\/((-18)\/z).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -748, -765, -802, -865, -960, -1093, -1270, -1497?\n\"Answer: -a**3 - 4*a**2 + 2*a - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682422052.\nAnswer: 2, 59, 7128907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 - 216. Let o(z) = 1765*z**2. Give o(v(s)).\nAnswer: 1765*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65374292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.18 + -0.18. Let w = -10 + c. Do -2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/3 (b) 220 (c) 0.02872\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 296*z - 2073. Let u be n(7). Let k(x) = -x. Let q(w) = -3 - w - 1 - 2*w. Let b(r) = 5*r + 7. Let f(i) = 4*b(i) + 7*q(i). Give u*k(y) - 2*f(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -1\/5, -4\/7, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/65546115 and -13\/15?\nAnswer: 65546115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 + 5 - (-2)\/(-2). Let z be m\/4*8\/(-14). Factor 54*s - 54*s - 4*s**z + 2 + 2*s**4.\nAnswer: 2*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 270 = 0. Let r = j - -78. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 235.661.\nAnswer: 240.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(605)\/sqrt(176))\/((sqrt(405)*1 - sqrt(405) - sqrt(405) - sqrt(405)) + sqrt(5) + sqrt(5)).\nAnswer: -3*sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)*u\/(u\/(u**(5\/6)\/u))*(u\/u**(-2))**3*(((u**(2\/5)\/u)\/u)**(1\/3))**(-10) assuming u is positive.\nAnswer: u**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 158*j**2. Let r(t) = -3*t + 2250. What is r(q(p))?\nAnswer: -474*p**2 + 2250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6375337?\nAnswer: 89, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 70 + -36 + -69 + 26\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230344042 - -1012?\nAnswer: 230345054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 7*f**2 + 4*f - 9. Let w be y(9). What is the highest common factor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259552 is divided by 64812?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*n + 3, 2*f + n - 15 = -6. Let v be 2 + -4 + (-15)\/(-6). Which is the smallest value? (a) v (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 206*l + 209*l = 51, -l = 3*j + 27. Sort -3, 0.4, j, 0.33 in descending order.\nAnswer: 0.4, 0.33, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7185458 and 1938.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:29 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2970255 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 2\/5 (b) 0.5 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -22 + -37 + (-1 - -7) + 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 2*k - 4. Suppose -52*c + 9 = -51*c. Suppose -12 = -u - c. Suppose u*t = 5*m + 23, 0 = -3*m - m - 2*t - 14. Determine l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 5. Let q be 6\/((12\/(-8))\/1). Calculate l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 14*z**2 + 14*z - 13. Calculate c(7).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*t - 25132, -3*q - 18*t + 414 = -18603. List the prime factors of q.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/20251, -1.7, 4, 0.4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*x - 136, 3*y + 3*x = -x + 232. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29376 and 30141?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + j + 8 = 0, 5*o + 3*j = -2084 + 2064 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*y + 12*y**3 + 9*y**3 + y**4 - 2 - 93*y + y**2 - 20*y**3 in the form w + o*y**3 + t*y**2 + v*y + a*y**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17367, -67487, -150985, -267861?\nAnswer: -418115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1451.16\nAnswer: -435.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 137, 2\/3, 2\/31, 0, -0.3.\nAnswer: -3, -0.3, 0, 2\/31, 2\/3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - y + 10, 2*v - 16 = -0*y - 5*y. Let h be (-8 - 2)*v\/5. Suppose h*q = l + 17, 2*l + 0 = -4*q + 14. What is the nearest to -0.1 in 0.4, l, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1869548*m + 7478188. What is y(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895759840 a multiple of 10270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + 13. Let w be (p\/12)\/((-4)\/(-8)). What is the highest common factor of 165 and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11478379.\nAnswer: -2\/11478379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -147 * 5\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**2 - 2*u**2 - 2*u**2 - 2*u in the form y*u + r*u**2 + v and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 535304543?\nAnswer: 535304545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16471.75 millennia to months.\nAnswer: 197661000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/564 in 0.5, -0.5, 6, -8, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 3\/5, 0.1, 6\/43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2*2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24639 rounded to the nearest 100?\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21237*q*w**2 + 7*q*w - 2*q + 10*w**2 - 11098 wrt w.\nAnswer: 42474*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282248, -282245, -282240, -282233, -282224?\nAnswer: -282213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 - 10*n**2 - 9*n**2 - 21*n**2 - 1 + 46*n**2. Let b(j) = 2*j**2 + 17. Give -b(c) - 3*k(c).\nAnswer: c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -1010000110111010101?\nAnswer: -1010000110110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17303078 (base 9) in base 2?\nAnswer: 100001000111101111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98810, 98814, 98820, 98828, 98838, 98850?\nAnswer: 98864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -1612?\nAnswer: -1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 92 = 41. Suppose -u*w + w = -336. What is the remainder when 121 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1442452074 to the power of 1\/2, to the nearest integer?\nAnswer: 37980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 34*d**3 - d**2 - 5 + 4*d**2 + 22*d**2 - 3*d**2 as k*d**3 + l + j*d**2 + i*d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289855 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 - 5*s - 7. Give a(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53574801971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*p + 4*i, 31 = 3*p - 9*i + 5*i. Suppose -p*g + 0 = -10. Are 2 and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2898 and 6417.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 + 1)*(18 - x**2 - 18) - 51 + 51 + 10*x**2 to the form m*x + t + a*x**2 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 16*s + 5 - 2*s**4 + 173*s**3 - 166*s**3 + (-6*s + 3 - 3)*(4*s**3 - 4*s**3 + s**3) to the form i*s + z*s**3 + n*s**4 + w + d*s**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 5, -33, -20 in increasing order.\nAnswer: -33, -20, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -232, -0.5, 1\/10, 2.28?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-330))\/((-2)\/15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2098 + -2092. Do -98 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -23*c + 137. Let v be s(5). Sort v, -4, -1, 5.\nAnswer: -4, -1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 958428927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*o + 50 = -n, 0 = n - o - 17. What is the least common multiple of 6 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 - 1*4\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242000403 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -131 in -1\/2, -3, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-1 + 0 - 1)*(0 + 0 + 5*m**3).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32426 (base 10) to base 16.\nAnswer: 7eaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -171 - a5499?\nAnswer: -a565a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3320\/45)\/((-2344)\/(-879))\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5055.3 times -0.5\nAnswer: -2527.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 - 6. Let c(q) = -4*q**2 - 5. Let g(s) = 6*c(s) - 5*n(s). Let t(z) = -8*z. Determine g(t(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/(-10))\/((-16)\/(-40)). Suppose h - 18 = -q. Solve 0*d = -h*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n + 2. Let w be q(2). Let i be (-3)\/w*-4*1266. Suppose b + 3*b - i = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.17791 and -0.3.\nAnswer: -0.653373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 8. Let q be b(8). What is the greatest common divisor of 32 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -17. Let z(j) = -3*j**2 - v*j**2 + 9*j**2. Let p(l) = l. Determine z(p(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*v**3 + 138*a**2*v**2*x - a**2 + v**3*x - 13*v**3 with respect to x.\nAnswer: 138*a**2*v**2 + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 14. What is the third derivative of t*p**2 - p**5 + 3*p**5 + 7*p**2 + 3*p**5 wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(9\/(4 - 7)). Which is the nearest to -2? (a) 6 (b) 2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12902 + 23232. What are the prime factors of h?\nAnswer: 2, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 56*a**2 - 3*a.\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n + 1. Suppose 0 = -o - o - 2. What is the remainder when 17 + (-1)\/(3\/(-6)) is divided by l(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 572170945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 1804.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15603 (base 9) to base 11\nAnswer: -8043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1166776 and -1166776 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30297*o = -30264*o - 2805 for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8267314*o + 15860. Let f be k(-10). What is f rounded to the nearest one million?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 32*a + 27 - a**2 - 2*a**3 + 2*a**2 + 0*a**2 to the form t*a**2 + j*a**3 + f*a + h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(252)\/(sqrt(48) - sqrt(12))*-2)\/(sqrt(7) + sqrt(7) + (2*sqrt(847) - sqrt(847)) + (sqrt(63)*-3)\/sqrt(9))*-1.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3103 - 560 = -37*c. What is the least common multiple of c and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13945 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55\/1968 - -1\/48. Let h = 45\/82 - l. Suppose -g - 6 = -4*g. Is h at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 94, -4 in decreasing order.\nAnswer: 130, 94, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356 divided by -4.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5684561\/240 + -23685. Find the common denominator of 25\/184 and a.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71676 at least -71581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:07 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/270 - 2*c**4\/27 + 4*c**3\/9 + 21*c**2 - c. Find r such that o(r) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-27))\/(((-3)\/(-522))\/(4\/40)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(5))\/sqrt(8) - sqrt(3) - (sqrt(108) + (-1*sqrt(108) - sqrt(108)))) + sqrt(27)\/(sqrt(441)*-3 + sqrt(441)))**2.\nAnswer: 20667\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 4*f**2 - 4*f**2 + 1)*(-5*f + f + 8*f).\nAnswer: -4*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - s - 1, -59*g + 64*g = -2*s - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 738582 and 52494?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19100040 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11648 and 624?\nAnswer: 34944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2727.05 - -2734. What is s rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 252961592 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1904104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose -u*k + k = -2. Suppose 20 = -4*z, 2*m + 2*m = -5*z - 9. Which is the closest to k? (a) m (b) 1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396.75 rounded to the nearest 10?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 + 12*v - 4. Let n(i) = -2*i**2 + 4*i + 27. Determine -n(w) - 5*x(w).\nAnswer: 2*w**2 + w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 23 + 0*m + m)*(4 + 3 - 6 + 4 - 1 - 5 + (3 + 2 - 3)*(0 + 2 - 3) + 2 + 0 - 3 - 3 - 4 + 5 - 1 - 3 + 8 + (-1 - 1 + 0)*(1 - 1 + 2)).\nAnswer: -6*m - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009890618 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 243095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 213210003?\nAnswer: 213203303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.485 in -4, 2, -2\/13, -55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 347, 334, 215, -64, -557, -1318, -2401?\n\"Answer: -9*g**3 + g**2 + 47*g + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12982+2373.555333\nAnswer: 15355.555333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 6 - (-8)\/2. Suppose -r*x + 60 = 3*x. Let f(q) = 2*q**2 - 3*q - 2. Let b be f(4). What is the greatest common factor of b and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*k + 10 = -434*k - 62 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1725809\/2 or 862905?\nAnswer: 862905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 8:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*i - 624*i = 89*i - 24575 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -15. Let g be (-3)\/2*6\/s. Which is bigger: 2\/15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 40*r = -468. Let a be -8*4\/(-16)*2. Suppose 0 = -3*b + a*b - 63. Calculate the greatest common factor of b and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 307786307, 307786306, 307786305?\n\"Answer: -s + 307786308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.06 - -26.26. Suppose -3*s + 27 = 3*a, -a = 3*a + 4. What is the nearest to s in k, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) 3 (c) 0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 5.7 (c) 2 (d) -0.2 (e) 6\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, k: 4, a: 1, r: 4, t: 1}. Give prob of picking 1 k, 1 o, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 30885946?\nAnswer: -30885947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -178 and -99.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, 0, 3\/7, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0415828 - 6963\nAnswer: -6962.9584172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + 0\/(-4). Put -2\/5, u, 0.2 in descending order.\nAnswer: u, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 34 + 9 = 0. Let k = a + -11. Let g = k - -16. What is the smallest common multiple of g and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3467 and -7629.\nAnswer: -26449743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) + 4\/(1352\/(-4342))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 + -1.45. Let l = -0.95 - c. Let p = -1.1 - l. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21972 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*((-21)\/(-6) + -3). Let s be (-13)\/(-3) + c\/(-9). Suppose s*v = 2*v + 45. Calculate the greatest common divisor of 60 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 579, 583?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10449.236349 rounded to the nearest 10?\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357944402 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 - 6*v + 1. Let h be a(4). Let g be (-1)\/11*7\/h. Let b = -129.2 + 129. Do b and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 55.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggzzgzvgzg. Give prob of picking 1 z and 3 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -595 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -465*g + 19343. Let y(h) = 164*h - 6447. Calculate 6*d(o) + 17*y(o).\nAnswer: -2*o + 6459","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdqmqjum. What is prob of sequence jmmd?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 4*h**2 - 14*h + 24. Let v be k(-6). Suppose 0 = -37*u + 25*u + v. Suppose -84 = 3*i - 6*i. Calculate the remainder when i is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:53 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*q + 2*w, -q + 18 + 1 = 4*w. Suppose -3*n + 2*f + 1 = -q, -2*n - 6 = 3*f. Solve r + 3*r + c - 2 = n, 5*r + 5*c - 10 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 + -48.64. Let s = 51 + h. What is s rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p**2 + 0*p**2 + 4*p - 1)*(5*p**2 + 0*p**2 + p**2).\nAnswer: -12*p**4 + 12*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and 18.7417161442.\nAnswer: 33.7417161442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t*t*t*t\/t**(6\/5)*t*t**13\/(t*t*((((t**(1\/4)\/t)\/t)\/t*t*t)\/t)\/t))**(-20) assuming t is positive.\nAnswer: t**(-191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = 4*f + 2, -5*j - 3*f = 6. Let b(i) be the first derivative of 3\/10*i**5 - 3\/2*i - 4 + j*i**3 + 3\/2*i**2 - 3\/4*i**4. Factor b(l).\nAnswer: 3*(l - 1)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 25 = 36*s. Let z be 5\/(s\/6) + (-11 - -12). Put 32, 5, z, -3 in decreasing order.\nAnswer: 32, 5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96723 is divided by 3571?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 - 1110 - 1574 = -101*a. Calculate the greatest common factor of a and 4040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.311, 462, 2\/21 in decreasing order.\nAnswer: 462, 2\/21, -0.311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 5. Let y(u) = 4*u**2 - u + 11. Suppose 0*p - 6 = -2*p - 2*w, -2*p = -2*w - 14. What is p*k(j) - 2*y(j)?\nAnswer: 2*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1839*u**2 + 231*u + 209. Is q(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c444b (base 15) to base 5.\nAnswer: -124400341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103501500 rounded to the nearest 100000?\nAnswer: -103500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) -5 (b) -0.98 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and 856140.\nAnswer: -4537542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17470.629 rounded to the nearest 10?\nAnswer: 17470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 2, -177, 7, -22, -4, -41?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -6, 0.2, 85\/4, -5\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((910\/78)\/(-35))\/((12\/(-4))\/90).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 70*m + 5. Let t(s) = -s**2 - 105*s + 7. Determine -7*o(l) + 5*t(l).\nAnswer: 2*l**2 - 35*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 4 (c) 2\/9 (d) -3 (e) 2\/3941\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -6 (c) -1 (d) 0 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/14 + 4*r**3\/21 - 11*r**2\/7 - 24*r\/7 + 100. Solve d(p) = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13661 + -7594. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r\/(r*r**(1\/3)))\/r*r*r*r)\/r*r)\/r)**(-15))**(-47\/3)*(r**(3\/8)*r*r**(3\/4)\/r)\/(r*(r**(-2\/9)*r)\/r*r)**(-42) assuming r is positive.\nAnswer: r**(11219\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2070901 by 266.\nAnswer: -295843\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21786096800 rounded to the nearest 1000000?\nAnswer: 21786000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11607.\nAnswer: 3, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 422*o**2 + o - 205. What is f(211)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 0*o + 2*o - 2 - 1. Let n be b(5). Let f(z) = z**2 + 5*z**2 - 3*z**n. Let j(t) = -2*t. Calculate j(f(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-841*l**3 + 2 + 3*l**2 - 35*l**4 + 841*l**3)*(-40 - 45 - 35 - 108) as h*l**4 + u*l**2 + m*l**3 + r + a*l and give h.\nAnswer: 7980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -e56254?\nAnswer: -e56250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 743657461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -1, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10. Suppose -2*i + 2*p = y, -3*i + 8*i = 2*p + 6. Let u(n) = 3*n + 0 + 0*n + 1 - i*n. Give u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25186*k**3 - 25193*k**3 - 25197*k**3 + 75571*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3238, 6509, 9770, 13015, 16238, 19433?\nAnswer: 22594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 minus 0.10886?\nAnswer: 355.89114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 9:33 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -22. Solve 3*b + 3*a = d*a - 2, 0 = -2*b - 4*a - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -275*l**2 + 45*l. Let o(j) = 25*j**2 - 4*j. What is 45*o(a) + 4*z(a)?\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4893.031 + -4893. What is the nearest to 2 in x, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**3 + 3*a**3 + a**3)*(0 + 2 - 1) + (-6 + 6 + 3*a**2)*(4 + 2*a - 4) as o + j*a**2 + c*a + b*a**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 + (62 - 166 - 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/20 - 5*x**4\/3 + x**3\/2 + 2792*x**2 + 2689*x. Find the first derivative of p(q) wrt q.\nAnswer: 3*q**2 - 40*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3333 (base 5) to base 2\nAnswer: 111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and -241770?\nAnswer: -50771.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/724 or 0?\nAnswer: -1\/724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6805707, -13611414, -20417121?\nAnswer: -27222828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20906*j**3 + 16389*j**3 - 1515*j**3.\nAnswer: 35780*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 + -3.31. Let d = -844430933.59999989 - -844430937. Let j = a + d. What is j rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2884 is divided by 505.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**3*s**2 - 3*j*s**2 - 6*j - 195*s**2 - 3 wrt j.\nAnswer: 18*j**2*s**2 - 3*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + p)*(1 - 2 + 0)*(2 - 1 + 1)*(-75*p - 270*p - 149*p).\nAnswer: -988*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1458120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 495, 1279, 2381?\n\"Answer: 159*g**2 - 11*g - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:31 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.87644 decades in centuries?\nAnswer: 1.787644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Suppose y*j + 1 = 6. What is the least common multiple of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 9520*q**2\/3 - 19052*q.\nAnswer: q*(q - 6)*(q + 9526)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-27)\/(-6)) + (-128)\/12. Let w be (-2 + p)*9\/(-18). Let r(q) = q**3 - 5*q**2 - 5*q + 2. Calculate r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llw when three letters picked without replacement from {d: 1, l: 3, v: 1, q: 1, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -0.152, -0.07, -3, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117985381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158643 is divided by 7529.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 = -5*n - 4*r, 0 = 29*n - 34*n - 6*r + 816. What is the lowest common multiple of 66 and n?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 356457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) 5 (c) -3 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 - -242038?\nAnswer: 242013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 - 198 - 19*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1 - sqrt(77))*3)\/(sqrt(7) + (sqrt(7) - ((3*sqrt(175) - sqrt(175)) + sqrt(175)) - sqrt(7)))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 1220 - 116. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -571, -573, -573, -571?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -1 (c) 4 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 + -191. Let u be (4\/x)\/(68\/(-153)). Solve 2*p - 4*d = 22, -p + 2*d - 4 = -u*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/((-388)\/(-6208)*(12 - 0)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m - 2*k - 3, -8 = m - 4*k. Suppose m*f - 183 = -55. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - i**2 + 0 + 2*i**2 + 0 + (-2*i**2 - i**2 + 4*i**2)*(0 - 3 + 5) + 3*i**2 - 7*i**2 + 2*i**2 + 5*i.\nAnswer: i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 1703 = -185*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17770*f**3*s*v**3 + 152*f**2*s*v**2 - 2852*f*s*v**3 - 56*f*s*v + 5*s wrt f.\nAnswer: 106620*f*s*v**3 + 304*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.328452 to the nearest integer.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 228 = l - 5*l, -4*w = 0. Suppose -3*b = 3*x - l, 2*x = -3*b + 3*x + 49. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, 6 in decreasing order.\nAnswer: 26, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 28. Let c = k - -19. What is the nearest to 0.1 in c, 2\/17, -1\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 929*j + 1570. Let m(k) = -4*k**2 + 956*k + 1568. Let t(c) = 6*h(c) - 5*m(c). Factor t(v).\nAnswer: 2*(v + 2)*(v + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111 (base 2) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 7 + 11 + 0. Let i = b + 5. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 <= -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 1\/32*f**4 - 1\/80*f**5 + 1\/8*f**3 - 5\/2*f**2 + 0 - 1\/160*f**6 + f. Let d(s) be the first derivative of j(s). Factor d(h).\nAnswer: -3*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-3*1)\/(45\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1469 and 2852798?\nAnswer: 2852798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*b - 189 + 3149 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*153.5697.\nAnswer: 921.4182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:12 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 0.202\nAnswer: 0.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 2)*(-1 - 3*s + 0*s + s) to the form y*s + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4110\/(-411) - (-6 - 1)*1)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-2*l**5 + 0 + 0) + 5*l**5 - 13*l**5 + 3*l + 5*l**5 + (-l**4 - l**4 + l**4)*(-63 - 38*l + 63).\nAnswer: 39*l**5 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 - 44. Let t = 47 - 19. What is the greatest common factor of t and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10 (b) 0.4 (c) 5 (d) -304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -219795 at least as big as -219807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -649*c**3*d**3 - 2*c**2*d - 2*c**2 - 238*d**3 wrt c.\nAnswer: -3894*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 645971\nAnswer: -5\/645971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -316*t**4 + 460 wrt t?\nAnswer: -1264*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from qqqqqqqrrrqqqqqqrqq?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3165425474.\nAnswer: 2, 1582712737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648514 a multiple of 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28 = 5*l, -2*l + l = 5*v + 12. Suppose 0 = -3*j - j. Solve -y + 5*y - l = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*c - 50. Solve -y - c = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6015 divided by -1203?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -6 - -1 - 4) + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 14. Let f(v) = 3*v - 20. Let s(l) = -5*f(l) + 7*g(l). Let p(w) = -45*w + 9. Let q(o) = p(o) + 9*s(o). Differentiate q(x) wrt x.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p - 1 - 10*p - 4. Suppose -3*f = -w + 2*f + 17, -w + 8 = -2*f. Let i be w\/(-3)*-3 - -1. Give m(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*q - 8 - 8, -3*g = 5*q - 22. Let x be (-2)\/(-5) - (-38)\/5. Let c = x - 4. Solve 4*m + c*v + 7 = 5*m, -4*m - 8 = -g*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*j - 2267*j + 761*j + 754*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**7)\/r)**36*(r**(-4\/17)*r)\/(r**(-13)*r))**(1\/25) assuming r is positive.\nAnswer: r**(5113\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 - 6*c + 4. Let l be i(2). Let p = l + 13. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1 + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20793415 and 710.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let t(o) = o**2 + 10*o - 25. Let f(l) = -2*a(l) + t(l). Let z be f(-14). Which is smaller: 1\/6 or z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 - x**2 - x - 1. Suppose 4 = -5*q + 2*s - s, 0 = 5*q - 4*s + 1. Let r be p(q). What is the first derivative of 5*f**r + 2 + 2 - 3 - 8 wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*z + 2*p + 14, 2*z + 4*p - 18 = 0. Let g be -435*(-40)\/8688 + -1 + z. Let j = 699\/9050 + g. Which is the closest to -2\/3? (a) j (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4))**(-8\/9)\/(r**(2\/5))**7 assuming r is positive.\nAnswer: r**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -142\/1335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2322 and -4.\nAnswer: -9288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2180 and 77\/580.\nAnswer: 63220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -104*i**2 - 4*i - 2. Let a(y) = -202*y**2 - 10*y - 5. Let j(b) = -2*a(b) + 5*q(b). Let p(t) = 5*t + 1. Determine j(p(c)).\nAnswer: -2900*c**2 - 1160*c - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 45 + (15 - -8) - (-1 + 6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-10))\/(-2 + 3\/2). Let y(d) = d**2 - 317*d + 154*d - 3*d**q + 163*d. Let c(z) = 247*z. Give y(c(o)).\nAnswer: -122018*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -3 + 1 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**2 + 280*h\/3 - 64\/3.\nAnswer: 4*(h + 8)*(9*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*2*6 - (sqrt(209) - (sqrt(209)*1 - sqrt(209))*5 - sqrt(209)))\/(-4*sqrt(132)\/sqrt(3)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14457361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.68 + 0.08. Let f = 1 + t. Let i = 502 - 497. What is the smallest value in -0.5, f, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/111270 and -51\/46?\nAnswer: 2559210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24970495?\nAnswer: 5, 11, 454009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16107)\/234 - 2\/(-24))*-176.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 12, -o + 2 = -4*w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52877?\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 37*j**2 + 2. Let h(g) be the first derivative of 5*g**3\/3 - 72. What is q(h(r))?\nAnswer: 925*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 4, x: 1, z: 1, b: 2}. What is prob of sequence jb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750)\/sqrt(10) + sqrt(21)\/sqrt(7)*6 + 5*(sqrt(48) + 1)*2)**2.\nAnswer: 1020*sqrt(3) + 7903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h*h**1*h*h**(-4)*h*(h**(-1\/4)*h)\/h)**22 assuming h is positive.\nAnswer: h**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 2*j + 113. Let t(h) = -4*h**2 + 3*h + 116. Calculate -6*t(v) + 7*x(v).\nAnswer: 3*v**2 - 4*v + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4 - 1107*f**3 - 12723*f**2 + 45963*f - 32130 = 0.\nAnswer: -357, -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f*o**3 - 1661*f*o - 6138*f + 7 wrt o.\nAnswer: 18*f*o**2 - 1661*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:36 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r)*(2*r**4 + 0*r**4 + 0*r**4) + 11*r + 5*r**4 - 11*r - 2*r**5.\nAnswer: -4*r**5 + 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**(-6))\/(w**(-2\/3)*w*(w*w*w\/(w**(-2\/51)*w))\/w) assuming w is positive.\nAnswer: w**(-376\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2 - 15*a - 26 = 0?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229017, 456380, 683745, 911112, 1138481?\nAnswer: 1365852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11143 + 112?\nAnswer: -11031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7786012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/5 + 6\/10. What is the common denominator of -1\/5 and (l\/14)\/(36\/(-136))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:54 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 119645 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 22124192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19305.6296 to the nearest one hundred.\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let i(j) be the second derivative of -5*j**4\/12 + 2*j. Determine o(i(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, r: 2}. Give prob of picking 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1559, -3049, -4553, -6077, -7627, -9209, -10829, -12493?\n\"Answer: -j**3 - j**2 - 1480*j - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89.9 - 97. Let k = -7 - u. What is the second smallest value in 4, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -9507?\nAnswer: -9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 46890*u + 46892.\nAnswer: -2*(u - 1)*(u + 23446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 19*l + 3. What is the remainder when 250 is divided by t(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 minutes before 4:52 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:24 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2428828768949\/328799808 - -4\/5137497. Let x = b + -7386. Let p = 22969\/1542 - 16\/257. Find the common denominator of p and x.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 16*q - 340. Solve 3*v = -5*x - q, 2*v - 10 + 1 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791438?\nAnswer: 2, 395719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -518*b**2 + 18*b - 1586. Let d(n) = 129*n**2 - 4*n + 396. Let f(x) = 9*d(x) + 2*j(x). Differentiate f(p) with respect to p.\nAnswer: 250*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 greater than -404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*14\/8*((-10578)\/123 - -84)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.683 - 0.317. Sort -8, g, 5, 0.1 in increasing order.\nAnswer: -8, g, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19651815 < -19651815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2615 or -2614?\nAnswer: -2614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/42 and 6\/75*5 + (-6)\/(-9540)*-236.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 32*w - 35\/8*w**4 + 0 - 115\/3*w**3 + w**2 + 1\/12*w**5. Suppose f(p) = 0. What is p?\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-92)\/(-6)*(-48)\/(-336) and -53\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v + 556. Let l be b(-24). Solve -5 - 9 = 2*p + 2*n, -31 = l*p + 5*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9372, -9366, -9364, -9366?\nAnswer: -9372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704*g**3 + 1702*g**3 + 1175*g**3.\nAnswer: 4581*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2\/3, -4, 69\/59, 7\/25?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 965551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - h - 33. Let r be f(-12). Let j(x) = -x**3 + 448. Let m be j(0). Let p = r + m. What are the prime factors of p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -6316.\nAnswer: -6317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 5112 + 10239 - 5127.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (5 - 6 - (-1 - 1)) - (87 - 102)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 1 + 1 + 2. Let n be (-9)\/6 - c\/(-2). Suppose n*v - 30 - 50 = 0. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568177253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 12)\/(1 - -4). What is the nearest to 1 in f, -0.4, -5\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/4 + 3*c**3 + 3*c + 3. What is the units digit of j(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**2 - d - d**2 + 2*d**2 + 14*d**3 + 4*d - 10*d**3 - 1 in the form z*d + h*d**2 + c + p*d**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 2, -3\/244, -53, 2\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 161, 307, 443, 563, 661, 731?\n\"Answer: -p**3 + p**2 + 150*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96654, 96526, 96398, 96270?\nAnswer: 96142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20309*c - 1702*c - 10451*c as v + z*c and give z.\nAnswer: -32462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22858986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 0, 28*g = 25*g + 3*q + 48. Solve -18 = -g*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6655 divided by -61.\nAnswer: -6655\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a2 + 31?\nAnswer: 5d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 304803\/10 - 30539. Let h = q - -12707\/210. What is the common denominator of -47\/3 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 23481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 7*x**2 - 7*x - 1. Let y be z(-6). Let p(d) = -43*d - 593. Let k be p(-14). Solve k*r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*a**3 - 130133661*a + 31*a**3 + 130133661*a + 28*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 880400836 to the power of 1\/2, to the nearest integer?\nAnswer: 29672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 25 = 5*u. Let n = -4.2 - -1.2. Let q = 3 + n. Put u, -0.3, q in descending order.\nAnswer: q, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7640 and 19357040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**8\/4 - 5*b**4\/6 + 14*b. What is the third derivative of o(t) wrt t?\nAnswer: -1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458027 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17937 - 10589. Let r be (2 - 4)*6\/(-4). Suppose 3*d - r*o = o + 5511, -4*d = o - j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*w = 6, 0 = -2*i + 3*w - 4 + 16. Let d(j) = -8 + i + 16 + 2*j. Let o be d(-6). Put o, 0.2, 3 in increasing order.\nAnswer: 0.2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -11, -0.11, 2\/17 in descending order.\nAnswer: 2\/17, -0.11, -1\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 + 30 + 555*i - 553*i - 8.\nAnswer: 2*i - 275","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -12402 divided by 954.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k. Let a(s) = s**2 + 5*s. Let z(r) = 9*r. Let p be z(1). Let c = p + -6. Calculate c*w(g) + 2*a(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.0331253.\nAnswer: 0.0662506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -1\/19 (c) -9 (d) -1\/7 (e) 1\/3 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158972\/52 + 32\/(-208)?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4 - 697329*j**3 + 40581*j + 5 wrt j.\nAnswer: 12*j**2 - 4183974*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/3 (b) -293 (c) -53\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 748.7914942743 - -0.2085975257. Let v = 749 - y. What is v rounded to 6 decimal places?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*o + 1113*o = -29106 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*6*10\/(-45). Let v = 13 - 7. Let g be ((-6)\/u)\/(v\/12). Solve -g*j = 1 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmemmmeeeemm. Give prob of sequence memm.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 280*i**3*o**2*z**2 - 15*i**3*z**2 + 3*i*o*z - 5*o*z**2 wrt o.\nAnswer: 560*i**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135405313 and 4919.\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28433, 28457, 28521, 28637, 28817, 29073?\n\"Answer: 2*s**3 + 8*s**2 - 14*s + 28437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Suppose 4*n - 18 = -5*r, 10 = 3*n + 4*r - 4. Let d(x) be the first derivative of -n + 2*x**2 - 3*x**2 - 4 + 3. Give d(z(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*f = -834, -5*t - f + 1052 = -2*f. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 7*n + 98. Suppose -3*l - 2 = -o, -o - n*l + 22 = 3*o. Solve 3*w - 20 = -o*a, -4*a + 5*a - 3*w + 14 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -552*g + 102241. What is d(185)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -233\/3. Which is the closest to 0.01? (a) 0 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29022056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109560*n**2 + 212135?\nAnswer: 219120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*w - 3*w = 5, 3*w - 4 = 5*p. Let n be 1 - p - (0 - 180\/(-32)). Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*48319.4.\nAnswer: 48319.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -1. Let g = 0.1 - 0.6. Sort g, -3\/5, o in decreasing order.\nAnswer: o, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23089, -1, 2\/3, -3, 0?\nAnswer: -23089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0 + 1 = -4*d, -13 = g - 5*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-30) - 567\/(-5). Let o = n - 49. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18083 - 17139. Which is smaller: w or 951?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3201134 and 6?\nAnswer: 9603402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/617, 1703.\nAnswer: -1\/5, 2\/617, 1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1110*j**4 - 25*j**3 + 1110*j**2 + 25*j = 0.\nAnswer: -1, -5\/222, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (1 - 6) - -1. Let u(o) = 4*o + 1. Let d = 24 - 22. Let h(j) = -d*j - 4 + 0 - j + 3. Calculate s*h(c) + 5*u(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10149 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*u + 460*u + 11661 + 11373 = -12275 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -27*g - 318 + 156 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-40)\/(-45)) + -5. Calculate the highest common factor of 10 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 11:51 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 4*u + 3*u)*(2*u - 3*u + 3*u)*(19 - 1 + 11) in the form l*u**2 + i*u + k and give l.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 3*h - 59 = -34, 3*h = -2*q + h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzvzztztnxvzz. Give prob of sequence tzt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 2607*k - 2604*k - 142 = 0, 3*k = -s + 47 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11*y**2 - 5*y + 2. Let u(o) = -o + 5. Let t be u(-4). Let f(h) = -5*h**2 - 2*h + 1. Suppose -p = -1 + 5. What is p*d(x) + t*f(x)?\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/10 + 2911*b**3\/10 + 207361*b**2\/5 + 157754*b - 2418636\/5 = 0.\nAnswer: -2761, -146, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -663562, -2654835, -5973622, -10619923, -16593738, -23895067, -32523910?\n\"Answer: -663757*t**2 - 2*t + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, 378, 566, 754, 942, 1130?\n\"Answer: 188*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -296, -624, -1042, -1526, -2052, -2596, -3134?\nAnswer: -3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(5 + -4)*-2. Let w = -6 - -7. Sort w, 0, h in descending order.\nAnswer: h, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.1. What is the nearest to 0.2 in 3, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122877 - -0.2.\nAnswer: -122876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - -9) - 25 - -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*a = 9, 7*a + 5 = -5*d + 4*a. Let m be (-4 - -10)\/(d\/(-2)). Solve 2*f - 5 = m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185 in 1, -4.7, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170934 is divided by 446?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v**5 - 1025*v**4 + 10770*v**3 + 129920*v**2 + 300064*v - 7680 = 0. Calculate v.\nAnswer: -16, -5, -4, 2\/79, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -4 - (-4 + 1). Suppose 4*f = n + 3 + 8, -3*n + 3 = -z*f. Suppose -5*c = s - 9 - 6, 4*s + 15 = n*c. Which is greater: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x. Let z(a) be the second derivative of a**5\/20 + a**4\/12 + 9*a**2\/2 + a. What is z(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3162, 0, -3.\nAnswer: -3, 0, 3162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -191*g + 3424. Let z be u(18). Let t = 139\/6 - 23. Which is the third biggest value? (a) 0.2 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (12 - (7 - (22 + -7))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**2 - 10*u**2 + 11*u**4 + 8*u**4 + (3*u - 3*u + 2*u**3)*(-1 - 2*u + 1) + 2*u**4 + 0*u**4 - 3*u**4.\nAnswer: 14*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let y(s) be the third derivative of -2*s**2 + 0*s + 0 - 5\/24*s**4 + 0*s**3. Calculate y(n(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -19. Suppose s*x = -4*h + 156, 4*x - 74 = -3*h + 84. Let -43*c**5 - x*c**5 + 81*c**5 = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -344149\/18 + 19114. Find the common denominator of s and -51\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12882677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -27096695.533 and 0.5.\nAnswer: -27096695.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let m(y) = -160*y - 6. Let s(r) = -482*r - 17. Let f = -893 - -904. Let z(t) = f*m(t) - 4*s(t). What is z(j(a))?\nAnswer: -336*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10103 + -10292.296. Let n = v + 192. What is n rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 1 d when three letters picked without replacement from kykyyyyydmccyyccckyk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14*o**3 + 4*o**2 - 7*o**3 + 5*o**3 + 2*o**4 - 5*o**2 to the form s*o**4 + j*o + g*o**2 + a + m*o**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from nonppfoopnzofopozofp.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 + -0.18. Let x = -0.3 + 0.4. Which is the nearest to o? (a) -1 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161120 and 36040.\nAnswer: 2739040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c - 2*w + 976 = 0, 2*c - 980 = -3*w. Suppose -4*g = -2*g + 3*r - 379, g = 2*r + 193. Let f = c - g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*f**2 + 1\/3 - f.\nAnswer: -(f + 1)*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 1 + 13 - 5. What is the units digit of z(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9515745?\nAnswer: 3, 5, 70487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*k + 62 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 14*k**3 - 5*k**3 - 12)*(-2*k + 2*k - k)*(2 + 2*k - 2).\nAnswer: -18*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 4*i + 1\/6*i**3 - 1 + 3*i**2. Let u(j) = -j + 1. Calculate -f(a) + 4*u(a).\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y = -6. Let g(w) = 3*w - 11*w - 57 - 12*w + w**y + 4*w. List the prime factors of g(-10).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06235 + -0.11935. Which is the nearest to -2\/5? (a) f (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23020 + w + 7209 + 2*w.\nAnswer: 3*w - 15811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 800 = 46*n - 43*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**2. Let y(a) = -28*a. What is c(y(s))?\nAnswer: 6272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/3 - -4 - (-936)\/(-240). Let x = 141 + -707\/5. Let j = 2.04 + -0.04. Which is the second biggest value? (a) j (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -129, 2, -3.\nAnswer: -129, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 12 = -2*w, w = -5*o + 7. Suppose n = 5*d - 14, -o*n + n = 2*d. Suppose -y = -d*y. Is y bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (-29 - (17 - -10)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-433*y - 196*y - 37*y)*(-3*y**2 + 3*y**2 - 5*y**2) to the form r*y + q*y**3 + l*y**2 + u and give q.\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 417 - 417 + 2*j. Let k(c) = -3*c - 6. Calculate z(k(x)).\nAnswer: -6*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (86 - 89)) + (59 - (-2 + 2))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.126.\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-1)\/k))**0\/(k*k*k\/((k**(-3)*k)\/k))**(-3\/28))**(-2\/59) assuming k is positive.\nAnswer: k**(-9\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4209181 or 4209147?\nAnswer: 4209181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(576\/40)*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 5 - 17*z**4 + 9)*(2 - 2 - 3).\nAnswer: 51*z**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(65) + sqrt(65) + -2*sqrt(65)))\/(sqrt(125)*1) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1008) + sqrt(1008) + -1 + sqrt(1008))*5*-5.\nAnswer: -900*sqrt(7) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*o - 842*o - 79*o.\nAnswer: -682*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4868*a - 141044. Determine q(-29).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1.6, -4, 3\/16, 3\/5, -109?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1976054*x + 1976041*x - 3952092*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2)\/((-5)\/(-75)). Let i(w) = w + 20 + 5*w**2 - 6*w + 0*w + 3*w. Is i(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 36*n**2 - 7. Let c(d) = d**3 - 1. Calculate -3*c(j) + t(j).\nAnswer: -2*j**3 - 36*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2509 less than -423999.0981?\nAnswer: -421490.0981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*t**2 + 127*t**2 - 4*t**2 - 38*t**2 - 19*t**2.\nAnswer: 441*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/44*4)\/((-12)\/66). Sort 7, 1, -14, j in descending order.\nAnswer: 7, 1, j, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w + 497 - 57 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 91.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + t + 33 = -2*w, 3*w - 98 = 2*t. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 832 = 21*v. Let u = v + 253. Suppose 3*w - 64 = 2*b, -4*b = -4*w - b + 84. What is the remainder when u is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 11*i - 11. Calculate the remainder when n(-9) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 317 - 409. Let w = i + 92. Solve -p = 3*v - 13, -5*p = -w*v + v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 3795737?\nAnswer: -3795735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 + b**3\/3 + b**2 + 18*b. Let j(d) = 7*d**2 - 13*d - 13. Determine -6*j(g) - 39*u(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 944312 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9760098862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 19. Suppose -3*u**2 + u**4 + 15 - 2*u - n = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2*(-16 - -4). Suppose y + y = c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505 is divided by 1929?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 358 - 2. Suppose 0*b - 86 = -b - d, -2*b - 4*d = -u. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 341544 and 13?\nAnswer: 4440072","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2483 and 9763.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106083703 rounded to four decimal places?\nAnswer: -0.1061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/3 - 5*g**2\/2 - g. Let k(p) = -12*p - 14 + 12*p + 3*p**2 + 8*p**2. Give -17*b(n) + 6*k(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.235*-0.2\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 3*t**2 + 2*t - 1. Let c(h) = 2*h - 2. Let v be c(3). Suppose v*k + 2 + 6 = 0. Give w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86486876 and 376685?\nAnswer: 432434380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*b. Let r = 1 - b. Let f(w) = 3*w + 2. What are the prime factors of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000100496829 rounded to 7 decimal places?\nAnswer: 0.0001005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*a = -0*f - 21, -f + 10 = 4*a. Suppose -f*k - 2 = -8*k. Let u be (-3)\/(-3)*((0 - k) + 1). Solve g = -u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*v**3 - 3 + 3 + 318*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -8, 0.5 in increasing order.\nAnswer: -8, -5, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -57*r**2 + 9*r + 7. Let x(m) = -29*m**2 + 5*m + 4. Let u(c) = -6*b(c) + 11*x(c). Let s = -74 + 73. Is u(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -611, -1135, -1659, -2183, -2707?\n\"Answer: -524*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/14 or -1?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -34. Suppose 1 = 2*a - 7. Suppose 4*v = 0, -a = -4*d + 2*d + 2*v. Solve d*p + 15 = -t*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -47*r - 12. Let c(i) = 16*i + 4. Determine 11*c(j) + 4*s(j).\nAnswer: -12*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 28\/(-7) + -16. Suppose 0 = -4*i - 5*p - 4 + 7, 0 = 4*p - 12. Let k be y*i*2\/4. Calculate the highest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20*c**4 + 87*c**2 - 5 + 117*c**3 + 53*c**4 + 15*c + 5*c**5 - 17*c**5 = 0. What is c?\nAnswer: -1, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168\/1895 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5026957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21679 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 - 70*w**4 - 1714*w**3 - 9994*w**2 - 15136*w - 6784 = 0. What is w?\nAnswer: -8, -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 101 - 23 = -4*f, -2*f + 83 = 5*j. Calculate the smallest common multiple of f and 22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 498339?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.2, 6, 132, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*a = -211*a - 6642. What are the prime factors of a?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567)*2 + sqrt(567)*1*-1 + sqrt(567) + 2*(sqrt(567) + sqrt(567) + 3 + sqrt(567) - sqrt(567)) + sqrt(567)*1 + 1)*-3)**2.\nAnswer: 3402*sqrt(7) + 46368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 1601726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1728 + 1759. Is 30 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2 = 31*o - 30*o, 2 = -5*o + 3*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4600 and 5336?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 6}. What is prob of picking 2 p and 2 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - (7 + -5 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33931 is divided by 6762?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -25. Solve 3*b - 6 = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(15) + sqrt(15)*-2) + (sqrt(15) - sqrt(105)\/sqrt(7))*4)\/(sqrt(432) - ((sqrt(432)*-3 - sqrt(432))*-2 + sqrt(432))).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9333, -18668, -28005, -37344?\nAnswer: -46685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnnqqnnb. What is prob of sequence nbnq?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -418, -420?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53802103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*-2*2*sqrt(85))\/((sqrt(45) - 3*sqrt(45)) + sqrt(245) + -3*sqrt(245) + sqrt(245)).\nAnswer: -64*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*4\/(-24))\/((-8)\/128).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39191\/2 - -19597. Find k such that 1\/4*k**3 + 9\/4*k + 1 + o*k**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-3*-1*-6)\/(3*sqrt(324)*-1).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m + 2. Let b(k) = -k. Let r(o) = -2*b(o) - u(o). Let w = -37 + 35. What is r(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2070 + 2064 = -r, -2*n + r = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 2238768 = 1554742. Suppose -2*o + a = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428538 is divided by 107119?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 137771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-1)*2\/6. Suppose -q = c - 5. Suppose -11 - 73 = -q*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 3*z - 2. What is q(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 2610. Let t = q - 352. Suppose 4*y - 6*c + 4*c - t = 0, 188 = 4*y + 4*c. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3318789*f**3 - 1499590*f**2.\nAnswer: 19912734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i**3 - 260*i**2 - 1035*i + 810 = 0. What is i?\nAnswer: -9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7129 - -7128. Let p = 23\/2 + -10. Which is the closest to 1.5? (a) p (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84599.03 hours in milliseconds?\nAnswer: 304556508000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 14*x**2 - 57*x + 24. Determine p(-8).\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 201?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/4 + 10*j**3\/3 + 9*j**2\/2 + 7*j + 3. Let i be u(-9). Is (-2)\/(-7) + 145\/i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3 - 296*l**2 + 6090*l + 393588 = 0.\nAnswer: -26, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 + 4*d + 1. Let q be p(4). Suppose -7 = 4*n - 11. Is n at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43317813 to the nearest integer?\nAnswer: 6582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 140*q + 145. Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 53 = -4*o, 413*k + 39 = -2*o + 416*k for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374049.\nAnswer: 3, 13, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 11:44 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3062, -6104, -9126, -12122, -15086, -18012, -20894?\nAnswer: -23726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514534877.\nAnswer: 19, 557, 48619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**6 - q**4. Let w(o) = 10*o**4 - 4*o**2. Let h(f) = 10*m(f) + w(f). What is the third derivative of h(a) wrt a?\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*c + 281*c - 106617 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34201\/(-8855) - -11 - 5\/(15\/21) and -26\/595?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*b - 2*k, 51*k - 77 = 4*b + 56*k for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27746 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2889, 23225, 78423, 185913, 363125, 627489?\nAnswer: 996435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4940626 milligrams to micrograms.\nAnswer: 494.0626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 13*m + 25 + 20*m)*(-164 + 91 + 89).\nAnswer: -32*m + 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -2. Suppose 0 = 2*g - 2 + 12, -3*g - 1 = 2*h. Let n = l - h. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 49 = -3. Suppose 3*p - 6 = -4*c, c + 8 = -c + g*p. Solve 5*n - 2*z + c = -1, 5*z + 10 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -15*l + 51*l. Let n(j) = -j**3 + j**2 - j + 4. Let a be n(0). Let s = a + l. Solve 2*h = s*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*o = -136*o - 478 - 82 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233581273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1576*r*s**3*v + 203*r*s*v + 7*s**3*v - 5*s**3 + 4*s**2*v - 12*s**2 - 2*s*v wrt r?\nAnswer: 1576*s**3*v + 203*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2580 + -2558.0045. Let o = i + -22. Round o to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose -3*f = -5*l, -l + 3*f = -o*f. Does l = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 86)\/(1995\/1330)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/162, -0.71, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3982 is divided by 1991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 27 - 21. Suppose 0 = -u*y + f + 2723, f - 1357 = -y - 3*f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*f + 5*f + 25 = 0, 3*s - 4*f - 14 = 0. What is the common denominator of (s\/5)\/(64\/(-380)) and 57\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58604387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + (-22 - -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -414? (a) -4 (b) -5 (c) 31\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255 and (-2040)\/(-50)*(-55)\/(-176)*8.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - (-5 - -5) - -7 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 45 = -2*w, 3*w + 0*p - 75 = p. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 5*h**4\/8 - 6*h**2. Let o be l(1). Find the common denominator of -50\/3 and ((-8)\/o)\/((-3)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.69 times -3\nAnswer: -8.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:23 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 367295302 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 959 + -882. What is the remainder when 99 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:25 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011 + -10010100011011110000?\nAnswer: -10010100011101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*i**3 + 4*i**2 + 8*i - 5282 with respect to i.\nAnswer: -138*i**2 + 8*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 - 746*f**3 + 25*f - 7.\nAnswer: 36*f**2 - 4476*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1262*i**2 + 1231*i**2 + 5*i - 8*i + 3*i.\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 - 11542*a\/3 + 69244\/9.\nAnswer: 2*(a - 17311)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/5, -2\/13, -4, -6\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*w + 8\/3*w**2 - 32\/3 + 4\/3*w**3.\nAnswer: 4*(w - 2)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2. Let s be 75\/4 - 17\/(-68). Let b(v) = s*v**2 + 22*v**2 - 57*v**2 + 12*v**2. Give b(l(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 79*p**3\/6 + 3*p**2\/2 - 19*p. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 != -0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 20*w**3\/3 + 15884*w**2\/9 + 11624*w\/9 + 704\/3 = 0.\nAnswer: -264, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/267392 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 211, 764, 1861, 3688?\n\"Answer: 31*u**3 - 7*u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 31 + 21. Suppose 4*x + 14 = 34. Suppose -27 = -3*h - x*p, -2*h - p = -5 - 6. Solve -h*w + 28 = 4*f, f = k*w - 1 - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 939*b - 8449. Determine r(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 825 = -7. Let h = -177 - -190. Calculate the remainder when g is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ununuuuuuuu. Give prob of picking 2 u and 1 n.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:26 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 228, 562, 1016, 1590?\n\"Answer: 60*j**2 + 154*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {r: 9, t: 2, a: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**2 - 7*w + 371. Let a(f) = 4*f**2 + 4*f - 186. What is 7*a(z) + 4*s(z)?\nAnswer: -4*z**2 + 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12099991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 574756.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 762 + -295. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o + 2. What is a(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + u + 2. Let j be y(2). Suppose 34*k = 27*k + 21. What is the second derivative of 4*m + 4*m**2 - k*m - j*m**2 wrt m?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 17 + 5*x - 5*x - 3. Let u be i(-5). Suppose 5*t = 4*f - 45 + 158, -12 = -u*f. Calculate the remainder when t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2668 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -0.2, 62\/13, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -178*g**3 - g. Let p be c(2). Let k = -5613\/4 - p. Find the common denominator of k and ((-99)\/(-6))\/(0 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:13 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73588835 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 6. Let s(f) = -9*f + 11. Let q(v) = -11*m(v) - 6*s(v). What is q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-318)\/(-14) - 8 - 15. Are o and -1849\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 38*u = 43*u + 1, 3*a - 5*u = 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from ullllllullll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 2*m - m + 2 + 15*m - 2 + (-2*m + 2*m + m)*(1 - 3 + 1) - 2*m + 2 - 2 + 3*m + 5 - 5.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24965 - -24971. Solve 2*c - 2*q = -n, -5*c = -6*q + 2*q + 18 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 597275*p*s - 183474*s - 1 wrt p.\nAnswer: 597275*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93.5298 + -94.76. Let n = 0.3 + -1.52. Let k = n - j. Round k to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/18 and -35\/109197.\nAnswer: 218394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -430718, -861365, -1291844, -1722071, -2151962?\n\"Answer: 14*t**3 - 430745*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4333 - -4340. Let t be 108\/5*(-2)\/(-6). Are t and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 66685701?\nAnswer: -66685705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11 = -n, -2*k - 4*n = -2*n - 18. Let f = 0 + 0. Let l be 33 - (1 - (0 - f)). Calculate the greatest common divisor of l and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + j + 0 + 16 = 0, 5*j + 32 = -3*b. Let r = 20 - b. Suppose -36 = -5*h + r. Solve -3*q - h = x, -x - q = -4*x + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 74047.\nAnswer: 592376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050 = 3*s - 10*s. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 8. Let k be h(6). Suppose 4*j - k - 4 = 0. Find the third derivative of g**j - 2*g**5 - 3*g**2 + 0*g**2 wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, 3 in decreasing order.\nAnswer: 31, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2864.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -2*d - 2*d. Let a be 2 - -2 - d - (-2 + 0). Let o = a + 247. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (c - 4*c + 1 + 1)*(1142424*c - 6958*c**3 - 1142424*c) as j*c**3 + m*c**2 + n*c**4 + v*c + q and give n.\nAnswer: 20874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 42. Suppose -2*l - 11 = 19. Let k = -7 - l. Calculate the remainder when h is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5211.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -707520251 - -4?\nAnswer: -707520245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10 + t - 3 + 0*t + 0. What are the prime factors of j(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -9*b + 60. What is the derivative of -b*s - 14*s + 23 - 20 wrt s?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let a be m(-9). Is -838*-1*(-4)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111011021112 (base 3) to base 7\nAnswer: 2126045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -44. Calculate the highest common factor of 30 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 35 + 2*r - 13)*(5 - 1 - 2) in the form s + i*r and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/(21 + -7) + 9. Solve -4*p - y = 8, -2*y = -a*p + 14*p + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -17. Let p(m) = m + 11. Let y be p(v). Solve -y + 10 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120010 (base 3) in base 10?\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, -97, -538, -1193, -2026, -3001, -4082?\nAnswer: -5233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04585 - 5.95415. What is the biggest value in t, 16, 1\/5, 1\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g - 12. Suppose -3*k - 135 = 3*j, 7*k - 33 = j + 4*k. Let d be 62\/g + 7\/j. Solve o - 1 - 2 = -4*h, 3*o - 9 = d*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 1. Give z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857884.51 rounded to the nearest ten thousand?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5171255*f*s - 6126529*f wrt s.\nAnswer: -5171255*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 8 = -5*v. Let t(i) be the first derivative of -4*i**2 + 4*i**4 + 22 + i**2 + v*i**2 - 4*i**2. Find the second derivative of t(g) wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16978 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-3))\/(14\/84). Suppose 5*f + 4*z = -22, -f - 20 = f - 4*z. Let i = f + r. Sort i, 3, -4 in ascending order.\nAnswer: -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -553.8 (c) 3.01 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239 and 0.1.\nAnswer: 23.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c**2*d**2*q**2 - 3*c**2*d*q**2 - c**2*d*q + c*d*q - 5*d**2 + d*q wrt q.\nAnswer: 18*c**2*d**2 - 6*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let t(r) be the second derivative of r**4\/6 + 7*r. Determine t(i(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:17 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let z(r) = -2*r**2 + r. Let d = -432 - -408. Let m = 20 + -17. Let n(f) = d*s(f) + m*z(f). Find the second derivative of n(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 9*n**4\/4 + 2*n**3\/3 - n**2\/2 - n + 1011. What is i(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5791 by 193.\nAnswer: -5791\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 17*z + 7*z - 25*z to the form s + h*z and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/3)\/((-24)\/(-22140)). Suppose -6*a = -s + 792. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.5 and 1.6.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 2*j**2 + 9*j**2 - 4*j**2 + j**2 - j**2 + j**2 + 0*j + 0*j + (0*j + j + 3*j)*(3*j + 0 + 0).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + 4.3?\nAnswer: 4.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 - 3*p - 3. Suppose -6 = -4*l - 2. What is the lowest common multiple of b(-5) and 5 - l*(2 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*m - 154381 + 424651 = 0. Calculate the greatest common factor of 1232 and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4666.\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -w - 33 + 66, -5*w - 2*m = -149. Solve 25*s - w*s = a - 24, 3*a = 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 60. Let f be q(-19). Let b be f*((-12)\/(-9) + -2). What is the third smallest value in -1, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, 0.01, -1\/7, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/(-26))\/(126\/168).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {q: 1, d: 2, w: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(528) + sqrt(528)*2)*-6)\/(-5*4*sqrt(9)\/sqrt(3)).\nAnswer: 72*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(228))\/sqrt(4))\/((sqrt(18) + sqrt(36)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/(-100))\/(1\/216). Let q(m) = m**2 - m - 2. Let u be q(5). Calculate the greatest common divisor of z and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/553 or -56435?\nAnswer: 2\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -473.8 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238154, 238170, 238186, 238202, 238218?\nAnswer: 238234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 2011?\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1082281\/40716 + -771\/29. Find the common denominator of -37\/273 and j.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (267 + -263)*-28*1\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.021 and -0.01.\nAnswer: 0.01021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*h*k*p**2 + 9*h*k*p*x - 14*h*k*p + 116903*h*p**3 - h*p**2*x + 50*h*p*x + 7*p wrt p?\nAnswer: 132*h*k + 701418*h*p - 2*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*o = 21. Let q(r) = 3*r - 10. Let u(j) = j - 3. Let b be (-16)\/104 + (-4)\/(-26). Suppose -2*d = 3*v, d = -b + 3. Calculate o*u(k) + v*q(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91064730 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 27 = -3. Solve -o = 4*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 308 - 224 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 v when three letters picked without replacement from {v: 4, r: 3, s: 8, j: 1, u: 1}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/530 and 7\/265?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 6*v**2 + 5*v - 29. What is the tens digit of x(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32292 (b) 0.3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -cb76 (base 16) to base 10\nAnswer: -52086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -d - 13, d + 4*v + 2 = -d. Let a be (-3)\/d - 24\/(-9) - 1. Solve 0 = -m - m - 8, -5*m - 26 = -a*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -67. Calculate the lowest common multiple of p and 31\/5 - 1\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32670587 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 2*g - 3. Let i be u(1). What is the hundreds digit of 0 + 126 - (i + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((44\/(-55))\/(2\/10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 0. Let f = -37.2 + v. Let m = f - -7. What is the second smallest value in m, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u**2 - 3*u. Let w be (-2)\/6 - (-14)\/6. Let m(y) = -3*y**2 - 2*y - 2. Let c(z) = z**2 + z + 1. Let g(s) = w*c(s) + m(s). Determine g(k(q)).\nAnswer: -169*q**4 - 78*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 538 - 691 + 15*n.\nAnswer: 2*n - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 8) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 0, -7, -1, 691, 5, -4.\nAnswer: -7, -4, -1, 0, 5, 62, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443 - -1554 - (-1 - -59)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 - 2) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/57 and 4 + (-947)\/228 - ((-32)\/(-6) + -5)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519636 and 92508?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102542 and 0.18?\nAnswer: 18457.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + -4 + -25 + (15 - -3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 31*h**2 - 1118*h - 7713. Determine n(42).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 + 3. Let x = -0.5 - -1. Suppose 21*n - 6*n = -75. Put o, x, n in decreasing order.\nAnswer: x, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100? (a) 3 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6910, -6881, -6852?\n\"Answer: 29*v - 6939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 1 r when three letters picked without replacement from kvsrubb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 8 + 2 + q + 2 + 2*q**3 - 6*q**2. Let g be h(6). What is the second derivative of -j**g + 10*j + 3*j**2 - 5*j + 3*j**2 wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1323)\/294*(-4)\/(-162).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 11*s + 31, -3*s = -t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 3*o**3 + 1252*o**4 - o - 626*o**4 - 14 + 3*o**2 - 628*o**4 to s*o**3 + a*o**4 + j + k*o**2 + c*o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -p + 5*q - 14, -2*p + 3*q = 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/(-8))\/(-2))\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**3 + 2*g**2 - 41*g + 203. List the prime factors of c(8).\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -49*c**7\/2 + 30919*c**6\/10 - 630*c**5 - 4706*c**4 - 3416*c**3 - 1080*c**2 + 1210*c. Let d(m) = 0. What is m?\nAnswer: -2\/7, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose -5*f + f = o. Suppose -17*u + 13*u = -5*d - 5, -2*u + 3*d = -1. Solve -u*g - 3*w + 19 = 0, -2*w + f*w + 2 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.35, -1.5, -3.\nAnswer: -3, -1.5, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1185\/13 + 91. Sort 2\/3, k, -0.3.\nAnswer: -0.3, k, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**4 - 2*o**4 + 0*o**4)*(-5 + o + 5) - o**5 + 0*o**3 + 0*o**3.\nAnswer: -21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66, -240, -530, -936, -1458, -2096?\n\"Answer: -58*t**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from gjjggqjggjg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226590, -453174, -679758, -906342?\nAnswer: -1132926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 336 = 3*k. What is the highest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -28*o + 10 - 3*o**2 - 31*o + 13*o**2 + 0*o**2 + 98*o. Let q be c(-4). Solve -3*z - q + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*t + 4*t. Let r = 35 - 35. Suppose 13*w - 14*w + 16 = r. Calculate the smallest common multiple of t and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9861? (a) -1\/4 (b) -13 (c) 10 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = -3*f + 2*x, -2*f - 2*x + 4 = 0. Let l be 742\/12 + 6\/(-3). Let g = 60 - l. Is f at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:41 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 264*z + 8358. Suppose -5*c + 2 = -123. Calculate the remainder when s(81) is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-108)*(-7)\/((-7)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/1246 - 32864\/(-20826)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91933 and 1639.\nAnswer: 1011263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 3\/2, -5, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162511960?\nAnswer: 2, 5, 13, 59, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(700) - sqrt(700)*2*6)**2 + 1*(2 + sqrt(700) + sqrt(700))**2.\nAnswer: 80*sqrt(7) + 87507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 53 (b) 0.4 (c) 0.3 (d) -7 (e) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -986249 = -986252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.117182 times -0.034\nAnswer: 0.037984188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (0 - (-2 + 3)). Calculate the common denominator of 2\/(-6) - 2\/p and 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575\/(-252) + (4914\/104)\/21?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -48121\/50 (c) -2 (d) 0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = 3*c - 7*c. Let v be 2 + 0 + (c - 0). Suppose 0 = -0*n - 5*n + v. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((-625)\/10)*15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -68143.09385.\nAnswer: -68145.09385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301011 - -104204?\nAnswer: -152403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -952*-3\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -r - 4*q, 0*r = -4*r - 5*q + 10. Suppose 5*n - 125 = -115. Solve -3*u + n*u + 4 = r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 2. Let v(o) = 15*o**2. Let s be v(-1). Let l = s - 7. What is the remainder when l is divided by j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*p + 3 + 1, a + 2 = 2*p. What is the derivative of 2*h + a*h + 205*h**3 + 313 - 4*h + 73*h**3 wrt h?\nAnswer: 834*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, -327, 26.75?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7083 - -9?\nAnswer: -7076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4806 - 4606 = 40*s. Solve -5*z = -5*q, 0 = -4*z + s*q - 13 + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112*-20*(-17)\/(-1360).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -177551051, -177551053, -177551055, -177551057, -177551059, -177551061?\n\"Answer: -2*x - 177551049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**5 + 304*h**4 + 5292*h**3 + 4400*h**2 - 10000*h = 0.\nAnswer: -50, -25, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132648962 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(2*4\/8). Suppose 7 = -2*y - v. Let x(p) = p**2 + 3*p + 1. Calculate the remainder when 54 is divided by x(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86186.\nAnswer: 2, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 18*c**2 + 3*c + 2*c**2 - 13 - 7 - 16*c. Let u(i) = -7*i**2 + 7*i + 7. Suppose -42 = -2*p - p. Give p*u(r) + 5*m(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f - 28*f - 1050 = -41*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, y: 3, t: 2}. Give prob of picking 1 y and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39292 and 403636?\nAnswer: 4439996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 10509 (b) -6 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f + 9*f**3 - 12*f + 56*f + 1923.\nAnswer: 9*f**3 - f + 1923","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(13)*3 + 2)**2 + sqrt(78)\/(-3*sqrt(150)))*1.\nAnswer: 358*sqrt(13)\/5 + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/574 or -1?\nAnswer: 3\/574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -7 (b) 1 (c) -2023 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3 - j**2*y + 8*j*y + 226*y wrt j?\nAnswer: -3*j**2 - 2*j*y + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3252\/27)\/4 + 13\/(-117). Let x(z) = -3*z + 3. Let m be x(3). Let i be (-12)\/4 - a\/m. Solve 4 = -3*v + i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21164?\nAnswer: 2, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16817 (base 10) to base 13.\nAnswer: 7868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1 = -4*x + 3*b, 2*b - 8 = 3*x. Let h be (15\/(-6))\/((-10)\/x + -6). Put -2, -1, h, -0.5 in descending order.\nAnswer: h, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -0.29. Let i = o + -0.1. What is the closest to -1 in -3, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 343 - -63. What is the greatest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - o**2 + 1. Let t = 15 - 10. Let c(k) = k - 13. Let d be c(t). Let i be -2 - (-4)\/(d\/(-6)). Determine v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 11. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6979 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.1. Suppose -15 = -3*i + 6. Suppose 15 = i*n - 2*n. Which is the nearest to 1\/2? (a) n (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/3, -555, -0.4, 0.08, 5 in descending order.\nAnswer: 5, 1\/3, 0.08, -0.4, -2\/3, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**5 - 5*l**3 - 5*l**2 + 3. Find u such that d(u) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 87?\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -390463066, -390463067, -390463068?\n\"Answer: -y - 390463065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d + 2. Let k be i(-1). Calculate the lowest common multiple of 12 and -2 + k - (-2 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b. Suppose b = 3*u - 10 - 5. Suppose -10 = u*v - 55. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 3*l - 2*l + 5*c, -4*l = 3*c - 356. What is the remainder when l is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (26 - 16) - -5 - -49?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5252 divided by -13\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -d + 4, 22*d - 17*d - k = 11. Solve 15*l - d = 20*l - 3*p, 5*p + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 648807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - t + 1. Let d be h(-2). Let r(z) = -z**2 - 8*z - 6. Let a be r(-6). Let f(b) = b**2 + 3 - 6*b + 2 - a. Calculate f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-4350)*60*(-1)\/(1\/30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1885\nAnswer: 1\/1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 7*f + 57. Let w be a(11). What is the highest common factor of 1111 and w?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 8*s**2 + 5*s + 238. Let x(h) = -h**3 - 7*h**2 - 4*h - 237. Let c(d) = 5*n(d) + 6*x(d). Let f be c(0). Let w = 363 + f. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -47. Let l = u - 34. Which is the second biggest value? (a) 1 (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -x + 3*x - 2, -4*n + 4*x = 0. Suppose -n*d = -22 - 418. Round d to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -101 + 77. What is the remainder when 84 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - 26*w - 29*w = 22*w. Sort -4, -1, 23, w, -5.\nAnswer: -5, -4, -1, w, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 + -26. What is the greatest common divisor of y and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 3291\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 + 3 = b, -29 = -m - 4*b. Solve -2*i = -m + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + -1120?\nAnswer: -10a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/2345 and 82\/1966785.\nAnswer: 13767495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*i = -3*t - 145*i + 24, -28 = -2*t - 5*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f3 (base 16) to base 13.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56982089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 5)\/(6\/(-2)). Let s(z) = 18*z**3 - 3*z**2 + 4*z - 2. Suppose 5*c - 300 = 25. Calculate the remainder when c is divided by s(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 18. Let z = n - 47. Let k = z + -26. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1060?\nAnswer: -1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51697?\nAnswer: 17, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.135 - -0.235. Is y at most 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-2)\/(-1*sqrt(600)).\nAnswer: 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1285*c + 154*c + 2*c**2 + 71*c)*((-c + 0*c + 2*c)*(-4*c - c**2 + 4*c) - 5*c**3 + 3*c**3 + c**3).\nAnswer: -4*c**5 - 3020*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1474.8 - 1298. Let q = f + -177. Which is smaller: -25 or q?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 times 0.17?\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 74*v**4\/3 + 479*v**2\/2 + 962*v. What is the derivative of x(j) wrt j?\nAnswer: 592*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -36. Let r(o) = -5*o - 13. Let f be r(g). Calculate the highest common factor of 63 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((19 - 15) + -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 1, m: 2, l: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-680)*2165 - 4\/16 - 6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-7 - -1) - (-3 - 1). What is the derivative of -334*a**4 - 339*a**4 + d + 651*a**4 wrt a?\nAnswer: -88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, -156, 23, -4, 11 in descending order.\nAnswer: 23, 11, 3, 0, -2, -4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000436340562 to six decimal places.\nAnswer: 0.000436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -3*a**5\/10 + a**4\/24 + 10*a**3\/3 + 3*a**2 + 10. Differentiate k(h) with respect to h.\nAnswer: -36*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*-1*-5 - (sqrt(378)*-2*-1 + sqrt(378)))*4)\/((6*-2*sqrt(216) - 5*sqrt(216)*-2)*1).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -2.7459?\nAnswer: -49.4262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 507, 127, 3, 5, 17 in increasing order.\nAnswer: 2, 3, 5, 17, 127, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3, -3*t = -3*b + 10 - 28. Let g be 3 - 2\/(-4)*2. Suppose 0*p = g*p - 48. What is the remainder when p is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -24.7.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 338278428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-45)*3*0. Suppose -f - 4*o + 13 = a, 34 - 9 = -3*f + 4*o. Let v be (f - (-25)\/7)*(-14)\/(-4). Solve v*x - 3*w + 1 = 2*w, -3*x + 3*w = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15899358427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14931241509*x - 14931241509*x + 1101*x**2.\nAnswer: 1101*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17503 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let m(d) = 70*d. Let t(f) = -2*f**3 + 65*f**2 + 38*f - 25. Let v be t(33). Determine v*h(o) + m(o).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by -5\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + k + 35 = 0, -7*k + 5 = -q - 4*k. Let j(p) = p**2 + 13*p + 5. Determine j(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose 2*g - 32 = 2*i - 4*i, -c*i = 5*g - 38. Suppose -26 = -a + 2*k + 3*k, -k = 3. What is the remainder when i is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/9))**(37\/3))**(-22)*(o*o**(4\/9)\/o*o)\/o**(-2)*(o**(-1\/2)\/o)**(-15) assuming o is positive.\nAnswer: o**(-9995\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-21)\/(-1212)) + (-8)\/(-28). Let k = 17 + p. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441122 - 1123?\nAnswer: -442300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uouu when four letters picked without replacement from uouuukk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/9 - 10*p**2\/9 - 4*p\/9 + 16\/3 = 0. Calculate p.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*b + 4*b + 4*n, 3*n = 3*b - 3. Let i(k) = b*k + 3 - 3 - 1 - 2*k. What is i(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 537 - 533. What is the third derivative of -48*r**2 - 9*r**t - 4*r**6 - 16*r**6 + 2*r**6 + 51*r**4 + 21*r**6 wrt r?\nAnswer: 360*r**3 + 1008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31974*y**2 - 1674*y + 120187428?\nAnswer: 63948*y - 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 9*d + 8354. List the prime factors of t(0).\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 654*w**4 - 319*w**4 + 647*w**4 + (-w**3 - 2*w**3 - w**3)*(-2*w + 1 - 1) to m*w + r*w**4 + l*w**3 + z*w**2 + q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 7*q**4\/6 - 3*q**3\/2 - 7*q**2\/2 - 40*q. Suppose -3*h - 3*p + 4*p = -33, -4*h + p + 45 = 0. Is i(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346872 is divided by 34535.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 1\/12 (c) -0.6 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/((-70)\/147) + -1 + 3. Let m = 52 - u. Suppose 2*q - 23 = m. Calculate the remainder when 82 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 12. Let w(m) = -m**3 - 22*m**2 + 2*m + 47. Let a be w(d). Suppose -i + 96 = 2*s, 8*s - i - 226 = a*s. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8493575 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 362\/7 + -52. Suppose -5*g + 90 = -60. Let o be 1\/(-5) + 16\/g. Which is the biggest value? (a) o (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23018685?\nAnswer: 3, 5, 1534579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*l - 12. Let m be l\/(22\/(-45) - (-3)\/6). Suppose 4*y = 4*b - m, -2*y = 1 - 3. Calculate the smallest common multiple of b and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662, 397, 132, -133?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-40620)\/(-8) + 4\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218200331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1392 = -3*j - 3*t, -184 = -2*j + 4*t + 768. Suppose -33*x - 10288 = -32332. Let y = x - j. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 121*g**2 + 3*g - 7. Let c(f) = 61*f**2 + 2*f - 3. Suppose 33 = -5*x + 3. Let o(t) = x*w(t) + 11*c(t). What is the second derivative of o(q) wrt q?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 38164734 = 5*f, 0*t - 3*t - 22898832 = -3*f. Suppose 33882916 = -8*u - 61020652. Let o = u + f. Round o to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34642, 50629, 66616?\nAnswer: 82603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 340*r - 25978. Determine i(224).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -103. Suppose 5*f - 990 = o, -4*f + b*o + 423 = -369. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48 + 18 + 142)*(0 - 1 + 0)*(1 + 3 - 5)*(9*l + l + 7*l) as f*l + i and give f.\nAnswer: 1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/78*99\/132?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2764067973825+-6\nAnswer: 2764067973819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 - (-6 - 5\/(-5)). Suppose -t - p*t = 24. Let j(k) = 3*k + 2. Calculate j(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -34\/3, 6 in increasing order.\nAnswer: -34\/3, -3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-3 + -7 - -3). Let h be ((-11)\/l - 3)*-55. Suppose 0 = -6*n + 2*n + h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - n - 2. Let i(q) = 12*q. Find the common denominator of i(2) and u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yluzuyuuuh. Give prob of picking 1 y and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/18*s**4 + 0*s**3 + 0*s - 1\/90*s**5 - 7*s**2 + 1\/315*s**7 + 0 - 1\/504*s**8 + 1\/60*s**6. Determine c so that n(c) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4*(2 + 0). Let c(x) = -x**2 - 5*x + 8. Let h be c(-6). Suppose -y = -h*b - 5, -b = -2*y - 2*y + 27. Does u = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/107? (a) 3 (b) -4 (c) 2\/5 (d) -1 (e) 194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43811536, 43811522, 43811500, 43811470, 43811432?\nAnswer: 43811386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21163656, 42327310, 63490964, 84654618, 105818272, 126981926?\n\"Answer: 21163654*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -2, -0.7, -3071?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1778?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 11*t**2 + 23*t - 4. Let y be b(-13). Let p = -32 + y. Let r(k) = 1 - 2 + k + p. Determine r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1\/(-18)*8*3\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.4. Let n be 6\/4*(-4)\/39. What is the closest to -0.1 in 0.1, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-36456)*-28*14\/2*3\/66\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -945 + 944.6. Let y = 0.1 + -0.1. What is the third biggest value in k, y, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by -1573?\nAnswer: -68\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = 255. Let r be q\/17 + 39\/(-1). Let t = -36 - r. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*v - 6296, 4*g + 5*v - 4195 = 4188. Suppose 3*f + q = g, -2*f + 4*q + 964 + 414 = 0. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose 2*i = -i - 3*x + 75, -4*i = -4*x - 60. Suppose d*w + w - i = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxxxcxxx. What is prob of picking 2 x?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 2, h: 1, e: 1, v: 1}. Give prob of sequence ie.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/32)\/(3\/24*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411a (base 16) to base 3.\nAnswer: 211212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-16)\/p*p**(8\/7))\/(p\/p**(-1\/8)*p**(-5)*p*p) assuming p is positive.\nAnswer: p**(-783\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 - 447. Suppose 23*a - 6272 = i*a. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {i: 2, e: 5, k: 1, f: 2, v: 5, a: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9074363491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 78. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1048*c**2*w + 17*c*w + 43822*w wrt c.\nAnswer: -2096*c*w + 17*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406.3631 months in centuries?\nAnswer: 1.17196925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5793, 11585, 17353, 23085, 28769?\nAnswer: 34393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717495767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410191.29 microseconds in hours?\nAnswer: 0.000113942025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23868 and 408?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13.95212 years?\nAnswer: 0.01395212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pynko. What is prob of sequence ko?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(468) + 3*sqrt(468) + -5 - (sqrt(468) + sqrt(468)*1)*1) + -1 + (sqrt(468) + -2)*2)**2.\nAnswer: -240*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 176484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:43 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-5\/12))**(-1\/44) assuming m is positive.\nAnswer: m**(-29\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -335 + 530. What is the remainder when y is divided by (1\/2)\/((-1)\/(-36))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19158 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 37 - 497. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 18*f**2 - 19*f - 6. Let z = 27 + -44. Let x be j(z). Solve -5*d = -x + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8073.945um to centimeters.\nAnswer: 0.8073945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:52 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-33) - (-1705)\/(-5445). What is the nearest to 3 in 0.1, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:01 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 4 - 5)*(6 - 4*t - 5*t + 4*t) as r*t + z and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(0\/3 + 2). Suppose 4*b - 2*g = b, 0 = n*g. Find the second derivative of -3*r + 0*r**3 + 0*r - r**5 + b*r**3 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 5*q - 6. Let c be -2 - -4 - (q - -1). Solve -8 + c = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18022501.9 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14444 and 111156.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.176*-420.\nAnswer: 73.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52 + -1?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 266730377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 341\/29 - 24545\/2117. Is w bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 0.1, 13551, -3\/2 in decreasing order.\nAnswer: 13551, 0.1, -0.3, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:37 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 649*v\/6 - 5205.\nAnswer: (v - 694)*(v + 45)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24126 (base 11) in base 6?\nAnswer: 424523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9079254 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + v = -28, -46*g = -48*g + 5*v - 22 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2996 = -4*b + 2*s + 12172, -5*s = 30. Calculate the remainder when b is divided by 121.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 17*o**2 + 32*o - 4. Let f be c(15). Suppose -2627 + 703 = -2*y. Calculate the greatest common factor of f and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -0.3. Let u = v + 1.9. Which is the nearest to u? (a) 2\/5 (b) -0.3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4*j + 6. Let b be x(4). Is (-2)\/b - (-417)\/9 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 - v + 1. Let h be w(4). Suppose 0 = -a - p - 1 + 2, -3*a = -2*p - 8. Let i be 3 + -3 + 0\/a. Sort -2, i, h in decreasing order.\nAnswer: i, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 1510 = -583. Let q be ((-490)\/4)\/7*8\/(-20). What is the highest common divisor of q and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*o - 9 = 198*o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 13*x + 14. Let z be i(-15). Let g = 27 + z. Solve -3*h + u - 5 - g = 0, 5*u = -2*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1241635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1122, -0.1, 15959 in decreasing order.\nAnswer: 15959, -0.1, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-393)\/12 - (-1)\/(-4). Let g = 55 + f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1053 and -1.195?\nAnswer: 1258.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pkpck?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 5*f**2 - f + 3. Let b(k) = 2*k**2 - 7*k + 6. Let i be b(2). Suppose -d + 4 = -i. Determine l(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = 3*q - 1061. Suppose 27 = -3*r + q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*t + 422*t - 727*t - 1282*t - 1603*t + 298*t.\nAnswer: -3818*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -35926?\nAnswer: 35930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -245ec - -4?\nAnswer: -245e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpveara. What is prob of picking 1 a, 1 r, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2795*u**5 - 8451*u**2 wrt u.\nAnswer: 167700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30185 and 25.\nAnswer: 150925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 95\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-26) - (-448)\/1560. Let x(z) be the third derivative of 0*z - 1\/20*z**6 + 0*z**3 + 1\/3*z**4 - k*z**5 + 0 - 2*z**2. What is m in x(m) = 0?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6139631?\nAnswer: 2309, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*i + 50, -5*r - 8 = -2*i + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006177 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2881342233 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 76950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = 3*f - 4*x, 3*f = -3*x - 9. Let n(i) be the first derivative of -i**2 - 1 - 1\/3*i**3 + 1\/4*i**4 - 2*i. Calculate n(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.5, -0.4, -5, -1213?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = c + 5. Let a = c + -85. What is the remainder when 0\/(a - 5) - -22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*k - 7 = 0, 0 = 5*a + 2660*k - 2662*k - 27. Sort -1, -3, 133, a in increasing order.\nAnswer: -3, -1, a, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -31. Let o = 33 + q. Calculate the highest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2232\/47 (b) 3 (c) -1\/3 (d) 1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13350 + -9271. Let c = -81597\/20 + d. Calculate the common denominator of c and (-2462)\/(-132) + 6\/33.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -25. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**6\/120 + h**5\/10 - h**4\/4 + 5*h**3\/6 - 6*h**2. What is z(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 236. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31872 and 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94963220 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247023792 to the nearest integer?\nAnswer: 15717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.06220915 + 562\nAnswer: 561.93779085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 7836\/(-252)) + -11.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = -3*f, 2*w = 27*f - 28*f. Solve o = 2*g + 5*o + 6, 0 = 5*g - w*o - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16108 + -3709. Suppose -3381 = -15*u + m. What are the prime factors of u?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 67*y**3 - 2*y**2 + 2. Let l be (-1)\/((-1)\/7) - (-585)\/(-117). List the prime factors of a(l).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 6, 26, 64, 126, 218, 346, 516?\n\"Answer: c**3 + c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396432 divided by 4?\nAnswer: 99108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 + 102*w**2 + 558*w - 16. What is a(-5)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -4*p**3\/3 - 5*p**2\/2 + 130*p. What is the remainder when k(-5) is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 207115218.\nAnswer: 1\/207115218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 42. Determine s(-12).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0571599 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Suppose -i = -w*i - 20. What is the common denominator of 2\/(4\/(-1)) + i and -20\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*x**3 - 9*x**3 + 9*x**3 + (7*x - 7*x - 18*x**2)*(0 + 2*x + 0) + (x - 3 + 3)*(-1 - 2*x**2 + 1).\nAnswer: -82*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -103\/2 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-2 - 0) - 2. Let w = 16 + d. Calculate the lowest common multiple of 9 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*l**2 - 38*l**2 - 11*l**3)*(-3 + 4 - 2)*(-4 - 26 - 28) + 10 - 10 + l**3.\nAnswer: -637*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02102915652 rounded to four decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbllbllblbbbl. What is prob of sequence blll?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*a + 1 = 4, 0 = -4*d + 4*a. Let m(o) = -o**3 + 5*o**2 - 3*o - 4. Let u be m(d). Suppose 3*z = 2*k + 16, -5*z = -3*k + u*k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i - 1 - 5 - 10*i + 3.\nAnswer: 28*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 23*b + 24*b - 230602 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -21*f + 78840. Suppose f = 3*y + n, 8844 - 24627 = -3*y + 4*n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9*u - 432640, -7*u + 432640 = -4*n - 8*u. What is n rounded to the nearest one thousand?\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 67.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5734543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**5 - 845*j**4\/2 - 1680*j**3 - 2515*j**2 - 1675*j - 3230. Factor z(r).\nAnswer: -5*(r + 1)**3*(r + 335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 90 = -12*u - 2*u. Solve 0*x + x + u*f = -24, f = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2 - 4 - 88*b + 10 - 7. Let o(i) = -5*i. What is o(w(d))?\nAnswer: 440*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**1)\/v)**18)**(-8\/17) assuming v is positive.\nAnswer: v**(144\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3565*f. Let q(p) = 3162*p. What is y(q(b))?\nAnswer: -11272530*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 74, 0, -8, -478 in descending order.\nAnswer: 74, 0, -8, -131, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 456*z**2 - 2*z**3 - 465*z**2 + 921*z**2.\nAnswer: -2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/39 - (-3)\/(-2). Let n = -50\/13 - d. Which is the biggest value? (a) n (b) 6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78136 and 600.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(-2*n + 2*n - n + (176 - 100 - 187)*(2 - 2 + 2*n)) to s + r*n and give r.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1089*z**2\/2 + 1156*z - 741. Find the first derivative of l(i) wrt i.\nAnswer: -1089","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 4)*(-v - 2*v + v)*(-109*v - 153*v - 101*v).\nAnswer: -3630*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + v - v)*(-4*v - 2*v + 5*v) - 48*v**3 + 48*v**3 - v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 - 53*n**2 - 16*n - 16. Let k be c(18). Suppose 16*u - k = 12*u. Solve 5*r - u = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93599737?\nAnswer: 7, 11, 67, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 38*u - 355. Let c be o(20). What is the biggest value in 13, 2, c, 0.3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 3100 = -139*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4085.63 + 5.\nAnswer: 4090.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.215, -4, 0.08, -1 in descending order.\nAnswer: 0.08, -1, -2.215, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s**4)*(3 - 3 - 2)*(3 + 2*s - 3).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 4859.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85221 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/(-72))\/((-6)\/48). Solve 3*t = -5*i - 7, -4 = 4*i - t + b*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8753103 (base 10) to base 15\nAnswer: -b7d7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:42 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6662113 is divided by 2206?\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w + 895. Determine k(49).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (2 + sqrt(20)\/sqrt(4))*-3).\nAnswer: -12*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4826 is divided by 124?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 - 432?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 320*l**2 - 2*l. Let w(n) = 2*n. Determine f(w(v)).\nAnswer: 1280*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 31*s**5 + 0*s**5 + 34*s**5 + (s - s + s**5)*(-3 + 4 + 1).\nAnswer: 5*s**5 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 21, -4, -13 in increasing order.\nAnswer: -13, -11, -4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1044 + 1504. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.1, 0.1, 10, -29, -5 in ascending order.\nAnswer: -29, -5, -0.1, 0.1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13640207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -52200 divided by -10440?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1750\/42)\/((-2)\/(-6)). Differentiate -b*a + 125*a**3 + 110 + 125*a wrt a.\nAnswer: 375*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 19. Which is the second smallest value? (a) 2\/7 (b) -0.5 (c) -4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -24. Let l(m) = -h*m**2 + 0*m**2 + m**2 - 5*m**2. Let u(y) = -y. Determine u(l(k)).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 38.55.\nAnswer: -46.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-2940)*-98)\/(25\/(-30)))\/(12\/75)\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 542404704 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 - -24?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/28)\/((-10)\/(-48)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbddbbbbbdbdd. What is prob of picking 2 b and 1 d?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2. Let k(m) be the second derivative of -3*m**4\/2 + 30*m + 1. Calculate k(d(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19518 is divided by 241?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 73685263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:53 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267268*f + 801878*f - 267290*f - 267291*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -106\/53069?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5613.3 (b) 733 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5 - -2) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 481576903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(18) + -1 - sqrt(2))**2 + (sqrt(80)\/sqrt(72))\/sqrt(5).\nAnswer: -11*sqrt(2)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {m: 2, v: 1, t: 2, l: 1, o: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, -731, -0.2, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 46*s**3 + 2*s**2 + 24*s - 79. Let w(b) = -93*b**3 - 5*b**2 - 54*b + 159. Let f(d) = 9*j(d) + 4*w(d). Differentiate f(a) wrt a.\nAnswer: 126*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/((-6120)\/176)*(-40)\/(-44)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 71*s**2 + 1263*s + 923. What is y(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrer when four letters picked without replacement from {s: 2, o: 1, r: 2, m: 7, q: 1, e: 4}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 12*a**2 - 50*a + 656. Calculate z(9).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + -53773.\nAnswer: -53773.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 95 = 39*k + o, 90 = 4*k - 2*o. Solve 2*y - 5*y = -4*n - k, -y = -2*n - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6471, 13023, 19575, 26127, 32679?\n\"Answer: 6552*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 + 5 = 5*v, 0 = 4*h - 8. Is v < -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1047*s. Let d(x) = -37*x**2 + 3. What is d(r(k))?\nAnswer: -40559733*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 - 182771?\nAnswer: -182767.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 + 2*u + 5. Let k be v(4). Let m be -2 + 4*(-6)\/k. Suppose -m*z + 11*z + j = 27, -3*z = -4*j - 7. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npjjjncednjc. What is prob of sequence eep?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24935, 24541, 24135, 23711, 23263, 22785, 22271?\n\"Answer: -h**3 - 387*h + 25323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6634 is divided by 162.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 + (1 - -1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 1. Let j(f) = 13*f**3 - 12. Let u = 61 - 62. Let r(m) = u*j(m) - 4*q(m). What is the first derivative of r(n) wrt n?\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.415 and 4.27.\nAnswer: 2.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 242385 divided by 2145?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239728.\nAnswer: 2, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.326822 and 14723537.\nAnswer: 14723537.326822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -112, -136, -164, -196, -232?\n\"Answer: -2*c**2 - 14*c - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 11, -56, -197, -436, -797, -1304, -1981?\n\"Answer: -4*w**3 - w**2 + 14*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**3 - 78*c**2 - 19*c - 13. Give d(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 408 + 152. Suppose 4*i - 7*i = -4*o + 28, -4*i - l = 0. Sort 1, o, -2, -1 in ascending order.\nAnswer: -2, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7889.358 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15604)\/282)\/((-1)\/90) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/15 + 1552*u**4\/5 + 23242*u**3\/15 + 27868*u**2\/15 - 1240*u - 37168\/15 = 0.\nAnswer: -2323, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 12. Let k be g(0). Let n be (-2)\/(-8) - (-33)\/k. Let v(q) = -n + q**2 - q - 3*q - 3*q**2 + 6*q. Determine v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5036, -19891, -44224, -77699, -119980, -170731?\nAnswer: -229616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -30*x + 1. Let n be q(-8). Let s = n + 321. Suppose -3*u = -4*t - s, -4*u - t + 495 + 267 = 0. What are the prime factors of u?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 5*f. Let r(b) = f*b**3 + 4*b + 6 - 2*b**2 - 2*b - b**3 + 4*b. Let s(g) = -g**3 + 2*g**2 - 5*g - 5. Determine -5*r(v) - 6*s(v).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 5. Let h = s + 0. Suppose -41*k + 152*k = 3663. Calculate the smallest common multiple of h and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1)\/(-90)*3150\/(-25).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/21))**(-1\/28)\/(m**(-1\/4)*m*m\/(m\/(m**(6\/19)*m))))**19 assuming m is positive.\nAnswer: m**(-23003\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46349159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 274a (base 11) in base 7?\nAnswer: 13250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(0 - 4)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3802, -0.4, -8, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 332, 331, 330, 329, 328?\n\"Answer: -l + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13343.151 - 4918?\nAnswer: 8425.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1585530 and 2676?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295 - a**3 + 10*a + 2*a + 3*a**3 - 2*a**3 + 6*a**3 with respect to a.\nAnswer: 18*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 + 0.7.\nAnswer: -197.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(95) + sqrt(95))*-3 + 2*sqrt(95)*5)\/((6*-2*sqrt(320) - sqrt(320)) + sqrt(320) + sqrt(320)).\nAnswer: -sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(6\/11))\/(n\/(n\/(n**(1\/3)*n)))*n**(-21)\/n**23)**(-1\/4) assuming n is positive.\nAnswer: n**(362\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16*u**3 + 36*u**2 - 26*u + 4. Let n(b) = 3*b**3 + 7*b**2 - 5*b + 1. Let g(z) = -11*n(z) + 2*p(z). Calculate g(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -733, -1447, -2149, -2833, -3493, -4123?\n\"Answer: x**3 - 721*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 141. Suppose -3*m + o = 2*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t. Let x(i) = -i**2 + 1184*i + 180. Give x(n(w)).\nAnswer: -25*w**2 - 5920*w + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 93, 66, 19, -54, -159?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 45, 127, 271, 495?\n\"Answer: 3*c**3 + 4*c**2 + 5*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 21598417*d + 466491616905889\/2.\nAnswer: (d - 21598417)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4965 and 1324?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 918.106mg?\nAnswer: 0.918106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-3))\/3 + 5. Suppose 3*y + i = 2*j - 0*y, -2*j - 5*y - 1 = 0. Suppose 0*m + j*l = -2*m + 1566, 5*m - l = 3885. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753025130 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1094, -1097, -1102, -1109?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1957483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 164393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/15 + 1219*u**5\/20 - u**4\/12 + u**3\/6 - 1038*u**2 - 6141*u. Find the third derivative of a(t) wrt t.\nAnswer: -48*t + 7314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/3 + 4*j**4 + 46*j**3\/3 - 164*j**2 - 495*j = 0.\nAnswer: -5, -3, 0, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -906732 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + r - 398 + 177, -3*q + 225 = -3*r. Do 364\/5 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182334 and 168.\nAnswer: 5105352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2034 + 942 - y**2 - 1303 - 185.\nAnswer: -y**2 - 2580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Suppose -5*k = -3*j - 0*k - 25, 3*k + 4 = -2*j. Let l(t) = -33203*t - 33195*t + 66392*t - 1 + 1. Calculate j*m(i) + l(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -95, -79, -63, -47?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, 37, -13, 335.\nAnswer: -286, -13, 37, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019 * 1.85.\nAnswer: -0.03515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*k - 7646, -22*k = -19*k - 3*f - 4587. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 6 - 6 - 2*f. Let d(w) = 10*w + 6. Let p(q) = -d(q) - 4*m(q). What is the units digit of p(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17548 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = c + 4*c + 44, -3*c - 12 = -p. Suppose -p - 15 = -3*b. Let d = 7 - b. Let l(y) = -y**2 - 6*y + 1. Determine l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60598 times 5?\nAnswer: -302990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = 5*o, 3*o - 5 = -3*d - 2. Suppose -5 = -y + 2*y. Put y, o, -1 in decreasing order.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 12, z: 3}. Give prob of sequence rzrz.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -670658797*p**2 + 1052797530?\nAnswer: -1341317594*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93415670 a multiple of 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16 and -57\/394.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -68863*d. Let v(s) = 21*s**2. Calculate v(i(z)).\nAnswer: 99584368149*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 10) to base 4.\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:23 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3749 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1012 and -133\/2420?\nAnswer: 55660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246645600.\nAnswer: 2, 5, 2808307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012212 + -10212?\nAnswer: 21002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-25)\/b*b)*b\/(b**(-32)\/b))\/(b\/(b\/b**25)*b**(3\/4)*b) assuming b is positive.\nAnswer: b**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1022 or -701\/15?\nAnswer: -701\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367\/3 + 368\/3. Which is the nearest to 2? (a) -2\/11 (b) i (c) -1\/6 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41760480 and 2?\nAnswer: 41760480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -461 - -951. What is the greatest common factor of 35 and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - (-64)\/12) + -4)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1169 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*-2*sqrt(833) - sqrt(833)))**2 - (sqrt(51)\/sqrt(3)*5 + sqrt(612) + -1 + -5)**2.\nAnswer: 6*sqrt(17) + 65381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -9\/2*u**2 - 1\/6*u**3 + 0 - 11\/12*u**4 + 6*u. Let v(r) = 5*r**2 + 4. Let d(a) = 2*l(a) + 5*v(a). What is d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*t + 7 - 1, 3*x - 4 = 2*t. Which is smaller: -6\/35 or x?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78481 + 20817 = 1810*w - 265*w - 84557 for w.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10881325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**2 - 38*y**2 + 35*y**2 - 23*y**2.\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10397, 20672, 30949, 41228?\nAnswer: 51509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/7 + 50*h**3\/7 + 264*h**2\/7 + 216*h\/7 = 0. Calculate h.\nAnswer: -18, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*d + 29588 = -15237 + 3566 + 710 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 9.6. Let f = t + 0.9. Let q = -4.7 + f. What is the closest to -2\/7 in q, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/70 and 3\/119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 13*d + 10*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**3 - 11*k**2 + 8*k - 7. Let c = -49 + 58. Let u be d(c). Suppose 0 = 4*h - 2*x - u, 5*h - 3*x = 3*h + 2513. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365\/4*58\/(-3915)*-54 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1819*t**3 - 2*t**2 - 85*t wrt t.\nAnswer: 10914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let v = g + 0. Let z(o) = -9*o + 0*o + 5*o + 4 + 5*o**2. Let j(t) = -t**2 + t - 1. Give v*z(i) + 4*j(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 3*i**4 + 2*i**4 + (-i - 2*i + i)*(46*i**2 - 46*i**2 + 3*i**3).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43818\/4993 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367048?\nAnswer: 2, 11, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 + 91.6. What is the nearest to 5 in 4, u, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + i = 18, i = -2*d - 19*d + 189 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**3 - 5*j**2 + 3*j + 3. Suppose 11*m = -10*m + 126. Let x(h) = -7*h**3 - 6*h**2 + 4*h + 4. Determine m*q(n) - 5*x(n).\nAnswer: -n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 18*b**2 - 6*b + 164. What is a(-16)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.7 + 8. Let l = i - 0.2. Let g = 1.40793 - -0.59207. What is the closest to l in -1, 1\/8, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12564 (base 7) to base 10.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - n + 5. Let a be k(0). Suppose l = 5*l + 16, 11 = -a*p - 4*l. Let q be (0 + p)*(-3 + 2). Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*j = -369*j - 1350. Let w(l) = 3*l**3 + 2*l**2. Let t(u) = 13*u**3 + 9*u**2. Let n(d) = 4*d**2 - d + 1. Let x be n(1). Determine j*w(f) + x*t(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 7. Let p be i(4). Suppose -w - 17 = 4*z, -5*z - p = 2*w + 19. What are the prime factors of 4\/8*-58*w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 - 5*o**2 + 266.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(30*p**4 + 1167*p**3 - 1167*p**3) - 2*p**4 - p**4 + 7*p**4 + 2*p**2 - 2*p**2 + 2*p**4.\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1 + c**3 - 95*c + 0*c**2 + 26*c + 35*c + 28*c - 4*c**2. What is i(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312428 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let p = -959 - -965. Let r be (p\/3*1)\/(-2) - 0. Which is the closest to r? (a) 1 (b) k (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8441888*a + 2899. Let n(b) = -5826*b + 2. Determine -2*c(h) + 2899*n(h).\nAnswer: -5798*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)\/(y*y\/(y**(-3\/2)*y)))\/(y*y*y**0)**(4\/5) assuming y is positive.\nAnswer: y**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6305?\nAnswer: 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 12*i**2 - 10*i + 14. Let o be c(-11). Suppose 0 = -2*d + 4*f + 216, -o*d + 540 = 2*d - 2*f. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5))**(35\/2)*(l*l**(-4))\/(l\/(l\/(l**(1\/8)\/l))) assuming l is positive.\nAnswer: l**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 26*k - 186 = 6*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 8*a**2 + 3*a + 1. Let h(x) = x + 1. Let n(j) = -3*h(j) + i(j). What is n(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/84 + v**6\/16 - 5*v**4\/12 + 10*v**2. Factor a(r).\nAnswer: -5*r*(r - 2)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - 3) + (-5 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) + sqrt(1620) + (sqrt(1620) - sqrt(1620)*-3*4 - sqrt(1620)))\/(sqrt(90)\/sqrt(324)*4))**2 + 1.\nAnswer: 71443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20464 and 16672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189 + 198 - (-1 - -17)) + (3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 780 + -457. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00044 + -0.010354. Let a = o - -0.01. Round a to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 292408\nAnswer: 7\/292408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*h**2*m**3 - 27*g**2*h**2 - 2*g**2*m**3 - g**2*m + 12*g*m**3 + 4*h**2*m**2 - 2*h wrt h.\nAnswer: 2*g**2*m**3 - 54*g**2 + 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14535\/4774 + -70\/1023. What is the common denominator of m and -13\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -244 * 14331.1.\nAnswer: -3496788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*r**2 - 67*r**2 - 51*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 47515*m - 190041. Determine i(4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + a + 25, a = -10*a + 6*a for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1319298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/((-156)\/104*(-36)\/3456).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4865191 is divided by 13980.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 l when four letters picked without replacement from lllppllpll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:58 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/3 - 44*v**4\/3 + 248*v**3\/3 - 112*v**2 = 0 for v.\nAnswer: 0, 2, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-975)\/2 + (-4)\/8. Let u = h + 1878. Round u to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Let y(t) = t**3 - t**2 - 3*t + 1. Suppose 2*s = 1 + 7. Calculate the least common multiple of s and y(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017676441.\nAnswer: 71, 599, 23929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195488 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -64\/14927?\nAnswer: -64\/14927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 21896, 1, 12 in descending order.\nAnswer: 21896, 12, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 + 0.425. What is s rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 261495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from qzodtzzutzqzqtq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 + 6*j**2 - 6*j. Let t be -34*4\/(-24)*-6*-11. Suppose -x - 379 = -t. Let m(c) = 6*c**3 - 5*c**2 + 5*c. Determine x*w(f) - 6*m(f).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1) + (-15)\/(-10). Let m = 211.9 - 212.4. What is the nearest to a in m, 0.5, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 5*j - 624 = 0. Let d(y) = -2*y**2 + 84*y + 6. Is 12 a factor of d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46544 (base 7) in base 8?\nAnswer: -27243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275116669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.4 + 8. Let v = 150.9 - 151.1. What is the second biggest value in -3, q, 1.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 19. Let x(u) = 20*u**2 + u - 5. List the prime factors of x(m).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 15*p - 5. Let l(r) = 3*r + 8. Let u be l(-8). Let i be m(u). Does 7 divide (-11 - -14)*(0 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 - -162. Put u, 5, -4 in ascending order.\nAnswer: u, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3115 (base 10) to base 13.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 574 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21513720.\nAnswer: 2, 3, 5, 179281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5) + (1 - 0) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49949 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3582, 18695, 43908, 79227, 124658?\nAnswer: 180207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 390\nAnswer: -49\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -4*l + 2*d, 3*l + 4*d - 260 = -72. Suppose -2*u - l = -3*q, -5*q + u = -u - 108. What is the remainder when 231\/24*2*4 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041633 + 927.\nAnswer: 927.041633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiziiz. What is prob of picking 1 z and 2 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 9*h**2 + 9*h - 3. Calculate the remainder when 47 is divided by z(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/5808 and -7\/96?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 - 11) - 6) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2))**21*y*y\/(y**(-1\/7)\/y)*y**(9\/7)*y*y assuming y is positive.\nAnswer: y**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7928842 is divided by 3964404?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010001010 (base 2) in base 5?\nAnswer: -100320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -34655.\nAnswer: -34653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/20448 and -139\/3805488.\nAnswer: 540379296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78347 is divided by 81?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxx. Give prob of picking 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/6 + 6*x**3 + 161*x**2\/6 - 6*x - 80\/3 = 0 for x.\nAnswer: -4, -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6133 - 6130.9. What is the closest to 0.2 in -1, t, 2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44024 (base 5) in base 8?\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26747 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1981*z + 73*z**2 - 100*z**2 + 2*z**3 + 1699*z + 75*z**2 + 232 = 0. What is z?\nAnswer: -29, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 + 21*g**3 - 43*g**2 wrt g?\nAnswer: 24*g + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2645*p**3 - 8*p + 117*p - 2630*p**3 + (-2*p - 3*p + 4*p)*(-13 + 13 - 6*p**2).\nAnswer: 21*p**3 + 109*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 53*n**2 + 2181*n - 370. Determine d(80).\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7238*g**2 - 92145*g**3 + 3618*g**2 + 3620*g**2.\nAnswer: -92145*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19618 or 19598?\nAnswer: 19598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 8*z + 25. Let y = -688 + 678. What is f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -43. Let d be 144\/10*(-20)\/6. Let z = -28 - d. Calculate the highest common divisor of r and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2 - 5*y + 2. Let n be l(4). Let v be n\/(-7) - (0 - 0). Let c = 29\/5 + -367\/65. What is the closest to v in -0.5, c, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 71717*w - 143458. Calculate j(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -54 - ((-8 - -4) + 8). Suppose 219 = -0*d + 3*d. Let m = y + d. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52403553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5046565, -10093126, -15139687, -20186248?\n\"Answer: -5046561*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Let p be ((-90)\/4)\/(1\/(-6)). Suppose 5*i + d*o + 2*o - p = 0, -145 = -5*i - 2*o. Calculate the remainder when i is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - a + 47*a**3 - 2*a**2 + 16*a**3 - 36*a**3)*(4 - 3 + 2) in the form b*a + g + d*a**3 + f*a**2 and give d.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 - 5*q - 4. Let c(o) = 13*o**2 - 689*o + 7. Let t be c(53). Let m(y) = -4*y**2 + 3*y + 2. Give t*m(u) + 4*p(u).\nAnswer: 4*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 156\/7 (c) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (8 - 22 - (-16 + -4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*h - 59 - 11 = 0, 82*a + h + 586 = 2231 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964759 is divided by 192951.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*z + z + 736, 0 = 2*z + v + 374. Let h = z + 189. Let m = 16 - 11. Solve h*p - p - 10 = -j, m*j + 2 = 3*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.23 - 0.63. Sort b, 0, -8\/3 in increasing order.\nAnswer: -8\/3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.6 + 13.6. Let y = 21 + u. Let m = y - -45.000015. What is m rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 4*y - 32*y - 31*y + 21*y + 4 - y - 4 + 0 + 0 + y + (-y + 2*y - 2*y)*(1 - 3 + 0) + 2*y + y - y to h + z*y and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3755, -0.8, 3, 0.2, 0.4, -2, 5?\nAnswer: 3755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -538079 (base 12) in base 16?\nAnswer: -14255d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2208.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 6960 = -32*s. Let x be 19\/5 - (-7)\/35. Suppose -4*m + s = x*m. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 17 = -5*q. Is -1 - ((-3 - q) + -129) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 + 18*b**4 - 26*b**3 - 58*b**2 + 24*b + 40 = 0. Calculate b.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 - 46*t - 262. Let v be u(-4). What is the highest common factor of 590 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10 and -163\/9436944?\nAnswer: 47184720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 22*w + 23. Let o be f(5). Let p = -127 + o. What is the remainder when ((-2)\/(-4))\/(3\/60) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7044*w**3 - 7044*w**3 - 721*w**2 - 5995*w**4 wrt w.\nAnswer: -143880*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 9 - f + f. Let v(z) = -1. Let j(u) = 2*o(u) - 18*v(u). Let r(i) be the third derivative of i**4\/24 + 2*i**2. Determine j(r(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 38. Let d = n + 27. What is the remainder when ((-19)\/(-1) - -2) + 0 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 132878*r**2 - 132878*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 622.\nAnswer: -3\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913082 is divided by 914?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7344\/81 - 1\/(-3)*1. Let h be (0 - 1)\/((-1)\/4). Suppose l - 48 = -h*z, -5*z + 48 = -4*l - 33. Calculate the highest common factor of z and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and 179.\nAnswer: 286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/(1\/9). Suppose 0 = -0*h + s*h - 6. Let v = 4 - h. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/14 - 36\/112. Factor -u - 1 - h*u**2.\nAnswer: -(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose 3*n - k = 15, 8*n - d*n = -5*k + 5. Suppose 65 = n*x + x. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Suppose -5*a - 6 = -26. Sort a, 5, f in descending order.\nAnswer: 5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3209546 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 15154 = -6*x - 2*v, -5*x = -4*v + 75770. Is -15153 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*b**3 - 151*b**3 + 35*b**3 - 481*b**3 + (-b - 2*b**2 + b)*(-2*b + 2*b - 2*b) as x*b**3 + h*b**2 + k*b + u and give x.\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2 + 7*x**2 + 19*x - 41*x + 14*x. Let v(u) = 15*u**2 - 16*u + 4. Suppose -53 - 1 = -9*h. Let z(j) = h*v(j) - 13*f(j). Determine z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 = -3*i - 0*f, -4*f + 16 = 0. Let h = i - -4. Let b(u) = -2*u**2 + 3*u - 2. Calculate b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 129978.54ms?\nAnswer: 0.00150438125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppaypfpfayfffa. Give prob of picking 2 a, 1 y, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 578*m**4 + 2788*m**3\/5 - 1080*m**2 + 1136*m\/5 - 64\/5 = 0.\nAnswer: -2, 2\/17, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w**2 - 92*w**2 + 22*w**2 - 15*w**2 - w**2 + 8*w**3.\nAnswer: 8*w**3 - 124*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 4, j: 16}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 less than 361.513744533?\nAnswer: -928.486255467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/8 + p**3\/6 - 5*p**2\/4 + 3*p\/2 - 14. Determine j so that i(j) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2607.992817 - -2608. What is o rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 1391, 4776, 11367, 22232, 38439, 61056, 91151?\nAnswer: 129792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.05 (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**5\/20 - u**4\/6 - 2*u**3\/3 + 3*u**2 + 12*u + 9. Let z(n) be the first derivative of s(n). Give z(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6*1)\/(((-12)\/2)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/7, -1.22, 1\/4602, -5?\nAnswer: 1\/4602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 5\/(10\/6). Let h be (3 + c + -2)*(-102390)\/(-22). Let w = h + 4651. Calculate the common denominator of -9\/7 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*f + 233008874*d**2 - 326777812*d*f wrt d?\nAnswer: 6*d*f + 466017748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000377047 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 5*n = 5*r - 20, 17 = 11*r + 2*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 21219?\nAnswer: 36072.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.089 + -78.289. What is p rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25053164 (base 7) in base 12?\nAnswer: -905238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 3*x - 2078 - 10*x + 2070. Determine s(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i, -2*t = 2*i - 37 + 3. Suppose 4*b - 3*s - 267 = 77, -t = 5*s. Suppose 3*p = -2*h + 97, 5*p - h - 96 = b. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8698 plus -241228793?\nAnswer: -241228789.1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.9 + 4.7. Let o = s - -5. Are o and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*k + 60 = 52, -4*k = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4626888145 to the nearest integer?\nAnswer: 68021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*m - 566 = 0, -3*m + 2*m - 376 = -2*q. Suppose -5*p = q + 244. What is the units digit of (2\/(-1))\/(4\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429979 = 41*u - 50*u - 89743. What are the prime factors of u?\nAnswer: 2, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2639 = -20*c + 27*c. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 + 22*u**2 + 45*u - 259. Give j(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11603031 or -1?\nAnswer: 2\/11603031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11619 and 51640.\nAnswer: 464760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1246 - 1246 - 153*f**2)*(f + 4*f - 7*f).\nAnswer: 306*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39344\/1335 or -28?\nAnswer: -39344\/1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - a + 37 = 0, 2*c - 4*a + 7 + 15 = 0. Let l = c + 17. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -42, -88, -152, -234, -334, -452?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.915 - -421.085. Let k = q + -421. Sort -13, -1, k, -4 in descending order.\nAnswer: k, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5786400937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6977, 6973, 6965, 6959, 6961, 6977?\n\"Answer: v**3 - 8*v**2 + 13*v + 6971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -14*z**3 - 11*z**2 - 11*z - 10. Let n be (112\/32)\/(1\/(-2)). Let a be y(n). Find the common denominator of 6\/10 + a\/(-300) and -37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5, 103 in decreasing order.\nAnswer: 103, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 1\/6, 188\/97, -0.2, 1\/2, 1, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 500959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p + 79 = 130 + 1343 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a decade in years?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/7, 4, -5\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22142670 divided by 165\nAnswer: 134198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(475) - sqrt(38)\/sqrt(2)*3)**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134246 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. What are the prime factors of (t - -2 - -2) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppqjppjwqq. Give prob of picking 1 p, 1 j, and 1 q.\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4376787117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1 - 3. Let x = -1 - v. Let n(k) be the third derivative of k**4\/8 + k**3\/3 + 785*k**2 + 3*k - 1. What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**3\/21 + 146*t**2\/7 + 290*t\/7 - 578. Factor g(c).\nAnswer: 2*(c + 1)*(c + 145)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 2*b**2 + (-b + 5*b - 2*b)*(0*b - 2*b + b) - 2*b**2 + 0*b**2 + 3*b**2 + 43*b**2 + 179*b**2 + 185*b**2.\nAnswer: 408*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 677*f - 24 = -671*f, -4*f = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let p(d) = -2*d**2 - d + 8*d**2 - 4*d**2 - 2. Give p(x) + r(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/(-186)*((-25)\/40 + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 19 = 3*x, 0*r - r - 5*x - 23 = 0. Let t(z) = -z - 1 + z**3 + 3*z**3 + 3*z**3 - z**r. Give t(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.53? (a) 123 (b) 0 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*g + 70, -4*g - 200 + 540 = -21*i - 10*g - 179 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 46*t + 15. Determine v(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + z - z**2)*(-2 + 3 + 1).\nAnswer: -6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 38, -32, -23, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025829 times 8?\nAnswer: 8206632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -253, -565, -1001, -1561, -2245?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 87.99. Let s = n - 0.01. What is the second smallest value in s, 4, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1081*m + 609*m + 6 + 366*m. Let a(h) = 21*h - 1. Calculate -16*a(k) - 3*b(k).\nAnswer: -18*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677461457.\nAnswer: 11, 243405587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 1. Let k be p(4). Suppose -21*x + 23*x = 4. Solve k*t = -x*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 - 39737*m**2\/7 + 158936*m\/7 - 158932\/7.\nAnswer: (m - 39733)*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*n**5\/5 - 126*n**4\/5 - 586*n**3\/5 + 1542*n**2\/5 - 1312*n\/5 + 384\/5 = 0. What is n?\nAnswer: -3, 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.07 + -0.07. Suppose 5*i - 40 = 2*z, 119*i = -4*z + 121*i. Which is the smallest value? (a) z (b) 2\/9 (c) -12 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Suppose -v*f + 194 = 4*c, -3*f + 106 = -3*c - 32. Let p = 11899 + -11885. What is the greatest common factor of f and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 185, 144, 103, 62, 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5604 + 1963?\nAnswer: 7467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16308708 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.7? (a) 0.3 (b) -34 (c) -5 (d) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -708, -1674, -2642, -3612, -4584, -5558, -6534?\n\"Answer: -o**2 - 963*o + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 86439 = -97822. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417427 (base 8) to base 10.\nAnswer: 139031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 5*q - 4. Let v be n(-6). Let u = 18 - v. Suppose -92 = -4*o - 2*t + 28, 0 = -3*o - 5*t + 104. What is the remainder when o is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2 - (-2)\/4*-35. Let z(p) = -p**2 - 25*p - 31. Let m be z(k). Let o = 113 - m. Solve o*d - 4*d + 4*u + 20 = 0, 4*u = -16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807 divided by 806455.\nAnswer: 807\/806455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 3*w**2 + 2*w + 2. Suppose 0 = 7*g - 10 - 25. Suppose -g*b + 10 = 4*r, -4*r - r + b = 2. Suppose r = 3*d - 8*d + 15. What is v(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183319*o**2*s - 1216*o*s - 20*o wrt o.\nAnswer: 366638*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429862?\nAnswer: 2, 17, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*b - 31, 3*b - 15 = -4*n - n. Let s(g) = -g**2 + 12*g - 10. What is the units digit of s(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 72 + 48 = 0. Let f be 2\/8 + (-66)\/v. Suppose f*w = 79 + 38. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 3*q + (1 - 1 + 2)*(-5 + 4 + 2)*((0 + 3 - 4)*(-1 - 2 + 2) + 0 - 4 + 1)*(3*q - 4*q + 3*q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 6*v. Let p(o) be the first derivative of 10*o**3\/3 + 55*o**2\/2 + 1195. Calculate -55*j(l) - 6*p(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -17*u**2 + 194*u + 170. What is n(12)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/4 (b) -11225 (c) 7 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -6579eae?\nAnswer: 6579eb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 12}. Give prob of picking 1 z and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -k - 18. Suppose a + a - 5*j - 18 = 0, 0 = -4*a - k*j - 16. Let n = 14 - a. Solve -5*l = -3*f, 2*f - n = 5*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**3 - 4*c - 2. Let i be w(-4). Suppose k + 3*y = 103, -y - y - i = -4*k. What is the highest common factor of k and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r - 4 + 0*r + 0*r + 6.\nAnswer: 9*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2511 - -40105\/16. Let k be (3\/(-12) - (-15265809)\/52)\/(-52). Let z = 5646 + k. What is the common denominator of w and z?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 8, 4*q - 115055 + 1194 = -3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7492527 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 20 = 5*y. Suppose -4*r + 0 + 8 = 0, 0 = 2*s - y*r - 56. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 + 8*y - 5. Suppose 2*p + 10 = 7*p. Let x(s) = -4 + 7*s + 5*s**2 - 8*s**p + 8*s**2. What is 4*a(n) - 5*x(n)?\nAnswer: -n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904678351.\nAnswer: 3, 307, 1051277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*837646\nAnswer: 100517.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-three quarters of a week?\nAnswer: 3066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4153515 and -18\/1938307.\nAnswer: 29074605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -0.8, 12665734?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 - 0 - (-32 + (108 - 28)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1510286 (base 9) to base 2\nAnswer: 11001011011111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*c + 400*c - 6784 = -188*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1075, -3603, -16321, -41105, -81981?\n\"Answer: -671*d**3 + 6*d**2 + d + 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.131 and 415.\nAnswer: -54.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m - 248 - 53 = 235 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -28. Let r(s) = s**2 - 10*s + 2. Let d be r(b). Suppose -d*n - n + 12 = -3*v, -4*v - 4 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 71981 = 31*r - 34*r, -r + 24003 = -5*b. What are the prime factors of r?\nAnswer: 23993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 10848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + 0)*1 + sqrt(28) + (-3 + sqrt(28)*1 - sqrt(28)))**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2375, -4774, -7161, -9536?\nAnswer: -11899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3\/10 + ((-8176)\/(-280) - 30))*118\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1031131 (base 4) to base 7\nAnswer: 20311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = -z - 2, u - 2*z = -5. Is 10 a factor of 4\/(4\/13) - u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/5, -1223\/7, -30 in descending order.\nAnswer: 3, 2\/5, -30, -1223\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**2 - 7*t**2 + 7*t - 13*t**2 - 7*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/9, -1\/5, 100 in decreasing order.\nAnswer: 100, 9, 1\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222198*u**3 + 904676*u wrt u.\nAnswer: 1333188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-20)\/(-75))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -0.3, -12, 11, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/282285 and 59\/44608?\nAnswer: 18066240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 - -0.05. Let r = o - 1.4. Which is the smallest value? (a) 0.4 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/(((-12376)\/1008)\/221)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2111 and 5?\nAnswer: 10555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (18 - (7 - -7))) + -7 - 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (29 - 26)\/(2 + -1). Solve 3*j = 6 + l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:33 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16900, -16899, -16898, -16897, -16896?\nAnswer: -16895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 8 = j + 5*f, -3*f = -12. Let v be ((-9)\/j)\/((-4)\/176). Is 146\/(v\/15 + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9628, -19422, -29380, -39502, -49788?\n\"Answer: -82*f**2 - 9548*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 413690, 413692, 413698, 413708, 413722?\n\"Answer: 2*j**2 - 4*j + 413692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:49 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114163031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 9*q - 3*q**2 - 5*q**2.\nAnswer: -8*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (228\/4959*-116)\/((-316)\/3)\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0.8. Let n = 0.2 - g. Let q = -261 - -261.1. Which is the second biggest value? (a) 3\/4 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = 61. What is the greatest common divisor of 104 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039556148.\nAnswer: 2, 3, 41, 2112919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((3 + -2*sqrt(80))*-2 + 1 + -2*sqrt(80)*-5))**2.\nAnswer: -8960*sqrt(5) + 251280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 - 5)*(2*l**5 - 3*l**5 + 2*l**2 + 0*l**2)*(0 - 4 + 6 + 5 - 5 - 3 + (1 - 5 + 5)*(-4 + 3 - 1) + (-1 + 0 + 2)*(1 - 3 + 4) + 4 - 2 - 4 + 3 - 2 - 2).\nAnswer: -32*l**5 + 64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 9*f**4 - f**3 + 6*f**4 + 2876*f - 2800*f in the form o*f**2 + q*f + c*f**4 + p*f**3 + g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - 82*r**2 + 7*r - 183. Calculate the remainder when 488 is divided by i(41).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1910, 3839, 5768, 7697, 9626?\nAnswer: 11555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28452 + -28448. Let p(l) = 13*l - 14. Calculate p(i).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 68 = 4*g. Suppose 3*o = 9, 0*a - 2*o + 33 = 3*a. Calculate the remainder when g is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.0768?\nAnswer: 0.02304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 252, -63, -9, -5 in descending order.\nAnswer: 252, 3, -5, -9, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 142\/9*d + 73\/9*d**2 + 70\/9*d**3 - 1\/9*d**4.\nAnswer: -d*(d - 71)*(d - 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291909996 and 731604?\nAnswer: 291909996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/11 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29836 - -4538. List the prime factors of d.\nAnswer: 2, 3, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-48))\/(141\/(-18))*((-3666)\/195)\/47?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-181 - 48*g + 181)*((2*g**3 - 1 + 1)*(1 - 1 + 2) + 0*g + 0*g + 2*g**3) to w*g**4 + v*g**2 + p*g + l + m*g**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1084, 2722, 4362, 6004?\n\"Answer: t**2 + 1635*t - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -13756?\nAnswer: 13759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -412 (b) 0 (c) -207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/11 (b) -1 (c) 5 (d) 0.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4940206, 4940237, 4940268, 4940299, 4940330, 4940361?\nAnswer: 4940392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -445*v - 1015*v - 560*v + (-3 + 5 - 3)*(v + 4 - 4) - 4*v + 5*v + v to the form g*v + q and give g.\nAnswer: -2019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 916.0075ml?\nAnswer: 0.9160075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-615)\/(-328))\/((-1)\/20))\/(33\/440*-10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 35*z**2 + 111*z - 877. List the prime factors of j(8).\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -1022466002?\nAnswer: -1022465651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 3*f, 5*f - 28 + 8 = -5*l. Let b be 2*1\/f - (6 + -7). Let h = 14.03 + -14. What is the nearest to h in b, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 96*i - 584. Determine y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**4 + 0*j**4 + 6*j**4)*(-3 + 9 + 1) - j**4 - 7*j + 7*j as g*j**2 + u*j + x + f*j**4 + k*j**3 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592490?\nAnswer: 2, 3, 5, 109, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22*-2389\nAnswer: -52558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:28 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k**2. Suppose 10 - 18 = -2*h. Let c(v) = 4*v**2. Let p(u) = 3*u**2. Let i(l) = h*c(l) - 5*p(l). Calculate o(i(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 104 = 4 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169\/208*-8*16\/((-6)\/(-3)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -3*r. Suppose -5*t - 4*g = 0, -4*t + r*t + 4*g = -36. What is the first derivative of -2 + 3*l**4 + 4*l**4 - t*l**4 + 8*l**4 wrt l?\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3952025 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/122643 and 1\/105?\nAnswer: 4292505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/15)*m\/(m*(m*((m\/m**(-33))\/m*m)\/m)\/m))\/(m*m*m**(-1\/19)*m*m*m*m**(-40)\/m*m))**(-1\/3) assuming m is positive.\nAnswer: m**(-547\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2051 and 0.5.\nAnswer: -0.10255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24052368 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-15) + ((-14399)\/(-255))\/11. Let t(v) be the third derivative of 0*v - 1\/120*v**6 - 33*v**2 - v**3 + 0 + 7\/60*v**u - 1\/6*v**4. What is t(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/27450 and -11\/174582.\nAnswer: 4364550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2450 = -442. Let d = 2203 + i. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/6 + 1537*j**2\/6 + 2292*j = 0. Calculate j.\nAnswer: -1528, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -244*q**5 - 3164*q**4 + 148944*q**3 - 867664*q**2 + 28288*q = 0.\nAnswer: -34, 0, 2\/61, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 419965 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (2*sqrt(567) + sqrt(7) - 2*sqrt(847)).\nAnswer: -3*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8855)\/1676)\/7 + 1\/(44\/33). Sort 0.2, m, 2\/9 in descending order.\nAnswer: 2\/9, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 970 = b, -7*b + 4*b + 2*l = -2917. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735461 divided by 273?\nAnswer: 6357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 13*a**7\/70 - a**5\/15 - 6*a**3 + 136*a**2. Find the third derivative of r(m) wrt m.\nAnswer: 936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 0.1, -3, 25, -5, -1 in ascending order.\nAnswer: -5, -3, -1, 2\/25, 0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -174313?\nAnswer: -174312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8.1. Let f = 339.22 - 339. Is l less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237012 (base 8) in base 6?\nAnswer: 1424534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -8*(4 + -95*(-1)\/(-2)) and 6.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 387*z**8\/28 - z**5\/20 - 895*z**4\/2 - 3842*z. Find the third derivative of i(u) wrt u.\nAnswer: 92880*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127119*s**3 - 14*s**2 - 3502*s wrt s?\nAnswer: -762714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12411, -12674, -12937, -13200, -13463?\nAnswer: -13726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -53. Suppose 1 = -2*g + c. Let b(l) = -9*l + 1. Let r be b(-1). Solve 5*a - 2*u = r, 0 = -2*a - 4*u - g + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72891 and 62478?\nAnswer: 437346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-24)*-4)\/((-2)\/90). Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f = q - 38*f + 40, -q - 27 = 2*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -141. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527881, 528046, 528211, 528376, 528541, 528706?\nAnswer: 528871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 3. Let a = -6 + 12. Let n(s) = 3*s**2 + s + 4. Let f(c) = a*t(c) - 4*n(c). What is the remainder when 52 is divided by f(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 6*w - 2*w - 209*w**2 + 207*w**2 - 6*w - 3*w as g*w + p*w**2 + j and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + 5 + -1 + -8 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 2*w**2 - 14*w. Let b(d) = -d**5 - 5*d**3 + 5*d**2 + 28*d. Let q(p) = -2*b(p) - 5*s(p). Find the second derivative of q(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*y**4 - y**3 + 352*y**2 wrt y.\nAnswer: 504*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 4 + 2383*h**2 - 2384*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513662386?\nAnswer: 2, 463, 554711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 14717264*q + 14717268 = 0 for q.\nAnswer: -1, 3679317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -8, -0.5, -2 in descending order.\nAnswer: 1\/4, -0.5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -16.5. Suppose -4*p = 2 - 22. Which is the second smallest value? (a) z (b) -1 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5605 and 113221.\nAnswer: 566105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 11*v**2 + 26*v + 2. Let r be q(4). Let p = 14 + -11. Suppose -g - 5*b = 8, -5*g + p*b = 36 + 4. Is g greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33428900 rounded to the nearest one hundred thousand?\nAnswer: -33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 6*d - 2. Let x be f(4). Let u(j) = j**2 - 8*j + 13. Let s be u(x). Suppose -5*h + 10*h + 2*p = 0, 4*h = 4*p. Solve -y + s - 6 = h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1133 + 2?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y - 1. Let i = 1 - 0. Let p be s(i). Let c(z) be the first derivative of -8*z**2 - 838. What is c(p)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 5*m - m)*(0*m + 0*m - 2*m**2) + 303*m - 405*m - m**3 + 2 + 212*m.\nAnswer: m**3 + 110*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5274592 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371526*s**3 - 371526*s**3 - 462*s**2 - 189*s**5 wrt s.\nAnswer: -11340*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.8605 days to milliseconds.\nAnswer: 18131947200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -0.01, 2\/7 in descending order.\nAnswer: 5, 2\/7, -0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 1 + 1 + (p - 3*p + 0*p)*(-5 + 5 + 2) - 12*p + 0 + 0 + (-3 + 0 + 5)*(-3*p + 5*p - p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 115*o**2 - 448*o - 8100. Is j(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -41, -4 in decreasing order.\nAnswer: 4, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(((1*sqrt(78)*-6)\/sqrt(6))**2 + (sqrt(1872) + 2*sqrt(1872))**2 + (sqrt(13) + sqrt(117) + -1 + sqrt(117))**2).\nAnswer: -70*sqrt(13) + 89770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 42944805.\nAnswer: 300613635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -22. Suppose 0 = a*b - 21 - 75. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k + 3. Let p(g) = 105*g - 16. Determine 2*p(r) + 11*q(r).\nAnswer: -21*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 65624?\nAnswer: -65623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(720) + sqrt(720) + sqrt(20) - ((1*sqrt(1620) + sqrt(20) - sqrt(20)) + sqrt(20))))\/((-3*2*sqrt(120))\/(sqrt(84)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7188039*c - 6490262?\nAnswer: 7188039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*q - 95 = 0, -n + q = -2*n + 47. What is the least common multiple of 22 and n?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - s = 2 + 1, 4*s + 18 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2743 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -74, -124, -194, -284, -394?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178516 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 88, 183, 294, 427, 588, 783, 1018, 1299?\n\"Answer: w**3 + 2*w**2 + 82*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 222333331 (base 4) to base 12\nAnswer: 85b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*40149.\nAnswer: 12044.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(2 - -4)\/(-6). Solve 4*w + s*k + 17 = 0, 0 = -5*w + 4*k - 1 + 31 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -44. Let m be 4*(-1)\/w + (-64)\/(-28). Solve 4*a = -2 - 2, -2*u - m*a = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521 + 666 = -190*b - 93 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:13 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*w + 40466, -3*q + 13494 = w + q. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -416 - -430. Suppose 4*z = y*t - 17*t + 22, 22 = t + 5*z. Solve 3*v - 9 = 4*s - t*s, -2*v = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 11*l + 177. Let r(p) = 3*p**2 - 32*p + 531. Let b(y) = 7*a(y) - 2*r(y). What is the tens digit of b(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, o: 6, q: 3, k: 2, u: 1}. Give prob of picking 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 35 - 31)*(q + 2 - 2) to m + r*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4071, 4086, 4103, 4116, 4119, 4106, 4071?\nAnswer: 4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/(-114)*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7448818 to the power of 1\/2, to the nearest integer?\nAnswer: 2729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfe when three letters picked without replacement from {c: 2, m: 1, j: 1, f: 1, n: 1, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26684, -26703, -26722, -26741, -26760?\n\"Answer: -19*d - 26665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55020 - -222402?\nAnswer: 123342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23066.21 centimeters in nanometers?\nAnswer: 230662100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 1 + (-1 - 1). Suppose -3*z = b - 2, -5*z + 1 = -l. Let t(p) = -16*p**3 - p - 11. Let g(s) = 3*s**3 + 2. Give l*g(j) - 2*t(j).\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78982 is divided by 19254?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 61*a**2 - 829*a - 356. Give m(43).\nAnswer: -2721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -1685, -5757, -13695, -26789, -46329, -73605?\nAnswer: -109907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176.565 - 176. Let l = h - 0.27. Let s = 0.095 - l. Which is smaller: 2\/65 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12488569 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3676 and 99\/9190.\nAnswer: 18380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w - 34. Let l be m(6). Suppose -y - l + 46 = 0. Calculate the remainder when (-2324)\/(-24) - (-1)\/(30\/5) is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-5))\/((-112)\/(-82180)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.9 and -0.05?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (79*-1)\/(0 + -1). Let m be ((-2)\/3)\/(y\/27 - 3). Calculate the highest common factor of m and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:51 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 5*f**2 - 59 + 58.\nAnswer: -5*f**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.07 * 5.\nAnswer: 20.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173288 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -14*j. Let o(y) be the second derivative of 19*y**4\/12 - 1226*y. Give o(l(f)).\nAnswer: 3724*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (11 + -4)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 892 - 567. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 98, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16079 = 2*r + 61921. Round r to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*f - 15, -4*w = 5*f - 0*f. Suppose 3 = -3*x, -q + 3 = x - f. Solve 12 + 20 = -q*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 37 = 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 5. Let r be v(2). Suppose -754 = -4*d + 2*c, -r*c + 13 = -2. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312.0797nm to micrometers.\nAnswer: 0.3120797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from swntnnnswswsnsn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/54 + 9645\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022376727 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 17. Let w = 1637 + -1633. Let j = 0.7 + -0.6. Which is the nearest to w? (a) z (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*g**2 + 3*g**2 + 3*g**2)*(3 - 2 + 0) + 3194 + 162*g**2 - 3194)*(9*g + 3*g - 2*g) to the form y + p*g + r*g**2 + a*g**3 and give a.\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63)*2)\/sqrt(9) + 5)*-4)**2 + ((3 + sqrt(700) + -1)*-4)**2 + -4.\nAnswer: 960*sqrt(7) + 12108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42, 89, 132, 171, 206, 237, 264?\n\"Answer: -2*d**2 + 53*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3 - 950050*z**2 + 3800176*z - 3800168 = 0?\nAnswer: 2, 475021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962 is divided by 346?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6298 and 43\/47?\nAnswer: 6298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243654744.\nAnswer: 2, 71, 2189533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2100 divided by 4.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51070.\nAnswer: 2, 5, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d. Let j(q) = -10*q. Let s(y) = j(y) - 3*n(y). Let b(i) = 451*i**2. Give b(s(w)).\nAnswer: 451*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150 or -76416?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 633 - x**4 - 3*x**3 - 40*x**2 - 3*x + 630 to b*x**2 + p*x**3 + i*x**4 + h + o*x and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.6 (b) -2 (c) 1571 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, k: 2, x: 6, u: 1, c: 4, d: 3}. What is prob of sequence kxk?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -119. Let j be (-5)\/(o\/(-1210)) - 6\/3. Let u be (78\/(-195))\/(-1*1\/j). What is u rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -443 + 443.2. Suppose -2*g = 2*g. Let m = -0.08 + 0.38. Sort m, g, i in decreasing order.\nAnswer: m, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(45) - ((sqrt(135) - ((sqrt(135) - 2*sqrt(135)) + sqrt(135) - sqrt(135))) + sqrt(135) + sqrt(135))\/sqrt(3)))\/(sqrt(9) - sqrt(36)*4).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29441141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h**2 + 7*h - 5. Let q be g(6). Let d(x) = -x**3 - 1. Let k(u) be the first derivative of u - 3. Give q*k(l) + d(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 1. Let r(t) be the second derivative of t**5\/20 - t**3\/6 + t**2 - t. Let s be r(0). What is the remainder when 31 is divided by i(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (5 - -3)) + 0 + 13 + (43 - -12).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - 27 + 7 - 3*y - 16*y**2 + 11 + 14 as p*y**2 + z + q*y**3 + r*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (90\/(-24))\/(6\/(-16)). Suppose 4*m + m - p = 0. Suppose -4*v = 4*g - 48, 2*g + 9 = 5*v - 2. What is the remainder when g is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) -1 (b) -2\/57 (c) -0.1 (d) 1\/4 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(30\/(-72)) + 5)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 81\/6 - 15\/10. Let y = -13 + j. List the prime factors of (4 + (2 - 39))\/y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496828?\nAnswer: 2, 3, 19, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + 3*((1 + sqrt(19))**2 + -5 - sqrt(171)\/(sqrt(45)\/sqrt(5))).\nAnswer: 3*sqrt(19) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 40*o**2 - 3*o**3 + 5*o**3 - o**2.\nAnswer: o**3 + 39*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = 3*v, 4*h + 6 = 5*v + 24. Let m = 107 - 103. Let p = m + v. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0 - 2*n - 21\/5*n**5 - 8*n**3 - 1\/2*n**6 - 12*n**4 + 24*n**2. Factor u(k).\nAnswer: -3*(k + 2)**3*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18 and -28\/38925.\nAnswer: 77850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -8*u**3\/3 - 1202*u**2\/3 - 100*u = 0.\nAnswer: -150, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32717, 32712, 32707?\n\"Answer: -5*g + 32722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 3, p: 1, d: 1}. Give prob of sequence dv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32015647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2*4\/(-6). Let k = 15 - b. Let j = -1449 - -1479. Calculate the lowest common multiple of k and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -78*h + 468. Let v be o(6). Let s(u) = u**2 - 4*u + 5. Let l be s(4). Suppose 7*n = 2*n - l. Is v greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from vvsvvvvvvvvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:45 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13099bc (base 13) to base 11.\nAnswer: -3402495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693373.\nAnswer: 693373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1006 and 56\/336 + (-255)\/(-36)?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -79495.\nAnswer: 1589.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316290?\nAnswer: 2, 5, 19, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.0373.\nAnswer: -0.01119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2, 0.3, 3 in descending order.\nAnswer: 3, 0.3, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 2, l: 4, n: 2, k: 7}. What is prob of picking 1 n and 2 k?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 2\/3, 0.4, 0, 3\/2 in descending order.\nAnswer: 155, 3\/2, 2\/3, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172 + 186. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 7:08 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - y + y + (4*y + y + 0*y)*(1 - 2 + 0) + (2 + 1 - 5)*(y - y + 2*y)*(5 + 0 - 3) + 1 - 1 - 3*y + (3 - 2*y - 3)*(3 + 2 + 2) + 3 - 2*y - 3.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 829 and 71294?\nAnswer: 71294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.4, 95\/11, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144784398?\nAnswer: 2, 3, 11, 2193703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10052, 4, 2\/15?\nAnswer: 10052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*h + 42, -22*h - 6*l = -20*h + 112 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let h = 7 - k. Solve -5*i - h*f = -15, -3*i - 6 = -5*f + 3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004906153082 to six dps.\nAnswer: -0.000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2360 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/60 + 7*b**4\/24 - b**3\/2 - 834*b**2. Suppose -3*p - p = -36. Let z be 6\/5*(-60)\/p. What is l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16517 - 5649*k - 4182 - 4165 - 4225 - 4276 wrt k?\nAnswer: -5649","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1365 + 3095?\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 518202144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**6\/h))*h\/(h\/h**(-11)))\/(h\/(h\/h**8)*h\/(h\/(h\/h**(-2\/5)))) assuming h is positive.\nAnswer: h**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23*a**2 + 23*a - 148. List the prime factors of p(7).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 119777?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(3 + 0) - -35. Put 2, -3, s in descending order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 3, 27\/23, -0.07511?\nAnswer: 27\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 71.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 4*i**2 + 5*i + 3. Let u = 17 - 12. Let f be z(u). Let b(s) = 5*s - 1. Let v be b(f). Solve 3*h + h = -2*q + v, 0 = 3*q - h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 673238\/2425 or 279?\nAnswer: 673238\/2425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**(-2\/5))*a))**(2\/21)\/(a**1)**(-26))**29 assuming a is positive.\nAnswer: a**(79286\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186121 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**28)*s*s**(-29\/4)*s assuming s is positive.\nAnswer: s**(-133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 11 = 3. Let p be (o - 0)*5\/10. Let h = -4.4 - 0.6. What is the second smallest value in p, h, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4028 - -16183837027.\nAnswer: 16183832999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9869265?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(10\/6 - 2). Let u(a) = 4 - a**2 - m. Let f(q) = -2*q**2 - 4*q - 4. Let j(l) = 2*l**2 + 5*l + 5. Let s(h) = -5*f(h) - 4*j(h). What is s(u(t))?\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + h = -5, 2*b + 2*h - 29 = -3*h. Let l(u) be the first derivative of 4*u**2 - 2*u + 3. Calculate the remainder when l(b) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - ((-24)\/(-9))\/(-4). Suppose 0*o + 5*o + 5*r + 30 = 0, f = -o - 3*r - 8. Sort o, 3, 2 in ascending order.\nAnswer: o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 2*b = 21*k, -9 = 5*k - 2*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10467*c**2. Let i(t) = 1759*t. Give s(i(h)).\nAnswer: 32385745827*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 37. What is b(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * -646072.\nAnswer: 39410392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 12.9. Let u = p + -5.3. Round u to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/60 - 38*c**5\/15 + 989*c**4\/12 + 18490*c**3\/3 - 6*c**2 - 254*c + 1. Find w, given that l(w) = 0.\nAnswer: -10, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*t + 1569, -523 = 27*o - 28*o - 5*t. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 5)\/2 + 0. Let h be 3*2 + -4 + 8. Suppose 5*x - 2*z - h = 0, 14*x - 5*z - 4 = 12*x. Solve l*y + 5 = x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -51. Suppose -16*b - 288 = -o*b. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:06 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 862 and 163148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13695\/(-8217)*6\/(-4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxsiilbxxil. What is prob of sequence ii?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 874 + -4354\/5. What is the biggest value in 3, 1\/4, w, -0.01?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {x: 2, b: 7, n: 1}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 101010201?\nAnswer: 101010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010110001110010 - -100?\nAnswer: 1000010110001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -n + 43. Suppose -16 + 4 = 4*f. Let u be 8\/f + 2\/(-6). Is u >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 22*t**2 + 59*t - 21. Let k be u(23). Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(245) + -5.\nAnswer: -42*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 683561\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb (base 14) to base 7.\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {c: 7, x: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p**2 - 4. Let q(c) = -18*c**2 + 5. Let z(n) = -5*o(n) - 4*q(n). Let l be (-16 + 17)\/(2\/(-4) - -1). Let d(a) = -6*a**2. Determine l*z(w) - 5*d(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -123. Which is bigger: t or -15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 455100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 844345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -4*i, 3*i + 0*i - 25 = -2*l. Let m = l - -10. Let z = m - 2. Calculate the smallest common multiple of z and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/35 - (-2 - 3*14). Let w be (-16)\/g + ((-186)\/(-5))\/3. Suppose 2 = -2*m + 26. Calculate the highest common divisor of w and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 - 4*w + 3. Let g be v(-4). Suppose g*l + 344 = -l + 4*x, -439 = 5*l - 2*x. Let r = l + 138. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-208 - -137)*(16 - 144\/8).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000000011 (base 2) in base 8?\nAnswer: 16003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*r**2*s**4 + 6*r**2*s**2 + 2192*r**2*s + 17*r*s**4 - 2*s wrt s.\nAnswer: -1872*r**2*s + 408*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-54))\/((-6)\/(-378))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24374.96 and 7067?\nAnswer: 17307.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-147)\/56*(-1)\/(-9)*3 and -19\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 - 49*d - 141. What is f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77)\/(sqrt(7) + sqrt(28))*-1 + -1)*1*-3)**2.\nAnswer: 96*sqrt(11) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 6*q - 21 - 82 + q**2 - 6*q - 2*q**2. Let u(r) = 311*r. What is u(j(p))?\nAnswer: -622*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2108*c**2*f**3 - 368*c**2*f**2 + 3*c**2 wrt f.\nAnswer: -12648*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 39582661\nAnswer: -3\/39582661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11415*b**4*l - 2*b**3*l - b**2*l - 297*b**2 - 13*l wrt b.\nAnswer: 273960*b*l - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1210928 = 2*k, -5*k - 220*j = -223*j - 3027326. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 628, 940, 1250, 1558, 1864, 2168?\nAnswer: 2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3570*m + 6786. What are the prime factors of u(8)?\nAnswer: 2, 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(135\/12)*29877\/866.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*o = 226*o. Let w(n) = -n - 21. Determine w(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388740?\nAnswer: 2, 3, 5, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 167, 518, 1191, 2294, 3935, 6222, 9263?\nAnswer: 13166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.015, -2.1, 2 in decreasing order.\nAnswer: 2, 0.015, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1941355?\nAnswer: 2\/1941355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 12 - (14 + (-17 - 54) + 22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 25. What is g(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.8968\nAnswer: 0.17936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 232*p**2 + 279*p + 45099. Give g(113).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -0.3, -118, 5\/4, -2139 in decreasing order.\nAnswer: 3, 5\/4, -0.3, -5, -118, -2139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16061.6 - -16066. Which is the closest to -1? (a) 2\/7 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.982 + -9.982. Which is the nearest to j? (a) -0.04 (b) 47 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (136\/(-5))\/((-11)\/55). Let l be -5 + 65\/15 + p\/(-3). Let q = -44 - l. What is the lowest common multiple of 17 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.222285 centuries in years?\nAnswer: 722.2285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u**3*z**2 - 109*u**3*z - 18*u**2*z - 5*u*z**2 - 2*z**2 wrt u?\nAnswer: 66*z**2 - 654*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 618 + -354. What is the least common multiple of 304 and m?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -80. Let u = -0.3 - -0.4. Put -0.4, u, b in decreasing order.\nAnswer: b, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 57 + 4*y + 96 - y**2.\nAnswer: -y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1421\/(-14))\/(1\/2). Let g = p - -500. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 18. Let h = d - 43.7. What is h rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - 11\/((-22)\/(-12)). Find the common denominator of 2828\/240 - o\/30 and 38\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + 16*u + 2 - 19*u + 0 + 2*u**3 in the form r*u + v + d*u**2 + m*u**3 + k*u**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0 + 4 - 3)*(4827835*b - 4827706*b + 2 - 11).\nAnswer: 258*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r + 3*t + 17, t = -3. Find the common denominator of r\/22 - 4716\/(-891) and 71\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827237574 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*p - 25, -10758*p - 3 = -10755*p + 5*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, -8, -76, -170, -290, -436?\n\"Answer: -13*j**2 - 3*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3 + 22*h**2 + 3*h + 4183 with respect to h.\nAnswer: -6*h**2 + 44*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(143)*1)\/sqrt(11) + sqrt(13))*6)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = 2*c, -100*f = -102*f + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1526*n**2\/3 + 1280*n\/3 - 8 = 0. What is n?\nAnswer: -6\/7, 2\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(9)\/sqrt(27)*3*5 + ((0 + sqrt(6)\/sqrt(2))**2 + -4 + 2*sqrt(3) - ((sqrt(3) + sqrt(6)\/sqrt(2) + -5)*5)**2).\nAnswer: -923 + 507*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54271507 + 54271298.998295. Let f = z + 208. What is f rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -149*z. Let g(h) = 241*h - 459*h + 220*h. Give y(g(v)).\nAnswer: -298*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -17. Let v = 4.5 - m. Which is the closest to 0.1? (a) -2\/9 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.04?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 9*i + 33\/4.\nAnswer: 3*(i - 11)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.24 and -1.1?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -951\/5, -20.\nAnswer: -951\/5, -20, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -610427, -1220843, -1831271, -2441711?\n\"Answer: -6*u**2 - 610398*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(((q**10\/q)\/q)\/q)\/q*q**(3\/7))**(-19) assuming q is positive.\nAnswer: q**(-988\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/105 + 3*a**6\/40 - 1627*a**3\/6 + 1536*a**2. What is the derivative of j(s) wrt s?\nAnswer: -8*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 454\/8 + (-25)\/(-100). Suppose -83 = -v + a. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - 29480\/(-385))*35\/(-1310).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 5*j. Let u be v(-5). Which is smaller: u or 1\/59?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78637.\nAnswer: 13, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 19 = -2*l, 2*z - 2 = -4*l. Let h = -3 + z. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:07 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/108 and -67\/2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1887*d = 1899*d + 34 + 110 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 + -9) - (-1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 = -d, 12 = 2*w + 2*w. Suppose -15*p + d*p - 3720 = 0. List the prime factors of p.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjzyyvjyyjyvyy. What is prob of sequence ygv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1535261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -2877 (c) 0.2317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 5*w**2 - 8*w + 5. What are the prime factors of t(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*d**3*o + 64*d**2 + 5*d*o - 1 wrt d?\nAnswer: 1752*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/(2\/(-12)). Let h(d) = -3*d. Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1431 times -15065\nAnswer: 21558015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434655 (base 8) in base 2?\nAnswer: 10100011100110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 196, 202, 210, 220, 232, 246?\n\"Answer: g**2 + 3*g + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 95*u - 633. Let a be x(13). Is 600 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -413728 and -547?\nAnswer: 226309216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 972511.8l?\nAnswer: 972511800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*t = -210, 2*t = w + 6*t - 60. Let c = -43 + w. What is the common denominator of (0 - (c - -1)) + (-2703)\/371 and 8\/17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -60. Let f(z) = z + 18. Calculate the remainder when -1 - (-3 - -4)*p is divided by f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2000?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -4*r**3\/3 - 3*r**2\/2 + 381*r. Let n(q) = -8*q - 2. Determine 2*c(i) - 3*n(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-40))\/(891\/(-6930))*18\/7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*z = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-9) - (-2)\/(-3). Let s(b) = -f*b**2 + 21*b**2 + 10*b**2 - 5*b**2. Let w(c) be the second derivative of -c**4\/6 + 6*c. Calculate s(w(q)).\nAnswer: 92*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v - 1. Let o(m) = -6*m**2 + 5*m + 5. Let p(c) = -4*o(c) - 20*r(c). Let n(z) be the first derivative of -2*z**2 - 2. Give n(p(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, 162 in ascending order.\nAnswer: -3, -1, 1, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 - -2081\/9. Let r = 1.8 - 2. What is the second biggest value in r, w, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (18 + -2 + -56 + 11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3467*u - 1877*u - 1573*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3719279 days to weeks.\nAnswer: 0.1959897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176514?\nAnswer: 2, 151, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.18.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let d(w) = -8*w**a + 5*w**2 - 4 + 1 + 4*w. Suppose -3*y + 6 = -0*y. Calculate d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 89*o + 76*o + 82*o - 247*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000131521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*s - 312 = 0, -50*s + 53*s = -4*q + 589. Solve -6*o = -q + 154 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3859 + 3814.11. Let t = 45 + c. Let n = 7 - 12. What is the third smallest value in 5, t, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3300345 nanograms?\nAnswer: 0.0003300345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10 or -13\/400?\nAnswer: -13\/400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*z - 0*z. Let k be 11 + -5 - (-728)\/(-126). Sort z, k, -0.1, 1.\nAnswer: -0.1, k, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42, -1\/12, 3, 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 290476*c**2 + 8*c + 109. Suppose -2*y - 105 = -7*y. Let i be k(y). Round i to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u - 8. Solve -3*r + 7 - u = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/924*7*-2 - 8\/6. Which is the nearest to 1? (a) -0.2 (b) i (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c + 2*c)*(0*c**2 + 0*c**2 - 3*c**3) + 14112*c + 1328*c**4 - 14112*c.\nAnswer: 1322*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 253, -0.5, 9\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w + 2. Let o be g(0). Let b be (1\/2)\/(2\/8). Let c = b + -2. Solve 0*p + 2*p - y = -6, c = o*p + 3*y - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13414 at least as big as 214631\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14196*l**5 + 37634376*l**4 + 73238691*l**3 + 42299421*l**2 + 7067457*l + 358155 = 0. What is l?\nAnswer: -1, -5\/7, -3\/26, 2653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -1 + 2393 + -2401.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11010?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/110 + (-42)\/11. What is the nearest to 1 in r, -0.045, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 12\/5*b**5 - 3\/2*b**2 + 0*b - 1\/2*b**6 - 9\/2*b**4 + 7 + 4*b**3. Factor x(j).\nAnswer: -3*j*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -170*y**3 + 17*y**2 + 17*y - 3. Suppose -247*k - 13 = -248*k + 4*h, -4*h = -4. Let i(u) = -57*u**3 + 6*u**2 + 6*u - 1. Calculate k*i(n) - 6*p(n).\nAnswer: 51*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + 61\/48*672\/(-72) and -73\/488.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35160000 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -157, 0, 141, 10, 3 in descending order.\nAnswer: 141, 10, 3, 0, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 + -127. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -0.03026?\nAnswer: 0.13026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-87 - -89)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 - 18*h**3 + 36*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181649053.\nAnswer: 13, 97, 109, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549636.\nAnswer: 2, 3, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, -621, -3472, -9411, -19470, -34681, -56076?\nAnswer: -84687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18628259 to 3 decimal places.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18483 by 183.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2771701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 5*c**2 + 6*c - 1. Let d be f(-6). Let a = -15\/19 - -48\/133. Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 19 + 5 - 6 to g + s*k and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2497.1, 0 in descending order.\nAnswer: 2497.1, 3\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**3\/3 + 8*i**2 + 14*i - 2268. Give s(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose -y + 3*u + 8 = 0, -v*y + u + 0 = -10. Factor -1\/2*a**y + 1\/2 + 0*a.\nAnswer: -(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*x - 9658 = 697*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6 - s**2 + 12 + 3 + 7*s. Let q be o(10). Let b be 9\/q*1\/3. What is the closest to -1 in 2, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 + 2*m + 4. Let c be r(-5). Sort 5, 3, c, -1 in increasing order.\nAnswer: c, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaaa. What is prob of picking 1 z and 3 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xii when three letters picked without replacement from xxixxxxixxixxxixix?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617169 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 - 914370*z**2 + 41802710460*z + 83609078440 = 0.\nAnswer: -2, 91438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 853.405 to 0 dps.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -38 + 40 + (-2)\/1 + 189. Calculate the greatest common factor of 231 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5823827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.344, 1\/8, -6, 0, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 20*v - 29. Let x be h(15). Let l = -74 + x. Are -27 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**2 - 3*h + 5. Let s = -199 + 201. Calculate d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from hidoohpcdodchdi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 1. Let s(h) = -6*h**2 - 2*h + 654. Determine 2*r(x) - s(x).\nAnswer: 2*x**2 + 2*x - 656","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-68 + 1)\/(7392\/928 + -8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2))**(-2\/21)\/(d**11*d*d\/d**(-4)) assuming d is positive.\nAnswer: d**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1.4, 4\/5, -0.3, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvvkvkvkvv. What is prob of picking 1 v and 3 k?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-7))\/((-378)\/2205) - 7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 58\/(-18)*1)*1107\/246. Let z = 142 - 137.99. Let t = -0.01 + z. What is the third biggest value in 0.4, t, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3635 + -1034. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(212\/(-96) - -2)*-4. Let k(u) be the third derivative of -u**5\/60 + u**4\/4 - u**3\/2 - 4*u**2. Determine k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(98) + sqrt(98)*-2 + -2))**2.\nAnswer: 700*sqrt(2) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*q + 21, -3*v - 4*q + 60 = 0. Solve 5*y = 2*x + 2, 9*y + x - v = 7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -15. Which is the closest to i? (a) 0.3 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 4*d + 40 = 5*l, -d - 13 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 2. What is the highest common factor of u and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:04 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 93?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6675 and 0.4?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172983 and 6218559.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - f + 297 = 268, 30*h = 3*f + 225 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8903664 and 175692.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638808 is divided by 758?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) 2\/7 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4363.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.06, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1015, -1014, -1013, -1012, -1011, -1010?\n\"Answer: j - 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 >= 2\/12293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 24*l**3 + 7*l**2 - 12*l - 7. Let x be b(7). Let g = 1283 + x. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -6 + 16. Let x = 0.09 - -8.91. Let d = -9.4 + x. Put -0.5, d, l in decreasing order.\nAnswer: l, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 48*q**2 + 15. Let g be n(-24). Let c = -45 - -75. What is the greatest common factor of g and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 - 6 - -14) - -21) + 3 + 6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**5\/40 + q**3\/12 + 11*q - 14. Let m(y) be the first derivative of c(y). What is u in m(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/66 - 268\/(-22). Let q be 2\/8 + 45\/g. Suppose 0 = -5*l - 102 + 112. Solve 4 = 4*m + 4*d, -l*m - q*d = 3*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 - 7*h**3 + (h**3 - 4*h**3 + 2*h**3)*(-2 - 2 + 3) + (2*h**2 - 7*h**2 + 2*h**2)*(2*h + 10*h - 2*h) + 3*h**3 + 3*h - 3*h.\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) + (-103600)\/(-6216)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971851639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.952 + 34?\nAnswer: 141.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(51) + ((sqrt(306)*-1)\/sqrt(6) - sqrt(51)))\/(sqrt(147)*-1 + sqrt(3) + sqrt(27) + sqrt(108)\/sqrt(4) + sqrt(27)))**2.\nAnswer: 1088\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*2\/(-27)*(172 + -178).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 7 - 58. Let l = p - 12. Suppose -91 = -l*m + 4*u + 103, 5*m - 2*u - 192 = 0. Calculate the lowest common multiple of 10 and m.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, and 2 r when four letters picked without replacement from zzrrrrwrrvzzzcrv?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6287315?\nAnswer: 5, 1257463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*k - 6. Put k, -1, 0.5 in decreasing order.\nAnswer: k, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -15, 14, 135, 378, 773?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332266, -332271, -332280, -332293, -332310?\nAnswer: -332331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -4. Let o be (3\/2)\/(6\/20). Which is the closest to n? (a) -0.3 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1036, -1037, -1038, -1039?\n\"Answer: -q - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 225?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -2. Suppose -u*y + 13 = 2*f + f, -4*y + 3*f = -32. Suppose y + 1 = -3*v. Which is the third smallest value? (a) -1 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162552*g + 4322149.\nAnswer: 162552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72494 by 413.\nAnswer: -72494\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10022101002?\nAnswer: 10022101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16333934.\nAnswer: 2, 8166967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 573*f**2 - 31*f + 39. Let q(y) = 286*y**2 - 15*y + 19. Let i(b) = 13*q(b) - 6*x(b). Is i(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199775 divided by 239955?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.048 - -90.048. Which is the third biggest value? (a) 2\/15 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220\/3 > -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-89\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -9. Differentiate -7*t**3 + b + 3*t**3 - t**3 - 2*t**3 wrt t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-414))\/(8\/(-46)) + (-20)\/(-48)*-106\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from suqqbbuubwbuqwv?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x**3 - 7 + 0*x**4 + 8\/5*x**5 + 5*x**2 + 0*x. Find the second derivative of a(d) wrt d.\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -147*r + 21*r + 17136. What is the remainder when 1269 is divided by r?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, k: 3}. What is prob of sequence kk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 4, u: 7, x: 3, e: 1}. Give prob of sequence ef.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1555605 divided by -172845.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/184)\/((-189)\/(-282)). Let t = d + -6\/161. Let m be (-1)\/(-2)*(-5)\/(-2). Which is the closest to 1? (a) -6 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*k + 2*k**2 + 79*k - 94*k as f*k + q + z*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*x, 13*w - 61*w + 51*w + 5*x - 77 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - x = 920. Solve 0*b = -4*b - w + 15, 5*w + x = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 18 + 29*s**2 + 22 - 2*s in the form z*s + i*s**2 + m and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*s - 4 = 2*x, -6 = 5*x + 2*s. Let p be 0\/12*1\/x. Solve p = z - 3*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 8. Let b be -7*(-8)\/(-14)*-2. Let i be 2*(-4)\/b*0. Calculate f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 61, 0.3, 1\/11, 4 in descending order.\nAnswer: 61, 4, 1, 0.3, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2))\/((-12040)\/980 - (0 + -12))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziz when three letters picked without replacement from ryyzymrrrmmim?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1806086*h**2 - 19*h - 15175056*h**2 + 19*h.\nAnswer: -13368970*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 + p**2 - 8*p + 16. What is the tens digit of u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 529*v**5\/5 - v**3\/3 - 33*v**2 + 3*v + 185. Find the second derivative of o(h) wrt h.\nAnswer: 6348*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3481*j + 3481*j + 1070*j**2)*(-j**2 - 3*j**2 + 0*j**2 + 0*j**2).\nAnswer: -4280*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*b = x - 11, 4*x + 2*b = 22. Let f be x\/(-2)*(-12)\/10. Factor 2 + f*j**2 - j**2 - 3*j**2 - 4*j + 3*j**2.\nAnswer: 2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 13. Suppose 3*p - o = -0*p. Suppose -p*j - 161 = -491. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-14 + 15) - 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 150 + 58. Suppose 38*u = 22*u + 480 + 768. Calculate the greatest common factor of f and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24839 - -24837. Let v(i) = -48*i - 106. What is v(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/13 + 12*f\/13 + 32\/13 = 0 for f.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8 - 29*g**2 + g**3 + 9*g + 21*g**2 + 3*g. Calculate the lowest common multiple of a(6) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 354 = -2*d - 566, 0 = -4*d - 8. Suppose -933 + b = -8*w. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -2 + -4 - -48. Let d = u + -57. Let o = 46 + d. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) -2 (c) 2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 346 in -10, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 8*g + 0 + g - g**3 + 5 - 9. Calculate the remainder when i(-4) is divided by 1\/(((-2)\/2)\/(-11)*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1251700 and -11\/2002720.\nAnswer: 10013600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13027, 13015, 13001, 12985, 12967, 12947, 12925?\n\"Answer: -a**2 - 9*a + 13037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 5, -1660, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16457 + -81590?\nAnswer: -98047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1875, 3770, 5661, 7548, 9431?\n\"Answer: -2*a**2 + 1901*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -443 + 225 + 218 + 3305*h**3 + 4141*h**3 + (-2*h**3 + h**2 - h**2)*(0 + 4 - 5) in the form f + m*h**2 + w*h**3 + a*h and give w.\nAnswer: 7448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, o: 11}. What is prob of sequence ho?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 174?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2883 - -3070. Let d be -9 + 11 - 30\/(-2). What is the greatest common divisor of m and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:24 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**6 + 2*v**5 + 5172562*v**3 - 470251*v**2 - 84 wrt v.\nAnswer: 120*v**3 + 120*v**2 + 31035372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (289*775\/21080)\/((-4)\/(-96)*-3)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*i - 12, 237*c - 240*c + 8 = 2*i. Put 4, -3, -14, c, -1 in decreasing order.\nAnswer: 4, c, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20525.93088 rounded to the nearest 10?\nAnswer: -20530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-270)*3)\/(2\/(-6))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1445*m**3\/6 + 28305*m**2\/2 + 141500*m + 1175000\/3 = 0. Calculate m.\nAnswer: -47, -100\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = 1. Suppose -1 + 17 = d*i. Suppose -1 = -i*q - 13. Sort q, 0, -5.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2983736.\nAnswer: 2, 7, 53281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-117) + (-170229)\/(-39). Let b = 5432 + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006802422259 rounded to five decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -69. Let l(d) = 4*d - 9. Let t be l(p). Suppose 3*f + 21 = -t*i, 0*i = 3*i + f + 17. Sort 2, 1, i, 3 in descending order.\nAnswer: 3, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -59\/4, 5, 1570?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 - (233 + -84 - 99)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 65580 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -5 + 5 - (-4)\/1. Let h be (0 - 44)*(v - 10)\/10. Calculate the common denominator of -87\/8 and ((-95)\/(-10))\/(h\/10).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 48*n + 23. Let b be p(9). Suppose -24 = b*y - 71*y. Let t(l) = -l - 13. Calculate t(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78241 by -70.\nAnswer: 78241\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7932 is divided by 1339?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951393, -1902714, -2854035, -3805356, -4756677, -5707998?\nAnswer: -6659319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -17. Let c = 1 + 12. What is the remainder when c is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 5 + -5 + 4. What is the greatest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2550 and -7.\nAnswer: 17850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (152\/24 - 1)\/((-1)\/6). Let p be 0 - (-460)\/(-16) - 3. Let n = z - p. Which is the nearest to 2? (a) 1 (b) n (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 2376.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-4))\/(78\/(-99840)*32) - (-18)\/(-2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 19. Suppose -4*y + 7*y + 6 = 0, 3*i - 10 = -y. Put -4, z, i in decreasing order.\nAnswer: i, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53885, 106641, 159401, 212165, 264933, 317705, 370481?\nAnswer: 423261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*2)\/sqrt(2) - ((sqrt(98)*-2)\/sqrt(7) - sqrt(14) - sqrt(14)))\/(sqrt(2592) - (3*sqrt(2592) + sqrt(2592))).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3156 (base 8) to base 5\nAnswer: 23041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-216)\/162)\/(4\/9). Put 4, 29, x in descending order.\nAnswer: 29, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 442.7 - 443. Which is the smallest value? (a) y (b) -2 (c) -0.09 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -0.1, 60, -0.7?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 92*t**2 + 179*t + 92. Let u be a(90). Let f(k) = k**3 + 3*k**2 - 4*k + 5. Let b be f(-4). Put b, -3, u, -5 in descending order.\nAnswer: b, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g + 70*g = 54. Let v(d) = -3*d + 20. Calculate v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 7353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -172140 divided by -2\nAnswer: 86070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 29*b + 56*b + 52 - 29*b - 5*b**3 + 23*b**3. Find the first derivative of x(d) wrt d.\nAnswer: 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 53. Let r be m\/(-2)*(-2)\/(-4). Let f = -54 + 94. What is the highest common factor of r and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 156*s + 978. Calculate the lowest common multiple of 128 and l(-6).\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247 + 357. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 3*n**2 + n - 1. Let d be p(3). Suppose d*k - 10 = -h, 11 = k + h + h. Solve b + 2\/3 + 0*b**2 - 1\/3*b**k = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/3 + 6*y. Let b(d) = -18*d. Calculate u(b(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10250015 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93, -346, -779, -1392, -2185, -3158?\n\"Answer: -90*y**2 + 17*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/424 and 65\/36?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**3 - 31*r**3 - 36*r**3 + 25*r**3)*(7 + 0 - 21).\nAnswer: 728*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12111 + -2043355?\nAnswer: -2055510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 282, 0, 2, -8 in ascending order.\nAnswer: -8, 0, 1, 2, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -7, -1.34892 in decreasing order.\nAnswer: -0.6, -1.34892, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1244, 10090, 34102, 80864, 157960?\nAnswer: 272974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*b**4*g - 14*b**3*g**3 - 2*b**3*g*t + 417*b**2*g**3 + 4*b**2*g**2*t + 3*t wrt b?\nAnswer: 2208*b*g - 84*g**3 - 12*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 - 3*m - 6. Let k be b(9). List the prime factors of k\/(-18) - 4\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + l - 0, 2*w = -l + 3. Let r(k) = -k**3 - k**2 - k + 12. Determine r(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 48. Let c(h) = -h**3 + 10*h**2 - 12*h + 34. What is the remainder when b is divided by c(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10068.9*-16\nAnswer: 161102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 37\/2 of a second?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 3, l: 1, v: 6, k: 3, n: 4}. What is prob of sequence nlv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4 - 16*b**3 - 42*b**2 - 40*b + 80. What is s in y(s) = 0?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 391411419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axw when three letters picked without replacement from aaaaaawaxxxhx.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30972 - -42544.783.\nAnswer: 11572.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5 - 11898*a**4 + 11689197*a**3 + 213713802*a**2 + 559138464*a + 357125760 = 0.\nAnswer: -15, -2, -1, 1992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/3*(3 - 6). Suppose 0 = 2*c + 8 + 8. What are the prime factors of (-2)\/c - 38\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let v = 9 - 8. Suppose 4*x - 4 = 4*k, -k = -x - 5*k + v. Sort x, 2, j in increasing order.\nAnswer: x, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, -3, -4\/9 in ascending order.\nAnswer: -3, -4\/9, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06418 * -52.23.\nAnswer: -3.3521214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoaa when four letters picked without replacement from oaoaao.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1101, -5, -2\/5, 0.4 in increasing order.\nAnswer: -5, -2\/5, 2\/1101, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22743\/(-35) - 8\/(-10). Let m be (-21)\/126 + n\/(-6). Suppose 16*s - m = -28. Solve s*r = -q + 21, 3*q + 2*r = r - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 6. Calculate t(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729\/6 + 6\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**5 + 43281*g**4 + 346047*g**3 - 129837*g**2 - 951606*g + 692112 = 0.\nAnswer: -14419, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(2\/7)*w)\/w*w)**(-42))**(-2\/27) assuming w is positive.\nAnswer: w**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*j - 24*j**2 - 593*j + 24*j**2 - 25*j**3.\nAnswer: -25*j**3 - 797*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.33 and 0.123.\nAnswer: -1.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 14468 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 530234183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pysylyxyyyxjyypjp. Give prob of sequence jy.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7183 is divided by 90.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 168 + 0\/(-1 - 12).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 69*m**2 + 18*m + 2. Let l be b(17). What is the greatest common divisor of l and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*a + 15, -7 - 16 = s + 5*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7338\/13 + -53699\/104. Let y = -48 + t. Let d = 21\/5 + -73\/15. Sort 1\/3, y, d.\nAnswer: d, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttxt when four letters picked without replacement from {x: 1, t: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116963 rounded to 3 dps?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1660525 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18355 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*v**2 + 59*v**2 - 32*v**4 + (2*v**2 + 3*v**2 - 6*v**2)*(-1 + 1 - 2*v**2) + 0*v - v**4 + 0*v + 10*v**4 - 19*v**4 + 7*v**4.\nAnswer: -33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -14*f. Let c(d) = 172*d**2. Determine m(c(l)).\nAnswer: -2408*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 13. Suppose -7*n = -6*n + 2*f - 2, 0 = 2*n - 4*f - 4. Let g(c) = 2*c. Calculate n*p(i) + 4*g(i).\nAnswer: -2*i - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 3*p + 3. Let q be i(3). Suppose 2*r - 57 = -q. Solve 3*c - r = -5*s, 3 = s - 0*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/(-6))\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) - 40\/(-225). Which is the closest to 0? (a) -0.3 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*j - 8 = 252*j. Suppose -2*w - 5*c + 531 = -208, 4*w = -j*c + 1518. List the prime factors of w.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (751 + 1243 - 2421)*(0*p + p + p)*(p**2 - 2*p**2 + 0*p**2).\nAnswer: 854*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388963, 778010, 1167057, 1556104?\nAnswer: 1945151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136.1 + 136. Suppose -5*d + 2 = -3*d. Which is the closest to h? (a) -4 (b) -1\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from {o: 1, e: 2, m: 5, g: 6, a: 5, q: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/10 + 29*r**4\/4 - 293*r**2. Calculate y(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:34 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1.69 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 248 = -3*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, -50 in decreasing order.\nAnswer: 4, 2, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 5*s - 11. Let r be i(-5). Let z = -5 - r. What is the remainder when 91 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**2*z**3 - v**2*z**2 - 2*v**2 - 8*v*z**4 + 4*v*z**3 - 80*v*z wrt z?\nAnswer: 24*v**2 - 192*v*z + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958665233 to the power of 1\/4, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40162447 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*m - 110 + 945 = 0, 0 = -x + 2*m + 179. Suppose -4*c + 5*y - 152 = 0, 4*c + c - y = -x. Is c < -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11024 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 + -2 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.13203 + 0.13203. Suppose 0*m = 2*m + 2. What is the smallest value in p, m, 2.2, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 - -169. Solve -7*v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 536 + -375. Let v = 108 - r. Let c = v + 117. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494743 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - ((1*sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68)))\/sqrt(4) + -3)*-1 - (sqrt(17)*-3*5 + 3 + -2))**2.\nAnswer: 64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -69211398, 3, 4 in increasing order.\nAnswer: -69211398, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 395*k**4\/12 + 461*k**3 - 11*k. What is the second derivative of g(l) wrt l?\nAnswer: 790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {m: 7, u: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and (-4)\/(-38) + (-6454)\/(-1140).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 1 + 2 - 2)*(0 + 4*g**2 + 0).\nAnswer: 4*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 835886.6nm in micrometers?\nAnswer: 835.8866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, i: 1, j: 6, h: 1}. Give prob of sequence ijj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 31132*q**3 - 6956*q**2 - q wrt q?\nAnswer: -120*q**2 + 186792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 1. Let g be l(-1). Let q = 14 - 11. Suppose q*v + 4*d - 23 = 0, 0*v - 24 = v - 5*d. Solve v = -b - g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/((-36)\/(-270)*(-5)\/(-13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**6\/72 + 7*p**3\/3 + 36*p. Let v(q) be the second derivative of r(q). Let w(n) = 4*n. Calculate w(v(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*6*(-10)\/90*(-1)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) -71 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/4 + 3*w**4 + 3*w**3\/4 - 21*w**2\/2 - 15*w - 6 = 0. Calculate w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:54 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45813 bigger than 45785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 606328.\nAnswer: 1818984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 2, i: 1, u: 2, c: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -33. Suppose 0 = 2*k + z + 3*z, -2 = k + a*z. Suppose 0 + 1\/3*i**3 - 2\/3*i - 1\/3*i**k = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 11*c**6\/8 - 109*c**5\/30 - 5*c**2 - 6. What is the third derivative of p(n) wrt n?\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -k - 3*k, -4*g + 3*k + 8 = 0. Let n(s) = -s**2 + 2*s + 3. Let u be n(g). Solve u = r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.015916261\nAnswer: -0.0063665044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5129 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1901 + 5113?\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*o - 10 = -4, 4*o + 1 = -5*n. Let k(q) = 2*q - 6. Let b be k(5). Factor 3*s + 8*s**b + 8 + 29*s - 22*s**n + 0*s**2 - 6*s**2.\nAnswer: 2*(s - 2)**2*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6*q\/(q*q**(-38)*q))**(-3\/25) assuming q is positive.\nAnswer: q**(-132\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3207 is divided by 130?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14876520, -29753041, -44629552, -59506047, -74382520?\nAnswer: -89258965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60438 - -8?\nAnswer: -60430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/((-6)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-42))\/((-65)\/(-195))*1\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 558 = 4*j, -j + 5*n = -5*j + 546. Suppose 4*b = 4, j = -f + 5*f + 3*b. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10944*o + 1388692 = 15383*o - 375217 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.158 + -0.13. Let u = w - 0.02898. What is u rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*t**2 - 2099*t**2 + 511*t**2 + 525*t**2 + 524*t**2.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.34679 millimeters in kilometers?\nAnswer: 0.00003134679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-31)\/(-4))\/(13\/52). Let f = 34 - z. Solve -f*r = 3*i, 3*r + 0*i + 4 = i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 7 = -4*h - 23*l, 0 = -4*l + 28. Let g(k) be the third derivative of h*k + 0 + 19*k**2 + 1\/4*k**4 + 0*k**3 + 1\/40*k**5. Factor g(w).\nAnswer: 3*w*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2879815 centuries?\nAnswer: 2.879815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) -20 (d) 1.38 (e) -16 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -m, -437 = -5*s + 3*m. Let r = -85 + s. Suppose -p + 9 = 5. Solve 7*y - p*y - 12 = r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -6)\/(1 + -3). Let h be t\/(3*(-6)\/9). Solve -o - 5 = -h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 1 + (-4 - (14 - 28)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016861476 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 27*x**2 - 4701*x + 546. Calculate v(174).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 - -1071. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533046216?\nAnswer: 2, 3, 19, 29, 173, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -16*x + 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 755.92 + -756. What is the closest to -2 in b, -1\/4, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 9}. Give prob of picking 1 t and 2 a.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 695, 1564, 2781, 4346?\nAnswer: 6259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let k(p) = -40*p + 5. Let i(l) = -k(l) - w(l). Suppose 2*g = -4, n - 4 - 1 = g. Let b be i(n). What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 5\/11 (b) 4 (c) 2\/7 (d) 1\/5 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6\/7))**28 assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-6))\/(540\/144)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p - 3932 = -5*q, -4*q = 3*p - 3145. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4 - 5. Suppose 0 = -4*o + 5*j + 11 + 6, q*j = 2*o - 9. Let o*s - 2*s + 0*s + s**3 - 2*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3079*f*o*x**3 - 344*f*o*x + 115*f*x**2 + 321*f*x - o*x**3 - 2*o*x wrt x.\nAnswer: 18474*f*o*x + 230*f - 6*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*c = -12807459 + 12807214 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388727661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**7\/630 - 61*t**6\/90 + 7319*t**5\/90 + 2501*t**4\/6 + 1681*t**3\/2 - 134*t**2 + t + 1. Suppose s(a) = 0. Calculate a.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59226 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 70782114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217123461451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*k**3 - 2633*k**2 + 14120*k - 900.\nAnswer: -(k - 5)*(k + 90)*(31*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 * 12.8\nAnswer: 58.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*j + 17, -97*j + 98*j + 7 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 31*u**2 + 49*u - 145. What are the prime factors of c(31)?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-451)\/11 + 98 - 98.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 549964*b**2*l - 5800*b*l - 974*b wrt b?\nAnswer: -6*b - 1099928*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3 + 10*o**2 + 5*o - 10 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7548 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - b, s + 2*b - 2 = 2*s. What is the tens digit of s*(-9)\/6 - (-1221)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 56*s**2 - 41207*s - 6621. Give h(736).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wncr when four letters picked without replacement from {n: 5, r: 1, c: 1, u: 2, w: 6, i: 1}?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m + 107. Determine i(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -56*u**3\/5 + 945646*u**2\/3 - 1069372*u\/15 - 562880\/3 = 0.\nAnswer: -2\/3, 25\/28, 28144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 34*l - 259. Determine f(-42).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**3 - s + 3*s**2 + 5*s + 4*s**5 - 3*s**2 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3133\/8 - -394. Is 3 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -6 - (2 - -2). Put w, -2\/7, 1 in decreasing order.\nAnswer: 1, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 262425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5376 times 50\nAnswer: 26.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) - (0 + sqrt(20) + 2 + sqrt(20))**2.\nAnswer: -84 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 3*t**4 + 0*t**4 + (-2*t**3 + 0*t**3 + 5*t**3)*(t - 4 + 4) - 4*t**2 + 5*t**2 + t**2 + 2*t**4.\nAnswer: 7*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 39\/(-15) - (-783)\/(-20). Let t = r + 38. Which is the nearest to t? (a) -2\/7 (b) 1\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 8*q - 28. Give x(8).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6))\/((-2)\/(-1)). Suppose 0*i - 12 = 2*i. Let c be (-1)\/(-3) + (-2)\/i. What is the closest to s in 3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6830 and -13\/510.\nAnswer: 348330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from dxmiyidqddyxdxxdiqx?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.4995009 + 2.\nAnswer: 10.4995009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmcmqooceemceooq. Give prob of sequence qqq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 118, 134, 138, 124, 86?\n\"Answer: -g**3 + 23*g + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2180 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = l - 2, 4*a = 4. What are the prime factors of 2\/l + (6318\/4 - -2)?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4234.225 hours?\nAnswer: 15243210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809360 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + 0.09. Let j = 1.94 + p. Let v = 94 - 93.6. What is the closest to 0 in v, j, -4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451, -2858, -4265, -5672?\nAnswer: -7079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(1331)*1 + ((sqrt(1331) + 5)*6 + sqrt(1331) + sqrt(1331))**2) + -4 + -3.\nAnswer: 26455*sqrt(11) + 430428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3703577?\nAnswer: 151, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 4. Let i be ((-38)\/57)\/((-1)\/(-39)). Let d(q) = 2*q**2 + 49*q - 68. What is the lowest common multiple of d(i) and m(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 551258000 to the nearest one million.\nAnswer: 551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20449818?\nAnswer: 2, 3, 167, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 - 22\/(-6). Suppose o*y - 9 - 11 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59931 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e (base 16) in base 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -12, 41 in ascending order.\nAnswer: -12, 1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4805*b*j**3*o**2*t - 3*b*j**3*o*t - 4341*b*j + 98*b*o - 495*j**3*o**2*t wrt o?\nAnswer: 9610*b*j**3*t - 990*j**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d + 26 = 4*u, 0 = 3*u - 2*d - 23. Suppose -u*x + 210 = -0*x. Suppose 5 + x = 7*v. Solve -v*r = 4*j + 29, r + 4*j + 6 = 3*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.22, -0.5, -2\/9, 10\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*k = -39 + 9, 3*g - 32 = -5*k. Let b be 2\/(-3)*g\/(-2). Suppose 0 = -2*d - 3*j - 5 + b, j = -4*d + 6. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 89342*t + 2.\nAnswer: 89342*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -31\/3*h**3 - 27 + 0*h**2 - 33*h. What is the derivative of g(m) wrt m?\nAnswer: -62*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18488530 divided by 1848853\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-99)\/45 + (1 - 0). Which is smaller: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*j = 84, d + 4*j - 113 = -61. Put d, -60, 2\/5 in increasing order.\nAnswer: -60, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23324.24 to the nearest ten.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -3*v**5\/20 - 9*v**4\/4 - 12*v**3 - 30*v**2 - 4*v - 65. Suppose a(i) = 0. Calculate i.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/7 (c) -385 (d) -0.4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490212538.\nAnswer: 2, 2731, 638999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 664 and 20?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -42. Suppose -5*t + x = -5. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 48537.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.3658 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1537\/83709 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23694\/90 - (-2)\/6. Let n = -5289\/20 + s. Let p = 31\/321 + 34369\/6420. Find the common denominator of n and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**5 - 11*d**4 - 24*d**3 + 48*d**2 + 23*d - 37. Let s(f) = -f**5 - f**3 + f**2 - f - 1. Let c(z) = -s(z) + v(z). Factor c(q).\nAnswer: -(q - 1)**2*(q + 1)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.12, 254, 12.4, -0.6, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 14*m**3 + 5790*m**2 - 2492*m - 3312 = 0.\nAnswer: -414, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11636, -46523, -104668, -186071, -290732, -418651?\n\"Answer: -11629*i**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2)\/(-18) - -50*130\/234. Solve 23*f - y*f - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -32. Suppose -2*p + 4 = -2*h, -3*p - h + r + 6 = 0. Suppose -i - 100 = -p*i. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6338 + 6368. Calculate the remainder when 2126 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1\/(d\/d**(2\/15)))\/(d**(-5)*d**(-2\/3)))**(-2\/43))**4 assuming d is positive.\nAnswer: d**(-232\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 720a3 (base 12) to base 6\nAnswer: 3104323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 19. What is f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497141335.\nAnswer: 5, 9091, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y - 352 = 0. Let z be 3*(-1)\/(-3)*0. Suppose -2*f + 9 + 13 = z. What is the highest common factor of f and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 38 = 2*u - 63, -2*u - 15 = 3*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2792*o**4 + 41194*o**3 + 730*o**2 - 640822*o wrt o.\nAnswer: -67008*o + 247164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 11:45 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojvodosjjsoaddv. What is prob of sequence jaj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = y - 2*y - 1110 + 1119, 15*y - 78 = 3*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*n + 46, -3*n - 4*m + 20 = m. Let y(l) = 0*l + 0 + 0*l + l - 6. Let g be y(6). Solve g = 5*b + n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -5*r - w, -r - 2*w = 5. Let t = 29 + -33. Let l = -145 - -129. Put l, r, 0, t in increasing order.\nAnswer: l, t, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -4*x**3\/3 - 10*x. Let f(q) = -3*q**2. Determine c(f(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 14. Let a be z(-9). Suppose -a = 3*y - 19. Solve -y*x = -8*x + b + 14, 3*b = -5*x + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3905 + 0.6095. Let n = -0.183 + 0.14. Which is the third smallest value? (a) -1\/2 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267.9 + -268. Sort 5, -0.01, -5, h.\nAnswer: -5, h, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (74 + -2)*(-99)\/(-12). Let x be 9894\/m*(-3)\/(-2). Let k = -157\/6 + x. What is the common denominator of -30\/11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/3097140 and -163\/12388560?\nAnswer: 12388560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 2:50 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 2 + f - 2 - 5. Let m be u(-5). Is ((-102)\/m)\/((-1)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -174, -4, 702 in ascending order.\nAnswer: -174, -4, 1, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 17*j - 2. Let d be w(0). Let h(c) = -c**3 + 7*c**2 - c + 7. Let a be h(7). Suppose 0 = 2*i - a*i - 8. Put -1, d, i in decreasing order.\nAnswer: i, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (11 + -1)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 17*h + 1. Let a(d) = 5*d**2 - 1514*d + 3. What is -a(r) + 3*l(r)?\nAnswer: -2*r**2 + 1565*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2065 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22718 <= -22878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 6*d + 4*d**3 - 7*d + d**3 + 2*d**3 - 4*d**3 + (-3*d + 2*d**3 + 3*d)*(2 - 3 + 3) + 4*d**2 - 2*d**3 - 4*d**2.\nAnswer: 5*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6409.149 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*z - 556*z - 37224 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddblbnlnndldbnl. What is prob of picking 1 l and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.516471 milliseconds in days?\nAnswer: 0.0000029573665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 12*r**2 + 10*r - 101. Let c be y(-10). Sort 14, -5, -4, c in decreasing order.\nAnswer: 14, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6485*a - 2160. What are the prime factors of d(-7)?\nAnswer: 5, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**2 - 2*n + 13. Let t be h(6). Let w be (1 - (-6 - 3))\/2. Calculate the highest common factor of w and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82589297?\nAnswer: 7, 23, 512977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -95*g**2 - 7*g + 10. Let h be f(8). Let n = -2485 - h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74.9999994 + -75. Round b to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18149 is divided by 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = -4*m, m - 17 = -4*j - 0*m. Let z(s) = -69*s - 4 + 35*s + 36*s. Calculate the remainder when z(j) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + n - 1. Let s(j) = 3*j**4 + 6*j**2 - 9. Let b(l) = 6*p(l) - s(l). Suppose b(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -207137 - 2*h + 207137. Let g(s) = 7*s**2 - 4. Calculate y(g(b)).\nAnswer: -14*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -650.7 + 717. Let l = q - 66. Are l and -2.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Let s = -5623 - -5622.9. Sort -4, u, s in descending order.\nAnswer: u, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64480 and 3224?\nAnswer: 64480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 85. Suppose c - h = -3*h + m, 5*h = -3*c + 73. Suppose n - u = c, 2*n - u - 3*u = 40. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38022*a*z**2 + 4*a*z - 4216811*a wrt z.\nAnswer: -76044*a*z + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 9*j - 108. Let r(c) = -3*c**3 - 17*c**2 - 4*c - 7. Is r(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81762005989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**3 + 217*k**3 - 107*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2057))**2*5 + sqrt(2057) - 5*3*sqrt(2057)) + -1.\nAnswer: 66*sqrt(17) + 10304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 373*q**4\/24 - 49*q**3 + 275*q**2. Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 33*d - 21*d + d)*((1 - 2*d - 1)*(0*d**3 + 3*d**3 - d**3) - 32*d**2 + 32*d**2 - 111*d**4).\nAnswer: 5980*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220.8 - 288. Let b = -68 - y. Which is smaller: 0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/11*1\/(-5)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54131 from 4342923827.\nAnswer: 4342869696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 74*t - 68. Let o be u(-36). Suppose -4*l - 3*g + 1143 = 0, o*g + 876 = 5*l - 2*l. Is 36 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1735569366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6539.66863806 - 6.\nAnswer: 6533.66863806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74886 and 4969221.\nAnswer: 5349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0024 + -0.0023748. Round d to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-206 - 3479 - 1113 - 2061 - 290)*(-1 + 1 + 2*s) as y*s + i and give y.\nAnswer: -14298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 4 (c) -0.5 (d) 827.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-18))\/(46\/(-621) - (-80)\/(-135))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1024 + 0.1024. Let x = 0.42 - 0.02. Sort -6, -1\/6, x, t in decreasing order.\nAnswer: x, -1\/6, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 0*t)*(5 + t - 5)*(-5*t + 4*t - 4*t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211693331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 4*b + 2. Let z(s) = s**2 + s + 1. What is -2*g(p) + 6*z(p)?\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5, -1.05, 2\/13, -5, 9\/2 in descending order.\nAnswer: 5, 9\/2, 3\/5, 2\/13, -1.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 20*x + 10. What is the tens digit of h(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23178, -21152, -17774, -13044, -6962, 472, 9258?\nAnswer: 19396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -112. Is -5 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 223*w + 162*w + 133*w)*(-2 - 1 + 5).\nAnswer: 144*w + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -6*d**2\/5 - 3*d\/5 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -2 (c) 2\/1277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2146 and 706662778?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 5. Let w be (-96)\/(-18) - (-2)\/(-6). Let j be b(w). Suppose -7 = -2*z + j. Let x(f) = -f + 3. What is x(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 40747*q**2 + 32*q + 1. Let f(x) = 2*x. What is f(p(j))?\nAnswer: 81494*j**2 + 64*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -6. Let p = 19 - o. Let m = -0.2 + 0. Sort p, 0.3, m.\nAnswer: m, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 + 5*d**4 - 7777*d**3 + 553882*d**2 wrt d.\nAnswer: -60*d**2 + 120*d - 46662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46619759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1818 - 143. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Is i > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 37. Let u = y - -84. Sort u, 12, -2 in increasing order.\nAnswer: -2, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/((6\/88)\/(-3)). Let c be -1 + (-11)\/(n\/24). Suppose -3*v + 4 = -c. What is the highest common factor of 33 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1177517\/5 - -234618. Let l = g + 887. Let 0 - 8\/5*i + l*i**3 - 4\/5*i**4 + 4\/5*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*(14 + (-26478)\/1890) - (62\/10 + -6).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -404.\nAnswer: 7272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-62*51\/(-34))\/(6\/4) is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37962, -75934, -113906, -151878, -189850, -227822?\n\"Answer: -37972*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 642, 1165?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5\/4 + 475*m**4 + 200973*m**3\/2 + 7746814*m**2 + 481540995*m\/4 + 39271375 = 0.\nAnswer: -275, -169, -20, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.1, -2\/5, 8.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 370*v + 1687 - 1687 in the form w*v + o and give w.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plnp when four letters picked without replacement from {p: 2, n: 2, l: 3, b: 6}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/(-6))\/((-780)\/(-585))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*t + 6 = 0, -5*t = -5*b - 0*t + 30. Suppose 0 = q - 4, 4*q - 57 - 45 = -b*k. What is the remainder when k is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llpipillplllpl. What is prob of picking 2 l and 1 i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274536087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -8. Suppose w + 5 = -s, -5*w - g = -5*s + 6. Is w + -1 + 374*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 16*z + 90 = 0. Are 10 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 126*o - 457. Calculate the remainder when z(4) is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-12))\/((-5)\/4). Suppose 36 = 2*f + 2*f. Let s be 8\/f*2\/4. What is the biggest value in s, 0.4, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = 2. Calculate the remainder when i is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060110 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 19. Let d be u(8). Let a(m) = m**3 + 11*m**2 - 17*m - 16. Does 32 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/45*(-3)\/7*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (762\/33 + (33 - 44)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113059039 is divided by 863?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04477676 to four decimal places.\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-958)\/80 - 2\/5 and -69\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 188\/(-28) - (-2 - (-32)\/14). What is the remainder when 42 is divided by -4*j\/(84\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + -145. Let d = -122 - -31. Let z = d - x. What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2288 and -210.45.\nAnswer: -481509.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-15)*((-44)\/(-33))\/2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405.8951 minutes in hours?\nAnswer: 23.431585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45819.\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 17 - 5. Find the second derivative of 0*z**5 - z - 3*z**5 + r*z**5 + 3*z**5 wrt z.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*v - 1032*v + 523*v = -792 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4669396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2348710 divided by 1174355\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**3 + 3*g**2 + 11*g + 14. Let m(p) = 4*p**3 - p**2 - 4*p - 5. Let f(q) = -8*m(q) - 3*u(q). What is the units digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/20*(-2)\/(-8). Let p = -1.86 + -0.14. Which is the smallest value? (a) -5 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k + 0*k - k)*(k - 2*k - k) - 2*k**2 + 2*k**2 - k**2)*(37 + 35 - 18).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222132295*y**3 + 34841706*y**2 + 2?\nAnswer: 1332793770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4785 = -2*u - 3*u + 5*n, 0 = 5*u + 2*n - 4806. Let d = -640 + u. Calculate the highest common factor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -54. Let z = 8 + u. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, j: 5, m: 1, k: 5}. What is prob of sequence me?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 3\/2, 2\/7, -1.81?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, c: 11}. Give prob of sequence zzzz.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400097 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/10)\/3)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18658*b = 18670*b - 60 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 25. Suppose 28*d - x*d - 168 = 0. Suppose -18 = -3*t - 5*w, -4*t + 7*w = 3*w - d. What is the greatest common factor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1288059, 2576115, 3864171, 5152227?\nAnswer: 6440283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407972493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 13*v + 47. Give r(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/3 - 18580*a\/3 + 86304100\/3 = 0. Calculate a.\nAnswer: 9290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5253*v - 5250*v - 60 = -9*i, -5*i + v + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {x: 1, u: 6, t: 3, r: 2, h: 5, f: 2}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970598933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6221390?\nAnswer: 2, 5, 7, 31, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 978, 1457, 1936, 2415?\nAnswer: 2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3709796138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-2)\/9)\/(20\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*((sqrt(567) - -6*(sqrt(567)*-2 + sqrt(567))) + -1 + sqrt(567)*2 + 0))**2.\nAnswer: 3456*sqrt(7) + 326656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/18 + -1)*-9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.85664 rounded to 0 decimal places?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -2. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -95. Solve -a*y + 6*y - 4*p + 36 = 0, -5*y + p - 25 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:33 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -51635*x + 3. Let r be o(-4). Suppose -5*z = 4806933 - r. Let f = -199922 + z. Round f to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -42. Let y(q) = 3*q**2 - 5*q - 72. Let i(p) = 20*p**2 - 32*p - 468. Let o(m) = v*i(m) - 32*y(m). Factor o(j).\nAnswer: 4*(j - 3)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1969717 - 100642. Let v = -720394 - -1490753. Let s = b + v. Round s to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*h - 3 = 0, -11*t - 2 = -10*t - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 183653*s**3 + 6*s**2 - 80*s - 24166.\nAnswer: 1101918*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prhhprhhhpprh. What is prob of picking 2 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2734 - -2727 - (-1 + -6 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u + 1. Let o be y(3). Suppose 0 = -o*h + 16 + 28. Calculate the lowest common multiple of h and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 3*q + 1 - 5*q + 1 - 7 in the form z*q + u and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - o - 1. Let m(h) = -h + 7*h**2 + 9*h**2 - 4*h**3 + 7*h**2 + 9*h**2 - 1 - 28*h**2. Give m(j) - x(j).\nAnswer: -4*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*g + 82, g - 2*t + 11 = 39. Suppose -2*f = -5*f - 3*w + 54, 5*f - 5*w = 70. What is the highest common divisor of g and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 22, -5 in descending order.\nAnswer: 22, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -10 - (280\/(-42) + 15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1*3) + 0. Suppose -u = 2 - 3. Let p = 74 + -74. Sort u, p, k in increasing order.\nAnswer: p, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 15 + 15 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/1)\/(-1)*1. Let r = 3 - -6. Let g be (0 + r\/5)*5. Solve g = -2*x + 1, f*x + 20 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/3 + 94889*o**3\/3 - 1043876*o**2\/3 + 759200*o = 0. Calculate o.\nAnswer: -94900, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 233, 353, 473, 593, 713?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9873 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -742582 (base 9) in base 4?\nAnswer: -1223302310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60255565 a multiple of 3673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**13*k*k)\/k**(2\/59) assuming k is positive.\nAnswer: k**(942\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -280272*0.23\nAnswer: -64462.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6) + sqrt(216)*-1))**2 + (2*sqrt(2420) - sqrt(20))\/sqrt(4).\nAnswer: 1\/5 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*a - 323*a + 18 = 0. Sort -13, a, -5 in increasing order.\nAnswer: -13, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21191290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = -3. What is the third smallest value in -3, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 14*q**2 + 2\/3*q.\nAnswer: -2*q*(21*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 176\/7*f - 3872\/7 - 2\/7*f**2 = 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(304) - sqrt(304)*2) + 3 - sqrt(304)) + -4 + (0 + sqrt(304) + -2 + sqrt(304))*3)*-6)**2*-5.\nAnswer: -884340 + 40320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {g: 1, v: 1, l: 13, b: 2}?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 23.7 (b) 3 (c) 2 (d) -22 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 8:20 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.63932l to millilitres.\nAnswer: 21639.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (-16 + 37) - (-2 - (-2 - 1))) + -82?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71022751 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130048887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 13*k**2 - 39*k - 6. Suppose 96 = 4*r + 64. Let q be h(r). Solve 0 = -2*j + 2*c + 8, -q*j + 3*c = 7*c + 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3091.717 + -32.817. Round y to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 - 7*m - 2. Let l(r) = -3*r**3 + 3*r**2 - 14*r - 4. Let z(v) = 2*l(v) - 5*y(v). Let s be (-8)\/12 + (-26)\/6. Give z(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 768.3\nAnswer: -6146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.1827205 seconds to weeks.\nAnswer: 0.00022682328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2304 - -0.3.\nAnswer: -0.9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 4689\/14728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfxi when four letters picked without replacement from dxflssi.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**4 + 14*y - 122.\nAnswer: 8*y**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (3 + -7 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 13 - 20)*(-30*g - 24*g + 103*g) + 2*g + 3*g - 4*g as t*g + n and give t.\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 20 = 0. Find the third derivative of 7*s**2 - 3*s**2 + s**r + s**4 - s**2 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267 + 465. Let r = j - -37. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15894452557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 31 - 17 = 0. Suppose -j + 2 = 2*t. Are t and -7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybyybby. What is prob of picking 3 y and 1 b?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/38)\/((d*(d\/d**(-1\/18)*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-185\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/9)*(v*v\/v**(1\/8))\/v)\/((v**(-1)*v)\/v)**(-8\/9))**(-4\/19))**(-4\/17) assuming v is positive.\nAnswer: v**(10\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 2, -3, -16, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*p + 75*p - 6779 - 27*p + (3 - 3 + 3)*(p + 0*p + p).\nAnswer: 8*p - 6779","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 3*v - 1540 = 13*d, -d - v = -392. Let z(i) = -i**3 - 46*i**2 - 46*i - 15. Calculate the remainder when d is divided by z(-45).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 - 104*i - 22. Calculate v(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3347*s**3 - 917*s**2 - 7*s + 4. Let x(o) = 3346*o**3 + 913*o**2 + 7*o - 6. Let h(m) = -3*u(m) - 2*x(m). Find the third derivative of h(d) wrt d.\nAnswer: 20094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -n + 31, -3*n - 4*w + 46 = -52. Suppose -n*o = -1337 - 17253. What are the prime factors of o?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2989.335km to millimeters.\nAnswer: 2989335000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/3, 3\/5, -2, -116.\nAnswer: -116, -2, -2\/3, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -14. Suppose -5*c = 12 + z. Is c\/(-6)*13335\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290140614.\nAnswer: 2, 3, 79, 211, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*26.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a\/a**(-1))\/a)*a)**(-45)*a**(1\/7)\/a*a*a**(1\/5) assuming a is positive.\nAnswer: a**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7*w - 9*w = 64, 0 = 3*d + 2*w - 66. What is the closest to -1\/2 in -1\/3, 28, 0, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 29*d + 72. What is the nearest to 0 in -1\/3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 80*n = -73*n - 66, 0 = 102*k - n + 418 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 1 - -15) + -17 - -7 - 18\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 494, 3991, 13494, 32009, 62542, 108099, 171686?\n\"Answer: 501*a**3 - 3*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -7*k**4\/24 - 4522*k**2. Let s(o) = o**2 + 331*o. Give y(s(q)).\nAnswer: -7*q**2 - 2317*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z - 46*z = 0, 3*k + 0*z + 2*z + 9 = 0. Let m(a) = 4*a**3 - 2*a**2 + 7. Let t(b) = 7*b**3 - 4*b**2 + 13. Give k*t(n) + 5*m(n).\nAnswer: -n**3 + 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 2. Let p be 9\/7 - (j + 0). Let h = -3 + 6. Which is the closest to -2? (a) -4 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*c = 260*c + 3*m + 2101, c - 4*m = 1068. What is the remainder when 2084 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14975915?\nAnswer: 5, 251, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/8*2\/3. Let n(o) = 3*o**2 - 4*o - 4. Let d be n(a). Calculate the highest common divisor of d and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 27. Calculate r(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/13 + -17\/65. Let f = -2.35 + 97.35. Let i = f - 94. Which is greater: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 69444480.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4867 - 5068. Which is the second biggest value? (a) l (b) -6 (c) -0.2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 0.0461, 0.14 in descending order.\nAnswer: 9, 4, 0.14, 0.0461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:43 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 15. Let r(z) = z**2 - 11*z + 23. Let u be r(9). Solve 3 + a = b, -20 = -5*w - u*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106980 and 2985?\nAnswer: 21289020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 + 14\/70. Suppose x*r - 15*r = -1620. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000613974644 rounded to 6 dps?\nAnswer: 0.000614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79.88 and -3.7.\nAnswer: 76.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 26*u - 14*u + 2. Is o(1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0 = -4*f + 7, 8 = -f + 4*u. Suppose 3*a = f*a - 4*w - 66, -2*w + 210 = 4*a. Calculate the remainder when 319 is divided by a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -1 + -5) - sqrt(13) - (sqrt(325) + 1))**2.\nAnswer: -60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174559691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-11) + 19 - 20. Let t(d) = -d**3 - 3*d**2 - d - 1. Suppose 0*y = 2*y + 8. Let j be t(y). Solve 3*k + 12 = -i*n - 11, 3*k + n + j = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25387?\nAnswer: 53, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -122*m**2 + 3*m - 13. Let a(k) = -k**2 - k + 3. Give -3*a(h) - q(h).\nAnswer: 125*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(96 - 87 - (-147)\/(-56)*2\/3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*k = -174*k - 20. Is k < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + d = 3*d - 64, 5*r + 5*d = 80. Let s = r + 5. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h - 8 + 9*h - 14*h. Let v(t) = -3*t + 7. Let i(n) = 6*d(n) + 7*v(n). Determine i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 2, h: 1}. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 9*a + 12. Let o be w(10). Let l be (-294)\/(-77) + (-2)\/(-11). Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442739 is divided by 22135.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and -19\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 + 1. Let d be h(-1). Let j = -4 - d. Let a(c) = c**2 - 4*c + 1. Let w be a(5). Solve 2 = 4*s + 5*p - j, -w = -s - 4*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645922471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**6 + 20906*n**4 - 681562*n**2?\nAnswer: 1080*n**3 + 501744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 3*l + 2*l + (-3 + 4 - 3)*(4*l + l - 4*l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*y**3 + 28*h**3*y + 17*h**2*y + 12*y**3 wrt h.\nAnswer: 84*y**3 + 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/8 - 303*m**2\/8 - 501*m\/2 - 705\/2.\nAnswer: -3*(m + 2)*(m + 5)*(m + 94)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -2, -7, 2117 in ascending order.\nAnswer: -7, -4, -2, 8, 2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 7*6 - 3. Calculate the highest common divisor of q and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/24601 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 2. Let s be r(7). What is the derivative of -s*u + 2*u + 6*u - 34*u**3 - 84 wrt u?\nAnswer: -102*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 1. Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 10 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -827.15 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.7 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - 2 - 4) + (-1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f. Let s(r) = 184087*r**2 - 15. Give s(h(a)).\nAnswer: 1656783*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1176, 4592, 10254, 18162, 28316?\n\"Answer: 1123*l**2 + 47*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 + 7 + -4 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/3)\/o)**(7\/5)\/(o**(-1\/4))**(-2\/9)*(o**1\/o)**(-11)\/((o\/o**2)\/o)**(-22) assuming o is positive.\nAnswer: o**(-3797\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 116*t - 111*t - 105444, -3*t = 3*z - 63264. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 2 h when four letters picked without replacement from {t: 10, x: 1, b: 1, h: 2}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.053 + -4.347. Let p = -4 - w. Let d = -3 - -16\/5. Sort 2, p, d.\nAnswer: d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323742.2 + 1.217741\nAnswer: -323740.982259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3 (b) -0.5 (c) -4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/(((v\/(v**1*v*v)*v)\/v*v)\/v)))\/v)*v\/(v\/((v**9*v)\/v))*v)\/(v**(4\/3)*v*v\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*o + 10, 3*o + 20 = -o + s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-36)\/63)\/(-4))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8414 - 151507\/18. Find the common denominator of (-28)\/18 - 4\/6 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 158256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44940742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 3, w: 3, z: 5, x: 8}. Give prob of picking 1 f, 1 y, and 1 z.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*n**2 - 3*d**3 - 30*d**2*n**3 - 11*d*n - d wrt n?\nAnswer: -4*d**3 - 180*d**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-70*(-84)\/(-53760))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5. Let m(a) = 3*a - 1649. Calculate -m(v) + 2*w(v).\nAnswer: -3*v + 1639","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 843318 and 3416922?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*c**4*p**2 + c**3 + c*p**2 + c*p + 16*c + 16 wrt c.\nAnswer: 396*c**2*p**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5 and (-6)\/((-40)\/6*234\/(-435)).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 86, 4, -6\/13, 2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y**4 + 0*y**3 - 31\/5*y**5 + y**2 - 34 - 30*y. Find the second derivative of d(o) wrt o.\nAnswer: -372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*u**5 - 10*u**4 + 5*u + 169 wrt u?\nAnswer: 4940*u**3 - 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62410042?\nAnswer: 2, 727, 42923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011546112 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as 17351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -78*b + 8. What is f(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 13. What is f rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140.39 - -139. Let x = -0.61 + l. Let g = -2.7 + 2.9. Which is the closest to x? (a) g (b) 1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**4. Let l(q) = 4*q**4 - 3*q**3 - 39. Let m(f) = 2*a(f) - l(f). Differentiate m(x) with respect to x.\nAnswer: -32*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v**5\/6 - 6517*v**4\/6 + 5557*v**3\/3 + 12061*v**2\/3 - 11101*v\/6 - 17605\/6 = 0. Calculate v.\nAnswer: -503, -1, 1, 35\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/13, -1, 34 in increasing order.\nAnswer: -1, -2\/13, 0.5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -104*w**3 - 2*w**2 - 3*w. What is the hundreds digit of o(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*w = -217*w + 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 35*s + 1 = 0. Let a be -3 - (s + (-8)\/(-4)). Is -36\/7 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86 and (-41)\/(-2) - (8 - (-120)\/(-16))?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17182378?\nAnswer: 2, 1019, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 1. Let z(v) = 9*v**2 - 5. Let l(p) = 10*p**2 + p - 6. Let y(o) = -2*l(o) + 3*z(o). Calculate -5*a(n) - y(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/((-15)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u - 4. Let c be t(-6). Suppose -3*x + c = 203. Let i = x + 81. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 90 = y. Suppose 0 = 5*b - 102 - y. Calculate the remainder when 636\/14 - 224\/(-392) is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 279b73da?\nAnswer: -279b73d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 4, a: 1}. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + 2*h**4\/3 + 3*h**3\/2 + h**2\/2 + 36*h. Let b be j(9). Solve 2 = p - b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.099353088 - -52696\nAnswer: 52695.900646912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43239 or 43233?\nAnswer: 43233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 2*f**2 - 2*f**2 + (4*f**2 + 0*f**2 - 2*f**2)*(-5 + 3 + 0) - 2*f**2 - 3*f**2 + f**2 + 313*f**2 - 68*f**2 - 175*f**2.\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 1, o: 2, w: 1}. What is prob of picking 1 m, 1 c, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1237) + 36\/(-6). Suppose 16*l - t = 6900. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + y + 4*y + (1 + 1 - 1)*(-y + 5*y - y) + 5777 + 122*y - 5777.\nAnswer: 128*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -205356 less than or equal to -410709\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 3*c - 3. Let i(t) = 7*t**2 + 4*t - 4. Suppose -12 = z + 2*z. Calculate z*o(m) + 3*i(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 185. Is -61\/5 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28\/17 (b) -34 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7694 times -9320?\nAnswer: -71708080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6 + o**2 - 5*o - 2*o**2 + 2*o**2. Let g be y(4). Solve 2*d = d + 2, 10 = 2*b + g*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63582 is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4.6. Let a = 0.001 + -0.391. Let v = -0.39 - a. Sort v, -2\/23, x.\nAnswer: x, -2\/23, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 - 2*a**2 + 4*a + 2. What is k(-3)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.3. Suppose u - 1 = 2*h, 0 = 4*h + 3*u + 18 - 1. Let q = 23 + -28. What is the biggest value in q, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230325 + -161570. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256018.\nAnswer: 2, 151, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55487*v**3 + 12*v**2 - 12*v**2 + 2*v - 55436*v**3.\nAnswer: 51*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)*-3 - (-15 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:56 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7 (b) 134 (c) 0.0422 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 56 = -j - 68, 5*o - 16 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i**2 + 312*i + 314. Give j(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.23 (c) -0.05 (d) 15.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -8*b - 34. What is the lowest common multiple of b and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-3)*(-24)\/108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876010.\nAnswer: 2, 5, 17, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-63))\/(395\/790). Factor -16\/7*l + 0 + x*l**2.\nAnswer: 4*l*(l - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 3805116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(3*6\/9))\/((-416)\/(-192))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.683 + 0.4\nAnswer: -1.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 169.244397 seconds?\nAnswer: 0.0002798353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) -2501 (c) -2\/17 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*a + 3. Let d = 58 - -74. Suppose 3*n - d = -a*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 20 = 0. Let y = -24 - -26. What is the biggest value in y, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d - 6. Let g(n) = 7*n + 4. Let p be 8\/3*2\/(24\/18). Suppose p = -4*j - 16. Calculate j*y(w) - 7*g(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1995560000 to the nearest one million.\nAnswer: -1996000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 + 2*v + 1. Suppose 2*p - x = 0, p - 2*p - 5*x = -11. Suppose -p = d, d + 5 = -3*y - d. Give u(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.4 - 10. Let f = o + 3.6. Which is smaller: 2\/39 or f?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 76*c**2 + 6*c - 11. Is m(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 28, -62*g - 4*y - 2996 = -66*g. What is the highest common divisor of 168 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 3.942?\nAnswer: -0.31536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 - -101. Suppose -5*j = -5*w - 1840, -w = -5*j + 2016 - 176. Suppose -8 = 2*z, -z + 100 = -4*b + j. What is the highest common divisor of b and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 2)*(-1)\/(-2). Let o = 22 - 20. Suppose -10 = -2*k - o*z + 2, 0 = 4*k + 3*z - 22. Solve 4*g = 3*y + 3, r = -3*g + 3*y + k + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 58.09?\nAnswer: -11.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 10) in base 12?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(4 - 128\/24). Suppose 0 = k*t + 4*z - 44, 2*t - 3*z + 15 - 22 = 0. Solve -r - 20 = -5*c, -t = r - c - c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -132.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -480?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.52 - -0.48. Let j = -0.1 + 0.1. Which is the third biggest value? (a) q (b) j (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1 = -s, 13*v - 26 = 11*v - 5*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 281070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(12))**2 - sqrt(3)) + 4 + sqrt(216)\/sqrt(8) + 2.\nAnswer: 15*sqrt(3) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**5\/3 - 2410*w**4\/3 - 116500*w**3 - 13480790*w**2\/3 - 13133695*w\/3 = 0.\nAnswer: -211, -59, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wwwwwiiwwiw?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and -99\/3309638.\nAnswer: 9928914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 0. Suppose 2*p - 4*p = -2*o - 2, -4*o - 2*p + 2 = t. Suppose -n = -o*n - 2. Are n and 2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:14 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 3*a + 0*a + (-3 - 7*a + 3*a + 4)*(-3 + 0 + 2) - 55*a - 2 + 54*a - 7.\nAnswer: 2*a - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 75. Suppose t*n - 3*n + 4*z - 6 = 0, 0 = 3*n + 3*z - 15. Suppose -3*m - 4*r = -16, 3*m - n*r = -5*r + 12. Is m less than or equal to 12\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.5824um in kilometers?\nAnswer: 0.0000003685824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s. Let w be o(-2). Let r be (-303)\/(-12) - 6\/24. Let x = r - 23. Solve -4*b + 11 + 13 = -x*n, 2*b = 3*n + w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725*i**2 - 502*i**4 + 871*i**4 - 978*i**2 - 34*i**4 + 1805*i**4 wrt i?\nAnswer: 51360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-9))\/(-4)*(-9)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from jjlzlylzzzlzlljjjzj?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86064, -85297, -84534, -83775, -83020, -82269?\nAnswer: -81522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebbjeeebebjbbebeeb. What is prob of picking 1 j and 3 b?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c - 24. Let n be d(0). Let t be (-4)\/(56\/1098) + n\/(-56). Let k = 82 + t. Solve -4*u - k = w, 0*w + 5*u = -5*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from {k: 2, p: 1, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*b - 4*j, -56 = 10*b - 12*b - 14*j. Suppose 2*z - c = -3 - 3, 0 = -5*c - 20. Sort 4, b, z in decreasing order.\nAnswer: 4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.08, -5, 3, 0.01, 1\/4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 26*y + 195. What is the remainder when s(14) is divided by 146?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 17\/1708, -1\/8, -5, 4\/3 in decreasing order.\nAnswer: 4\/3, 17\/1708, -1\/8, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 605093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1410141 - 4?\nAnswer: 1410132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*k - 4)*(-2 + 2 + 2)*(0 + 4*k + 0).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from {i: 7, w: 4, y: 7}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13797 = 3*u, 76*f - 80*f + 3*u = -18394. List the prime factors of f.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - t**4 - 2*t**3 - 2 + 4*t + 2 - 7 to the form r*t**4 + k + o*t**2 + j*t**3 + a*t and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o - 1. Let c be b(-1). Let u = 12 + c. Suppose 2*h - 3*h = -u. Solve d = h*l - 28, -4*l + 2*l = 4*d + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 40*h**2 + 8*h**2)*(-5 + 5 - 1)*(2*h - 4*h + 0*h).\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29945 - 5954. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/9 (b) -1 (c) -24073\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*x - 5*y, 9*y + 1 = 4*x + 4*y. Suppose -9 - 7 = -x*a. Suppose 5*t = 11 + a. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1 + 2*-3). Let f be j*(-3)\/(-6) - -9. Suppose -2*s = -32 - f. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 34177.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/7 + 20920*k\/7 - 54705800\/7 = 0. Calculate k.\nAnswer: 5230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -48 - (-125 + 150).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 5*a + 3*u - 253, 139 = 3*a + 4*u. Let m(p) = p**3 + 4*p**2 - 8*p - 5. What is the remainder when a is divided by m(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -12)*(-1)\/4*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttdwwdww. What is prob of sequence www?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2666924 and 2666924?\nAnswer: 2666924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 269018 * -188\nAnswer: -50575384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24060066, 24060067, 24060068?\nAnswer: 24060069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.05. Let d = f - -0.19. Let m = d - 0.09. Which is the third biggest value? (a) 3 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 3800 (b) 3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493968856 to the power of 1\/3, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3528231176 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at least as big as 1.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 8*v**2)*(313*v**2 - 628*v**2 + 308*v**2 - 18) to the form t*v**3 + q*v**4 + d + w*v + n*v**2 and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -55*((-6)\/(-2) + -4) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 25. Suppose 5*i + 2*t + t = 375, -i + 4*t = -52. Calculate the greatest common divisor of m and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 12 = 9. Let a = v - -24. Suppose -20 = -a*x - 2*x. Solve 0*j - 4*t + 3 = j, -4*t = x*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 40.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 15. Suppose -2*v + 27 = -5*u, 5*v + u - 21 = m. Suppose 0 = t - 4*i - 12, -5*t = -4*i + v - 2. Put -3, 5, 0, t in descending order.\nAnswer: 5, 0, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 6. Let d be b(6). Suppose d*c + 4 = -c. What are the prime factors of ((-36)\/c - 0) + 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from telleztgllleetzllzl. Give prob of sequence zt.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from pazqaqazyzdy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4103\/15201 + 6\/563. What is the second smallest value in -10, q, 1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77447538*m**5 + 20307693*m**2 wrt m.\nAnswer: 4646852280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1701))\/sqrt(7) + (sqrt(30)\/(sqrt(30)\/sqrt(3)) + (sqrt(3) + sqrt(75)*-5 - sqrt(3)))**2.\nAnswer: 27*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1104 - -84. What is the units digit of p - ((17 - 7) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64728 and 347913?\nAnswer: 2783304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84844094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 - 3*i**2)*(-1 + 2 + 1) + i**2 + i**2 - 4*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*o = -362 - 365, -o = 5*h - 3653. Calculate the highest common factor of h and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1029) + (sqrt(1029) - 4*(sqrt(1029) + -1*sqrt(1029)) - sqrt(1029)) + sqrt(1029))\/(sqrt(1008)*-5))**2.\nAnswer: 49\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7185 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823933472?\nAnswer: 2, 25747921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1351*v**4\/4 - 868*v - 1172. What is the derivative of g(h) wrt h?\nAnswer: 4053*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 3) + -1 + 7. Let p be 6\/(-1)*(v - (-22)\/(-6)). Suppose 0*y = -p*y + 1492. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236680589.\nAnswer: 1621, 146009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*b**4 + 2185454*b + 112550881\/2 + 206*b**3 + 31827*b**2 = 0 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/1680 + n**6\/180 + n**5\/48 + n**4\/24 + n**3 - 6*n**2. Let r(y) be the first derivative of i(y). Solve r(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 + -225 - (0 - 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1808, 1792, 1764, 1718, 1648?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4) + -1)\/1. Let l = -0.11 - 8.89. Let n = 11 + l. Is n < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = -14. Let x = r + -7. Solve 0 = -x*s + 5*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 30*u + 4*u + 8*u + 5*u)*(-248 - 242 + 446) as t + c*u and give c.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -18553 smaller than -18541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4424011967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = t + t - 30, -2*r = -4*t + 12. Let u be 18\/3 - 14\/7. Suppose -r*h - u + 16 = 0. What is the least common multiple of 95 and h?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 5*f - 3. Let l be u(2). Suppose 0 = 3*z + v - 3 + 12, l*v = -5*z - 19. Suppose m - 2 = -3*r, 4*m = -r - 4*r + 1. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let q(z) = -z**2 + 5*z. Suppose 6 = 5*o - 4. Suppose -2*t = 4*l - 14, 4*l - 13*t + 9*t = -16. Calculate l*q(f) + o*k(f).\nAnswer: -f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8156871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10465 + 10490.207. What is p rounded to 1 dp?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -86*m - 11. Let d(o) = 87*o + 12. Let g(s) = -5*d(s) - 6*i(s). Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(1331) + -4)*-1*4)**2.\nAnswer: -6336*sqrt(11) + 86480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4806190 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495832 is divided by 805.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let t = k + -2. What is the closest to t in 2\/5, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 2*q**3 - 11 + 9*q**3.\nAnswer: q**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 9*o - 217. Let n(k) = -27 - 25 - o - 5*k + 74. Let g = -13 - -7. What is n(g)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/6*19323\/114. Let z = -1240 + w. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a56 (base 13) to base 7.\nAnswer: -52106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 52. Let k = 26.5 + v. Let f = -0.5 + k. Which is greater: -1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -72. Suppose -2*b = 2*w - 4*w - 12, 0 = 4*b + 5*w - 60. Let l(y) = 2*y - b*y + x + 4*y**2 + 3*y - 1. Determine l(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2591 - -673661\/260. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3782 is divided by 729?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = g + 1, -5*y + 3*y = 0. Let k(s) be the second derivative of -11*s**4\/12 + s. Give k(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-63) + 162\/27 + 541\/(-105) + 0.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxckwxxwkxkwxu. Give prob of sequence cx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4255*f**2 + 5 - 1417*f**2 - 1417*f**2 - 1423*f**2 + 10*f. What is z(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8921 rounded to 1 decimal place?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Let p = -1 + i. Solve -o - p = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 0 + 3*t**3 - 8 + 5 in the form n*t + a*t**3 + g*t**2 + x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and 3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 47*v**2. Let q(u) be the second derivative of -u**4\/6 + 4*u + 96. Calculate m(q(k)).\nAnswer: 188*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 117.7.\nAnswer: 112.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 28 = -2*x + 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - 164. Let j = -69 - f. Is -0.01 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 47*h + 22. Let x be q(-24). Is x + 5 + 2572 + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 4*b - 143. What is the third biggest value in -9, -0.3, b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) + 1 - 1. Let g(c) be the second derivative of c**5\/20 - c**4\/6 - c**3\/2 + 2*c**2 - 2*c. Let n be g(3). Put t, n, -5 in increasing order.\nAnswer: -5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4054 - -0.0054. Which is the nearest to -7? (a) -2\/7 (b) 2\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g**2 + g + 672. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - -39. Let t = -2 + q. Let a(b) = -110*b**2 + t*b**2 + 57*b**2. Let f(m) = 4*m**2 - 5. Determine f(a(n)).\nAnswer: 4*n**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2405423330 to the nearest 1000000.\nAnswer: 2405000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -169414\nAnswer: 5590662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438382.3cm to millimeters.\nAnswer: 4383823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - c - 152, -10 = 5*c - 0*c. Suppose -w = -5*l - 3*z, -17 = 3*l - 2*l - 4*z. Solve 5*f - 12 = 4*i, 2*f - 3*f = l*i - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -1)\/((-4)\/(-10)). Let h = 2 - v. What is the units digit of 0 - 1*h - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/3508 in 3, -0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -247. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 2*w**4 - 13 + 10*w**2 - 10*w**3 + 2*w**2 + 27*w**3 - 7*w**2 - 16*w**3 to b + l*w + p*w**4 + i*w**2 + d*w**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -403 or 3864?\nAnswer: 3864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6495.2 + 6144. Round g to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8bfd4 + 4?\nAnswer: a8bfd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 4*y + 3. Let b be h(-6). Let q = 24 + b. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -3313?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8538806 and -2747.\nAnswer: 8536059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*(124\/(-56544))\/((-1)\/4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, -631, 9 in ascending order.\nAnswer: -631, -13, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 50656.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 - 86*s + 177. Give x(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/(((-360)\/(-16))\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -23*q - 2*q + 266. Solve -3*m = 4*n - 11, 0 = -q*m + 16*m + 4*n - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(162)*-3)\/sqrt(9))\/(sqrt(324)*-5)*-1.\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222535 (base 9) to base 13.\nAnswer: 1a3639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.429999 hours?\nAnswer: 15947996.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*u + 5, 0 = -5*j + 5*u - u + 30. Suppose -321 = -5*q + 4*p, j*p + 2*p = -2*q + 134. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43531920 by -6.\nAnswer: -7255320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 4*n - n)*(2 - 5 - 1 + 1 - 2 - 2 + (-1 + 2 - 2)*(-3 + 5 - 1)) in the form w + m*n and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-27)\/2)\/(-9)*12 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17261\/3 - -5755. Let a(b) be the second derivative of -t*b**3 + 0 + 9*b + 0*b**4 + 0*b**2 - 1\/2*b**5. What is the second derivative of a(o) wrt o?\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 2:08 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/3 - 11*s**2 + s. Let x be j(14). Let k(a) = -3*a + 1 - 2*a - x + 2. Calculate k(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v + 21*v = -10*v - 378 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 13*j + 12. Calculate the smallest common multiple of 8 and o(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(492\/60 + 4*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 15705.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*t = 283*t + 23232 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + -1 + 66\/(38 + -3 + 0).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5489, -11064, -16639?\nAnswer: -22214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*y - y + 32545, -y + 2*s + 6512 = 0. Suppose 2*l = -5*f + 16313, 11*f = 9*f + 4*l + y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**3 - 15*v**3 + 15*v - 21*v wrt v?\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 812 - 803. Calculate the remainder when 80 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -7\/8, 1, -0.1, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54644909?\nAnswer: 11, 31, 191, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 + 10*w - 11. Let f be n(8). Let x = -43 + 51. Is x at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/194120 and -59\/1380?\nAnswer: 582360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4590.9 days?\nAnswer: 396653760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u + 55*u = -18 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21247.5 - -5992.\nAnswer: -15255.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 + 8276?\nAnswer: 8312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l - 4 = 0. Let s(f) = -24*f - 6. Let z be s(l). Suppose 40*b + 390 = z*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8546? (a) 1\/6 (b) 2\/13 (c) -0.3 (d) 9\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + 0)\/(2\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/17044819 and -36\/20143877?\nAnswer: 221582647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11114 + -11113.7. Which is the closest to -6\/11? (a) 0.2 (b) 4 (c) j (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 304*y**2. Let f(u) = 730*u - 727*u + 88 + 87 - 175. Give n(f(h)).\nAnswer: 2736*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -9, -12, 4 in ascending order.\nAnswer: -12, -9, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 30, 8, -36, -108?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -1 - (44 - 25) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**0))**41\/(l**(-2)*l*l*(l*l\/(l\/l**(-2)))\/l*l)*(l\/(l\/(l\/(l*l**0))))**(44\/5)\/(l*l**(4\/7)*(l*l**3*l)\/l*l) assuming l is positive.\nAnswer: l**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.5 (c) -0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*m - 11*m. Sort m, 4, 2, -5 in decreasing order.\nAnswer: 4, 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/6 + t**2. What is the remainder when n(-3) is divided by ((-8)\/6)\/(5\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (1 - -2))*-21. Let p = 5 + i. Let u = -9 - p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 41 + 25. Suppose p*g = 209 - 197. Solve g*u + 6*i - i = 6, -3*u - 2*i = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(12\/11)\/(h\/(h**(7\/5)\/h)*h)*h**(1\/8)*h**(-23) assuming h is positive.\nAnswer: h**(-10289\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -426861 * -0.33\nAnswer: 140864.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - t - 16 = 3*t, -q - 5*t = -15. What is the remainder when 13 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26380*u**3 + 78*u**2 - 68668230*u.\nAnswer: 158280*u + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-3 + 3))*525\/10. Determine u so that -x*u - 32*u**2 - 75 - 19*u**2 + 18*u**2 - 3*u**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*0 + (-3 - 5). Let g(s) = -2*s**2 - 17*s - 1. Let k be g(l). Calculate the greatest common divisor of 91 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6298599.\nAnswer: 3, 331, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 + 8*p - 3. Suppose -7*c = -30 - 5. Determine u(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003553.\nAnswer: 83, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4567245 + -30110176.\nAnswer: -25542931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 30 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(272) + -3 + sqrt(272) + (sqrt(272) - (sqrt(272) + -1)))**2 + (sqrt(17) - -2*(sqrt(17) - (sqrt(17) + 0))**2) + (4*sqrt(153))**2 + 2.\nAnswer: -31*sqrt(17) + 3546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23743817 and 1553.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331 + 609. Suppose -5*a + 95 = u, -y = -3*u - 3*a + 19. Calculate the greatest common divisor of 40 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b - 108 = o, 3*b = 3*o + 165. Let r = -44 + b. Solve -4*d + r = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -1001000111110001?\nAnswer: 1001001000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(612) + 0 + -1 + sqrt(612))**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8733 - 8703. Solve 223*p + x = 217*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 102 = 2*n + 34, 3*r - 4*n = 109. Suppose 5*q + p = q - r, -q + 5*p = -7. List the prime factors of (46\/q)\/(3\/(-120)).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 3. Suppose -6 = -x - h. What are the prime factors of 1\/(x\/117) + 3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 786421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -9*t**5\/50 - t**4\/15 + 3*t**3\/5 + 2*t**2\/5 - t. Factor g(i).\nAnswer: -2*(i - 1)*(i + 1)*(9*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32, 47, 80, 137, 224?\n\"Answer: m**3 + 3*m**2 - m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Suppose t = 4*d - 5*d. Does d = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (19 + -9)*-3*21\/(-18) is divided by (216\/16)\/((-9)\/(-12))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)\/b**(-3\/7)*b\/b**(2\/9)*b*b**(-5) assuming b is positive.\nAnswer: b**(-491\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2734.3308 - 585.\nAnswer: -3319.3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/2 (b) 0.04 (c) -3079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, c: 14, f: 1}. Give prob of picking 2 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 999*o**2 + 3*o + 4. Let u be h(4). Let t = 25 - 31. Let j be (u\/6)\/((-2)\/t). What is j rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/6 - 4*l**4 - 106*l**3\/3 - 413*l**2\/3 - 441*l\/2 - 343\/3.\nAnswer: -(l + 1)*(l + 2)*(l + 7)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17513 - -53989. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 3917.199.\nAnswer: -19585.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.15 + -4.4. Let t = c - 0.25. What is the nearest to 1 in t, 2, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 4336352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**10*a**1)\/(a**2)**(-38) assuming a is positive.\nAnswer: a**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 - 9.51. Put u, -0.5, 2\/3, 2\/15 in ascending order.\nAnswer: u, -0.5, 2\/15, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - n - 21. Let h be z(5). Let s = -3 + 5. Suppose -s*m = -3*k - h, -4*m + 41 = -m + 2*k. Are m and 17 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 76*v. Let x(a) be the first derivative of 5*a**3\/3 - 86. What is x(f(l))?\nAnswer: 28880*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/772450 and -157\/331050.\nAnswer: 2317350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 15*i + 6. Let a(v) = -v**3 - 10*v**2 + 11*v - 12. Let y be a(-11). List the prime factors of w(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -230194, -920786, -2071772, -3683152?\n\"Answer: -230197*h**2 - h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000286 to seven dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.41 times 385355\nAnswer: -1314060.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/41285 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(10*7\/700)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.16633359 rounded to 1 dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48882, -48885, -48890, -48897, -48906, -48917, -48930?\n\"Answer: -l**2 - 48881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (63 + -1)*(-4)\/144 - -1 and 163\/78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxiixxxxxxilxixl. What is prob of picking 1 l and 2 x?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*u**6 - u**4 - 117*u**2 + 2*u.\nAnswer: -12480*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229 or 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u + 9. Suppose 0 = -v + 3*v - o - 15, 3*v = 2*o + 25. What is the units digit of p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -113190, -225619, -338048, -450477, -562906?\n\"Answer: -112429*f - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -645*t + 644*t - 6 - 6, -9 = -3*i for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 - 2*d**4 + 0*d**4 + (-d**2 + 0*d**2 - 4*d**2)*(2*d**2 - 4*d**2 + 0*d**2))*(0*d + d + d).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -4*c + 6*b, -5*c - 571 = 3*b - 576 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 3*w. Let g be (-10)\/2*16\/20. Let u be j(g). Suppose p - 11 = -1. Solve -u*h + p = -6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = -2*w - 3*l, 4*l = 4*w - 16. Let p = 4 - 2. Suppose -5*z = 2*m - 3*m - 139, p*m = w*z - 82. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 260?\nAnswer: -259.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -19 + 1*121890. What is j rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddkkdgdgkdgg. Give prob of picking 2 k and 2 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.58 times 15770?\nAnswer: -277236.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212.749 + 212.349. Suppose -6 = -3*j + 4*y, 0 = j - 3*j - 3*y + 21. What is the nearest to j in c, 2, 3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -12*u**2 + 17968*u + 11984 = 0.\nAnswer: -2\/3, 1498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 10 - (-11 - 0)) + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r. Let i(d) = -7*d. Let z(p) = 4*i(p) - 3*m(p). Let w(s) = 7*s**2 + 13. Let v(t) = 3*t**2 + 6. Let j(c) = 13*v(c) - 6*w(c). Give j(z(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69301932 by 28.\nAnswer: -2475069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357\/170 + 1 + -3 - 67\/(-134).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24551, 48516, 72481?\n\"Answer: 23965*m + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 17086\nAnswer: 17091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*b + 1 - 2 + 1 - b - 1 + 2*b - 2 + 2 + (0*b + 0*b - 2*b)*(2 - 5 + 1).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 598933543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/10 + 3*m**5\/20 + m**4 - 2*m**3 - 2*m. Factor h(n).\nAnswer: -3*n*(n - 2)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4 - 383*g**3 - 47553*g**2 - 1733261*g + 22480910 = 0. What is g?\nAnswer: -131, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = -0*s - 5*m, 0 = -4*m for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*d**3*s**2 + 10345*d**3*s + 90*d**2*s**2 + 2925*d*s**2 wrt d?\nAnswer: -324*s**2 + 62070*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (22 + 0)) + 164 + -157.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 0)*(2*c - 86 - c + 59) in the form p + h*c and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l - 2. What is the second derivative of -l*x + 3*x + 3*x - 20*x**5 + 4*x wrt x?\nAnswer: -400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004652791?\nAnswer: 3, 23, 9684313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17352 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-3))\/(3\/36). Let c = 6 + -4. Suppose 5 = -v + 5*m, -2*v - 3*v + z = c*m. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -684, -692, -700, -708?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77010237 to the nearest integer?\nAnswer: 8776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 18*d + 26. Give z(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 384, 81, -472, -1275?\n\"Answer: -125*l**2 + 72*l + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkww when four letters picked without replacement from kwklzwzkkww?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 310*m - 702. Determine s(101).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003300314 (base 5) in base 10?\nAnswer: 2009459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -125*n**3 - 32*n**2 + 8*n + 5. Let u = -201 - -196. Let k(w) = 376*w**3 + 96*w**2 - 24*w - 14. Let v(s) = u*k(s) - 14*f(s). Factor v(j).\nAnswer: -2*j*(5*j + 2)*(13*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50b + 1a8?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -659 + 667.83. Let y = m + -9. Let n = -0.12 - y. Round n to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -803 - 1941?\nAnswer: -2644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209, 285, 397, 551, 753, 1009, 1325, 1707?\n\"Answer: o**3 + 12*o**2 + 33*o + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2491, 4974, 7447, 9910?\nAnswer: 12363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 928 and 456976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u\/((u\/(u\/(u*u**(-5\/2))))\/u))*u)\/u)*((u*u**(-19)*u)\/u)\/u*u)\/(u\/(u**4*u)*u)**(-2\/105) assuming u is positive.\nAnswer: u**(-1019\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 2254 = 2212. Let i(m) = 2*m + 6 + 0*m - 1. Calculate i(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 196*i**2 - 405*i - 583. Determine n(-100).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*x + 3*x = 166, c = 2*x - 40. Let k = -9 - c. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -944*h + 948*h - 2*z, -29 = -3*h + 4*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2005*j**4*r**2 - 77*j**4 - 5*j**3 + 79636*j**2*r**2 + 14*r wrt j?\nAnswer: -48120*j*r**2 - 1848*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -7 - 3)\/(99 - (-985694)\/(-9964)). Determine k so that 24\/7*k**2 + y*k + 20 = 0.\nAnswer: -7, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 2497.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 28 = -3*g, 16*g + 5 = 69 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-126)\/(-243))\/(60\/(-1170))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739\/154637 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6609380.899346 - 6609388. Let p = 7.1 + b. What is p rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 81.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 + -160.999548. What is k rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34772 + 25.03852963.\nAnswer: 25.38624963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653153 is divided by 217675.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2432782870 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*((0 + 4 - 1)*(4 + 1 - 1)*(-7*x - x - 8*x) + (1 - 3 - 2)*(2*x + 0*x - 4*x)).\nAnswer: -368*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 3*w + 9. Let v be p(5). Is v greater than 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*l + 1148 = 0, -458 = -2*n + 11*l - 10*l. Calculate the common denominator of 23\/15 and 0 + 5 + n\/(-35).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d + 5. Let f be b(-5). Let g(q) = 2*q**2 - 3*q**2 - f*q + 4*q**2 + 8. Is g(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102240 divided by 9\nAnswer: -11360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drxrrxrxxrdudxruxxr. Give prob of sequence uu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 d, and 1 v when four letters picked without replacement from vddmmomdkdkkm?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039880818 to 5 decimal places.\nAnswer: 0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -35. Let d be 234*((-5)\/(-6) + 6\/(-18)). Suppose -11*l - 2*l = -d. What is the highest common factor of z and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2 + 2)*(-b**2 - b**2 + 1 - 2*b**2)*(-4 + 5 - 2)*(2 - 2 - 9)*(2 + 3 - 4).\nAnswer: 36*b**4 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/15))**15\/(((t**(-7\/8)\/t)\/t)\/t**(-19\/4)))**(-1\/5) assuming t is positive.\nAnswer: t**(47\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29707 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -28. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 8*o - 7. Let n be g(9). Let r = n - -1. What is the remainder when 4 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**3 - l**4 - 14*l**3 + 3 + 2*l**2 - 2 as s*l**4 + p*l**3 + c*l**2 + k + r*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15013697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24844)\/8)\/(107\/(-856)).\nAnswer: 2, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73)\/(17155\/(-4512)))\/((-3)\/(-5))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -13.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*1 + -3 - sqrt(252)*2*6)**2.\nAnswer: 396*sqrt(7) + 30501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0.2 (c) 95 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 - n**3 - n**3 + 0*n + 3*n**3 - 18 - 12*n. Let m be l(-14). Let i = 80 + m. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -3210.\nAnswer: -13\/3210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -217, -207, -179, -127, -45, 73?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxy. What is prob of picking 1 x and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 114 = 216. Suppose -5*j = 10, 5*j - u = -4*h - 0*j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c + 10?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.46 - 0.06. Let k = a + -1.3. Round k to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 3. Suppose -4*q + 0*q + 22 = 5*o, 4*q = 4*o + 4. Let c be p(q). Suppose f + c = 4. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.442 - 0.442. Let v = -1.44 + 42.44. Which is the third smallest value? (a) t (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -32) + -23 - 3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145507 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1836 + 520 + 257 + 524 + 515 + 2*f**2.\nAnswer: 2*f**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -259, -5, -4, -9, -26 in decreasing order.\nAnswer: -4, -5, -9, -26, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 135 = 5*v. What is the greatest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 1, -4, 103, -0.4, 2\/7, 2 in increasing order.\nAnswer: -4, -0.4, 2\/7, 1, 2, 94, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*m - 1, 3*m = 3. Let q = w - -29. Suppose -q = -2*t - 25. Solve 0 = t*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8*-2*-12. List the prime factors of 84\/(-8)*4\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 5*c**2 + 2*c - 1. Let a be b(4). Let v = 12 + -17. Let y = v - a. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*k**2 - 370*k**2 - 78*k**2.\nAnswer: -556*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {o: 2, a: 5, g: 4, h: 2, t: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(-4 - -26) - -7. Calculate the greatest common factor of 20124 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1395)\/84)\/(-155)*5*-78*(-12)\/(-90).\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 + c + 6. Let d be g(7). Let y = d + 33. Let s(m) = m + 1. Calculate s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.52 + 1.62. Which is the second biggest value? (a) -4 (b) g (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 1 (c) 2\/7 (d) 189 (e) -0.7 (f) -5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142540 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + 4*t**2 - 3*t**2)*(13268 + 588*t - 13268) + (1 + t**2 - 1)*(-t - 2*t + 2*t) as w*t**3 + m*t + z*t**2 + a and give w.\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124264523.\nAnswer: 31, 293, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w + 10. What is y(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -78, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = y. Let x(b) = -2*b + 30. Let w be x(14). Suppose 2*t = w*v - 0*v + 10, -10 = -2*t + 5*v. Solve -o + t*i = -6 - y, 2*i = o - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 131064036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 39. Suppose y = 4*j + 47, 2*y + s*j - 166 = -3*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/2))\/i**(-11) assuming i is positive.\nAnswer: i**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43983491 is divided by 97.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)*3*5 - sqrt(110))\/(sqrt(20)\/(sqrt(10) + sqrt(90))))\/(sqrt(80) + sqrt(80)*-2*-3 + sqrt(80)*1*-3))**2.\nAnswer: 539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/25*10\/(-4). Let q = 6 + -8. Is q > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27092.0044 - -27110. Let n = u - 18. Round n to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 2\/3, -0.419, -1\/2, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8766 - 4829. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, 89401 in ascending order.\nAnswer: -3, 37, 89401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25358771 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzhwhwmwwzwhhbmw. Give prob of sequence zmz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4426813\/6045 + 9520\/13. What is the common denominator of o and -79\/1240?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -3 - 9\/2*h**2 + 0*h. Let p be i(-2). What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1.72.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2664.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*v + 43825 = -69358. Calculate the highest common factor of v and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 127*t - 99*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -70. Let c(i) = i. Let l be c(5). Sort l, f, 2 in decreasing order.\nAnswer: l, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 282*d**3 + d**2 - 1. Let o be p(-1). Let k be o\/(-4)*6\/9. Suppose -v + 5*l = 8, 4*l + 21 = -2*v + k. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -22*h**3 - 3*h**2 + 13*h + 3. Let u(j) = -66*j**3 - 8*j**2 + 38*j + 8. Let l(d) = 3*u(d) - 8*v(d). What is the second derivative of l(n) wrt n?\nAnswer: -132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2. Let i(z) = 21*z**2 + 5. Suppose -3*b + 16 = 1. Let a(f) = 200*f**2 + 48. Let g(j) = b*a(j) - 48*i(j). Give g(o(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/1*-1*-10. Suppose 2*s - s = o. Suppose -u - 4*i + 18 = 0, -i = -u - 6*i + s. What is the greatest common divisor of 100 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pidd when four letters picked without replacement from {x: 4, p: 1, d: 9, i: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**24*a**(-14))**(-19) assuming a is positive.\nAnswer: a**684","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(182\/(-195)*(-240)\/(-2304))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132255?\nAnswer: 3, 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:33 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 28*w + 5. Let p be k(17). Let r = 1 - -3. Suppose 0 = -r*d + 28 + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-40))\/((-6)\/20). Suppose -b = 3*b - 3*c + 6, -4*c + 8 = -2*b. Suppose r*v - 4 = -b. Solve v = o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(133)\/(sqrt(63)\/sqrt(441)).\nAnswer: 2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -36, 12 in ascending order.\nAnswer: -36, -16, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -635*u**2 - 3*u + 2. Let o(b) = -635*b**2 - 4*b + 2. Calculate -4*o(h) + 5*r(h).\nAnswer: -635*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 3*g + 14. Let n be y(7). Suppose 0 = -4*m - 2*m - 90. Let x be (42\/15)\/(0 - 1\/m). Calculate the highest common divisor of x and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.6. Let b = 93 - 92.5. Let x(j) = j**3 + 8*j**2 + 6*j - 9. Let z be x(-7). Sort b, s, z in increasing order.\nAnswer: z, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 9)\/((-9)\/(-3) - (11 + -7)). Solve -2*u = -4*i - 14 - 8, w = 5*u - 4*i - 31 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9073 divided by -2364?\nAnswer: 9073\/2364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142618*b*k - 217116*b wrt k.\nAnswer: 142618*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:34 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 y when three letters picked without replacement from {y: 4, z: 1, i: 4, g: 2, v: 1, k: 7}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 3:45 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -263*o + 261*o + 5*k, 2*o = 3*k + 49. Suppose 23\/4*l + 1\/2 + 31\/4*l**o + 5\/2*l**3 = 0. What is l?\nAnswer: -2, -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*h - 1803 = -681 - 94 + 1504 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 20. Suppose c = 3*b + 6*c - 12, 0 = -3*b + 4*c + y. Suppose i = -3*i + b. Which is smaller: 2\/9 or i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1986.42 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.802 + 134.598. Let b = -135 + k. What is the second biggest value in 55, b, -1, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/((-4)\/12). Let l(v) = v**2. Let a be l(x). Let c be 46\/56 - 6\/24. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 24*x + 10*x)*(-4*x + 0*x + 2*x) - x**2 + 0*x**2 + 3*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2550\/(-135))\/17)\/((-2)\/9) - 3. Solve -u = 41*q - 84 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-1))**38*v\/((v*v**(-1\/5))\/v)*(v*v\/(v*(((v*v*v**0\/v*v)\/v)\/v*v)\/v))\/v)\/((v**(3\/2)*v*v**(1\/6))\/(v**2*v**(1\/2))) assuming v is positive.\nAnswer: v**(3451\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81590 and 61090?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.22054 + 4.1305356. Let x = o + 0.09. Round x to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:09 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 814*z**2 + 928*z**2 + 2*z - 1903*z**2 - 2.\nAnswer: -161*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-1) - 120\/60. Factor 2\/7*d**2 + 2\/7*d**3 - 2\/7*d**b - 2\/7*d**4 + 0 + 0*d.\nAnswer: -2*d**2*(d - 1)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 2*y**4 + 132809*y**3 - 19116*y**2 + 5*y?\nAnswer: -240*y**3 - 48*y + 796854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 234787609.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y**2 - 2*y**2 - 35*y**2)*(-3 + 4 + 0).\nAnswer: -62*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456 + 4*k**2 + 226 + 230.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -2. Let f be (-18)\/(-15)*-1*-120. Let r be (0 - (1 + 0)) + f. What is the highest common divisor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u + 4. Let a = 9 - 13. Is 20 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.9117 litres in millilitres?\nAnswer: 152911.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**2*s - 84*r**2 + r - 2*s + 32 wrt r?\nAnswer: 10*s - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 56*k + 3480 = 0. What is the highest common divisor of 551 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012002111 (base 3) to base 5\nAnswer: 1222040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46.9, -0.1, 1, -812, -10?\nAnswer: 46.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 16. Give p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7 = -8. Let y = 23.55 + -23.55. Sort n, 0.4, y in ascending order.\nAnswer: y, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40368 is divided by 4029?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 742 = 5*y - 16398. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-372)*((-200)\/6)\/25\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**2 + 3*w + 5. Is c(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.73 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1478905 and 0.24035?\nAnswer: 1478905.24035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/(-8)*(-612)\/(-27)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 6 - -12) + 7 + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19*j - 10. Let m be z(9). Let s = m - 39. Let n = s + -42. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 - 2*n**2 + 5. Let m(d) = -4*d**3 + d + 2*d**2 - 4 - d**3 - d. Give 5*m(y) + 4*r(y).\nAnswer: -y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -89\/2. Which is the second biggest value? (a) -1 (b) -0.09 (c) -3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 + 6*o)*(197*o + 250 - 250).\nAnswer: 1182*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 13*k - 11. Let u be w(13). Let l be (26\/(-8))\/(5\/u). Determine m so that -9*m - 117 + l - 12*m**2 = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -2\/21, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17663700 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/((-1435)\/30) + 368\/(-28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -1262888.\nAnswer: -1262887.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from nxnbefnnefebeeeene?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 6*q + 1. Let u be n(4). Suppose u = -x + 14. Let c = -57 - x. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 212386311 or 212386312?\nAnswer: 212386312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146885216 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49869051001*v**3 - 49869050998*v**3 + 0*v + 0*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -3.8002.\nAnswer: -11.4006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -184, 1, 2 in ascending order.\nAnswer: -184, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5493 - 2591. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 108*c + 3450. Let p be d(-28). What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/9)\/x*(x*x**3\/x*x)\/x*(x*x**(2\/37))\/x*x*x**(-1) assuming x is positive.\nAnswer: x**(647\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -75*p - 1. Let t(o) = 38*o + 1. Let a(q) = -3*c(q) - 5*t(q). Let f be a(10). Let w = f + -239. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 - 9*l + 7. Let o = -10688 + 10692. Let j(n) = 11*n**2 + 17*n - 13. What is o*j(k) + 7*a(k)?\nAnswer: 2*k**2 + 5*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(1\/2)))**(3\/19)\/((i\/(i**(2\/7)*i))\/i*(i\/(i*i**0))\/i) assuming i is positive.\nAnswer: i**(629\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 123*h - 6 - 2*h**3 + 0.\nAnswer: -2*h**3 + 123*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 5*c**3 - 3*c**2\/2 + 121*c - 117. Differentiate n(b) with respect to b.\nAnswer: 30*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3224331 + 2139450. Let j = f + 1084899.000046. Let h = 18 - j. What is h rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382920\/17 > 22524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from fqfzgqnggzggazz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 4234.695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*m - 7328, -m - 3*j + 2763 = 915. Calculate the highest common divisor of m and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10450.01778 + -10450. Round x to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 2, -1, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, -1, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -897. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - f**2 + 4*f**2 - 2 + 0 + 2*f**3. Does 8 divide x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/11)\/w**7 assuming w is positive.\nAnswer: w**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggwgggwwgwg. What is prob of sequence wwww?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m\/m**(-2\/7))\/m)))**13\/(m**6*m**(3\/5))*(m**0\/m**(-7))**(2\/21) assuming m is positive.\nAnswer: m**(1132\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (39 - (7 + -13 + 14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 61. What is the remainder when l is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*c = -258 - 6286 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 3, u: 4, l: 1, h: 1, m: 1}. What is prob of picking 1 l and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1832274679 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2101 + -2101.1. Sort -2\/19, -0.57, l in descending order.\nAnswer: l, -2\/19, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + db4459d?\nAnswer: db4459c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-25)*(19 - -1). Is (-6 + h)\/6 - -305 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12 + (-2 - 9))\/((-2)\/(-2036))?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3051985 + -0.5?\nAnswer: -3051985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 420.\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v = -87 + 570 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128057 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 6:50 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*a + 6*a = -70, 0 = -k - 2*a + 14. Solve -k*s + 3*s - 11 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-20)*u**9)\/(u**(2\/37))**9 assuming u is positive.\nAnswer: u**(-425\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 13131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 83729.78 kilometers?\nAnswer: 83729780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113197 - -113200.03. Let g = 4 - 3. Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3*g + 6 + 7, j - 4*g + 21 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -1160\/17. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3)*-1 - sqrt(13)) + (sqrt(1573) - -2*sqrt(1573) - sqrt(1573))**2)*4.\nAnswer: -8*sqrt(13) + 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*q + 65093, -4*s + 155590 = 3*q + 25449. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68\/7 + -10. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2. Let u(n) = n - 1. Let g = 118 + -132. Let z(s) = -12*s + 7. Let k(h) = g*u(h) - 2*z(h). Give t(k(m)).\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/6 + 4265*h**2. Let z be 2\/7 + 18\/(-14). Let o(g) = 6*g**2 + 3*g - 7. Give z*o(s) + 5*w(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -g - 2*g. Suppose 0*p + 4*h = -3*p + g, -3*h - 230 = -5*p. Let u = -25 + p. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002165621 to seven dps.\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53106413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 14*p - 9. Let n be g(-6). Let r = 1 + 4. Which is the nearest to -1? (a) n (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4836 and 3348?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 221437642013 from -0.9.\nAnswer: -221437642013.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let a be 0\/(6*(-4)\/(-12)). Solve a = -2*d - f, -17 = 4*l + 2*d - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191687 and 603.\nAnswer: 1725183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21122210221 + -12?\nAnswer: -21122211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:10 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 67*c + 303 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-20)\/(-4) + -3)*0. Suppose l = -7*g + 6*g + 4. Suppose 5*d = 4*p - 7265 + 2569, g*p - 4*d - 4696 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1349252746 * 5.\nAnswer: -6746263730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*n = 452*n + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*p*w**2 - p*w - 645*w**2 + 8855*w wrt w.\nAnswer: -32*p - 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j + 1. Give h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0054 in -4\/5, 56, -49\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 13*s**2 - 7*s + 12. Let n be r(-12). Calculate the greatest common divisor of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*m + 39. Which is the closest to -0.11? (a) 1\/4 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*z + 63, z = 4*w - 65 - 52. Calculate the remainder when w is divided by 4 + 72\/99*11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8741906, -8741903, -8741900, -8741897?\nAnswer: -8741894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*r + 34*r - 72*r - 2*r**2 - 225*r**3 - 4*r**3 + 0*r**2 + 0*r**2 + (r + 4 - 4)*(-3*r + 2*r**2 + 3*r).\nAnswer: -227*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001001001011000 (base 2) to base 8.\nAnswer: 211130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005595 rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-7*t + t + 3*t) + 12832 - 165*t - 12832.\nAnswer: -159*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 - 47350*u**4 - 284139*u**3 + 142052*u**2 + 757708*u - 568272 = 0. What is u?\nAnswer: -6, -2, 1, 47356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:06 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 468 - 258. Solve -4*r - y*t = -33, 18*r - 4 = 21*r - 2*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*j = 12, -5*j = -28*p + 33*p + 45. Is 367 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c)**6)**(-6)*(c**(-3\/4)*c\/((c\/(c*c\/(c\/(c*c\/c**(-1)*c))))\/c))\/(c*c*c*c*c**0*c)**(7\/10) assuming c is positive.\nAnswer: c**(199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**2 - 40*r - 21*r**2 + 38*r + 2*r.\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let k(r) = -r - 4. Let f(q) = -3*q - 11. Let s(c) = 3*f(c) - 8*k(c). Calculate s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 240 + -3?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3. Let h(g) be the second derivative of g**5\/20 - g**4\/3 - 2*g**3\/3 - 3*g**2 - g. Let q be h(5). Let d(f) = 7*f**3. Give q*d(u) + 6*m(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3 = -2*c, 166*c + 15 = 164*c - 9*f for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (10 - (-39 - 56))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -5*x + 3*x. Let g = 104 - x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -23.02. Let j = -32.02 + a. Let g = -32.00000057 - j. Round g to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 + 5*i**3\/3 - 5*i**2 + 12*i. Let n be k(-11). Let l = -4 + 2. Is l at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 3:01 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 + y. Let a(p) = p**3 - 8*p**2 + 6. Let v be a(8). Let b(f) = f**2. Give v*b(s) + 2*c(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 137290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/65)\/(-1*2\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1)*5 + 1 - (sqrt(1331) + (4*(sqrt(1331) + -1 - sqrt(1331)))**2 - (sqrt(1331) + (-1*sqrt(1331))**2 + 1 - sqrt(1331))).\nAnswer: 4*sqrt(11) + 1322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1\/7 (c) 1.37 (d) -6\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r - 2*u = -13*r - 359458, 4*r - 2*u = 102692. List the prime factors of r.\nAnswer: 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5437068 divided by 169\nAnswer: 32172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -2192.\nAnswer: -2192, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -17 + 12 + (-23 - (7 + 0 + -12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-35834)\/(-17) + 1 + (-75)\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0513 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 792, 1\/3, 1, 0.3 in increasing order.\nAnswer: 0.3, 1\/3, 1, 792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t = -5*d - 118, -d - 5 = 0. Let l = -22 + t. Calculate the smallest common multiple of 5 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2114 * -13\nAnswer: -2.7482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 10*f - 5*f. Calculate j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 100 = 0. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-23)*(m*m*m**(2\/7))\/m assuming m is positive.\nAnswer: m**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -2\/5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/42 and 59\/1974?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**4 + a**2 - a. Let d(f) = 12*f**4 + 6*f**2 - 9*f. Let q = 8 - 17. Let r(j) = q*k(j) + d(j). What is the third derivative of r(c) wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30041 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28659 at most as big as 28759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165504*a*k**3 - 519607*a*k**2*l**3 - 63*k**3*l**3 - 42*k**3*l + k**3 wrt l?\nAnswer: -3117642*a*k**2*l - 378*k**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/24 + 25*u**3\/6 + 47*u**2 + 3*u. Let b be x(24). Calculate the greatest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2949, 5894, 8851, 11826, 14825, 17854, 20919?\nAnswer: 24026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-8 + 6)) + -3 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 8) to base 11.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05508 + 197.72508. Let w = k - 0.67. Let d = w - 197.00178. Round d to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 - -32) - (1 - 21)) + 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-432))\/((-1)\/9)*-54*(-12)\/(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13146960999 take away 10.454?\nAnswer: -13146961009.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 254123981 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 361, 529, 697, 865, 1033?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035.4964 less than 0.5?\nAnswer: 1035.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.6. What is the closest to 2\/5 in j, -2, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-214)\/30 + (-22)\/(-165)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-1)\/22*(-1)\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 - 1. Let k be t(1). Let b be k\/10 + 126\/4. Find the third derivative of 6*p**2 - b*p + 32*p + 6*p**5 wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1684 divided by 11\nAnswer: -1684\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 484*o**2 + 15*o - 32. List the prime factors of t(4).\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2415 divided by -483.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6861481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 265\/22, -4, 5, 3 in descending order.\nAnswer: 265\/22, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1496422 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -10. Let h be (-386)\/(-30) + 22\/165. Solve g = 5*v - h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 381?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 84854?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4*m = k, 0 = -145*k + 131*k + 2*m + 46 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 35*g**2\/4.\nAnswer: -g**2*(g - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 4913?\nAnswer: -9826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2118*d**3 + 2120*d**3 - 5 - 3*d**2)*(-7 + 3 - 1)*(-1 + 2*d + 1).\nAnswer: -20*d**4 + 30*d**3 + 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5335, -10780, -16225, -21670, -27115?\n\"Answer: -5445*h + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, and 1 k when three letters picked without replacement from rkattcriktcr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -97. Is 21 a factor of (w\/2)\/(2\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 1, g: 2}. Give prob of picking 1 v and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -211 - 35022464576\nAnswer: -35022464787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -6e?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1149? (a) 5\/6 (b) -4 (c) -3\/5 (d) 5 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 b when three letters picked without replacement from {d: 2, b: 2, i: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.37 + -2. Let j = 0.03 + p. Let d = j + -0.4129. Round d to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1*6\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 481.\nAnswer: -2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001 is divided by 981?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156370 and 90.\nAnswer: 1407330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/120 - 2*i**5\/15 + 5*i**4\/24 - i**3\/6 - i**2 - 163*i. Give n(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 1\/4 (c) -578 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -35568\nAnswer: -21340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -97. Solve 4 = -p*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2 + (sqrt(13) - sqrt(52)\/sqrt(4)))**2 + 4.\nAnswer: 4*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -23\/5. What is the second smallest value in q, 0.2, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 3. Let r(x) = 41*x + 3. Let w be r(m). Let k = -44 - w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -31587.\nAnswer: -1\/10529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11 = -1. Suppose -b*o + 6 = -0*o. Suppose z = o*z. Solve -a = -z + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337534453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(0 + sqrt(242))*6*6)**2*-1.\nAnswer: -31363200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (93*(-160)\/72)\/(2\/(-3)). What is the greatest common divisor of c and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (-13 - -124 - 7)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16151501.\nAnswer: 19, 44741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(8\/48).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444 - -765. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 + k**2)*(-k + k**3 + k) + (k**2 - k**4 - k**2)*(4*k - 4*k - 2*k).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5553 or 2564?\nAnswer: 5553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 32, 62, 94, 122, 140?\n\"Answer: -u**3 + 10*u**2 - u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7259908889+3829.5\nAnswer: 7259912718.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30) + (7 + -8)*(-3)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2648401, -2648408, -2648415, -2648422, -2648429?\n\"Answer: -7*o - 2648394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -7. Let v be p\/(-4) - 27\/(-6). Calculate the greatest common divisor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.07 - -8.07. Let g = 0.47 - -0.03. What is the closest to p in g, -0.2, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 2. Let w = 157 - 153. Let h be 1 - 3 - 7\/(49\/(-12)). Which is the nearest to h? (a) w (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -977, -1468, -1959?\nAnswer: -2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.809754 to two dps.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7923 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyybbybyb. Give prob of picking 1 b and 2 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let y be 25\/4 + n\/16. Suppose -a - k = -y*a + 5, -a + 4*k + 1 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -19*q + 173. Let y be p(9). Let l be 0*(-2)\/(-4) - -3. Suppose -l*m = -3*m - y*m. Solve m = 2*j + 3*a + 13, -a = j - 2*a - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 48\/(-21)) + 2\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32948, -51964, -70980, -89996, -109012, -128028?\n\"Answer: -19016*w - 13932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by (-176)\/6*30\/4*6\/(-8)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -220\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30\/11*s + 0 + 4\/11*s**3 + 62\/11*s**2.\nAnswer: 2*s*(s + 15)*(2*s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -91, 10, 7, -3\/7, -2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 4*l**2\/5 + 8*l + 16\/5.\nAnswer: -2*(l - 2)*(l + 2)*(5*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107843 and 66198?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2666551002 - -5?\nAnswer: 2666551010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20649, 20648, 20647, 20646?\n\"Answer: -i + 20650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408940935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/7 (b) 1\/10 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -17 + 22*g - 7*g + 2*g**3 + 33 - 8*g**2. Is w(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 + 2*v - 8. Let z be r(6). Let a = z + -2. Solve -a = d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*s - 11*s**4 + 4*s**4 - 3*s wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 203925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 33*o - 29*o - 42. Which is the third smallest value? (a) o (b) 5 (c) -1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, m: 1}. What is prob of picking 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 11*q + 4. Let n be r(-12). Let i be ((-15)\/5)\/(1\/n). Suppose 4*h = h + i. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*l - 6, 5*x + 388 = -2*l + 378 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 0*u + u**3 - 2*u + (-3*u + 3*u + u)*(-32*u**2 - 11*u + 11*u) to the form l*u**3 + t + h*u + s*u**2 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5*4*(-3 - -8). Let c(x) = x**3 + 6*x**2 + 6*x - 3. Let i be c(u). Suppose 2215 = i*k + 230. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 + c + 1. Let b = 6 + 12. Calculate the remainder when b is divided by l(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 435 - 408. Suppose 6*k - l = -261. Which is the second biggest value? (a) 4 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8*j. Suppose -2*u - 2 - 10 = 0. Let v be (2\/9)\/(u\/(-9)). What is the closest to v in j, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1736 divided by -248.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448433*p - 448433*p - 4*p**3 - 7*p**3 + p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(21)\/sqrt(3)))\/(sqrt(6) + -4*sqrt(6)*-2))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78881*j**6 + 268421*j**2?\nAnswer: 9465720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 44394 - b**3 - 44394.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((-12)\/(-15))\/2. Let z(k) = -2*k**2 - 3. Let v be z(0). Let f(y) = -y + 3. Let s be f(v). Solve -l*u - n + s = 4*n, 0 = u - n + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/2 (c) -4 (d) -17.258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*t + 8928, -i - 2794 = -4*t + 6142. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17336 divided by 3.\nAnswer: 17336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*j**2 - 314*j**2 + 79*j**2 + 152*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, n: 3}. What is prob of sequence nn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -75, 2\/33?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -8)\/(1\/(-6)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2719*b + 207*b - 6558 - 31325 = 145493 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7056\/(-7)*9\/(-36)*249?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/8 + 5*r**3\/3 + 10*r**2. Let t be y(8). Calculate the greatest common factor of t and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-1*4\/448)\/((-20)\/(-80))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 791, 997, 1155, 1259, 1303, 1281, 1187?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 + 5*a + 6. What is n(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -261 - -159. List the prime factors of (254\/(-4))\/(17\/y).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426781 is divided by 6282.\nAnswer: 5887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 8:31 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2757057065\/3792 - -727072. Find the common denominator of 47\/24 and m.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -43. Let x be (0 - 1)*(-4 - z). Suppose x*t + 3*t = 1115. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 468338, 468304, 468248, 468176, 468094, 468008?\n\"Answer: d**3 - 17*d**2 + 10*d + 468344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 - (-3 + 3) - -119 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24158 divided by 70?\nAnswer: -12079\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 713808 and 44613?\nAnswer: 713808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/3 - 7*d**2\/2 - d. Let s be y(5). Suppose p + 2 = -2*c, c + 2*c - 6 = -s*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1919 - -1922. Solve p*z = -3, -10*w = -7*w - 3*z - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*s = -4, 0 = 2*h + 5*s - 0 + 2. Let d be (-4)\/(-2)*h\/6. Which is the smallest value? (a) d (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 20915 = -24*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -2*p + 28, -167*j + 22 = 2*p - 164*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -10*x + 7*x. Calculate the remainder when 30 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7008*w + 18753*w + 16147*w.\nAnswer: 27892*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15617701.6 to the nearest 1000.\nAnswer: 15618000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 11:10 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from 30053316.\nAnswer: 30053301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - 149*t**2 - 5*t - 1. Let u(m) = 2*m**3 + 74*m**2 + 3*m + 1. Let j(a) = -2*p(a) - 5*u(a). What is the second derivative of j(b) wrt b?\nAnswer: -12*b - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2332*t + 3 - 2017*t - 1217*t.\nAnswer: -902*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:32 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/(-18))\/11)\/((-587)\/(-8218))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 11) in base 15?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-8)\/3. Suppose -p*i = 5*v - 232, v - 156 = -3*v + 5*i. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 760 and -1.7.\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 9. Suppose -3*n = -3*m + 3 + 6, 3*m = 4*n + 9. Does 9 divide b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492.11613 rounded to the nearest integer?\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 23.8. Which is the third biggest value? (a) -0.3 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 3. Suppose f - 8 - 2 = 0. Suppose -16 = 2*o + 5*q - 2, -o - 4*q = f. Let s be 3\/(1 + o) - -7. Calculate x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1280))\/((-3*sqrt(40))\/sqrt(10))*4.\nAnswer: -64*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 18 = 4*i, -9 = -3*i. Sort l, 9, -5 in decreasing order.\nAnswer: 9, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3029659 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37417889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5172?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**7\/10 - x**5\/6 + 19*x**2\/2 + 2*x + 26. Let p(h) be the first derivative of m(h). Find the third derivative of p(a) wrt a.\nAnswer: 504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4577.7 - 4578. Let x be (-26)\/91 - (-47)\/(-7). What is the second biggest value in k, x, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(3\/4)*k**0*k)\/((k**(3\/5)*k)\/(k*k**7*k)) assuming k is positive.\nAnswer: k**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0*k**3 + 0 - 3\/10*k**5 + 5*k + 0*k**4 + 6*k**2. Differentiate c(b) with respect to b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a823 (base 11) to base 4.\nAnswer: 101302203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 26054 = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 21 = -3*p, -5*d = -p + 5 + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/t**(-5\/4))**19 assuming t is positive.\nAnswer: t**(627\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3372457, 3372457, 3372459, 3372463, 3372469, 3372477, 3372487?\n\"Answer: d**2 - 3*d + 3372459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = t, -s - 33 = t - 36. Calculate the remainder when 10 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12078*x**2 - x + x - 6848*x**2 - 5231*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42660*h**2 + 55733*h?\nAnswer: -85320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0398627 and -0.0058.\nAnswer: -0.00023120366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u**4 + 940*u**3 + 1135*u**2 - 1360*u - 780 = 0 for u.\nAnswer: -13, -2, -6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -22. Let w = v - -14. Suppose 0*l + w = l. What is the greatest common factor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13693750 or -150631241\/11?\nAnswer: -13693750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 255 in 0.3, 1\/8, 2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4\/24 + 3*v**2\/2 + 2. Let m(q) be the second derivative of k(q). Let f(s) = 4*s**2. Give m(f(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.1261 - -0.1461. Let f = n - -58. Let r = f + -0.02. Which is the second smallest value? (a) -1 (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377981 * 103.\nAnswer: 38932043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 - -1)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(51\/(-15) - -3) - 0. Let j = 60 - k. Let f(g) = 2*g + 7. What is the remainder when f(6) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 503018100 to the nearest one million.\nAnswer: 503000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8082\/(-24246)*(472\/8)\/(2\/((-6)\/1))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 6*t + 11. Let w(u) = 2*u**2 - 3*u + 6. Let g(o) = -5*w(o) + 3*z(o). Calculate g(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + -1 + 27 + -29?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 4 + 8. Let m(x) = 2*x - 7. Let o(u) = -u + 3. Calculate j*m(c) - 5*o(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5\/2, -1.2, -0.0211, -4?\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n + 4. Calculate z(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4628 and 77904192.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 5. Let d be z(10). What is the first derivative of y**2 - 2*y**2 + d + 0*y**2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -14 - (62 + -54).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*f + 2, l + 2*l - 2*f - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22, -0.3, 5, 0.4 in ascending order.\nAnswer: -22, -0.3, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -204.0714*-18\nAnswer: 3673.2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027246479 to 4 dps.\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1998 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:27 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 485384177 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 6. Let g be s(-5). Let l be -1 - (2398\/2)\/g. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-275)\/(-22) - (1014\/(-132) - -6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2311247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3960 is divided by 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 532 + 172. Does 55 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1287*g + 2004*g - 2822*g - 3340*g.\nAnswer: -5445*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = -10. Suppose d*u = 2*t + 19, 0*u + 5 = 3*u + 2*t. Suppose 5*o = 3*j + 57, -o + 3*j + 45 = u*o. Solve -z - 2*z = -o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 32 - (3 + -4 - 0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + 111*i - 9. Let u be k(10). Let l be -2 - 21*(-74)\/530. Let d = l - 7\/53. Is u != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 14617440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 6. Let u = 12 + w. Let m be 14\/10 - (-38)\/(2280\/36). Solve 0 = -m*p + 3*t + u, t = 4*p + 2*t - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 5870762.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-3684.\nAnswer: 36840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 + -170. Solve 2*k - 4*w - 10 = 0, 5*k - 25 = -0*w + o*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = -4*m, -5*m - 18 = -u - 0. Suppose u = t - 0. Let y(i) = 9*i - 5*i - 2 + t. Determine y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0260934 and 4134259.\nAnswer: 4134258.9739066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b371 (base 13) in base 5?\nAnswer: 202340344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 783600 - 783599.199982. Let a = s + -0.8. Round a to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 322\/276 + 13\/30.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-1 - -3 - (7 + -2)). Suppose 11*t - u*t = 208. Suppose 4*n - 432 = 4*w, -n + 2*w + t = -77. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35519.\nAnswer: 11, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 16. Find the second derivative of 6*v**3 + 2*v**g - 3*v - 2*v**3 + v wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 + -6.23. Let b = 0.27 + w. Is b <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 38267 (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 4, -19 in decreasing order.\nAnswer: 105, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/11)*h*h**(-2\/3)\/h assuming h is positive.\nAnswer: h**(-10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -155. Is -2\/93 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 8 = f, -3*f = 2*w - 15 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*c**2*p - 323*c**2 - 13*c*p + 2*c wrt p.\nAnswer: -11*c**2 - 13*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/5 - 59584*o**3\/5 + 585423696*o**2\/5 - 1833202488448*o\/5 - 125269105193696 = 0. Calculate o.\nAnswer: -310, 10034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - d**2 - 3*d + 2. Let f be z(0). Suppose -898 = -3*k - f*k - m, 0 = -3*m + 9. Is 59 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -264, -395?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 8. What is the remainder when t - -2 - 0 - -7 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 9*t + 2. Let r(x) = 586*x**2 + 29*x - 6. Determine -r(h) - 3*v(h).\nAnswer: -583*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -51022\nAnswer: -4081.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 64*n + 9. Determine z(-12).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 81*r**2 - 69*r**2 + 6*r - 18*r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, 104 in descending order.\nAnswer: 104, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 36. Let h(f) = 5*f**3 + 2*f**2 + 2*f + 4. Let y be h(-2). Let x = y + 40. What is the least common multiple of a and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000088798 rounded to seven dps?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 77, 113?\n\"Answer: 36*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - 31\/(-4). Let d = 9 - z. Suppose -3*b + d = -2. Is -1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 180 = 2*j + 172, 2*o + 13 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1284, 5, -9, -12.\nAnswer: -1284, -12, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 12*u**2 - 2142*u - 23120 = 0. What is u?\nAnswer: -17, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o - 85. Let g be t(-15). Suppose 0 = 60*c - 55*c - g. Which is smaller: c or 2\/275?\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let v(h) = -3 + 3 - 4*h**2 + 6*h**2. Give j(v(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -58.76, 0, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3465498 and 39057?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r. What is the derivative of 1 + 1 - s + 1 + r*s wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2607*c**2 + 97*c**3 + 90*c**5 + 21*c**6 + 3*c**3 + 12827*c**2 - 22*c**6 - 78*c**5 wrt c.\nAnswer: -120*c**3 + 720*c**2 + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 2*k**3 - 16*k**3 - 9*k.\nAnswer: -14*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 2, 0.1, -11, -0.4 in increasing order.\nAnswer: -60, -11, -0.4, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 25 = 9, 4*s - 2*y = 0. Suppose 2*x + 3*r = -x + 72, 3*r = s*x - 58. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 47. Determine m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -7*r**6\/120 + 3*r**4\/4 + 9*r**2. What is the second derivative of n(k) wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286985 = -20*u + 820475. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((10 - 15) + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*n = -39, 5*n = p - 16 - 5. Let m(s) = 6*s. Let d be m(p). What is the highest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/((-10)\/25). Let p = 18 - 13. Suppose -r*s = -p*w + 1, 3*w - 7 - 24 = 5*s. Is s bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**3 + 7*s**2 - 3*s**2 + 0 - 6*s**2 - 30 + 6 in the form k + o*s + w*s**2 + q*s**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 7. Suppose 121 = w + s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.17769 decades in millennia?\nAnswer: 0.6517769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5472 is divided by 425.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-89843*o**4 + 391*o**5 + 89843*o**4 + (-2*o + 2*o**3 + 2*o)*(-6*o**2 + o - o) + 2 - 2 - 2*o**5) + 4*o**5 + 0*o**5 - 3*o**5.\nAnswer: 755*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*h - 6, -2*l = 2*h + 31 - 29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/4 and 31\/996.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.091 or 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69776 = -3*d + o, -400*d + 2*o - 93008 = -404*d. What is the greatest common factor of d and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1658\/29 or -56?\nAnswer: -1658\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4\/((-12)\/3)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -702.314 + 690.3. Let p = -9.4 + -2.6. Let h = j - p. Round h to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213493?\nAnswer: 7, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + -14?\nAnswer: -14.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 5. Let t be f(-5). Solve t = 3*q - 11 - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 246.9, 65\/4, 19, -0.1, 6, -1\/4?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418683 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718819469 a multiple of 1365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19733502 divided by 6577834.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 - 58*g**3 - 3*g**2 + 56*g - 1 wrt g.\nAnswer: 36*g**2 - 348*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*u = -17, 117*u + 5 = 118*u. Solve -18 = -4*j - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -12 + -6 + (5 - -1) + 2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482463 to the power of 1\/2, to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 48 = 3*i, 5*l = 4*l + 2. Let n = 5 + -2. Solve 4*x - 3*w + 16 = -x, n*x + i = 4*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 1 = -8*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 7*b**6\/20 + 9*b**3\/2 + b**2 - 56. What is the first derivative of j(t) wrt t?\nAnswer: 126*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8181 - 8180. Which is bigger: m or 655.5?\nAnswer: 655.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 289 - 92 + 0*h**2 - 2*h**2 in the form t*h**2 + j + s*h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4483535.\nAnswer: 5, 7, 53, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 601 - 601 - 28*y in the form n + u*y and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 824 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 34 = -3*y, 2*y = 5*a + 7*y + 45. Let n = a - -8. Does n = 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 126 = 4*p. Suppose 3*s + 28 = 5*s. What is the greatest common factor of s and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11571168.8600506 - -11571174. Let y = -5.14 + a. Round y to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41198*(0 - -5)\/(-10) - 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -5c?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.643 + -0.643. Let p = 1 - 0.9. What is the closest to p in 0.2, a, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to -5160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -1.27 (b) 6 (c) -0.0519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q - 323 = 397 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -276.797 * -0.5.\nAnswer: 138.3985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695013117?\nAnswer: 3, 231671039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -r + 5*r. Let l be (10 + -6)*r\/(-8). Let i(s) = s**3 - 4*s**2 + s + 1. Calculate i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 + 196\/10. Let m(u) = -u**3 - 2*u**2 + u + 4. Let c be m(-3). Calculate the greatest common divisor of d and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 - -101?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15552 (base 6) to base 2\nAnswer: 101000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1419, 5089, 11209, 19785, 30823, 44329, 60309?\nAnswer: 78769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 3*d**6\/25 + 39*d**5\/50 + 21*d**4\/10 + 3*d**3 + 12*d**2\/5 + 2*d + 43. What is f in k(f) = 0?\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.1. Let f(x) = -3*x + 8. Let w be f(4). Which is the nearest to 2\/5? (a) m (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28222 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 7*i + 8. Let r be h(-6). Suppose -4*a + 4 = -r*a. Let s be -2*(21\/(-6) + 3). Solve -s = -z - 0, -a*m = -2*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:25 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -0.36, 1\/4, -316, -1?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5684*c**2*g**2 + 13*c**2*g - 3731884*c*g**2 wrt c.\nAnswer: -11368*g**2 + 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3\/3 + 4*p**2 + 14*p + 5. Let m be h(10). Let o be (-4500)\/1*560\/m. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 42*k - 134. Let p be l(-4). Solve 80\/9 - 2\/9*b**p + 4*b = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -192, -191, -192, -195, -200, -207?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 42 = -x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, h: 2, g: 7}. What is prob of sequence gg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048632 divided by 6?\nAnswer: 174772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - 3*c + 4. Let p be a(-4). Differentiate p + 6*w**3 - 1 - 3*w**3 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y + 4. Let x be q(3). Let w = 70 + -72.01. Let g = w - -0.01. Which is the second biggest value? (a) x (b) g (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18 = t + 5, 0 = 4*t - 5*s + 17. Suppose 511 - 43 = 3*r. Calculate the lowest common multiple of r and t.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -43*i - 5. Suppose 4*t = 3*g + 18, g = 20 - 14. Let u(w) = 21*w + 2. Determine t*u(o) + 4*s(o).\nAnswer: 17*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 123 + -103 + 104 + -91\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v + 198 - 97 - 8*v - 101 + 4498*v**2)*(-13*v - 21*v + 8*v) to w*v**3 + o*v**2 + h*v + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a centimeter in millimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374556, 749103, 1123664, 1498245, 1872852, 2247491?\nAnswer: 2622168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine fifths of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1100011?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let u = -2.93 - 0.07. Let t = 393\/5 + -79. Which is the closest to l? (a) u (b) t (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 - 34 = -5*z, 5*z - 2*o - 60 = 0. Let u be (-2)\/(-5) + (-44)\/z. Sort 5, -1, u in decreasing order.\nAnswer: 5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 3087.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8829509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 143, 131, 115, 95, 71?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 5*y, 2*q - 7*q + 5*y = 60. Let x(m) = -48*m + 129. Does 17 divide x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 0*j**4 + 0*j + 0*j**3 + 2 + 1\/5*j**5 + 3\/2*j**2. Find the second derivative of g(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 2*h - 2*h**2 + 103 - 97 as k*h**2 + v + l*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let j(w) = 51*w**2 + 7*w. Give j(q(a)).\nAnswer: 51*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203367 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 + 94 - 30) + (1 - -15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3300*c**3 - 56108*c**2 - 198136*c - 480 = 0.\nAnswer: -12, -5, -2\/825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -64*t**3 + 4*t**2 + 15*t + 81. What are the prime factors of o(-5)?\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21172297 a multiple of 874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 9. What is the remainder when 15 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:29 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187993*f**2 - 231493*f.\nAnswer: 375986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5*u**3 - 1842*j**4*u + j**2*u**2 + 164*j*u**3 + 5*j*u wrt j?\nAnswer: 120*j**2*u**3 - 44208*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/18*(32\/6)\/(-1). Let z(j) = -6*j. Let u(q) = 0*q + 0*q - 2*q. Calculate t*u(x) - 3*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 5 + 9)*(-99*q + 20 - 20).\nAnswer: 693*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 16. Let m be k(-6). Suppose b - m = -3. What is the remainder when 32 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*b - 27*b - 780 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2*g**3\/9 + 17*g**2\/3 - 20*g - 7. Find k such that z(k) = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(539))**2*3 + -5 + (sqrt(121) - -1*-2*sqrt(121))\/(sqrt(44)\/sqrt(4)*4).\nAnswer: -sqrt(11)\/4 + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117306 is divided by 11729.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -15 - 210\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013659.\nAnswer: 17, 59627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 10 - 32. Let y(k) = -6*k**2 - 14*k. Let i(l) = 2 - 5*l - 2 - 2*l**2. Determine d*i(c) + 5*y(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1526\/9, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z - 980. Let b be s(-41). Calculate the highest common factor of 20 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -413747 + 0?\nAnswer: -413747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024459252 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let p(q) = q**3 - 2*q**2 + 2*q + 1. Let z be p(2). Let b be (-2)\/(6\/(-3)) + 2. Let i(u) = b*u**2 - z*u**2 + u**2. Determine r(i(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2236\nAnswer: -11180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 - 7 = 0. Let h(l) = -l + m*l - l. Let f(p) = 1 - 2*p - 1. Give f(h(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -113, -223, -333?\n\"Answer: -110*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*f - 53 = 5, -2*a + 124 = 4*f. Sort 1, -5, a in increasing order.\nAnswer: -5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f\/(f**(-10)\/f))\/f))*f**(-2\/29)*f)\/((f\/f**(-23))\/f*f**(-7)))**13 assuming f is positive.\nAnswer: f**(-1534\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1604 (base 16) to base 9.\nAnswer: -7652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -18*b - 17. Does 25 divide n(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*c + 21, 5*c - 3*x - 2*x = 0. What is the smallest common multiple of ((-140)\/84)\/(1\/(-3)) and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 147440, 147436, 147432, 147428, 147424?\n\"Answer: -4*j + 147444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-24)*(-4)\/(-10). Let p = 1370 - 4108\/3. What is the second biggest value in -7, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 9. What is the highest common factor of r and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose -2*v - v + 12 = q. Solve -4*u + v = 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(1 + sqrt(208) + 3) + -2.\nAnswer: -12*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79804025*m*w**3 - 2*m*w**2 + 3*m*w + m - 155*w**2 + 7153*w - 3 wrt w.\nAnswer: 478824150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*s + 6 = 2*p, 2*s = -4*p + 18. Find t, given that 15*t**4 - 6*t**4 - 165*t**p + 3*t**5 + 12 + 162*t**3 - 21*t**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 395 - 57. Let n = x - 290. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553139737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5073 is divided by 717.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000744156584 to seven decimal places.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:59 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctcytcttyylccycyt. What is prob of picking 2 t, 1 l, and 1 c?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*c + 78, 0*m + 4*c = 3*m + 71. Let g = -1.13 + 1.23. What is the third biggest value in m, -1\/4, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22017385 and -0.9.\nAnswer: -0.198156465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 913, 3748, 8473, 15088, 23593?\n\"Answer: 945*c**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74890 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/5006 + -20051\/45054. What is the closest to 0.07 in 0.5, z, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-30) - 228\/10. Let g = y + 43. Solve -g = -0*n - 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/5)\/((-4)\/(-35)))\/2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -205952.4 to the nearest 1000.\nAnswer: -206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 4:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 15*g + 59. Calculate the lowest common multiple of 11 and r(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = -n - 652, -3*n = -4*g + 1952. What is the third smallest value in n, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 1.05. Let z = 10.25 + p. Let l = z - 10.0000002. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(-27 - 1). Suppose 4*i - 1 = -2*t + i, -4*i - v = -5*t. Suppose t*m = m + 5. Let j(h) = h**3 - 6*h**2 + 3*h + 6. Calculate j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6340, 6338, 6336?\nAnswer: 6334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-21)\/63*(1 - -2)). Is (-18)\/(54\/(-7))*(n - -11770) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmm when four letters picked without replacement from ttmttttttmtttmtt?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxq when three letters picked without replacement from {r: 2, z: 1, l: 1, q: 4, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 4, 5, 0.05, 2044?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4142 + 6294. Suppose 0 = s - 5*g - 1319, 4*s - 3099 = -5*g + l. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/11 (b) 1 (c) -1\/7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11310301221 (base 4) in base 13?\nAnswer: 415cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jizsiosiiioizs. Give prob of picking 2 o.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.75, 1, -20, -4, 9, 0, 2?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.6216 and 4.1536.\nAnswer: 5.7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - w - 2)*(w + 14*w - 5*w)*(5 - 6 + 8) to g*w + k*w**2 + y and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by (-12)\/(-16)*2*8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (-2 + 0 + sqrt(325))) + 5 + 1*(-6*1*sqrt(325) + sqrt(325)))**2 + -4.\nAnswer: -350*sqrt(13) + 8170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -14 (c) -0.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1899*t + 386*t - 1 + 1 - 567*t)*(16*t - t + 10*t) in the form r*t + o*t**2 + f and give o.\nAnswer: -52000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:56 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 5. Let j be m(2). Let s(b) be the first derivative of 1\/3*b**3 - 1\/2*b**2 + 0*b - j. What is the second derivative of s(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33879535 and 13626?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 m when four letters picked without replacement from zmzqazpqvazaam?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176389, 705543, 1587465, 2822155, 4409613?\nAnswer: 6349839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.1 and 0.283?\nAnswer: -5.9713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 212 + (8\/(-4) - (-2 + -3)). Determine n, given that 38*n**3 + 180*n**5 + 22 - d*n**2 - 22 - 10 + 225*n**4 - 133*n**3 - 85*n = 0.\nAnswer: -1, -2\/3, -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300 + -291. Suppose 0 = -0*y - y + 25. Calculate the remainder when y is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -51\/334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/(-98))\/(-1 + 16\/28). Let g = 2 - -3. Sort -4, x, g in ascending order.\nAnswer: -4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130302 (base 4) to base 6.\nAnswer: -43254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/14)\/(18\/(-63)). Suppose 82 + x = -5*j. Let r be j\/88*2\/(-5). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5438688 and 12207?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.4 + 0.03?\nAnswer: -57.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/15*(-24)\/(-160)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -22. Let x = 24 - d. Let n(u) = -u**3 - 7*u**2 - 9*u - 9. Let r be n(-6). What is the greatest common factor of r and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 30. What is the closest to -1 in c, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -481, -1249, -13, -3\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3349 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -110*b + 90. Let y(x) = x**3 - 4*x**2 - 118*x - 10. Let o be y(-9). Let q(j) = j**2 - j + 4. Let h(i) = o*r(i) - 5*q(i). Factor h(s).\nAnswer: -5*(s - 22)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457*v - 1461*v = 10 + 34 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256808 + 256794. Let o = 39 - 116\/3. Which is the nearest to -0.2? (a) j (b) o (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369394?\nAnswer: 2, 191, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3303 + 1132?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2054 - -6957. Let n = -8898.14 + w. Let b = -115 + n. Round b to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 42152912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -31.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 55 + 98 = 0. Suppose 4*p - p - x = -t, -6 = -3*t. Solve -6 = -p*n - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 60*h + 11. Let b be 4\/(-22) - 1083\/(-209). List the prime factors of l(b).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*b**3 + 36*b**2 + 39*b**2 - 75*b**2 - 25*b**3.\nAnswer: 177*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25245067557 less than -24.5?\nAnswer: -24.75245067557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 r when three letters picked without replacement from {r: 2, s: 7, a: 1, w: 1, m: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 15) to base 8.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 501, 931, 1485, 2163, 2965, 3891?\nAnswer: 4941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l - 118 = -n - 74*l + 84*l + 145, -4*l = -16 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 15 - 16*k**2 + 14*k**2)*(-k**3 - 2*k**3 - 3*k**3).\nAnswer: 6*k**5 - 90*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 1, w: 2, y: 1}. Give prob of sequence ya.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 33 = -6*f + 3*v + 28, 11*f = v + 35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/51)\/((-1)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(140\/16))\/((-1)\/5). Factor -154*u**4 + 166*u**w - 48*u**2 - 8*u**3 + 3*u**5 + u - 33*u + u**5.\nAnswer: 4*u*(u - 2)*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 0.3 (c) -11\/6 (d) 2189 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:03 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbhr when four letters picked without replacement from aaalhralbhhaaalaabar?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmg when three letters picked without replacement from uumguumummmmgmmuuyup?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 35. Suppose t*n - 6*n = -6. Suppose -2*r = 2*r - 12. Solve 0 = -n*d - r - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 44 - 23)*(-2 + 51*c - 43*c + 1 + 1).\nAnswer: 200*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-55760)\/40)\/17 + 50\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4385230.96 - -21.\nAnswer: 4385251.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -7*q. What is the common denominator of -65\/18 and (788\/80 - 2 - q) + -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/9, 844, 0.154?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -2*b**5\/5 - 149*b**4\/6 + 5795*b**2\/2 + 14183*b. Differentiate v(h) wrt h.\nAnswer: -24*h**2 - 596*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57628924 divided by 28814462?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -21)*(2 + -1). Suppose 5*q = 5, 6*x + 4*q = x + t. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 105, 230, 407, 636, 917, 1250?\n\"Answer: 26*f**2 - 5*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = 3*o, -4*o - 4*n + 7 + 5 = 0. Is 4 a factor of 2\/(o*(-6)\/(-39))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/119 and -101\/98.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 19116?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 5.254?\nAnswer: 105.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4)*-2)\/((-1)\/(-58)). Let h(j) = j**3 - 27*j**2 - 40*j + 69. Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -6 + (-3 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2628, -5260, -7892?\n\"Answer: -2632*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -178*r - 2. Let f be l(-1). Calculate the greatest common divisor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3510 - -9588. Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(693)\/(sqrt(44)\/sqrt(4)))\/(sqrt(48)*2))\/(sqrt(27)\/(sqrt(45)\/sqrt(5)) - sqrt(135)\/sqrt(5)))**2.\nAnswer: -5*sqrt(7)\/8 + 6407\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:18 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 643206360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 8*b**2 - 6*b - 7. Let w be j(7). Factor 0 - 2\/5*g + w*g**2 + 2\/5*g**3.\nAnswer: 2*g*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48951685?\nAnswer: 5, 9790337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 - 1 - (-6 + -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 - 3*v**2 - 27*v + 5. Let b be k(5). Suppose 2*h - 33 = d, 3*h - 39 - 12 = d. What is the greatest common divisor of b and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121101*a**3 - 37890*a**2 - 2*a - 3 wrt a.\nAnswer: 726606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 37*z - 3575. Calculate l(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-578)\/(-34) - 7*(-3 + (-164)\/28).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -d5 (base 14) to base 8\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -32?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n - 760. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 1. Let n(h) = h**2 + 8*h - 4. Let c(p) = -n(p) - 3*y(p). Let v be c(-4). Suppose -b - v = -4. Which is greater: b or -5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(209)*1 - sqrt(209))*3 + sqrt(209) + -1*sqrt(209)*5)*-1)\/(sqrt(1331)*-5 - sqrt(99)\/(sqrt(9) - sqrt(441))))**2.\nAnswer: 10944\/108241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 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: 0\/(-1*(-1)\/1*-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*q - 5, -2*i = 7*q - 3*q - 2. Let x be 1 - (-26 + q) - 3. What is the tens digit of 28*(x\/(-4))\/(-2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let v(g) be the first derivative of -3*g**2\/2 + 3*g - 9. Suppose -5*m = -6 + 1. Give m*v(t) - 2*z(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*39\/(-15)*129\/43.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 1635 = -3027. Let t = w - -508. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:27 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4005652 and 6685.\nAnswer: 20028260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:37 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*i**2*n**3 + i**2*n - 7*i*n**6 - i*n**2 - n**2 + 3630*n wrt n.\nAnswer: -2100*i**2 - 840*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + 18*v**2 - 67*v. Let d be r(-33). Solve -2*w = d*g - 6, 0 = -2*g + 3*w - 6*w + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45)\/((-5)\/(-15*1))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 38, -3 in decreasing order.\nAnswer: 38, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 16 = 2*t. What is the lowest common multiple of 52 and t?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -108369203, -108369202, -108369201, -108369200, -108369199, -108369198?\n\"Answer: q - 108369204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -678992, -1357970, -2036944, -2715914, -3394880, -4073842?\n\"Answer: 2*y**2 - 678984*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-2\/3)\/n)*n*(n**(-2\/25)*n)\/n assuming n is positive.\nAnswer: n**(194\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*i + 6 = 0, -2*i - 48 = 5*s - 100. Suppose -s*r + 202 = -188. What is the highest common factor of r and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17255.\nAnswer: 5, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 20, -2, -5 in descending order.\nAnswer: 20, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 5*i + 2634 = -0*u + 2624, -5*i = 8*u + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 377446432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 13*m + 8 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -4\/35?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 409, -4, -1, 6\/7 in increasing order.\nAnswer: -4, -1, 6\/7, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.76 - -1.8. Let o = l + -0.17. Round o to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -288348521 and -288348523 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10470 and 6?\nAnswer: 10464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/45 + (-12640)\/600 + 32\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 + -275. Calculate the greatest common divisor of 56 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4987563l in millilitres?\nAnswer: 498.7563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 7316400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/(-126)*(-30)\/(-10)*3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.9*0.3.\nAnswer: 9.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 29 = -35. Let t = i + 10. Let c(l) = l**3 + 7*l**2 + 3*l - 7. What are the prime factors of c(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819 and 17199.\nAnswer: 17199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 651456677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/12 - 11*g**4\/12 - 97*g**3\/6 - 227*g**2. What is the first derivative of j(o) wrt o?\nAnswer: 10*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6.96 (b) 9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5*-230\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.92 + 8.98. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 4*s + 4*s + (17*s + 61 - 61)*(-4 + 0 + 0) to the form h*s + l and give h.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - b - 5*b = 81 + 117 + 4, 4*b + 123 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -124*f**4\/3 - 2471*f**3 + 16997*f**2\/3 - 1096*f - 124\/3 = 0?\nAnswer: -62, -1\/31, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/(-47)*-1*1*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -20, 2 in increasing order.\nAnswer: -20, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*(-4 + 1*sqrt(2057)*-1))**2*-5 + 1)*-5.\nAnswer: -414590 - 17600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 2. Let a be o(-2). Suppose -j = -c - 74, 91 = -5*j - a*c + 440. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 22*a**2 - 591*a + 105. Let m be z(27). Calculate the highest common factor of m and 252.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-87)\/(-6) - 2\/(-4) is divided by 2\/(((-4)\/9)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 309 - 125. List the prime factors of p.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*w = p + 3, -w + 3 = -2*p. Which is the biggest value? (a) -1\/5 (b) p (c) 38 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 4, b: 6, n: 4}. What is prob of sequence bib?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 32*m - 12. Suppose 204*u = 80 + 124. Calculate s(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(4)\/(sqrt(10)\/sqrt(5)) + sqrt(2) + 4 + 1 + sqrt(2) + 3).\nAnswer: -40 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7857 = 4*m - 6111. Suppose 0 = s + 8*s - m. List the prime factors of s.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-3 - (-10)\/(-5). Let c = 11 + s. Is 34\/c*(23 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let h(u) = -10*u. Calculate -12*f(s) - h(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 23 - (174 - -120 - 185).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 4. Calculate r(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6375\/15479 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 3:25 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from zxxtazczcfctxzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.06, 0.4271, -96 in descending order.\nAnswer: 0.4271, 0.07, 0.06, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4152.0176 - 0.0176. Let s = l + -4151.94397. Let v = -0.0536 + s. What is v rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73940 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -419*h + 31887. Give g(76).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j = 31*j + 122*j - 18*j - 4700 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let y(j) = 747*j**2. Determine t(y(z)).\nAnswer: 747*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 2. Suppose -5*a = a - 6. Let w be n(a). Differentiate -19 + 157*q**w - 325*q**2 + 158*q**2 with respect to q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/3*54\/18. Let u(c) = -6*c - 2. Let k be (-2)\/(-3)*-1*6. Let r be u(k). What is the highest common factor of r and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 4*y - 1. Let l be f(2). Suppose -3*w = l*q - q + 4, -2 = -4*q - w. Let s be 3 - (q - 1) - -17. Solve z + 4*z - s = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228872 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -19.1\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -1.6, 2\/5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8386 = -3*s - 5*k, 0 = 4*s + 4*k - 8388. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 + 16*w**3 - 5*w**3 - 4*w**3 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (1*(sqrt(162) + sqrt(162) + 4) + sqrt(162)))*3 + sqrt(162) + (sqrt(162) + (sqrt(162) - -2*sqrt(162)))*4 + -5 + 4)**2.\nAnswer: -2574*sqrt(2) + 19771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 341*w - 129. Let l be a(62). Is l <= 5637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 + 8*v - 5. Let j be p(6). Suppose -3*x + 44 = 4*g, -x = j - 3. Calculate the least common multiple of 16 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117694470497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/27*((-3440)\/(-900) - (-6)\/(-27)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -0.1, 74, 5\/11, 1\/39?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q - 1. Let k(o) = -75*o + 2. Let z(c) = -k(c) + 5*w(c). Let l(r) = 4*r. Determine l(z(g)).\nAnswer: 20*g - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 13*l**2 + l - 1. Let t be o(13). Let f(w) = -1 + 0*w**2 + 2 + w**2 - 12*w. Let c be f(t). What is the highest common divisor of c and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203 - -233. Is ((-8025)\/10 - -4)\/((-3)\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let m(d) be the second derivative of 36*d**3 - 459*d. Calculate m(z(c)).\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (0 + -3)) + -847 + 829?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 113*g + 4*g - 33*g + 0 + 1 to the form c*g + v and give c.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/210 - 14*r**6\/75 - 3*r**5\/5 - r**4\/30 + 59*r**3\/30 + 3*r**2 + 2*r + 36. Determine z, given that y(z) = 0.\nAnswer: -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27922 is divided by 27913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 22828300?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*q**3 + 157*q**3 + 189*q**3 + 19*q**3 - 31*q**3 - 77*q**3.\nAnswer: 350*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.59089 rounded to 1 dp?\nAnswer: 215.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 11:11 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036918?\nAnswer: 2, 13, 157, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3306 or -3761?\nAnswer: -3306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 958386.5 kilometers?\nAnswer: 958386500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 2*s + 0*s - 6*s - 43.\nAnswer: 2*s - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -39*n**2\/2 + 627897*n\/4 + 12075\/2 = 0.\nAnswer: -1\/26, 8050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 108 = -0*o + 4*u, 0 = o - 2*u + 17 + 5 + 14 - 14 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318269 is divided by 318242.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 12222021?\nAnswer: -12222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (1 + -1 + sqrt(567))) + -2 + 2*-5*((sqrt(7)*-3 + sqrt(7))*-5 + sqrt(7)) + -4)**2.\nAnswer: 1320*sqrt(7) + 84736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1437 + -3067. Let g = -986 - b. Suppose 2*h - 6*h = -g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - c**3 + 29*c - 13*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d - d + 3*w, w = 3*d - 11. Suppose 5*b = -d*a + 1380, 4*a = -3*b + b + 546. Suppose h - 4*c - 51 = 0, -4*h - c - 58 = -b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, f: 6}. What is prob of picking 1 j and 1 f?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-506)\/(-264))\/((-9)\/108)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + (sqrt(468) - (sqrt(468) + -1))*3)**2 + -1*(-3 + sqrt(468)).\nAnswer: 30*sqrt(13) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1904*t**5 + 2103*t**2 - 2 + 7 - 587*t**2 - 7 wrt t.\nAnswer: -114240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - f - 3*f + 0*f - 2*f + f + (f + 1 - 1)*(2 + 1 - 5) + 0*f - 2*f + 0*f - 2*f + 3*f - 6*f)*(3 - 3 + 2*f) to n*f + p + z*f**2 and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -3*g**8\/112 + g**4\/4 + 6*g**2. What is the second derivative of j(i) wrt i?\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 8784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 5, 327, 0.5, 45, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(216\/(-78))*9)\/(2\/8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:25 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 13 + 22 = 0. Let c(z) = 50*z**3 - 16*z - 7. Let d(q) = -25*q**3 + 8*q + 4. Let k(y) = p*d(y) + 4*c(y). Find the second derivative of k(u) wrt u.\nAnswer: 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 15. Let m = 2 + a. Let f(l) = l**2 - 2*l - 6. Let r(u) = u**2 - 2*u - 5. Give m*f(d) + 6*r(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 68*t**2. Let z(b) = -b. Give z(x(r)).\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43891501145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 80*v + 1983368 = -2687076. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -6, 1 in descending order.\nAnswer: 1, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34ade4 + -2b?\nAnswer: -34ae0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32857.\nAnswer: 11, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 0*k)*(1 + 7*k**2 - 1) + (k**2 - 2*k**2 + 3*k**2)*(-2*k - 2*k + 6*k) + 8720 - 97*k**3 - 8720 + (2*k**2 + 0*k + 0*k)*(1 - 2*k - 1).\nAnswer: -104*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4547 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2210 + 3952. Which is bigger: 1741 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -2\/11, 870, 0.3, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27009466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -123001?\nAnswer: 123031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -24723 smaller than -1.9089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 155\/4. Let o be (-1)\/(-4) + 2\/(-8). Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -46 + 41 + -41.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -207703 (base 8) to base 15\nAnswer: -15931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(-2\/27)*f**(-6\/5)*(f*f*f\/f**(-1\/31))\/f**(-18) assuming f is positive.\nAnswer: f**(91678\/4185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**8*q)\/q)\/(q\/(q*q**(-1\/11))))**32 assuming q is positive.\nAnswer: q**(2784\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13928 - -7 - 2 - 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146579*z**2 - 3*z - 460049?\nAnswer: -293158*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.82 + -0.23. Let c = -7.59 + n. Let x = c + -2. Is -0.3 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5166, -15254, -32068, -55608?\n\"Answer: -3363*j**2 + j - 1804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*z**6 - 11*z**2 - 4 wrt z?\nAnswer: 13320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 3856*u + 7720.\nAnswer: -2*(u - 2)*(u + 1930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -26.4. Let o = 6.9 - 3.1. Let n = o - 0.8. Which is the second smallest value? (a) v (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 375263 less than or equal to 375263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 3*b**2 + 3*b - 5. Let s = -673 - -669. Give y(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-3 + 3 + 4*y)*(-42*y + 91*y - 19*y).\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -45d6 (base 14) in base 15?\nAnswer: -38e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 4. Let p = -48 + 84. Suppose -3 = d - 2*a, 4*d + 5*a - a - p = 0. Calculate w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/1035 + 88\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4528 - 4489. Calculate the remainder when 133 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 37*x - 11. Calculate the remainder when 4320 is divided by u(21).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5 = -1 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 129514*s**2 - 6471950*s + 80883750.\nAnswer: -2*(s - 64707)*(s - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.59921 - 13.6. Round h to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39\/8? (a) 0.2 (b) 0 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*y - 14, -7*y = -5*h - 2*y + 10. Solve h*z + 4 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4273\/2 + 2091. Let z(v) = v**3 - 2*v**2 - 6*v. Let t be z(5). Calculate the common denominator of l and t\/6 + (-1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {e: 1, q: 11, i: 1}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18755 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1023 + -2.8977. Which is the second smallest value? (a) -2\/5 (b) p (c) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 28 = -102*t + 98*t, w = 5*t + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + b + 3*b = -54, -2*b = -8. Solve 4*d = t - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*-1*sqrt(1584))**2 + sqrt(1584) + sqrt(1584) + (sqrt(1584)*2*3)**2) + -6*(sqrt(1584) + 0)**2*2*1.\nAnswer: 24*sqrt(11) + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**3 + x**2 - 1355*x - 1356. Calculate k(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 22 = -6*n + 4*n, 0 = 5*m - 5*n - 40 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.05616?\nAnswer: -0.33696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(0 + 0 - 3*d**3) + 1 + 0 - 2*d**3 + 0*d**3.\nAnswer: 4*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*g - 986 - 771, -337 = -g + 3*x. Let f = g + -214. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + 56 + 2 - 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(g - 2 + 2)*(14 - 14 + g**2 - g**3).\nAnswer: -g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*s - 5*q, q = 5*s - 0*s - 7. Let f(v) be the first derivative of -v - 2*v**2 + 0*v**2 - s + v**2. Differentiate f(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 8. Let p be a(-6). Let f(s) = -s - 12 - 13 - 20 + 3 + 40. Determine f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.075?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 372877.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 1712. Let d be x(0). Let u = -984 + d. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 494913*y**2 - 22*y - 535?\nAnswer: 989826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6387 + 6408. Calculate the remainder when 1235 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2 - m. Let x be n(-2). Suppose 4*w + x + 38 = 0. Let f = -10 - w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f - 9*f - 5*f + f**2 - 18*f**2 wrt f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11056981 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 20. Calculate the remainder when (-2)\/(45\/48 + -5 + 4) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + 17 + -8 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 3*s**2 + 0*s**2)*(-258 - 868 - 282)*(-3 - 3 + 4)*(2*s - 2 + 2) as b + h*s**3 + w*s**2 + c*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602024245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*p**3 - 2*i**3*p**2 - i**2*p - 23257*i*p**2 - 2*i*p + 728900*p**3 + 2 wrt p?\nAnswer: 12*i**3 + 4373400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48746359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 425372267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 583064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 2*k**2 - 87.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1375, -2745, -4105, -5455, -6795, -8125?\nAnswer: -9445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spmspspssmppm. Give prob of picking 1 p and 3 s.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 + 5*b. Let i(t) = -4*t**2 - 2*t. Let j(p) = -5*i(p) - 2*l(p). Let r(a) = 26*a. Determine j(r(v)).\nAnswer: 1352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjyjjjjjjjyjyryh. What is prob of picking 1 j, 1 r, and 2 y?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.008315*-0.06\nAnswer: -0.0004989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 1058 - 382. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*q - 2, -3 = -3*t - 0. What is the second biggest value in 5, -5\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242\/5 - 48. What is the smallest value in v, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 11 - 0. Let w(z) be the second derivative of z**4\/12 - 7*z**3\/6 - 6*z**2 - z. Does 16 divide w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 112, 327, 686, 1219, 1956?\n\"Answer: 5*x**3 + 27*x**2 - 15*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*l - 3 + (-27 + 27 + 2*l)*(-92 + 36 - 8).\nAnswer: -126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/9, -19 in increasing order.\nAnswer: -19, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 362.72 - 434.6032. Let v = 72 + u. Let d = v + -0.091. What is d rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -8 + (-4 - 2 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.1 (b) -0.9 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2899*m**3 + 2*m**2 - 2*m. Let a be g(1). Let k = -4940 + a. What is the hundreds digit of 1 - (-35)\/(-45) - k\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eko when three letters picked without replacement from jdkeojvjvjvjj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 95*i**2 - 198*i - 10074. What is w(-96)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2\/11, 0.2 in decreasing order.\nAnswer: 3, 0.2, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 3\/4 (b) -7 (c) 3\/5 (d) 14\/3 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -135 or -138?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/20 - (-56)\/(-32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/15 - (15\/(-4) + 1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 6 (b) 0.0498 (c) 1\/7 (d) 2\/7 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 15*y - 564 = 0. Is y a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**2 + 2*l - 1. What is the tens digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -859, 5, 8 in increasing order.\nAnswer: -859, -67, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2162 and 20727?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -283f2d + -72?\nAnswer: -283f9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.8 take away 15838467303?\nAnswer: -15838466434.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*1\/(-10))\/((-10582)\/(-6105)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.5. Let q be 525\/(-70) - (-3)\/2. Sort a, q, -0.1 in ascending order.\nAnswer: q, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11311 (base 4) to base 13.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/6*(10114\/24 - 57\/76).\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-35))\/((-44)\/14)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/i*i\/i**(-7))**(-27)\/((i*i**(1\/10))\/(i**10\/i))**(1\/9) assuming i is positive.\nAnswer: i**(-29081\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n + 1. Calculate v(3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1f8?\nAnswer: 1f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2112936, 2112905, 2112836, 2112717, 2112536, 2112281, 2111940, 2111501?\nAnswer: 2110952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 30225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c = -39*c - 3*i - 31, c - 30 = 5*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**4 - 80*i**3 + 735*i**2 - 1570*i + 920 = 0?\nAnswer: -23, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15762 and 87614.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*c**3 - 11619*c**2 + 31128*c - 20784.\nAnswer: -3*(c + 433)*(3*c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 2002833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 36 = 0. Suppose -3*t + l = -6. Solve 0 = t*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 divided by 19\nAnswer: 213\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1071 - 1053) + (-22 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owoo when four letters picked without replacement from {x: 2, m: 4, o: 5, w: 7}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 + 105237*a**2 - 4*a**4 - 105244*a**2 + 3*a**4 as c*a**3 + k*a + z*a**2 + p + d*a**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s**4 - 20705*s**3 - 3426615*s**2 - 156237120*s - 38845440 = 0 for s.\nAnswer: -843, -96, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44908307 and 35300?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 846 - 257 = -114 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4450845 - 40009489\/9. Let o = h - 5341. Calculate the common denominator of o and (78\/4*-6)\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856186897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19927591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Let r = 3\/7 + -1\/7. Let a = 12.938 + -16.938. What is the closest to r in a, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*o + 28*o + o**3 - 2*o**3 - 49*o as q + g*o + v*o**3 + d*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1175030114 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 + 195 + 637 = -41*s for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/102 and -19\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - a - a)*(0 - 3 + 2) - 23 - 6*a + 23 + 57*a - 187*a - 40*a as p + k*a and give k.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184861133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1612 + -1450. What is the highest common factor of 78 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2\/5 - 4*w\/5 - 24\/5 = 0. What is w?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 13\/2*r**3 + 0*r**4 + 0*r + 0*r**5 + 0 - 7\/24*r**6 + 27*r**2. Differentiate w(a) wrt a.\nAnswer: -105*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-5)\/j))\/j**(-2\/9))**3 assuming j is positive.\nAnswer: j**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 25 = 4*b, 9 = -5*b + 4*j + 39. What is the remainder when 49 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -m - 5*o, -3*m + 0*o + 27 = -3*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -41*s**2 + 26*s**2 + 21*s**2. Let w(h) be the first derivative of h**2 + 2. Give v(w(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {s: 2, r: 9, h: 1, z: 4, y: 1}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 70*f**3 - 4*f - 4. Let z(b) = 643*b + 15086. Let w be z(-23). Let u(d) = -5181*d**3 + 297*d + 297. Determine w*y(i) + 4*u(i).\nAnswer: 66*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 338909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*d**2)*(d - 10 - 17 - 81 - 158)*(-7*d + 0*d + d).\nAnswer: -12*d**4 + 3192*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4334795 and 2138.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-1\/4)*k)))**(-9\/14)\/(k**(-3)*(k*k*k*k**5\/k*k)\/k) assuming k is positive.\nAnswer: k**(-251\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 9 = -2*f, -5*u + 2844*f - 2839*f = -25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Let u be 15\/z*2\/(-10). Let g = 0.3 + 0.2. Which is the closest to -0.1? (a) -3\/8 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.99? (a) 0.25 (b) -3 (c) 27.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10203, -28638, -55313, -90228?\n\"Answer: -4120*s**2 - 6075*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9217791.9919075 and 0.1.\nAnswer: 9217792.0919075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) - 1*(-1*sqrt(135) - sqrt(135)))\/((sqrt(108) - ((sqrt(108) - (sqrt(108) - (sqrt(108) + (sqrt(108) - 3*sqrt(108))))) + sqrt(108)))*4).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/12 - 6)*(44\/(-40) + 114\/(-285)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 68, 2 in increasing order.\nAnswer: -5, 2, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -38. Let c = -18 - g. Calculate the least common multiple of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*13\/((-65)\/8). Suppose -3*c = l*c - 22. Solve -3*g + 2 = 4*t - 15, -c*t = -5*g - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972335 divided by -1.\nAnswer: 972335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 10 = 6*u. Suppose y = -u*y - 15. What is the closest to 2 in y, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**2 + 1 - 1\/24*j**4 + 0*j - 8\/3*j**3. What is v(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (5 - (10 + -13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w = 0. Suppose 4*v - 147 = -5*a - 6, w = -2*v + a + 53. Suppose 7 = 30*u - v*u. Is u at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:18 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -12.61\nAnswer: 3.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 18 = 32*u - 36*u, -5*u = v + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24\/109 - -325\/981. Let l = 13 + -3. Let d = 14 - l. Which is the smallest value? (a) d (b) -7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6202252 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43676 + 23652?\nAnswer: -20024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35658319627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 3 - 3)*(-3 - 2 + 3) + 3 - 2 - 7)*(138 - 138 - 14*v) in the form q*v + h and give q.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/224266 and 65\/32619?\nAnswer: 88136538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let v(p) = 19*p + 4. Suppose 0 = -3*h - 47 + 50. Let o be v(h). Let f(z) = -22*z + o*z + 28*z. Calculate f(y(t)).\nAnswer: -58*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-57)\/(-12) + 2)\/(6\/64). Let x be t\/21 - 12\/(-21). Solve -3 = x*j + w + 4, -5*w - 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 156*h**2 - 2986*h - 7775. Calculate d(-173).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 975*o - 47*o - 2274*o - 10273*o to the form r*o + n and give r.\nAnswer: -11619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654879820 divided by -4.\nAnswer: -163719955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1166*i + 2344*i - 1164*i - 5. Let c(f) = 13*f - 6. Let o(b) = -4*c(b) + 5*d(b). Let h(n) = 2*n**2. Calculate h(o(r)).\nAnswer: 648*r**2 - 72*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*m + 7*g - 6*g, -3*m + 26 = 4*g. Let h(n) = -n**3 + 9*n**2 + 11*n - 13. What is h(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 14*k**2 - 42*k - 211. Calculate w(-9).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. What is the closest to 0 in 1, 2\/33, r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127615765 to the power of 1\/2, to the nearest integer?\nAnswer: 11297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {s: 4, z: 2, l: 1, i: 2, h: 1, y: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -14, 2 in descending order.\nAnswer: 7, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38069?\nAnswer: 38069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -79*s - 64. Let q be d(-2). Let p be 13\/(-52)*q + (-1)\/2. Is p less than or equal to -76\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1205 - 992. Which is the third smallest value? (a) j (b) 4\/9 (c) -0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19688 and 310300?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -5. Let o = q + -13. Let z(a) = 3*a**3 - 5*a**2 - 3*a + 5. Let h be z(4). What is the highest common divisor of o and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601582854.\nAnswer: 2, 11, 53, 3946469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -877 - -7881. Is 38 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 21*h - 271, 8*v + h + 2*h = 19*v + 61 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 47. Suppose -j = -c - 3*c. Solve -2*x + 2*m - 5*m - 16 = 0, -c*x = -3*m + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -89, -141, -197, -257, -321, -389?\n\"Answer: -2*f**2 - 42*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 3\/4 (c) -29\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1, -1\/4, 5, -5, 622 in decreasing order.\nAnswer: 622, 5, 1\/4, -1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(-2\/5)\/x)**(-1\/13))**(-45)*(((x*x**(-2\/3))\/x)\/x**(-7))**(16\/5) assuming x is positive.\nAnswer: x**(5032\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*v - 13203 = 0, 2*l - 2*v = 5398 + 1186. What are the prime factors of l?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/43758 and -59\/15912.\nAnswer: 175032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -99. Let a be 14\/d - 38\/(-14). Solve 0 = -4*v + 4*h + 4, -a = -2*h - h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c*c**4)\/(((c**4*c)\/c)\/(c**5\/c)) assuming c is positive.\nAnswer: c**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**5\/20 - x**4\/12 + x**3\/6 + x**2\/2 - x + 9. Let w(o) = 2*o**3 + 6*o**2 - 6*o - 6. Determine 6*k(q) + w(q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**6*w)\/w*w)\/w*w)**(-2\/97)\/(w**(-18)*w\/(w\/(w**(-2\/47)\/w)*w)) assuming w is positive.\nAnswer: w**(90622\/4559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 649*c + 6656. Give p(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5805 is divided by 5803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8137*154.42.\nAnswer: -1256515.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.047648 < 4\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/((-2)\/(-8)). Suppose -8 - x = -j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2559 greater than or equal to 1.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 482523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 14 - 14)*(-8 - 2*b + 1 - 1).\nAnswer: 6*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 352.328 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 534, 2129, 4788, 8511, 13298, 19149?\n\"Answer: 532*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8761930.37 rounded to the nearest one thousand?\nAnswer: -8762000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26625, 26635, 26651, 26673?\nAnswer: 26701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 - 3*o**2 + o**2 - 3*o**2 as k*o**2 + w + i*o and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1 = -4*j, -j - 2*w + 22 = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -30. Let j = -11.6 - o. Let d = -0.6 - j. Put 3\/2, d, 5 in decreasing order.\nAnswer: 5, 3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 14) in base 8?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 4 + 4)*(0*y**2 + 3*y**2 + y**2) - 3*y**3 - 3 + 3 to the form j + l*y**2 + n*y + z*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 9 = q, -138*q - 139*q + 274*q = 22*s - 84 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2761 and -69.3.\nAnswer: 2691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6202 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -20*w**3 - 5*w**2 - w - 4. Let j be g(-4). Suppose -h - j = -0*h. What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tppwwu. What is prob of sequence upp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**2 - 359*k**2 - 344*k**2.\nAnswer: -672*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1141, 5, 4, 1, 2\/11 in increasing order.\nAnswer: -1\/1141, 2\/11, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(30) + sqrt(30))\/(sqrt(72)\/(sqrt(24)\/sqrt(2))).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i + u - 72, 0 = 3*i - 5*u - 54. Let j = -43 + i. Let f be j\/(-3)*(-15)\/(-10). Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2835*x**3 - x + 1001?\nAnswer: 17010*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 354, 355, 358, 363?\n\"Answer: k**2 - 2*k + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5479063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3433\/279 - 192\/31. Let p be (-83265)\/(-9) - (8 + (-196)\/21). Let a = 194266\/21 - p. Calculate the common denominator of a and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 4:35 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 989000 to the nearest ten thousand.\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 32*a**2 + 7*a - 3. Let h be (-1)\/(2 - 50\/26). Let t be n(h). Suppose g = -3*j + 1052, 2*g = 5*g - 4*j - t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*b + 8*b + 2 = 0, 5*q - 3*b + 7 = 0. Let j be (6 + -2 + -4)\/q. Which is greater: j or -26\/47?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237\/5 + -47. Suppose 64 - 34 = 6*i. Which is the biggest value? (a) i (b) -17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 105 - 97, a = 4*n - 836. What is the remainder when 1019 is divided by n?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + k**2 - 14*k - 14. What is the units digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osssoossososo. Give prob of picking 1 o and 1 s.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)\/((((q\/(q*q\/((q*q\/q**(-5))\/q)))\/q)\/q)\/q))\/(q**(-1\/2))**(6\/5) assuming q is positive.\nAnswer: q**(-81\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 19. Let l(z) = -z**2 - 17*z - 3. Let p be l(-16). Let c = p - m. Solve c = q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 18012219?\nAnswer: 18012219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 585*i**4 + 2*i**3 + 30204*i**2?\nAnswer: 14040*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28613 - 17877. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22350, 31321, 40292, 49263, 58234?\nAnswer: 67205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -234?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**3 - 5*n**2 + 5*n. Let w(r) = r**3 + r**2 - r. Let y = -14 - -15. Give y*o(m) + 5*w(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 501*d**3 + 137268*d**2 + 9401625*d - 112614.\nAnswer: 3*(d + 137)**2*(167*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 283, 522, 643, 586, 291, -302, -1253?\n\"Answer: -10*h**3 + h**2 + 306*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 9*l + 3. Let m be b(2). Let t(k) = 19*k + 144. Let d be t(m). Let r(x) = -x + 2. Determine r(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162817143999 minus 2161?\nAnswer: 162817141838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 513748273.6 to the nearest 10000.\nAnswer: 513750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25201 + -5?\nAnswer: 25152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*4*67\/(-938)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 - (-2 - -9)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27752683429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 328229639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 47510631*l\/2 - 2257260058018161\/4.\nAnswer: -(l + 47510631)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 - 1.3. Let f = 19 + -18.7. Let z = -167\/70 - 4\/35. Which is the closest to -1? (a) s (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -2*sqrt(110)*5)\/(sqrt(30)\/(sqrt(3) + sqrt(24)\/sqrt(8))).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104064 and 44544?\nAnswer: 12071424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.2. Let p be ((2\/9)\/((-184)\/(-7590)))\/(-1). Let d = -107\/12 - p. Which is the closest to d? (a) v (b) -6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 915 divide 413430855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 7*w. Suppose w*p = 4*p - 4. Solve -2*o + p = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10881821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-21 - -10) - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112.7 + 112.69363. What is m rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*p**3 - 1)*(-19*p**2 + 7*p**2 - 10*p**2 + (-p + 2*p + 0*p)*(3 + 2*p - 3)).\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-25 + (-13 - -27))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 367819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2 + (-168)\/80).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**5\/7 + 48144*i**4\/7 + 192672*i**3\/7.\nAnswer: -6*i**3*(i - 8028)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -6*n + 2*n. Let d = n + 56. Calculate the remainder when d is divided by (1\/3)\/(1\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -1\/2*y**3 + 0*y**2 + 100*y + 0. Let r(h) = -h**2 - 4*h. Give o(r(w)).\nAnswer: 3*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -3*k**6\/10 + k**3\/3 - 17*k**2. Find the first derivative of w(n) wrt n.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 12. Let q(t) = t**2 + 3*t - 10. Let m be q(-7). Let x = -13 + m. Solve 3*k + 3 = -2*r - 4, -5*r = d*k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 10, 13, 14, 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*q - 2*n, 5*n - 27 = -3*q - 0*n. Let z(k) = k - 10. Let i be z(q). Let s be (3 + -4)*i*-1. Let w(b) = 5*b + 1. Determine w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.19, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 80619*c\/5 - 4356342\/5.\nAnswer: (c - 80673)*(c + 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 39. Let o be v(-6). Suppose 0 = -7*n + 2*n + 4*r + 57, 2*n - o = 3*r. Calculate the remainder when 25 is divided by (14\/(-1))\/((-6)\/n*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - 54. Let u = -146 - g. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2106226 divided by 38\nAnswer: 55427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151989881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81228 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/2, -1\/7, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1162 or 8100?\nAnswer: -1162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, b: 1, x: 2, h: 1, j: 1}. Give prob of picking 1 r, 1 t, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.3 + -0.7. Let x = w + 8.6. Let f = 1 + -1.1. Which is the nearest to 2? (a) 1 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c7 + 269a?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 1109, 1664, 2219?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, 13, 3, -64 in increasing order.\nAnswer: -64, -18, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.3023 - 4.3. Round a to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)**1)**(-21\/2)*(q**2*((q*q\/q**0*q*q)\/q)\/q)\/(q\/(q\/q**(4\/9))*q**(-2\/11)) assuming q is positive.\nAnswer: q**(2449\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 380 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -16. Let q be t*(-4)\/8 - -3. Let d(s) = 4*s**2 - 2*s - 2. Let b be d(q). Solve -4*f - b = 2*y - 7*y, -3*y = -f - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000874 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = x, -5*x = -q - 19 - 43. Let p(h) = 4*h - 46. Let c be p(x). Solve -c*y = 4*r - 22, 2*y - 2 = 4*r - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/45 - 2 - 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 252*b + 4618. Calculate l(16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22523 is divided by 4238?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -22. Let u(m) = 2*m**3 - 12*m**2 + 2*m + 7. Calculate the remainder when 302 is divided by u(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 10:24 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times -572?\nAnswer: 80.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, and 2 u when four letters picked without replacement from jrtttujttutttttttut.\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2104 - 1015. Let n = w + -529. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1467 + 1636. Solve -119 = -48*t + o for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-202)\/(-6) - -3)*-6. What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 101*k**3 + 3*k**2 + 4*k + 4. Let w be t(-2). Let b be (w\/60)\/((-1)\/1350). Round b to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-136)\/24)\/(730\/1971)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11415*n + 1104 = -11553*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*g = 1436 - 28011, 5*u - 44285 = 5*g. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30495.4360112 - -4.5.\nAnswer: -30490.9360112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 2. Let g = -4849\/16 + 4057\/16. Find the common denominator of g and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (4 - 3)*0. Let o(j) = j**3 - 6*j**2 - 1. Let u be o(m). Sort u, 4, -5.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 12*s. Let k be f(-8). Let d = k - -32. Suppose n + n - 642 = d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by 1.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhvvvhphvhphhhhphl?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = -2*h + 352, -21*d + 10*d - 21*d - 4*h = 656 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4164010460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 + 39366*f + 590940 = 0?\nAnswer: -15, 19698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 - 3*b + 1. Let r be a(3). Let o = -11 + r. Let c = o + -5. Solve -2*k - 7 = -c*w, 0 = -k + 2*k - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 6*i - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.07 (c) -12 (d) -5.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354*d - 746*d - 140700 = 0 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 21*h - 11. Let p be d(20). Let g(f) = 11*f - f**2 - f - 3*f - 6 - p*f. Determine g(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.2 (c) 65 (d) 0 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 52.8?\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97645553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7799051, -7799027, -7799003, -7798979, -7798955?\n\"Answer: 24*v - 7799075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 25*l**3 - 619*l**2 + 619*l**2 to k*l**3 + g*l**2 + q + y*l and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13533132.\nAnswer: 2, 3, 43, 26227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1312981 or 1?\nAnswer: 1312981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 2812.2649?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(-10\/13)*j\/j**(-3\/10)*j*j**(2\/3) assuming j is positive.\nAnswer: j**(541\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = 3*r, -7*t + 3*t = -r - 1. Let c = 2 - -6. Let b = c - 5. Put r, 0, b in increasing order.\nAnswer: r, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 63*l**2 + 109*l**2 - 22*l**2 to w + j*l**2 + a*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*g - 4 = -g, -5*t - 5*g = 0. Let k(f) = 3*f + 1. Let q be k(1). Let i = t + q. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 5. Let x(i) = -3*i - 9. Determine -6*x(f) + 11*y(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-296569)\/(-11) + 8\/44. Let b be u\/15*(-15)\/(-18). Let o = -1502 + b. Calculate the common denominator of o and -131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109605, 109623, 109641, 109659, 109677, 109695?\nAnswer: 109713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l. Let k = 78 - 80. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 - 4*l**2 + 5*l**2)*(0*l - 2*l + 7*l)*(-2*l - 2*l + 2*l) + 0*l + 0*l - 3*l**4 to the form t*l + x + i*l**3 + n*l**2 + c*l**4 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350320 (base 11) to base 14.\nAnswer: -106c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, h: 9}. Give prob of picking 2 e.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 + 3*f - 4. Let q = 17 - 20. Let g be u(q). Suppose -g*j + 155 = v - 201, 368 = v + j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6 = 4*j, 3443*z = 3446*z + 3*j - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.39 and 0.092.\nAnswer: -0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*w - 190, 0 = -4*a - 3*w + 147. Solve 0 = -8*k + a - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/21)\/(4940\/(-1384)). Let y = 6362\/7 - 1240588\/1365. Let k = y + n. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -710 and 0.03.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**11*b**(-2\/23)*b assuming b is positive.\nAnswer: b**(-209\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*s + 3*d + 10, -4*s + 24 = -4*d. Solve -2 = -2*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 8 - 15 - 33*r + 9*r - 14*r**2 + 15.\nAnswer: -2*(r + 2)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 3615. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 55000 = 49*r. Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -6, 4, 399, -1.\nAnswer: -6, -5, -1, 0, 4, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 + 26*w - 14*w + w**2 + 289 - 9*w + 22.\nAnswer: w**2 + 3*w + 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -10 - 39) + 18 + 1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 84.589 milligrams?\nAnswer: 84589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-5)\/(-3))*-114. Suppose a + b = 13, -y + 12 = -4*a - b. What is the highest common divisor of 85 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*t - 0*o + 18, -4*o = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7000 and -29\/8820.\nAnswer: 441000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310442 (base 5) in base 14?\nAnswer: 24235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvwg. What is prob of sequence ggvw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194552, 194549, 194546, 194543, 194540, 194537?\n\"Answer: -3*u + 194555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -142. Let r = 80 - u. What is r rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201277, 201273, 201269, 201265, 201261, 201257?\nAnswer: 201253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*b**3 + 187*b + 66*b + 103*b.\nAnswer: -405*b**3 + 356*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let v(k) = 21*k - 1. Determine v(m(b)).\nAnswer: -21*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 65*w**2 + 994*w - 285. Let f be p(41). Let i be 7 + (1 - 3\/1). What is the greatest common divisor of f and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 20022?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25290, -25278, -25266, -25254, -25242, -25230?\n\"Answer: 12*l - 25302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**4\/24 + y**3\/3 + 24*y**2. Let i be 140\/(-18) - (-4)\/(-18). What is the units digit of v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 14. Let a(g) = g**2 - 84*g - 348. Let v be a(-4). Solve j - v*j + 12 = t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + (sqrt(297) + (-1*sqrt(297) + sqrt(297))*4 - sqrt(297)))*3)\/((sqrt(3564)*1 + sqrt(44))\/sqrt(4)).\nAnswer: 9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 + -2.8. Suppose -2*v + 2 = 4. Which is the nearest to v? (a) -0.1 (b) d (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121 - 1131061?\nAnswer: -1130640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxisq. Give prob of sequence sxi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -48*z**2 - 11*z + 1. Let d(p) = -143*p**2 - 38*p + 1. What is 2*d(x) - 7*t(x)?\nAnswer: 50*x**2 + x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/659 and -16\/8567?\nAnswer: 8567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.08 + 0.08. Let u = k - -8. Let r = 3.04 + -0.04. What is the nearest to u in r, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-56)\/12)\/(((-8)\/6)\/4) - -3. Solve -5 = -m*k + 22*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 487 and 479 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*h - 9*h**3 - 19*h + 66*h + 18*h.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 906701657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/576 and -32\/6459.\nAnswer: 1240128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -s - 11 + 28, 3*l = -s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/499 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35542805.\nAnswer: 5, 433, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, z: 1, m: 7}. Give prob of sequence mizm.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.68617 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8819\/30 + -1434\/5. Let i = -4880 - -10339\/2. Let u = i + -322. What is the common denominator of u and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + -10 + 9 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16 - 25*w**2 + 5*w**2 + 12*w**2 - 79*w + w**2. Determine p(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -13. Solve -3*t - j = 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40.5 and 85?\nAnswer: 125.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033126 is divided by 115?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 41963 = -57323. Calculate the highest common divisor of 832 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4510832 nanoseconds?\nAnswer: 0.0000004510832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -1. Suppose u*h = -h + 68. Let j = 52 - h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycuyyoycgyygyudyg. What is prob of sequence ycyu?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**6\/105 - u**5\/10 + 5*u**4\/14 - 3*u**3\/7 + 4*u - 3. Let q(d) be the first derivative of x(d). Solve q(a) = 0 for a.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 1, -5.11186 in increasing order.\nAnswer: -5.11186, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250*b**2 - 16*b**4 - 7*b**4 - 10*b**4 - 287*b**2 + 34*b**4 - 859 wrt b?\nAnswer: 4*b**3 - 1074*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20917 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13145*d**4 + 341785*d**3 - 841670*d**2 - 20189760*d + 23040 = 0. What is d?\nAnswer: -6, 3\/2629, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 477*c - 4 - 475*c + 2*c**3 - 3 + 2 + 14*c**2 - 5 in the form t*c + b*c**2 + y*c**3 + s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*d - 48*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/570 + q**4\/76 + 2*q**3\/57 - 16*q**2 + q. Determine m, given that j(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 1985 - 438 = 5011. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380994?\nAnswer: 2, 3, 63499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92132 = v - 2*c, v = -5*c + 8160 + 83965. What are the prime factors of v?\nAnswer: 2, 3, 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8805662\/3 or -2935221?\nAnswer: -2935221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**3 + 18*h**3 - 12*h**3 + 4*h**3.\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 16, 14, 8, -2, -16, -34?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 8 - 13) + 1 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -36622 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*x = -18, 0 = 2*o - 2*x + 5*x - 12. Suppose 18 = -4*z + d + 4, o*z = 4*d - 17. Which is the closest to -1? (a) z (b) 4 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2. Suppose -5*v = -4*p + 7, -2*p - 5*v + 6 = -5. Let q(b) be the second derivative of 3*b + 0 + 0*b**p + 0*b**2 - 1\/6*b**4. Determine h(q(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -81358*l. Let a(i) = -2*i. Calculate p(a(y)).\nAnswer: 162716*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2 and 87\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 229*m + 11775. Give i(-78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - 2\/(5\/(-2290)*4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-1\/11)))\/((o**(2\/7)\/o)\/o))\/(o*o*o**(-1\/6)\/o*(o\/o**(-3)*o*o)\/o)*((o**(-2)*o)\/(o*o**(-2)*o))**(-49) assuming o is positive.\nAnswer: o**(20777\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*p - 51, -33 = -3*b - 2*p + 127. Calculate the smallest common multiple of b and 99.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 4. Is 4 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185\/819 + -10\/63. Is j less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*n**6*y - 86*n**3*y - n**2 - 45*n*y - 4*y wrt n.\nAnswer: 4080*n**3*y - 516*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -857, -1284, -1709?\nAnswer: -2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2220 and 360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Solve y*t - 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 4 + 0*d + 3)*(9*d + 2*d + 0*d)*(-76 - 20*d + 76)*(1 + 0*d + 5*d - 3*d) in the form j*d**4 + r*d**2 + v + g*d**3 + x*d and give r.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 8*m**2 + 13*m - 21. Determine c(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, -2, 0.1, -0.3 in descending order.\nAnswer: 0.1, -0.3, -2, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*7*(-50)\/(-1575)*36?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/4 - 6*t**4 + 85*t**3\/4 - 51*t**2\/2 + 10*t = 0. What is t?\nAnswer: 0, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 11*z**2 + 4*z**4 + 11*z**2 + (-4*z - z + 4*z)*(4*z**3 + 0*z**3 - 3*z**3) + 0*z**4 - 5*z**4 + 4*z**4.\nAnswer: 2*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -91553 divided by -8323\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m. Let q be a(2). Suppose -179 = q*t - 827. Calculate the highest common divisor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -594 in descending order.\nAnswer: 4, 3, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 468. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 58998804*t**2 + 66530*t - 13306. Let y(j) = 13303*j**2 + 15*j - 3. What is 3*s(q) - 13306*y(q)?\nAnswer: -13306*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1826.\nAnswer: -9130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**3\/7 + 1840*f**2\/7 - 11148*f\/7 + 16776\/7 = 0.\nAnswer: -466, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -3*k**5\/10 - k**3\/6 + 2*k + 2. Let a(g) be the first derivative of m(g). Find the second derivative of a(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 4*v**2 + 4*v - 2. Let m(t) = -3*t**3 + 7*t**2 - 7*t + 3. Let b(a) = -5*h(a) - 3*m(a). Factor b(k).\nAnswer: -(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 44 = -3*k + 35, 0 = h + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 7*k**3 - 25*k**3 + 3*k**3 - 7*k**3 + 71*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4091915.073 to the nearest one hundred.\nAnswer: -4091900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4 in increasing order.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 - 328. Are -11 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13698, 26225, 38752, 51279?\nAnswer: 63806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/195 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117)*1 - sqrt(117)) + sqrt(117))\/((2*sqrt(90) - sqrt(90))\/sqrt(10)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 634705663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 981429 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 248010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 58. Let p = 46 - a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*g = -0 - 1, -3*g + 19 = 4*u. Suppose 5*f = 5*h - 20, -2*h - 3*f + 11 = -u*f. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + -0.08. Let k = 7.13 - h. Let f = k + -7.4. Is -1\/2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from djedjddj?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(-1))**(-22)\/(((b**(-6\/5)\/b)\/((b**1*b)\/b))\/((b\/b**(-2))\/b)**(-15)) assuming b is positive.\nAnswer: b**(-684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l**2. Let n = -84 + 88. Let j(g) = -6*g + 4. Let b be 11\/(-33) + 52\/(-6). Let z(x) = -13*x + 9. Let w(q) = b*j(q) + n*z(q). What is w(c(k))?\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006825823042 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(-115*n**2 + 115*n**2 - 61*n**5).\nAnswer: -183*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19026986.\nAnswer: 2, 11, 101, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.955717098 rounded to 4 dps?\nAnswer: -0.9557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from kavlooav?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 12*y + 26. Let o be f(6). Let m = o - 1875\/14. Is m less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + z - 5*z - 42, 0 = 5*y + 3*z - 164. Calculate the common denominator of (y\/4)\/((-28)\/24) and -1\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 = 6*q + 5*c, -4*c - 36 = -4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104768771?\nAnswer: 67, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 60. Let k be f(-14). Suppose 3*r + 34 = 4*c - 38, -4*c + 2*r + 68 = 0. Solve 0 = -4*d - k, b + 5*d + c = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, 5 in increasing order.\nAnswer: -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1342244 divided by -671122\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-9))\/((-2)\/4). Suppose 2*j = -l*j + 6. Suppose 3 - j = 2*n, -5*n = -2*d + 3. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*i = -654, 3*t - 4*i = 310 + 706. Calculate the remainder when t is divided by 123.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9310.788 kilometers in nanometers?\nAnswer: 9310788000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-3)\/(18\/15)). Let k(o) = o**3 + 6*o**2 + 2 + 3*o - o**2 + 0*o**2 + 0*o**n. List the prime factors of k(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/5)\/((-9)\/30). Let k(w) = -i*w + 7 - 1 + 2*w**2 + 4*w + 0. Calculate the remainder when 44 is divided by k(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37 and 9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 118 + 138)*(-4*f**2 + 0*f**2 + 3*f**2) + ((-4 + 4 - 1)*(2*f - 2*f - f) - 3*f - 2*f + 3*f)*(-6*f + 2*f + 5*f) - 4*f**2 - 3*f**2 + 5*f**2.\nAnswer: -97*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 2*v**2 - 3*v - 2. Calculate n(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 28 = 3*j - 183, -2*j - x = -103. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7947 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/9 + 2207800*a**2\/9 - 110386250*a\/9 + 153312500 = 0.\nAnswer: 25, 1103850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/72 and -127\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0 - 1\/2*p**3 + 3*p - 3*p**2. Calculate the least common multiple of 4 and m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -227, -350, -475, -596, -707?\n\"Answer: f**3 - 10*f**2 - 92*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 3, i: 6, s: 1, z: 5, p: 1}. Give prob of sequence mzm.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1686049725 rounded to four dps?\nAnswer: -0.1686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*m + 6*q + 5, 3*q = 3. Let t(l) = 4*l**2 + l - 3. Let r be t(m). What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*16\/40 - 0. Is n - -7 - (-33 + -1695) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 40 = -6*b. Let n(t) be the second derivative of t**4\/12 - 5*t**3\/3 + 2*t**2 - t. Let r be n(b). Which is bigger: 7 or r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13036961?\nAnswer: 7, 283, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3*3)\/1. Let c(r) = -7*r - 9. Let y(v) = v + 1. Calculate u*c(f) - 6*y(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1590)\/1113 - (-26162)\/7. What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 5*a**2 - 2*a - 4. Let t be z(3). Let r = 7 + t. Let c be (-3)\/r + (-1322)\/(-10). What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23268751 is divided by 1161.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*s - 2)*(2*s - 3*s + 2*s) + 285*s**2 + 445*s**2 + 26*s**2)*(-3*s**3 - s**3 + 5*s**3).\nAnswer: 754*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2465 - 2462. Let g be 18\/8 + 3\/(-12). Sort v, 5, g, 0.\nAnswer: 0, g, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16 + (2 + -4)\/(-2). Let q(u) = u**3 + 14*u**2 - 17*u - 14. Let k be q(l). Solve -3*n - 3 - 3 = 0, k = -3*r - 2*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2699219721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*o + 10, -p = -112*o + 114*o + 2. Let l be 2 + 14\/10 + -2. What is q in 16\/5*q**p - l*q**3 + 2\/5 - 11\/5*q = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 24.1. Let u = o + 3. Put 2, u, 2\/13 in decreasing order.\nAnswer: 2, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1374677796 + 4.\nAnswer: 1374677800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 4*y**3\/3 + 14*y - 17. What is the first derivative of k(n) wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18020 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -41*d**8\/48 + 47*d**4\/12 + d**3\/6 + 107*d**2. Find the second derivative of h(w) wrt w.\nAnswer: -5740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10688.177234 - -10662.977. Let j = m - -25.2. Round j to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/18 and -59\/175799772.\nAnswer: 175799772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -227.089075 and 1?\nAnswer: 228.089075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -50609194.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 3*p**2 - 3*p - 2. Let a(f) be the second derivative of -f**5\/20 + f**4\/6 - f**3\/3 - f**2\/2 - 7*f. Calculate -6*a(t) + 4*j(t).\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2544035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*((-4)\/(-6))\/(24\/441). Suppose 5*x - 43 = c, -11*c + n = 5*x - 9*c. Solve -5*d + x = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*c = -366*c + 26208 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/2 + 9*m**3\/2 - 4*m**2 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - (-5 - -5))*-6. Suppose -j*c - 13304 = -89372. List the prime factors of c.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -273, -500, -789, -1140, -1553, -2028?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**2 - 46*v - 596. Is 13 a factor of p(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 2*c + 14, -4*p - 13*c = -18*c - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*y + 409 + 634 + 1032 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*j**4 + 15*j**3 - 1189*j**2 + j wrt j?\nAnswer: 264*j + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22718 - -22738. Let k(o) be the first derivative of 0*o + s - 17*o**2 + 20\/3*o**3. Find the second derivative of k(b) wrt b.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1289 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + (11 - 21) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 4. Let h be y(-7). Suppose 4*a + h*s + 538 = 5*a, 2220 = 4*a + 5*s. What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11659, -23374, -35103, -46852, -58627?\nAnswer: -70434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7879793 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.85539 to two decimal places.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 421527685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 11 + 4)*(-8*g - 4*g + g).\nAnswer: 253*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.84 + 3.8. Let y = u + 0.04. Which is the nearest to y? (a) -1\/8 (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31 and -8.\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.088994279 + 3.\nAnswer: 3.088994279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -607*a**2 - 5*a - 14573 wrt a.\nAnswer: -1214*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - -96. Suppose -h = -2*o - 3*o. Calculate the lowest common multiple of o and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -68588596?\nAnswer: 5\/68588596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**3 + 3*b + 3. What is j(-2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473211 is divided by 1039?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5747, 11529, 17295, 23039, 28755?\n\"Answer: -v**3 - 2*v**2 + 5795*v - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(256) - sqrt(50)\/(sqrt(5) + sqrt(5)*-2))\/(-6*sqrt(1620)*2).\nAnswer: -sqrt(2)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2304)*1*5)\/((-1*(sqrt(300) + sqrt(300)*-3) - sqrt(300) - sqrt(300)) + sqrt(300)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*((-3*(4 + sqrt(171)*-4))**2 + -2).\nAnswer: -3456*sqrt(19) + 99063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1225\/119)\/5 + (-1 - 4\/4).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 4.1. Let g = 23202 - 23192. Sort s, -5, 2, g in descending order.\nAnswer: g, s, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14209 and 10622867?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 87*l**3 + 2*l**2 - 2*l. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100101111001 (base 2) to base 16\nAnswer: -979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 4200?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:01 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*r - 11, 1 = -i - 0. Let a(g) = 118*g + 1. Is a(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 24*r + 57. Let y be c(-26). What is the closest to -2 in y, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -7. Let i = f - -6.2. Let h = -664\/45 - -134\/9. What is the second biggest value in i, -1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4086134 meters in millimeters?\nAnswer: 408.6134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:03 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*g - 33*g. Solve -2*o - 2*y = g, o - 3*y - 6 = -2*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426197?\nAnswer: 3, 19, 131, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/35569088 and 97\/160?\nAnswer: 177845440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + 4*u - 1. Suppose 0*i - 5*i = -2*k - 9, 4*i = -5*k + 27. Suppose k*o + 12 = -o. Let y = -8 - o. Determine q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - 16.8. Let y = -31 - -11.99. Let s = y - r. Which is bigger: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -4 + sqrt(2))*-6 - (-1 + sqrt(162)))**2.\nAnswer: -1050*sqrt(2) + 1507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2539088.9 - 3.26.\nAnswer: -2539092.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950.665 rounded to the nearest integer?\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*-4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2897, -14, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11277, 22554, 33835, 45120?\nAnswer: 56409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 268315.1329 to the nearest 100.\nAnswer: 268300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 2*h**4 + 0*h**2 + (-h**2 + 4*h**2 - 2*h**2)*(-6*h**2 + 2*h**2 + 2*h**2) - 2*h**4 + 0*h**3 + 0*h**3 - h**4 + 0*h**4 - h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28.349 and -49274?\nAnswer: 49245.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-5 + 5 + 5*c + (-3*c - 2*c + 3*c)*(4 - 2 - 3) + 3*c - 6*c + 2*c + 3 + 2*c - 3).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00147724 to 6 decimal places.\nAnswer: -0.001477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 18*x**4 - 168*x**3 + 18*x**2 + 165*x = 0.\nAnswer: -5, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 1, u: 3, w: 2, r: 6}. Give prob of sequence yr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Let g(c) = 3*c**2 - 3*c - 2. Let a(z) = -z**2 - z - 1. Let w(v) = -2*a(v) - g(v). Give w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from xgxddxgddxw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15))**(-28\/3)*(v**(-4\/7)*v)**(34\/7) assuming v is positive.\nAnswer: v**(1846\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210625137, 2, -5.\nAnswer: -210625137, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-128052976.\nAnswer: -384158928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 + 2 = 0. What is 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 g = 21 - -1. Let a = g - 21.99986. What is a rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4085*v. Let y(h) = 413*h**2. Calculate y(i(d)).\nAnswer: 6891823925*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115545142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (0 - 14) + -2 + (-11 - -24).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2070 and 2300.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 3.257.\nAnswer: -0.9771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -56 - (3131 + -3101).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 102*h - 1. Let p(z) = -79*z + 1. Determine -6*p(l) - 5*r(l).\nAnswer: -36*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)\/a)\/(((a*a*a*a**(-2\/5))\/a)\/a*a))\/(a\/(a\/a**(-2\/11))*a)**(-3\/16) assuming a is positive.\nAnswer: a**(-6553\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2511, 2, 63, 3, -1.\nAnswer: -1, 2, 3, 63, 2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 14. Let q = 12.174 - i. Round q to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851\/92 + -8 + 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.78 (b) 2\/3 (c) -0.012325 (d) 2 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:01 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -96*l + 95*l + 2, 0 = -0*p + 5*p + l + 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4423129.\nAnswer: 103, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*x + 2522 + 1170 = 700*x for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17877 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/19 (b) -0.4 (c) -1\/41 (d) -1\/8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 7. Let q(i) = i - 2. Let o(g) = -7*g + 11. Let b(t) = h*o(t) - 34*q(t). Calculate b(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 11. What is the remainder when u is divided by 1\/2 + 9\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 10. Solve -6*t + 11*t = -o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/36 + (-7)\/4. Let r(j) = -6*j**3 + 3*j**2 + j - 5. Let k(n) = -n**3 - n. Let m(b) = u*r(b) + 5*k(b). Determine m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14643 + -0.02643. Which is the nearest to 0.3? (a) -0.07 (b) -1 (c) g (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1620157*i**2 + 1921817*i - 2 wrt i?\nAnswer: -3240314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 308629 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*y + l - 746, 5*y - 3*l - 744 = 0. Let f be (-3696)\/36 + (-1)\/3. Let o = y + f. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 29. Let f be d(0). Let l = -27 - f. Solve 5*c + l*j - j = -18, -10 = -5*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57348230, -57348233, -57348238, -57348245, -57348254, -57348265?\n\"Answer: -p**2 - 57348229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111010100 (base 2) in base 10?\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 2\/21263 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 82\/7, -4\/31, -5, 3, 4 in ascending order.\nAnswer: -5, -4\/31, 0.4, 2, 3, 4, 82\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 e, and 1 q when four letters picked without replacement from rzzqernrzrxx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(6)\/sqrt(3) - (-2 + sqrt(2)*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2. Let j(l) = 4*l**2 + 0*l**2 + 4*l**2. Give j(c(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2. Let s(d) = 94*d**2 - 8*d + 7. Let b(r) = 51*r**2 - 4*r + 4. Let l(p) = -7*b(p) + 4*s(p). Give c(l(i)).\nAnswer: 1083*i**4 - 456*i**3 + 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.466631 to three decimal places.\nAnswer: -0.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3277*n + 1 - 17573*n + 4 - 5 in the form v*n + c and give v.\nAnswer: -14296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2707, 10469, 23397, 41485, 64727, 93117?\n\"Answer: -i**3 + 2589*i**2 + 2*i + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 2*k - 7. Calculate b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551808 is divided by 8900.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77696 and 49072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + p)*(-176*p + 176*p - 12*p**2 + (-2*p + 1 - 1)*(-3*p - 2*p + 3*p)).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(135)*-1)\/(sqrt(108) + (sqrt(108)*1 + sqrt(108) + sqrt(108))*6).\nAnswer: -sqrt(5)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4872 and 2688.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127120256 or 1652563332\/13?\nAnswer: 127120256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 164692 a multiple of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58147646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8\/5)*p**(-2\/21)\/p assuming p is positive.\nAnswer: p**(-283\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/((-945)\/342))\/(16\/168*28)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = h - 3*c, -4 + 5 = 3*h - 2*c. Let n be (2\/h)\/((-6)\/135). What is the highest common divisor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 6*m + 26 = 0, -5*n - 4*m - 42 + 63 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1511, -3690, -5865, -8036, -10203?\n\"Answer: 2*v**2 - 2185*v + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3615668, -7231356, -10847044, -14462732?\n\"Answer: -3615688*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 12:27 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 3*x - 2*x)*(38 + 12*x - 38 + (1 - 1 - 2*x)*(3 + 2 + 8)) in the form l*x + y*x**2 + i and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6296789 is divided by 121?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2044 by 146.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -148. Find the first derivative of -39 + 85*i**2 - 2*i**q - 16 - 86*i**2 wrt i.\nAnswer: -6*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 862921.1 centuries?\nAnswer: 86292.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -90 (c) 25 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvh when three letters picked without replacement from {w: 6, v: 1, h: 3, l: 1, g: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 + (0 + -16 - -11))) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125644704 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-650)*10)\/((21\/2)\/(-7))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1884 + 274?\nAnswer: 1b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - b589?\nAnswer: -b560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8.5. Let f = -71 - -65.3. Let g = -6 - f. What is the third smallest value in 0, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c**2 - 6*c + 2. Let b be k(4). Suppose i - b = -2. Suppose -5*m = -i*m. What is the closest to -1\/4 in -2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.0432 (c) 0.5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from xqamqxmaqaqp?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -25\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -1.3. Let i = -0.9 + j. What is the third biggest value in 1, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12461.\nAnswer: 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (-4)\/(4 - 2). Let n = k - -10. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 2, j: 1, g: 2, v: 1, u: 2}. Give prob of picking 1 v, 1 u, and 1 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001569783042 rounded to 7 dps?\nAnswer: 0.0015698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(112)*-2)\/(4*sqrt(8)*-2 - sqrt(8)))\/((sqrt(63) + (sqrt(567)*-2)\/sqrt(9))\/(sqrt(27)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -2 + 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*v = 2099*v + 15166 + 933 - 85919 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-50697)\/18)*2\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*p + n, -n = -p + 2*n + 15. Let x = 59 + -35. What is the highest common factor of x and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14)*-8*6\/(-144).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -p + 5*o, 3*o - 28 + 11 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-64)\/(-80))\/((-2)\/5). Let k be 7644\/13 - (-4)\/n. Suppose 0 = -2*c + 3*c - k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 3*y - 5*y + (5 - 2 - 1)*(y + 2*y - 2*y))*(-3*y - 12 + 12).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + z**2 - z - 1. Let v be (-10)\/((-1)\/(2 + -3)). Let k be (v\/6)\/(2\/(-6)). Suppose -k*i = -3*o + 5 - 15, 0 = -5*i + o + 10. What is f(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 30*b**2 - 176*b - 40. Let a be m(-35). Let d = -12 - -17. Put d, 7, a in descending order.\nAnswer: 7, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7. Suppose j = 4*o + 16, 3*i = -2*i + 4*o + 71. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - 81ed?\nAnswer: -8219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49918 + -749287\/15. Let y = m - -109\/5. Calculate the common denominator of (-2)\/(-11) + (-59)\/264 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -51, -1, -3 in descending order.\nAnswer: 4, -1, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 685872644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -20*k**4 + 38775*k**3\/2 - 9293535*k**2\/2 - 43889375*k\/2 + 17763375\/2 = 0.\nAnswer: -5, 3\/8, 469, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81433895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 2*w**3\/3 + 46*w. Let d(y) = y. Let h(t) = 14*d(t) - 4*m(t). Let f(x) = 51*x**2. Give f(h(s)).\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:59 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2590\/9 - -28436\/99. Which is the fifth biggest value? (a) 3 (b) p (c) -1 (d) 0.055 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2396862 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, g: 2}. Give prob of picking 3 x and 1 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0)*(-5 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -23.4?\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (295 - 297) + 19 + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = -2*v + 4*d, -6*v + 5*v = -3*d - 453. Suppose 2*z = 867 - v. Calculate the smallest common multiple of 27 and z.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5827*p**2 + 1938*p**2 + 1951*p**2 - 2*p**3 + 1960*p**2 - 12*p**3.\nAnswer: -14*p**3 + 22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 104 - 42 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*(48\/108 - (-501)\/27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2918 - -2936. Solve b*l - 4*l = -98 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Let q = 14 + i. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -273*t. Let v(x) = -101*x**2 + 168*x**2 - 60*x**2. Determine m(v(b)).\nAnswer: -1911*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29509, -57086, -84663, -112240?\nAnswer: -139817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/30 - i**4\/3 + i**3 + 36*i**2. Let y(b) = 0. What is b?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/120 - c**5\/10 - 4*c**3\/3 - 3*c**2. Let o(s) = -2*s + 18. Let b be o(12). Calculate t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/(-45))\/((-405)\/(-450))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 471\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 + 4*i - 1. Let w(k) = 6*k**2 - 3*k**2 - 1 + 5*k**2 - k**2 + 5*k. What is -5*h(p) + 4*w(p)?\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21550324 * -2\nAnswer: -43100648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 13*u - 11*u + 21*u - 35*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480484919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 8455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071.221 millilitres in litres?\nAnswer: 1.071221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 14*p**2 + 37*p - 317*p**4 - 17*p**2 + 4*p**3 + 319*p**4 in the form t*p**2 + d*p**4 + x + m*p + h*p**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 449, 0.06, 0.04, -0.05?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1037\/156 + 16\/13. Find the common denominator of 71\/40 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 36 = 7*o. Let m = o - -9. Solve -3*h - h - 4 = m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwyypyywwfn. What is prob of sequence fypf?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(-2\/19))**(3\/38)\/((o*(o**0\/o)\/o)**8*o**5*o*o*o**(1\/4)*o) assuming o is positive.\nAnswer: o**(-373\/1444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))**(-28)*l**3*l**6)\/((l**0)**(-14)*((l*l*(l*l**(1\/4))\/l*l)\/l)**(-48)) assuming l is positive.\nAnswer: l**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3641 and 7119684?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 289\/4996?\nAnswer: 289\/4996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.11952 and 0.2.\nAnswer: 0.623904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in 4.1, -15\/29, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*c**2 + 489*c + 2*c**2 - 2*c**3 - 493*c in the form o*c**3 + m*c + v*c**2 + n and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -61. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 + q + 1. Suppose 1551*a = 1555*a - 3*x + 34, 0 = -5*a + 4*x - 44. Let p(t) = -42*t**3 + 4*t**2 - 4*t - 4. Determine a*n(z) - p(z).\nAnswer: 38*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 773*k - 1574. What is n(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 12*g**2 - 13*g + 4. Let x be y(13). Let d(u) = -u**2 - 5*u + 8. Let z be d(-6). Which is the third biggest value? (a) z (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5306 = 2*f + 5304, -4*k + 5*k - 9*f + 67 = 0 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/((-84)\/(-630)). What is the second derivative of -5*z**5 + 4*z**5 + 7*z + 21*z**o - 13 + 22 - 9 wrt z?\nAnswer: -20*z**3 + 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109344910 to the power of 1\/2, to the nearest integer?\nAnswer: 10457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-1040))\/(4\/2)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + 1*-5. Let v(l) = 8*l - 7*l - 2 + 0 + 8. Let r be v(t). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.642 - 0.142. Let o = -5 + 3. Which is the smallest value? (a) p (b) o (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 155790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -645*q**2 + 1849*q + 44. Calculate w(3).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*b**2 + 439*b**2 + 437*b**2 - 1224*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 39. Let h = 57 + w. Let x = 26 - h. Solve 27 = -3*c - 5*z, -3*c + 4*c - 11 = x*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 54. What is the second derivative of -1291*p**3 + 27*p + 25*p**c - 1 + 1291*p**3 wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 6*j + 5. Let x be w(5). Let m be (4 - -16) + x + 1. Let k be -3 + (-3)\/((-9)\/21). Solve -5*f + m = -k*z, 0 = 2*z - 2*f - 0*f + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 40 = -24*y. Suppose -3*b - 12 = 0, 2*b = -2*z - 2*b + 14. Calculate the greatest common divisor of z and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1315 - 324?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (424 + -404)*1\/(-18)*(-6)\/(-50).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 97451.59mg?\nAnswer: 0.09745159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 + 1 - 230292*z + 230292*z.\nAnswer: 14*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140 + 111 - -5) + 84?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*f = -0 + 4, 4*r - f = 2. Suppose 3*w + q = -r, 5*w - 3*q - q = 4. Sort -4, w, 2.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 13. Give p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40660 - -40655. Let a(p) = -p**2 - 4*p - 19. What is a(x)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 29*o - 210. Calculate q(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + 19 + -26?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 17. Let i(r) = -r**2 - 5*r + 4. Let o be i(-6). Sort 10, o, p.\nAnswer: p, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + h**2 + 23*h**4 - 3*h**4 + 4*h**4 - 11 as y + g*h + f*h**4 + x*h**3 + p*h**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-10) + 9291\/815?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t*u**6 - 3*t*u**3 + 402*t*u + 40*u**4 + 35*u**2 wrt u?\nAnswer: -120*t*u**3 - 18*t + 960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1487*b**3 + 2043*b + 2 wrt b.\nAnswer: -8922*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/65, -0.07, 0.121, 2\/71?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -3*48\/36)*(-2*21)\/6?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -295, -393, -507, -643, -807, -1005?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 1494331080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8 - (-4 - 1)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 36, 22, -28, -126?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24375977*k**5*w**3 + 4657*k + 37*w**3 wrt k.\nAnswer: -487519540*k**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635736810 - 908106810. Round c to the nearest one million.\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 22?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6161384 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2\/2 - 4. Let n(u) = -4*u. Calculate k(n(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from kek.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37095 - 42076 = -780*k + 56639 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*p - 16317, 4*u - 4*p + 2420 = 18692. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 17, 11, 2, 6, 0 in decreasing order.\nAnswer: 17, 11, 6, 2, 0, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 2, r: 1, o: 4, k: 2, n: 2}. What is prob of picking 1 k and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11616412 and 46?\nAnswer: 267177476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -3. Solve -27 = 5*o - 5*r - 7, n = 4*o + 2*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 36. Suppose -2*l - l = t. Which is the closest to 2? (a) l (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -0*q. Let r(k) = 0*k**2 + 1 - k**2 + k**3 + 0*k**3. Let u be r(q). Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - (-1 - (15 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 17. Let h = -58 + k. Let x be (h - 0)\/(2\/((-8)\/6)). Solve -2*d + 9 = 3*y + x, 23 = 4*d - 3*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 1)*(0 - -2). Let p(v) = v**3 - 2*v**2 + 2. Let t be p(2). Let h be 12\/7 - t\/(-7). Solve -b - h = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/(-4) - 0)*-2. Let p = -10 + z. Solve 0 = 3*x - 4*i + 32, -16 - 11 = p*x - 3*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3729*h**2 - 160329*h + 774.\nAnswer: -3*(h + 43)*(1243*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 796142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 4811*w + 4811*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -49*k + 175. Let f(g) = -12*g + 44. Calculate 9*f(u) - 2*z(u).\nAnswer: -10*u + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:21 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:59 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -0.87. Let l = 0.4 - w. Which is the third biggest value? (a) l (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -2\/17, 23921 in descending order.\nAnswer: 23921, 30, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 8. Let k = -5 - m. What is the closest to k in -0.4, 0.5, 1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513957630?\nAnswer: 2, 5, 151395763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 2*k**2 + 2*k - 6. Let x = -3 - -7. Let t(b) = 0*b + 3*b**2 + 0 + b**3 + 5 - 3*b. Let l(m) = x*t(m) + 3*s(m). Factor l(d).\nAnswer: -2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - 4*p**2 - p + 3*p - 4*p. Let t = -5 + 3. Determine r(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/234 and (2\/32)\/(2184\/(-9240)).\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (1 + 1) - 0. Let y = 1 + w. Factor 2*u**2 + u**5 - 1 - 2*u**3 + 0*u**4 - u**y + 0 + u.\nAnswer: (u - 1)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.3 (b) 4\/3 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*x + 4*x - 47*x + 4 + 22*x**2 to the form a*x + v*x**2 + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x + 29 = m + 46*x, m - 23 = -4*x. Is -1\/3022 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:34 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/9 - 4638296*z\/9 + 4638308\/3.\nAnswer: -4*(z - 3)*(z + 1159577)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 - 81*n**4 - 798*n**3 + 2916*n**2 - 2040*n = 0 for n.\nAnswer: -10, 0, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 74. Let t(f) be the first derivative of f**2\/2 + 75. Calculate t(n(m)).\nAnswer: m**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1494 divided by -498\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3877, 2, 4, -16, 10 in ascending order.\nAnswer: -3877, -16, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 7*j**2 - 9*j - 4. Give c(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*w - 0*z - 4, 2*z = 4*w - 16. Let m = 33 - 22. Suppose -m = -2*k + 23. Let a(t) = -t - 4. Let q(d) = 3*d + 11. Calculate k*a(g) + w*q(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -7\/15, -2\/69, -0.1, 3, 5.\nAnswer: -7\/15, -0.1, -2\/69, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -52. Suppose a*g + 25 = 0, 0 = 4*x - x - 5*g - 403. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -4, -3 in increasing order.\nAnswer: -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -22, -64, -144, -274, -466, -732?\n\"Answer: -2*f**3 - f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1723135 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 24 = 2*i, -22*i - 14 = -19*i + 4*r. Solve i*u + 1 = 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46507.\nAnswer: 46507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 1058318?\nAnswer: -1058317.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-6)\/(-2) + -1. Let h = 0.08 - -26.92. Let s = h - 30. Sort s, -0.3, u in descending order.\nAnswer: u, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 + (-7)\/(7700\/860). Let c = -12 - -7. Put 1, c, p in ascending order.\nAnswer: c, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 592961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 13*l + 26. What is h(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p**2. Let u(z) = 300*z. Give u(l(y)).\nAnswer: 4500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*j**2 - 2*j**3 - 625*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 867 and 6.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5 - 1226786*y**4 + 12267784*y**3 - 29442646*y**2 + 26989079*y - 8587432 = 0.\nAnswer: 1, 7, 1226776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-276)\/(-27) - (-6)\/(-27). Suppose -5*w = -j - 5. Let v(z) = z + 5*z**2 - 3 + z - z**w + 0*z**2. Calculate v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-108)\/72)\/((-15)\/((-90)\/(-132)))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/63 and 25450287\/(-1273320) - (-21 - -1).\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*r - 22*r + 99*r)*((-1 + 3 - 3)*(4 - 3 - 7) + (0 - 2 + 0)*(-2 + 2 + 1) + 1 + 0 + 0) to o*r + z and give o.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 54) + (-1 - 0) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 6. Let s be c(-6). Let j = -9 + 14. Let p(g) = -j*g - 2*g + 8*g. What is p(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 2022\nAnswer: -202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*l + 60 = 0, 76*c + 5*l = 79*c - 1 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34634527 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + 5*g**2 - 4*g - 8. Let s(f) = 9*f**3 + 5*f**2 - 5*f - 11. Let n(z) = 5*m(z) - 4*s(z). Calculate n(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.095 - -63.195. Let r = -2343301\/168 + 13948. Let n = -3\/56 - r. Which is the smallest value? (a) 0 (b) q (c) 1\/4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 28534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -ea88?\nAnswer: -ea89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 144?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 386 (base 9) to base 11\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1 - 6. Let x = 11 - u. What is the remainder when ((-12)\/x)\/((-1)\/96) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (7 - 4))\/(3\/(-5 + 2)). Solve 424*b - 425*b + 5 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 + 146*b**2 + 3 - 3.\nAnswer: 158*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3c8 (base 15) to base 9\nAnswer: -1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/t**(2\/11))*t)*t**(3\/8)\/t)\/(t\/t**(1\/5)*t*t*t\/(t**(2\/5)*t)) assuming t is positive.\nAnswer: t**(-971\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12*s - 16*s = -17, 3*s - 9 = -2*y. Let v(m) be the first derivative of 6*m**3 + 3*m**2 + 14*m - 1. Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 2285*l**2 + 9163*l - 1. Give j(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebddkeri. Give prob of sequence rk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwlndulm. What is prob of picking 1 w, 1 d, 1 m, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + 0 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 + -3 - -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is bb3 (base 12) in base 5?\nAnswer: 23334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147977101 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-314*z**2 - 2*z + 0 - 1 + 333*z**2)*(3*z - 5*z + z) + (5*z - 2*z - 4*z)*(-3*z - 5*z**2 + 3*z) + 78 - 78 + z**3 as v*z**3 + m + x*z**2 + y*z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -43*w + 4. Let q be o(-4). Let k(l) = -2*l + 70. Let s be k(33). Suppose -328 = -2*v + s*n, v - 4*n - q = -6*n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1812810?\nAnswer: 2, 3, 5, 60427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*u - 140*u = 135*u + 1537 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235186646?\nAnswer: 2, 31, 3793333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 36, 75, 130, 201, 288?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1266 + 13404 = 21*x. Let u = 161 + x. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 238 = -228. Suppose 3*b - 3*i - 18 = -0*b, -5*i - 21 = -o*b. Let r be (b\/2)\/((-33)\/(-748)). Calculate the highest common factor of 136 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.5, 0.8, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, -83, -1 in decreasing order.\nAnswer: 323, -1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - d - 16 + 3.\nAnswer: -d - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 8. Let s(v) = -33*v + 1. Let k be s(d). What is the second derivative of k + 3*h**2 + h - 34 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -134. Let s = u + 5. Suppose 4*v - 64 = -2*n, n - 15 = -4*v + 25. What is the remainder when s is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 338 - 333. Sort -16, 4, -3, b in decreasing order.\nAnswer: 4, b, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 + 51*x**2 - 5*x - 34. List the prime factors of a(25).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -3a?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*g**4 + 0*g - 2 - 35*g**4 + 3*g**2 + 3*g to v*g**3 + w*g**2 + p*g + n*g**4 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 4*u - 5*u + (u - u - u)*(3 - 3 - 3) - 2*u - u + u as r + n*u and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(((-9)\/(-3))\/(-3)). Suppose v - 19 = -3*g + 3*v, f*g - 2*v - 14 = 0. Solve 0*z - g*z = 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.54. Let h = -4.04 - i. Which is the biggest value? (a) 5 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 + 1012?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0*n)\/n*n)**(-2\/47)\/(n**(-1))**10)**(13\/2) assuming n is positive.\nAnswer: n**(3042\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v**2 - 5*v + 37. What is the remainder when 1293 is divided by j(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(99)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -2, 18, 0 in descending order.\nAnswer: 18, 0, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 - 245.7. Let i = x + 49. Let f = -1.76 + i. What is f rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let x be ((-2)\/r)\/(2\/5). Let s(u) = -u**2 - 5*u + 6. Let f(i) = -i**2 - 7*i + 6. Let j(l) = -4*f(l) + 5*s(l). Calculate j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 526143?\nAnswer: -526150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15.2? (a) -2\/5 (b) 0.131497 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -601263.\nAnswer: -4\/601263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*m - 8 = 441*m + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -1134, -1227, -1358?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2900969*g**2*i - g**2 - 5693*g*i + 4*g + 133 wrt g.\nAnswer: -5801938*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c + -8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 532, 459, 408, 391, 420, 507, 664, 903?\n\"Answer: 2*i**3 - i**2 - 84*i + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 507894 or -0.03?\nAnswer: 507894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26, 2, 3 in decreasing order.\nAnswer: 26, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292686897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13032 - -1?\nAnswer: 13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -46342*o + 232173. Calculate n(5).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -14. What is the third smallest value in 4\/3, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5, 2*d = -2*f + 5 + 5. List the prime factors of -2 - (0 - (5 + f)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 2 (b) 25134 (c) 0.2 (d) -2\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let g(m) = -18*m**2 + 17*m**2 - 15*m**3 + 14*m**3. Let b(j) = -j**4 - 8*j**3 - 7*j**2. Let i(n) = s*b(n) + 6*g(n). Factor i(r).\nAnswer: r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615 + -616. Let k(r) be the first derivative of -11*r**4 - r**3\/3 - r**2 - r + 54. What is k(p)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.51, -3\/4, -3\/7, -3?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 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: What is 474 minutes before 12:57 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22572 or -22937?\nAnswer: -22937","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 16*x**4 + 684*x**3 - 1672*x**2 - 5440*x - 3072 = 0 for x.\nAnswer: -16, -1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.9 + 58. Let d = s + 0.9. Let z = d + 2. Which is the nearest to -1? (a) -2\/9 (b) 1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*((2 - 11) + 0). Suppose 9*i = 4*i - x. Is 5 a factor of (-6)\/i + 84\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503176.193 rounded to the nearest one thousand?\nAnswer: -503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 96*j - 1152.\nAnswer: -2*(j - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose -24 = 4*r - p*g, -3*r = -2*r + g - 3. Let q be ((-1)\/3)\/(6 - ((-381)\/(-54) + -1)). Sort r, q, 1.\nAnswer: r, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/53, 0.44, 1.1, -1928 in ascending order.\nAnswer: -1928, 2\/53, 0.44, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1749 + 0.167. Round i to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121573 (base 8) to base 9.\nAnswer: -513002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/7 (b) 2\/7 (c) 6068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -16948\/287 greater than or equal to -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682 - (-14)\/(-7) - 7.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.76. Let w = -0.14 + m. Let t = w + 0.4952. What is t rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d**2 - 1\/8*d**4 + 1\/120*d**5 + 0*d - 3 - 2\/3*d**3. Let w(c) be the third derivative of y(c). Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41, 86, 131?\n\"Answer: 45*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by -311?\nAnswer: -101\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u = 60*u - 184 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 38573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/28 - 3\/14. Which is the second smallest value? (a) -4\/5 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 6 - (-2 - -1) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 124*f + 185. Calculate the remainder when u(2) is divided by 142.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2 + j + 13*j**2 - 15*j**2 - 2*j**3 + 3*j**3. Let v be i(2). Solve v*l + 3 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y - 3*q + 14, -26 = -4*y - 2*q. What is the second derivative of -3*x + 9*x**2 - 9*x**2 + x**y wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -3. Suppose 2*k = h - 2. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15161b9 + 5?\nAnswer: 15161c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a + 189 = -0*a + 10*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 2*k. Let a(x) = 2*x**2 + 5*x. Let i(q) = -3*a(q) - 7*c(q). Let s = -41 + 44. Determine i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 5*b**2 + 15*b - 3. Let r be o(-2). Solve -3*u = g - r*g - 16, -4*g - 5*u = -12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4507733429?\nAnswer: 73, 61749773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5 + 85*i**4\/4 + 65*i**3\/6 + 6*i. Find h such that p(h) = 0.\nAnswer: -1\/4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 13. What is the derivative of 5 + v + 4*g**4 - 3*g**4 wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 3 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191\/2 - 98. What is the second biggest value in 2\/7, z, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/12 + -2*60\/(-9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:49 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -585 + 586. Put -7, p, 7 in ascending order.\nAnswer: -7, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6089353 is divided by 1014892.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 5*f**2 + 6*f**2 - 8*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let k = 0.1153 + 913.8847. Let p = k - 913.5. Which is the nearest to 0.1? (a) 3\/5 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 4*s + 0*s + 2*s - 2*s + s + (0*s + 0*s - 2*s)*(0 + 1 + 0) + 23*s + 0*s - 5*s + (5 - 3 + 0)*(2*s + 5*s - 4*s) - 2*s + 6*s + 2*s.\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -247?\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 903 + 5?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 17*k - 10. Let c be p(-18). Suppose -113 - 47 = -4*i. Calculate the highest common divisor of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 189. What is the highest common factor of l and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 68 = -4*n, 9*n - 7*n + 50 = 5*h. What is the lowest common multiple of 78 and h?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 701029, 1402385, 2103741, 2805097?\nAnswer: 3506453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**3\/6 + 88*u. Let f(r) = -3*r**2 - 2*r. Let t(p) = p**2 - p. Let c(n) = -f(n) + 3*t(n). Give k(c(x)).\nAnswer: 6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*c - 1938*c - 1120 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1648 and -10.21.\nAnswer: 16826.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 28*j - 83. Determine u(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*k + 47*k - 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.8 + 7.2. Let t = x + -38. Which is the closest to 0.2? (a) t (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 4 + 23*n**2 + 2 + 2*n. Let u be z(2). Suppose -u = -2*y - 0*y. What is the highest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/20 + s**4\/2 - 7*s**3\/6 + 7*s**2\/2 + 14*s + 8. What is a(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.5 (c) -0.0383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73087\/(-8162) - ((-1)\/4 + (-70)\/8)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 - -362. Let c = -29 + v. Is c a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.92 + -0.08. Let j be (12\/(-2))\/(3 - 5). Which is the nearest to -2? (a) j (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.5 (c) 1\/7 (d) 1\/8 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6))**2 + -5 + sqrt(7) - 2*sqrt(112).\nAnswer: -7*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f*f*f*f\/(f**(2\/5)\/f)*f)\/f*f))**(2\/3)*((((f*f**(-1)\/f)\/f)\/f)\/f)**(-5\/11))**(6\/29) assuming f is positive.\nAnswer: f**(-632\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/12 + 11*l**3\/3 - 56*l**2 + 3273*l + 2. What is y(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 14 = 2*p, -3*h - p + 6*p = 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d + 76*d - 150*d + 68 = 6*o, -5*o + 3*d + 63 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519146 is divided by 1136.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 41*a + 4 = 2*t + 38*a, -6*t - 3*a = -87 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-1 + 8\/6). Suppose 0 = -3*l + 2*l - 3*h + 9, j = 3*h - 9. Solve l = 5*q + 4*k + 31, -2*q - 2*k - 18 = k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiddhm. What is prob of sequence md?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r + 0*r**4 + 0 + 7\/30*r**5 - r**2 + 0*r**3. What are the prime factors of o(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 - 199. List the prime factors of 14 - b - -1*157.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = -5*d + o - 58, 6*o - 9 + 1 = -0*o - 2 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -24.9 (c) 1\/113 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:27 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -91. Suppose -g = -5*j - z, 5*g - 190 = -j - 75. Is 16 a factor of -2 + 0 + g*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2496*v**3 + v**2 + 352*v - 4?\nAnswer: -14976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4050*d - 725 = 4025*d. Let p(z) = z**3 + 4*z**2 + z + 5. Let r be p(-4). Solve -d = -10*b + r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = 12. Let f(s) = 4*s - 5*s + 0 + 4*s**2 - 7. Is f(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**4\/6 + 3*r**2\/2 + 23*r. Let x(s) = -s**2 - 2. Give -2*m(p) - 3*x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67\/7, 0, -1, -533\/5.\nAnswer: -533\/5, -1, 0, 67\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7693595 + 14.011.\nAnswer: -7693580.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3886 - 3885. Solve 5*r + i = 3*u, -6 = -5*u - 2*r + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2556.898 * 0.5\nAnswer: 1278.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 18 = -b, 10 = 2*j - 0*b - b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3185 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(6) + -3 + sqrt(7) + 0 - (3 + (3 + (sqrt(7) - (sqrt(112) + sqrt(7))) - sqrt(7))**2 + sqrt(7)).\nAnswer: -190 + 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264112.\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 28*u**2 + 5*u - 30. Let m be z(28). Let r = 2 - -1. Suppose 4*q + 5*i - m = 0, 2*q - 3*q - r*i + 31 = 0. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5614.\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -91*w + 2806. Calculate f(30).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h - 229*h**5 + 441*h**5 - 240*h**5 - 27*h + 2*h**2 wrt h.\nAnswer: -560*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(140)\/sqrt(5)*-3 + sqrt(28) + (sqrt(140)*3 - sqrt(140))\/sqrt(5))\/((sqrt(256) - (1*sqrt(256)*5 + sqrt(256)))*6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7706 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*f = 394*f + 63. Suppose 8*u - 6579 = -f*u. Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 8)\/(-4 - (-40)\/14).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86\/65 - 12\/13. Let u = -40033 - -40031. Which is the third biggest value? (a) 5 (b) 2 (c) y (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 516 = 2*c. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 - 191*c**2 + 205 - 106)*(2 - c - 2).\nAnswer: 191*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -96*s - 2688. Let d be o(-28). Let u(q) be the first derivative of 0*q**3 + d*q**2 + 13\/4*q**4 - 11 - 21*q. Find the first derivative of u(m) wrt m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 884194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-40)\/160)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1\/4))\/p)\/p)**(9\/5)\/(((p*p**(-3)*p)\/p)\/(p**0*p)) assuming p is positive.\nAnswer: p**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2)*-2*3. Let o = -9 - y. 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 12241 (base 15) in base 9?\nAnswer: 87357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -105.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 + -251. Find the second derivative of -44*l**j + 25 - 12 - 3 + 4*l - 4 wrt l.\nAnswer: -880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-2)\/((-4)\/(-214)). Let z = -548 + 551. Suppose -d = -8*w + z*w - 77, -5*w = d - v. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1000001?\nAnswer: 222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -544, -560, -590, -640, -716, -824, -970, -1160?\n\"Answer: -r**3 - r**2 - 6*r - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 13*r**2 - 16*r + 19. Let u be v(14). List the prime factors of ((-867)\/u)\/(2\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(13280\/(-2573))*3*(-24)\/9.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 - 22*n - 46 = 0. What is n?\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -20*s**3 - 9*s**2 + 13*s + 306. What is d(5)?\nAnswer: -2354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + 5 + (-3 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9496, -1, 10, -4, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 2*t - t + (2 - 17 - 9)*(3*t - 1 + 1) + 3*t - 3*t - t)*(-t**3 - 2*t**3 + t**3) in the form y + z*t**2 + o*t**3 + q*t + c*t**4 and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 1. Let m(p) be the second derivative of -3*p**4\/4 + 3*p**2 + 15*p - 1. What is -m(d) + 6*o(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101949418?\nAnswer: 2, 4457, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 50. Solve 5*w - w = c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:46 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45480 and 10233.\nAnswer: 409320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 4. Let n(f) = -5*f - 16*f + 0 - 5 - 17. Let w(a) = -11*k(a) - 2*n(a). Let g(v) = 3*v - 3. What is w(g(r))?\nAnswer: -6*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -656 - -690. Solve -y*x + 46*x = -24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z**3. Let n be q(1). Suppose -3*k - 6 = 0, -2*l + k + n - 62 = 0. Is (-2)\/(-2*(-1)\/l) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28258 and 2587.\nAnswer: 367354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 241511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174 + -189 - (-1 - (7 - -1))) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1\/(-2))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/9 - 1184*u\/9 + 175232\/9 = 0.\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.47 (b) 11273 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/55*25\/15 - (32 - 6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 1 + 3. Find d such that 3*d**2 - 110*d + d**z + 5*d**2 - 4*d**2 - 115 = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57494051*4\nAnswer: -229976204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 931865476 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/29 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-576)\/27)\/(-8))\/52.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwwrwwwwwrwww. Give prob of sequence wwr.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 + 0*2\/(-2). Let h = y - -111. Suppose -5*o - 34 = -h. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 931.297 micrometers?\nAnswer: 0.0931297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-108) + 4792\/18. What is the greatest common divisor of 190 and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1267 + 0.0414. Let j = 4.0853 + i. Which is the closest to -3? (a) 1 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*d - 4, 4 = -64*d + 61*d - 4*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793186380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83367, -158819, -234271, -309723, -385175, -460627?\nAnswer: -536079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 smaller than 2195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1334 - 1292 - (50 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 127\/3 - 2\/6. Suppose 2*c + z = 5*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p**2 - p**3 - 7879*p**5 + 9*p**4 + 7867*p**5 + 13*p**3 = 0. What is p?\nAnswer: -1, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 8*c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w = -238 + 138 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708944580 by 141788916.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2186, 1, 4, 5, -53 in descending order.\nAnswer: 5, 4, 1, -53, -2186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 38952.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175494 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 4, m: 4, e: 4}. Give prob of picking 1 m and 1 q.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 - 725 = -5*m - 103. What is the greatest common divisor of m and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**3 - 2*x**2 + 6*x + 15. Let q(h) = -13*h**3 - 5*h**2 + 13*h + 28. Let w(g) = -11*n(g) + 6*q(g). What is the hundreds digit of w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9545 - 0.2.\nAnswer: -9545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31440 (base 6) to base 12.\nAnswer: -2580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 0 + (-2)\/2. Let i be (-6160044)\/f + 2\/(-7). Suppose 2*g = -2*q + i, 12 = -0*g + 4*g. What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -321, -324, -329, -336, -345?\n\"Answer: -u**2 - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2. Let l(c) = -1722294*c. Calculate l(b(t)).\nAnswer: 3444588*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*f + 109 = 0, f - 209 = -4*x - 0*f. Suppose 2*n + 2*n = 4*a - 16, 5*n + 3*a + x = 0. What are the prime factors of (-6 + 3)\/(3\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*f - 3*z + 198 = 557*f, -258 = -4*f - z. Calculate the highest common factor of 320 and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -27*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/9 - 22\/9*t**2 + 184\/3*t.\nAnswer: -2*(t - 25)*(11*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1*((-279)\/18 - -11). Let t(y) = -y**2 - 10*y - 3. Calculate t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 44*o + 20*o.\nAnswer: 85*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 8*i - 21. Calculate the lowest common multiple of i and 152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-312)\/(-26))*10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 + b**2 - 5*b + 1. Let g(t) = 7*t**3 + 6*t - 2. Let d(c) = -5*g(c) - 6*i(c). Let j be 2\/8 + (-23)\/(-4). What is d(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/16038 and -63\/110?\nAnswer: 80190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*w - 1, p = -4*p - 2*w - 23. Let r be -4*((-23)\/4)\/(-1). Is 4 a factor of (-1)\/p - r\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.2 or 85\/12?\nAnswer: 85\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/3)\/(14862\/(-1854) + 8). Solve 7*v - 124 + l = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 4*r + r + 0*r + 2*r - r + (-1 + 0 - 1)*(-1 - r + 1) + 0 + r + 0 + 352 - 352 + 5*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -3)**2*-3.\nAnswer: -1116 + 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -841.6 + 496. Let s = 346 + t. Which is the third biggest value? (a) -1\/8 (b) s (c) -2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281\/3 - (-38)\/(-57)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4197?\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 13*o. Let m be t(10). Let s = -21 + m. Suppose j = -0*j + 27. What is the highest common factor of j and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + 4*t)*(-t - 5*t**2 + t)*(-104*t - 318 + 318).\nAnswer: 1040*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52597751*i**4 + 80*i**2 + 33975*i - 3 wrt i?\nAnswer: 1262346024*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t - 5. Calculate j(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 - -3655\/13. Which is the closest to 1\/2? (a) v (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let k(g) = -18732148*g**2. Give a(k(r)).\nAnswer: 56196444*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5861993834.\nAnswer: 2, 43, 68162719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9362204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 11928*w + 53353944.\nAnswer: 2*(w - 8946)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = -2, -3*p - q + 212 = 0. Let s be 6\/(((-40)\/p)\/(4\/(-14))). Solve -5*k - s*c = -23, 0*k + 5*c = 5*k - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k - 96 = 35*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1491 - 1507) + -2*8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2911818857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2, -3*p + 22 = -3*b - 2*b. What is the greatest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - v - 11 = 0, v + 19 = 5*f. Let z(h) = -h + 4. Let b be (-5)\/(-4) - (-1)\/(-4). Let i(d) = 2 - d + 2 + b. What is f*i(q) - 5*z(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 + -188. Solve 1\/4*x**q + 1\/4 - 1\/2*x = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 20*p**2 - 140. Let g(w) = -23*w - 28 + 4*w**2 + 16*w + 7*w. Let x(h) = 16*g(h) - 3*l(h). Differentiate x(m) wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/(-22))\/(2\/(-4)). Solve 0 = -2*h - z - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:39 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 1113*a - 1.\nAnswer: -1113*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -85*h + 45*h + 150 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i, -t - 2*i + 86 = t. Let b = t - 36. What is the first derivative of -11*j**b + 2 + 21*j**4 - 4 + 0 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(-1\/2)*u)\/u))\/(u\/(u\/(u**(-1\/3)\/u)))*u**(3\/7)\/(u\/u**(-5)))\/((u**0)**(-23))**(-8) assuming u is positive.\nAnswer: u**(-157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23969652206 and 1572.7?\nAnswer: 23969650633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(3*sqrt(9)))\/((sqrt(176) - sqrt(11))*5 - sqrt(11)).\nAnswer: sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (11 - 0 - 22) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/440 - (-18)\/60. What is the second smallest value in 20, -10, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*n - 5*n = 111, -4*n = -2*x + 48. Suppose x*g = 31*g - 29. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 20, 3, 4 in descending order.\nAnswer: 20, 4, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 8:12 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18957 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46 + 94*s**4 + 125 - 97*s**4 - 9*s**3 wrt s?\nAnswer: -12*s**3 - 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/4985, 5, 3, -2, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2930695 = -57*a - 551572. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735862941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -0*x. Is (6\/x)\/((-3)\/(-44)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268987 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9470011*o**2 - 9470011*o**2 - 8162*o**3 + (0 + 0 + o**2)*(-2 + 2 - o))*(-1 + 1 - 2*o)*(-3 - 2 + 3).\nAnswer: -32652*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2819 = -21*z + 2725. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 + (-15 - 253) + 53\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/4))**(-1\/21)*(o\/((o**(-1)\/o)\/o))**(1\/54))**(2\/7))**(-5\/12) assuming o is positive.\nAnswer: o**(-235\/31752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a + 89*a**4 + 229*a**2 - 227*a**2 - 104*a wrt a?\nAnswer: 2136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850001?\nAnswer: 7, 11, 37013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -47.5399043\nAnswer: -42.5399043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*s - 286*s = 2*b - 28, 8*s = 2*b + 2. Factor -28\/5*j + 4\/5*j**s + 0*j**2 - 24\/5.\nAnswer: 4*(j - 3)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 + 350 = -41*o - 279 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -2)*4 + -4 - ((-1 + sqrt(75) - sqrt(75)) + 5 + sqrt(75))*-4)**2.\nAnswer: 352*sqrt(3) + 5824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.15 - 0.15. Let k = u - 9.6. Let a = k + -1.4. What is the second biggest value in 6\/11, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.268 and -1070160.\nAnswer: -286802.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let z(s) = -2 + s**3 + 3*s**2 + 3*s - s**j + 2*s - 2*s**3. Determine z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m + 52*m + 32*m**2 - 25*m**2 + 27*m**2 = 0. Calculate m.\nAnswer: 0, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11890 divided by 58\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74227, -74232, -74249, -74284, -74343?\nAnswer: -74432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 152*v**2 + 598*v - 21. Calculate u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -101 - -58 - 117?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007113 rounded to 6 dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/93 and 61\/57.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 - 2*i + 4. Let k be (-2)\/4*(2 - -6). Let z = 1 - k. Suppose -4*v = -z*p + 2, 5*v - 1 = p - 14. What is a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.200131 - -17.2. What is b rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (3\/3)\/(-1). Let x = -83 + 85. What is the third derivative of 39*n**q - 10*n**x + 8*n**3 + 13*n**3 wrt n?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 16 = -b - 2*u, -b - 14*u + 19 = -8*u for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*g + 197*g - 281*g.\nAnswer: 64*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6. Let u(y) = y + 5. Let x(b) = 5*p(b) + 6*u(b). Let h(f) = 2*f. Calculate h(x(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000110100001100111001 (base 2) to base 10.\nAnswer: 10699577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9154 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 2*t + 2*t + 0*t + 2*t - 3*t + (-1 + 5 - 2)*(5*t - t - 5*t) - 156949*t - 1486*t + 19307*t - 99331*t - 29428*t - 451*t as y*t + s and give y.\nAnswer: -268340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 - 10*i**4\/3 - 59*i**3\/6 - 11*i**2\/2 - 10*i - 3. What are the prime factors of t(-39)?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9139)\/(-2) - 2\/4. Let a = -193 + 195. Suppose 0 = -2*c - 5*d + 1816, 0 = c + 4*c - a*d - y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)\/(j**(-2\/17)*j))\/(j**(3\/4)\/j*j**(-3\/5)) assuming j is positive.\nAnswer: j**(-203\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15022*z + 961422. Give h(-64).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 239789 rounded to the nearest 1000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/19 + 67006*q**2\/19 + 134004*q\/19 = 0 for q.\nAnswer: -33501, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 6. Calculate the remainder when v(5) is divided by 42\/(-4)*(-1 - (-4)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/5 - 24\/(-120). Which is the closest to p? (a) 0 (b) 7 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/15, 2180 in descending order.\nAnswer: 2180, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiabimiiaaaabbiba. What is prob of picking 1 i and 1 b?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjj when three letters picked without replacement from {c: 3, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4143421434 (base 5) in base 10?\nAnswer: -8576494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*f + 25 = 0, -6*h + 8*h = -3*f + 10. Let v be 17745\/1837720*479\/h. Let d = 2\/45943 - v. What is the common denominator of d and 37\/22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13008 divided by -33?\nAnswer: 4336\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2 - 6. Suppose -6 = -u + o. Calculate the lowest common multiple of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {u: 5, n: 2, g: 1, p: 8}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5210070 or 5210048?\nAnswer: 5210048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3823209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**3 + 0*j**5 - 2\/15*j**6 + 0 + 4*j + 0*j**2 - 1\/3*j**4. Find the third derivative of w(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bftt when four letters picked without replacement from {f: 2, t: 2, b: 8}.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 25. Let p(o) = -o - 13. Let u(k) = 15*p(k) + 6*v(k). Let m be u(-21). Suppose 4*n + n = 20, m = 4*r - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1665 = 5*j. Let m be 1\/(j\/(-726)) + -1. Let r = 4\/37 - m. Which is the second smallest value? (a) 2\/11 (b) -5\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 71*w**2 + 3*w + 82. Let d(i) = 284*i**2 + 14*i + 329. Let t(v) = -9*a(v) + 2*d(v). What is the second derivative of t(n) wrt n?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -58, -50, -14, 56, 166, 322?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u - 527 = 19 + 144 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 130*v**2 + 852*v + 68. Give f(-71).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 8*q - 24. Let k be f(10). Let i(a) = -a + 3. Let s(w) = 8 - w + 2 - 2*w. What is k*s(r) + 14*i(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = 4*q - 5, -2*y + 9 = 3*q. Solve 0*d**3 + d**4 + 0*d**3 - 4*d + 3*d**4 + y*d**2 - 12*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103912083 rounded to 6 dps?\nAnswer: -0.001039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -19*y + 5. What is m(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207.46 - 203.66. Sort 0.6, z, -1 in descending order.\nAnswer: z, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4\/3 + 13*o**3\/3.\nAnswer: -o**3*(5*o - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320) + -2 + sqrt(320) + (2 + sqrt(320)*-3 - sqrt(320)) + -2)**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - (-6)\/15. Suppose -3*d - 3*v - 1 + 7 = b, 4*v = 2*d - 4. Let o be (1\/1 + -1)\/(-1224 - -1223). Solve r + d*r + f + 3 = o, 5*f - 11 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:29 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*p**2 + 1)*(27*p + 457*p**2 + 0*p - 32*p).\nAnswer: -914*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 0*x + 0*x - 3 - 2*x + 2*x**2 in the form z*x**4 + k*x**2 + o + f*x + y*x**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/5 + 4*h\/5 - 2\/5 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 83*i + 561. Calculate q(88).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*26 - 483\/(-1518)*-44?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 55 = 11*m. Suppose -5*i = -5*q - 45, 0 = 3*q + m + 4. Which is smaller: i or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015341383 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709521.\nAnswer: 3, 236507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3232117 and -1441?\nAnswer: 3233558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 0*q + 0*q - 14*q**2. Suppose 3 = -5*d + d - 3*t, -5*t - 5 = -5*d. Let y(c) = -c + c - c - c + d. Give y(h(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12608\/(-10))\/((-4)\/(-25000)). Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -170364, -340739, -511110, -681483, -851864, -1022259?\n\"Answer: -i**3 + 8*i**2 - 170392*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -2731e?\nAnswer: -27312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.12 (b) 10 (c) -342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263227 is divided by 174.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:42 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 12*z - 10. Suppose -4*d + z*d = 15. Calculate the remainder when d is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 1.78671.\nAnswer: -0.21329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-129)\/215?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011 + 10001000010111?\nAnswer: 10001010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/20)\/((-12)\/48)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 993735563 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -0.16299\nAnswer: -5.70465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006802455 to seven dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15157899 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28050417 and 217656?\nAnswer: 224403336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Suppose -3*q - 1 + 7 = 0. Let r(y) = -1 - 1 + 4*y + q. Calculate j(r(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51072095, -51072096, -51072097?\nAnswer: -51072098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/6 + (-1)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-3 + 4)\/(-1). Suppose -4*v - 2*i + 206 = x, 0*v + 5*i - 115 = -2*v. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/30 + 4*q**2. Let x(a) = -3*a**2. Determine z(x(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/42*(-3 - -45)*52\/(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/42)\/(4\/(-36)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2 and -1 + 4 - 219\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnnn when four letters picked without replacement from nnnnnnngnnngngnnggg.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 13*q + 1. Let n be a(11). Let g be -2*1 - (n - -16). Solve 0 = -g*p - 2*s - 12, 4 = -6*p + p + 2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 459693 and -69.\nAnswer: -31718817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 293. Let x = t - 204. Sort -1, x, -0.1, 2.\nAnswer: -1, -0.1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134526 + -24?\nAnswer: -134552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*q, o - q - 90 + 88 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21\/13 - -131\/65. Suppose -4*t = -16, -3*r + 1 = 4*t - 12. Let s = -10 + 9.8. Which is the nearest to -0.1? (a) r (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 5*r - 19. What is l(8)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 65536774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -23. What is the remainder when 29 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708801 + 9*w - 708801 - 25*w + 10*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84145.\nAnswer: 5, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563, 815, 1067, 1319?\nAnswer: 1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 p when three letters picked without replacement from {u: 1, p: 2, j: 3, q: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20*8\/(-6)*(-10270)\/43134?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230506?\nAnswer: 2, 23, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose 5*v + 2 - 22 = 0. Let r be (-877)\/1754 - ((-26)\/4 + -2). Put c, r, v in increasing order.\nAnswer: c, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.966 - 0.034. Let v = 20.99999926 + o. Round v to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.108 to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5956 - 5956 + 26*z**2.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 23 = -25. Let r(c) = c - 1. Let h(y) = -6*y - 9. Let u(x) = t*r(x) + h(x). Let j be u(-3). What is the greatest common divisor of j and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14726334 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + 2\/(12\/30). Suppose t = 5*f - 22. Solve f = -2*j - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**3 - 2*k**2 + 6*k + 2. Let g(f) = 8*f**3 - 3*f**2 + 7*f + 1. Let o(w) = -4*c(w) + 3*g(w). Let q(j) = -3*j**3 - 2*j - 4. What is -2*o(b) + 3*q(b)?\nAnswer: -b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 + 126.5. Which is the third biggest value? (a) -0.3 (b) -7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.072? (a) -3 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -0, 3*a = -u - 23. Sort a, -2, -4 in decreasing order.\nAnswer: -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202288283?\nAnswer: 13, 169406791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let y(b) = -b**2. Let p(f) = 4*n(f) - 3*y(f). Let a(j) = -6 + 1124*j - 23 - 1121*j. Give a(p(m)).\nAnswer: -3*m**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 63. Let y = 95 - 64. Let v = -19 + y. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*k + 6, 0*k - 4*k = 2*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -64*b**2 + 396*b + 12. What is the remainder when 241 is divided by f(6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k**3 - 2 + 0*k**3)*(-11*k**2 + k**2 - 2*k**2).\nAnswer: -24*k**5 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttntewtwnjwnejt. Give prob of sequence wt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 1, j: 1, q: 6, e: 1}. What is prob of picking 4 r?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 5 = 29. Suppose -s - c*s = s. Suppose -5*i + 434 - 44 = s. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q - 119. Let b be v(-25). What is the greatest common divisor of 39 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - o + 10, -11*o = 13*o - 3*o + 105 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -5, -25, 2, 3 in increasing order.\nAnswer: -25, -5, 2, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/7 - 3*z**2 + 18*z\/7 = 0. What is z?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 9*m + 9*m**2 + 21*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.14 - -33.1. Let o = -4.79 - -1.79. What is the smallest value in j, o, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 14, 3, -8, -19?\n\"Answer: -11*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (117\/52)\/(-5 + 2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 51 = 5*g, -5*g = -3*l + 5*l - 59. Let h(q) = 5*q - 44. Let o be h(g). What is the greatest common factor of 55 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*d + 26, 4*r - 6*r - 5*d + 24 = 0. Let s(f) = -2*f - 2. What is s(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750790 is divided by 2511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3284.033 millimeters?\nAnswer: 3284033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 9. Let r be d(4). Suppose r*q + 3*u + 15588 = 188579, 5*u - 69185 = -2*q. Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 22*a. Let u be l(5). What are the prime factors of u - (0 - -1)*-1?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -32114 = -31855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 + 3)\/(-1))\/((-4)\/(-6)). Sort 0.03, 2\/15, j, -4 in ascending order.\nAnswer: -4, j, 0.03, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 13118?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1305058, 2610113, 3915166, 5220217, 6525266?\n\"Answer: -a**2 + 1305058*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-2) - -6)*-2*5. What is the units digit of (630\/g)\/((-2)\/240)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 + 218. Suppose 9 - p = -5*n. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1605 + 2698. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6331855991?\nAnswer: 37, 2203, 77681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-14) + 14495400\/840?\nAnswer: 5, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -593*t**2 - 2*t + 138. Let x(d) = 1188*d**2 + 5*d - 269. Let n(c) = -7*g(c) - 4*x(c). What is the second derivative of n(b) wrt b?\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.0065 (b) -10344 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7*6\/4. Let a be (-14)\/5*(105\/(-14))\/3. Suppose u - 2*u = -2*p, a = 5*p + u. Is p > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*d**4 - 2*d**3 + 458381*d**2 + 7*d + 6998596?\nAnswer: -384*d**2 - 12*d + 916762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*y - 118 = 0, -5*y - 45 - 58 = 3*w. Let i = -27 - w. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6278.2 + 6278. Which is the closest to 2\/5? (a) 1\/3 (b) -5\/18 (c) -1\/7 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 16. Let g be (-2 + 0)*8\/(-2). Let u(x) = -17*x + 14. Let q(i) = -6*i + 5. What is g*q(t) + w*u(t)?\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -9*u**3 - 474*u**2 - 771*u - 306 = 0.\nAnswer: -51, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 28?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 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: Let g be 2 - (2 + (-5 - -2)). Let k = g - -34. Let z = 443 + -372. What is the remainder when z is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4387751 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 315 and 0.2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13147, 26458, 39769, 53080?\nAnswer: 66391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6617, -12963, -19309, -25655?\nAnswer: -32001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3\/6 + 2*p**2 - 6*p. Give j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*o + 233625 = -2465*o - 1846*o - 2045*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -186 in increasing order.\nAnswer: -186, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*u**4 - 17*u**2 - 1 + 7*u**2 + 2 + u - 2*u**3 + 7*u**2 + u as g*u + d*u**2 + b + w*u**3 + v*u**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -6 + -8 + (1 - -24) - 3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 3*w**2 + w**2)*(-7*w - 12*w + 6*w).\nAnswer: 91*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*g - 14, g - 5*f - 6 = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z - 4*k + 15, -5*k = -20. Let w be z\/(-4) - (-72)\/(-32). What is the remainder when (31 - w)*(-15)\/(-9) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14915, -14917, -14919?\n\"Answer: -2*t - 14913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 3*p**2\/2 - 50*p + 17. Let u be l(16). Sort -1, 4, 1, u in increasing order.\nAnswer: u, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkks when four letters picked without replacement from {k: 5, s: 1, q: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118540420, -118540421, -118540422, -118540423?\n\"Answer: -d - 118540419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1042302115 + -130?\nAnswer: 1042301545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 1245.\nAnswer: 1245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537 is divided by 85?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:33 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -884\/7. Let y = 500 - 452.3. Let c = y - 48. What is the second smallest value in -0.5, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*h + 2302 = -4836 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = -2*n - 2, 0 = m - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 + 2. Let q = 112 - 117. Put q, i, 1\/9 in ascending order.\nAnswer: q, 1\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -5*p**4\/12 + 2*p**3\/3 + 5*p**2. Is 11 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 94. Let a be (w\/(-1))\/(6\/(4 - -2)). Sort -2, 37, a.\nAnswer: -2, a, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7620 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 8*v - 4. Let c be i(-7). Solve -l - 7 = -4*t, -3*t + c*l = -0 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5900049 and 117.\nAnswer: 76700637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16*746539\nAnswer: -11944624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 95*r**2 + 4*r - 7. Let l be v(-5). Let t = -5924 + l. Let k be 4\/14 + t\/(-28). What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 170?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**2\/2 + 7*s + 53. Determine f(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -12. Let t = -6 - z. Does t = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118946, -118947, -118948, -118949, -118950, -118951?\nAnswer: -118952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12611 divided by -4.\nAnswer: 12611\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006791125 rounded to 5 dps?\nAnswer: -0.00679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5358\/(-494))\/47)\/((-3)\/((-39)\/(-4))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -364 + 348.944. Let l = b - -15. Let m = 0.05563 + l. Round m to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 7*o**2 - 4*o + 3. Let m be s(5). Calculate the greatest common divisor of 99 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 307*p**2 - 71*p + 141. List the prime factors of o(2).\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 5\/1 - -6. Solve -14 = g*t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223307 is divided by 182?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -969 + 30693*d + 5*d**3 - 25*d**2 - 30698*d + 634*d**2 wrt d.\nAnswer: 30*d + 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3608613 and 8930.\nAnswer: 36086130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.6, -1.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782549 minus 147.57?\nAnswer: 1782401.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 14830 = -4*x - 10*s, x - 2*s = 3713. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -257664*d**2. Let l(j) = 461*j. Give n(l(m)).\nAnswer: -54759010944*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let p = 464 - 412. Let m(g) = 4 + 10 + g - 22 + p + 15. Determine m(j(t)).\nAnswer: 2*t**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 8)*4\/(-2). Let j be (w\/7)\/(4\/(-14)). Solve -3*l + j*l = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-4\/7))**(-35) assuming f is positive.\nAnswer: f**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krk when three letters picked without replacement from {k: 5, w: 3, e: 4, r: 5, h: 2}.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45469889 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*g**2*u**2 - 2347019*g**2 + 12387*g*u**2 wrt u.\nAnswer: -54*g**2*u + 24774*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 29 = 5*v - 3, -2*q - v = -46. What is the tens digit of (-40)\/220 + 24556\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.543 less than 1?\nAnswer: -0.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 2*z**2 + z - 1. Let n be s(-3). Let r = n - -18. Suppose -r - 39 = -u. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.6? (a) -1\/7 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*(sqrt(117) + 3) + sqrt(117) - (1 + sqrt(117) + 0))**2)*4.\nAnswer: 336*sqrt(13) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -313 + 679 - 368 + 13*q. Let f(g) = -g - 7. Let d be f(-5). Calculate m(d).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.3 (c) -1.6 (d) -17.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Suppose -u*h + 40 = -4. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 32*j + 1949. Give q(-59).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*c**2 - 257.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1599565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1376*v**3 + 1356*v**3 + 1333 - 2284*v**3 - v wrt v?\nAnswer: 1344*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 4. Let n be g(2). Let l(d) = 157*d**2 - 3*d - 3. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -352*m - 920. Determine s(2).\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939560 to the power of 1\/2, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010010100111100 (base 2) to base 8.\nAnswer: -322474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 23*x + 6103. Is r(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let a(l) = -l**2 + l. Let y = -3 + 2. Let c(x) = 6*x - 3993*x**2 + 0*x + 1 + 3987*x**2. Calculate b*a(o) + y*c(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27001182?\nAnswer: 2, 3, 13, 346169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-1))\/((-75)\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3024\/96)\/((-15)\/(-10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - 22 - (7 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 242*r**5\/15 - r**4\/8 + 65*r**3\/6 - 207*r**2 + 2. Find the second derivative of y(g) wrt g.\nAnswer: 1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3916 + 0.0084. Which is the closest to -2\/7? (a) 0.2 (b) 1\/4 (c) y (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55*-100.367\nAnswer: 55.20185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 565920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 9*q**5\/10 - q**4\/12 - q**3\/6 - 4*q**2. Is s(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 53*g + 24*g - 6 = -14*g - 18*g - 1, -4*p + 2*g = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10155203 + -1?\nAnswer: -10155204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, k: 3, h: 2}. What is prob of picking 2 k and 2 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889439966 to the power of 1\/2, to the nearest integer?\nAnswer: 43468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 5 = 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 3*k**2 - 5*k - 5. Let l(v) = -v - 1. Let a = -102 + 106. Suppose 23*q + a = -19. What is q*p(h) + 5*l(h)?\nAnswer: -2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20*z + 249. Determine q(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816614774.\nAnswer: 2, 408307387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 367*y**3. Let i(x) = -100925*x**3. Give -4*i(s) - 1101*l(s).\nAnswer: -367*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114024 (base 6) to base 8.\nAnswer: -23340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1770 and 9186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 37, -2, -3, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*t + 218 = 0, -t + 4*t = -4*m + 179. Let a = 156 - m. Let p = a - 30. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.935 - 0.065. Put -0.08, -0.4, r, 0.2 in ascending order.\nAnswer: r, -0.4, -0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4607 + 92099\/20. What is the common denominator of g and -27\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 + 1)*(2*j - 3*j - j + (2 - 1 + 2)*(j + 2*j - j) + 3*j + 0*j - j)*(11 - 10*j - 11).\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 252766 + 16?\nAnswer: 252782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 565480 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 64, 159, 294, 469?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -1\/12*q**4 + 2\/3*q**3 + 0 - q**2 - 16*q. Give r(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 <= 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c**3 - 4*c**2 + 5*c + 4. Let u(j) = -13*j**3 - 3*j**2 + 4*j + 3. Calculate -4*s(f) + 5*u(f).\nAnswer: -9*f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 9. Let y = -6 - -6. Let v be (0 - y)\/(2\/(-2)). Give p(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 + 5*p**3 - 640*p**2 + 3420*p - 5040 = 0. What is p?\nAnswer: -14, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 79.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6335, 561, -3, 0 in descending order.\nAnswer: 561, 0, -3, -6335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.3. Let t be (-1 + 9)\/((-1)\/(-8)). Let l = t + -188\/3. Sort l, c, -5.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**4\/12 - a**3 - 87*a**2. Let u be p(-4). Solve u*o - 3 = -11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.27 - 1.3. Let u = z - -0.024. What is u rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01689547 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 0, -678.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 699791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 + 2*r**2 + r**2)*(-r + 2*r - 3*r).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354010 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -38, -61, 7, 15, -5 in decreasing order.\nAnswer: 15, 7, 4, -5, -38, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(77)\/(sqrt(44)\/sqrt(64)).\nAnswer: -2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512946029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2352 (base 12) to base 6.\nAnswer: 30142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.929008 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 5*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2355781*t**6 - 231*t**2 - t - 2948?\nAnswer: 282693720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -3. Let x(b) = -b - 6. Let d be x(-7). Put d, -2, w in increasing order.\nAnswer: -2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, -3, 0, -2, 2, -70, -1 in decreasing order.\nAnswer: 158, 2, 0, -1, -2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 + 1 + 9*n - 4*n. Let d be j(1). Find the common denominator of d - -6*68\/16 and 139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11397487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9.1. Let q = 2 + x. Let l = q - 2.3. Is -4 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 379704196*q**3\/3 - 61536788*q**2\/3 - 251516512*q\/3 - 66650896\/3.\nAnswer: 4*(q - 1)*(9743*q + 4082)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63)\/(-2)*(-354)\/5. Let i = p + 2221. What is the common denominator of 38\/3 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181929 divided by -2254?\nAnswer: -181929\/2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4526 + -3020. Let t = d - 434. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 450578 (b) 2 (c) -0.21 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t - 3. Let u(k) be the first derivative of k**4\/4 + 2*k**2 - 4*k + 1. Let r be -12*(3\/(-9) + 1). Let f be 6\/r + 15\/4. Give f*u(b) - 4*h(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 3*w - 32 + 73 - 20.\nAnswer: -3*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.7363 millennia to centuries.\nAnswer: 107.363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1933\/2 + 1014. Calculate the common denominator of w and (54\/20)\/(-1) - (-5)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21819, 43640, 65461?\nAnswer: 87282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70148*p**3 - 34883*p**3 - 35267*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2129 - -1.7871. Which is the nearest to 0.1? (a) 4 (b) y (c) -0.3 (d) 3\/58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -7\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222410 - -3?\nAnswer: 222413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3 + 3*r**2\/2 - 4*r - 98. What is u(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -310 - -317. Suppose n*p + 240 = 23*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 3*z + 1. Suppose -349 = -x + 132. Suppose 0 = -8*k + 2401 - x. Let v be (-2)\/7 + k\/(-42). Give h(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:10 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}