diff --git "a/data/dm_maths/full_data_2/2077_11255.jsonl" "b/data/dm_maths/full_data_2/2077_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2077_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -5*j**2\/4 + 8460735*j\/2 - 14316807348045\/4.\nAnswer: -5*(j - 1692147)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3 + 0*m + 5*m + 0*m. Let f = 3036 - 3033. Calculate the smallest common multiple of k(3) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -37. Solve n = 4*f + 21, -2*f + z = -5*f + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-1400)\/(-30)*(-54)\/(-4). Suppose 2*t - 14*l - w = -19*l, -l = -2*t + 665. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -321.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.4 + -12.1. Let s = 17.5 + q. Sort 2\/19, s, -9 in decreasing order.\nAnswer: 2\/19, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 2, 4, 60 in descending order.\nAnswer: 60, 4, 2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 34 = f, -5*i = -2*f + 36 + 23. Let w(s) = s**3 - 22*s**2 + 26*s - 4. What are the prime factors of w(f)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-1)\/(-155))\/(7*(-6)\/(-28))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-3*sqrt(243)))**2.\nAnswer: 5\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*d = -3*d - 30, 0 = 3*g + d + 30. What is the smallest value in g, -1\/3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -823*m**6 + m**5 + 21*m**2 - 3*m - 3 wrt m.\nAnswer: -98760*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -647081 - 14.\nAnswer: -647095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -323755, -1295207, -2914287, -5180989, -8095307?\n\"Answer: k**3 - 323820*k**2 + k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vccs when four letters picked without replacement from ccsbbtv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9870852, 9870850, 9870848, 9870846?\n\"Answer: -2*r + 9870854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 123. Let k be 454\/5 + (0 - g)\/60. What is the greatest common factor of k and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162, 170, 190, 228, 290, 382, 510?\n\"Answer: y**3 + y + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4 + 4)*(8028 - 8028 - 156*c).\nAnswer: -468*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -5, -45, -4, -1, 4 in increasing order.\nAnswer: -45, -5, -4, -1, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22222220 (base 3) to base 2.\nAnswer: 1100110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10401925*z**2 - 9*z**3 + 10401928*z**2 - 20803853*z**2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 3:23 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -10. Let z = k - -13. Solve 0*v + 21 = -4*w + 5*v, -z*w = 4*v + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*d**3 + 4788*d**2 + 21512*d + 7392.\nAnswer: -4*(d - 154)*(d + 4)*(8*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17735533 is divided by 728.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 1:52 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63932.8 days in hours?\nAnswer: 1534387.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z - 9. Let l(w) = -2*w**2 - 3*w + 14. Let t(q) = -q**3 - 8*q**2 - 7*q - 8. Let d be t(-7). What is d*h(g) - 5*l(g)?\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15784*x + 3 = -15786*x - 5*d, 0 = 3*x - 2*d + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -63434604 (base 7) to base 9\nAnswer: -11084606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/43785 and 97\/29190?\nAnswer: 87570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.78864354 - 11947.7.\nAnswer: -11949.48864354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*m + 76 + 76 - 154)*(2*m + 11*m + 3*m) as x + i*m + j*m**2 and give j.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1434164 or 1434141?\nAnswer: 1434141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 888 and 14948.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*b = 42, b = -m + 19 + 3. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34644 - -69865. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 3. Let w be z(6). Let j(l) = 10*l**2 + 5*l + 2. Let b be j(w). Suppose o - b = -0*o. What are the prime factors of o?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 15) to base 4.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15579999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + o. Suppose 0 = -3*a - 3. Let v = a - -2. Let u be s(v). Put 4, 3, u in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 + 113.5. Suppose z - 2*n = -0*z + 2, -3*z + 3*n = -12. Let p be 24\/z - (-52)\/(-14). Which is the nearest to p? (a) -4 (b) -1\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3\/3 + 15*a**2\/2 + 38*a - 56. What is the units digit of u(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/(2*1) - (36 + -35). Let m(n) = -n**2. Let y be m(0). Let v = 8 - y. What is the greatest common factor of v and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (-20 + 100 - 158)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -3*c. Let t(w) = -w**3 + w**2 + 3*w + 6. Let i(p) = -p**3 + p + 1. Let a be (-2)\/6 - 65\/39. Let j(k) = a*i(k) + t(k). Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s + 34*s + 79800 = 0. List the prime factors of s.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from hthhhhhhhhhhhhhhhh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-4))\/1)\/(25\/((-1650)\/33))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -7*v**3\/3 + 13*v**2\/2 + 6. Find the second derivative of b(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 13*z**5\/60 - z**4\/12 - z**3\/3 - 272*z**2. Let q(m) = -53*m**2 + 9*m + 9. Determine -2*q(v) - 9*u(v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 6*q**2 + 6*q + 10. Let t be j(7). Let x = t - 1. Which is the third smallest value? (a) 1 (b) x (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 0 - (122 + (121 - 226))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**3 - 2*z + 1. Let j be n(1). Let m(k) = 12*k**2 + k + 1. What is the least common multiple of m(-1) and 2\/4 + 155\/j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x**2 - 5 + x**2 - 9*x**2 - x - 5*x**2 - 10 in the form n*x**2 + s + q*x and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 158175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q**3 + 0*q**3)*(-2019*q**2 + 3518*q**2 + 1128*q**2)*(-4 + 6 - 1) + 2*q**5 - 3*q**5 + 0*q**5.\nAnswer: -5255*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8628456 - 20583*l - 8628456 to s + h*l and give h.\nAnswer: -20583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23488 and 30094?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*l + 6, 58 = l + 2*f + 56 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from hpppjvphphpw.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/8 + 4\/(-16). Let l be 1\/(-2) - (-72)\/16. Which is the third biggest value? (a) l (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7078, -14198, -21318, -28438, -35558, -42678?\nAnswer: -49798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -51*y + 8. Let b be a(-4). Suppose 5*h = -4*n + 1320, 0 = 2*n + 2*h - 450 - b. Suppose -n - 180 = 5*x. What is x rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - c + 142 + 5*c**2 + 2*c + c - 140 + c**3 + 3*c**4 as n*c**3 + u + t*c**4 + k*c + h*c**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983.\nAnswer: 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (sqrt(80) - -4*(sqrt(80) + -2)) + sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80)*-1 + sqrt(80)))*-3 + sqrt(80) + sqrt(80))) + -2)**2.\nAnswer: -560*sqrt(5) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**4 + u**4 - u**4)*(116 - 3 - 47) + 5*u**4 - 5*u**4 - u**4 as i*u**3 + k*u + h*u**2 + s + p*u**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6*(-3)\/7)\/((-604)\/1057).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -758*z + 15835. Give i(21).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303458376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3355, 2\/9, -1\/783, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 1, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -25. Suppose 209 = j*v - 401. Suppose -3*q = -3*n - 25 - v, -3*q = -5*n - 157. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q + 2*u - 6, -3*u - 7 = -5*q. Suppose 0*k = q*k + 2*c, 2*k = -5*c. Suppose k = -5*i - 4*v + 1553, 572 = 5*i + 5*v - 983. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 - 3*t + 5. Let w(h) = -h**3 - h + 1. Determine l(x) - 5*w(x).\nAnswer: 2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 215*c**2 + 7*c - 219*c**2 - 3*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1027 + 0.0027. Let q = -0.1 + -0.4. Let b = -4.4 + 4. What is the smallest value in w, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3324107 = 49*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(5\/(-10)). Let h be -2 + z - (-18 - 3). Solve 4*f = -0*f + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*q + 262*m**3 - 125*q**2 with respect to q.\nAnswer: 2*m**3 - 250*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -30*q + 40. Let r be j(-21). Suppose 2*m + m = 4*s - 678, m - r = -4*s. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288835525 times 4?\nAnswer: -1155342100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.8 - 104.5. What is the third biggest value in r, 1\/169, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.929 - 0.229. Round p to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 210 and -10429.\nAnswer: -2190090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6710 * 5.\nAnswer: -33550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.1, 2, -3, -1\/13 in increasing order.\nAnswer: -3, -1.1, -1\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -46*x - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.06 in -4395, -3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101111001110001010110111 (base 2) to base 8\nAnswer: -57161267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(208))**2.\nAnswer: -32*sqrt(13) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = 0, -4131*q + 4125*q - 56 = -2*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**2\/2 + 3*a + 2. Let u be (8\/3)\/((-2)\/(-6)). Suppose -22*n + 24*n = u. Give r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433264.64 rounded to the nearest 1000?\nAnswer: -433000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {r: 3, v: 2, p: 1, k: 5, e: 1, z: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/720 + b**5\/30 + 11*b**4\/24 - 3*b**2. Let v(y) be the second derivative of c(y). Determine v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)*13 - 4. Let r(b) = 107*b**3 - 13*b**2 + 6*b - 4. Let d be r(w). What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5359.297 millimeters to centimeters.\nAnswer: 535.9297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13120 (base 7) to base 2\nAnswer: 110110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*i + 10. Is ((-2)\/i)\/(2\/33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-13)*978\/1304?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710766177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 - 2*n**2 - 3*n. Let m(f) = 20*f**3 - 10*f**2 - 14*f. Let u be 160\/50 - (1 + 8\/(-10)). Calculate u*m(t) - 14*a(t).\nAnswer: 4*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1708, -10\/3, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2, -5, -3 in increasing order.\nAnswer: -27, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2*m - 20, -5*s + 937*m - 935*m + 65 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*x**4 - 61*x**4 - 196*x**4)*(-19 + 19 + 98*x).\nAnswer: -19992*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124901592 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2846 is divided by 2450?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmleemlecmtels. What is prob of sequence ltc?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*y = -8, 4*y + 4 = -2*l + 6*l. Suppose l*n - 7*n = 0. Solve n = -2*r + 5*t - 6, r + 4*t = -4*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*-2*(sqrt(187)*3 - sqrt(187)))\/(-5*sqrt(539) - sqrt(275)*4).\nAnswer: -16*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 18*h**2 + 19*h - 24. Calculate the remainder when 39 is divided by k(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -836 - -836.3. Sort v, -9, 2\/11.\nAnswer: -9, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0326*8.8\nAnswer: 0.28688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9524 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2.7, 1\/4, -3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -94781a?\nAnswer: -947820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33 + 5\/((-15)\/3)*2. What is the greatest common divisor of 124 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 + 5*y + 6. Let h = 9 - 12. Let t be d(h). Let c(k) = k - 5. Calculate c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*i + 570, -k - 2*k = 0. Let q be (i\/2337)\/((-2)\/21) - -1. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21936 (base 11) to base 14.\nAnswer: -b7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by -9?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/2 (b) -0.1 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + -1 + (30 - (30 - 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224\/13 or -17?\nAnswer: -224\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/5901?\nAnswer: 8\/5901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 20, -110 = 5*c - b + 2*b. Calculate the remainder when 1\/(0 - 1\/c) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -900189128.\nAnswer: -900189122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 7*p**2 - 3*p - 4. What is g(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35207044 (base 8) to base 13.\nAnswer: -1787966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 6. Let l be h(-4). Let y be (-16)\/6*15\/l. Let f(k) = 2*k**2 - y + 2 + 2. Let z(g) = 5*g. Give z(f(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/7 + 68*j = 0.\nAnswer: 0, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/19? (a) 3\/4 (b) 0 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 + 5*k + 1. Does 11 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 245*h - 13*h - 241*h. Let g(r) = -8*r - 1. What is 2*g(b) - 3*n(b)?\nAnswer: 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s - 198. What is the hundreds digit of p(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/109 and -58\/150965.\nAnswer: 150965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.471 (b) -23 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.28 - 1.2.\nAnswer: -4.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-60)*(-3294 - 3).\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*v - 1740, -5*t + 5*v - 2*v - 4366 = 0. Let g = 931 + t. Calculate the remainder when g is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -61, -141, -253, -397?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1113\/2*v**2 + 42465\/8*v + 117\/8*v**3 - 1083\/4 = 0. What is v?\nAnswer: 2\/39, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 33728488.\nAnswer: 505927320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*m - 1529*m - 916*m + 318*m.\nAnswer: -2837*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200081 = 3*b - i, -155804 = -2*b - 3*i - 22402. List the prime factors of b.\nAnswer: 5, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + -0.2. Let q = -1477 - -1472. What is the closest to -2\/5 in b, q, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 1. Let v(m) = -m**3 + m + 1. Let u(d) = 2*v(d) - 2*w(d). List the prime factors of u(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -3057736?\nAnswer: -3057753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-3))\/w*w**1*w**3\/w*w**2 assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042200 (base 6) in base 7?\nAnswer: 561426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334010 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/33 and -73\/256036.\nAnswer: 768108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**16\/y)\/(y\/((y\/(y**8\/y*y)*y)\/y)))\/((y**(-2)\/y)\/y**(-1\/2)) assuming y is positive.\nAnswer: y**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484576*x - 4922 = 484469*x for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 717*k - 2181. Let j be d(3). Put j, -8, -4 in increasing order.\nAnswer: j, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5204.945mg?\nAnswer: 5204945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493186397.\nAnswer: 11, 67, 669181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 4 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -41) + 0 + 0 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -502, -522, -560, -622, -714?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4*-1*(-98)\/49.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1041 (base 8) to base 16\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 11. Let d be o(-5). Is ((-2893)\/22)\/(d\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l = 2636 - 2270 + 827 + 5207 for l.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:59 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u**3 - 4*u**2 + 23*u - 3. Let m(a) = -32*a**3 + 11*a**2 - 69*a + 8. What is -3*m(p) - 8*x(p)?\nAnswer: 8*p**3 - p**2 + 23*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 0 (b) -5\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/24 - v**3\/2 + v**2. Let n = 0 + -4. Determine a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11480711 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 42*i - 65*i - 34 + 43*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 28 = -3*d. Suppose 4*o - 166 - 42 = 0. Let k(f) = f - f**3 - 8*f - o*f**2 - f + 44*f**2 - 6. Calculate k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 1)*(57*n**3 - 49*n**3 - 28*n**3).\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*g + 15 = 0, -x - 1 = 3*g - 0. Let m = -7548 - -13420. Suppose -x*o + 24628 = -m. What is o rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 + 867 = -56*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3 + 868498*q**2 - 94347296288*q + 13285707774312 = 0?\nAnswer: 141, 217054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42032 = 3*w - 5*f, -3*w - 68*f + 66*f + 42046 = 0. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 15 + 55 = 0. Suppose -17*r = -h*r - 14. What is the second derivative of -8*m**2 - 11*m + 4*m**2 + 2*m**r wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2917, -2953, -3029, -3163, -3373, -3677?\n\"Answer: -3*q**3 - 2*q**2 - 9*q - 2903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 2825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 <= -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from guuuugu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:55 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + y**2 + 2*y + 3. Give a(5).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 - 10.1. Let p = l - -0.3. What is the third smallest value in -4, 1\/2, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 8:12 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.567 + -5.627. Let r = w + 0.06. Let o = r + 5. What is the nearest to o in 3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npd when three letters picked without replacement from bpnhddnzh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(320)*-1) + (sqrt(320) - (2 + sqrt(320) + sqrt(320)))**2.\nAnswer: 41*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14048 + 18195. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-156) - 6\/(-78)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*y = -196*y + 36535. Let q = 10246 - y. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**5\/5 + 3*g**4\/2 + g**3\/3 - 3*g**2 - 319. Factor v(z).\nAnswer: -z*(z - 6)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-25) - (-5316)\/5. Suppose -5 = 5*s, b = -j + 3*j + 3*s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -82*r**2 + 88863*r + 27109. What is u(1084)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**38*m)*m))**(3\/11)*(m\/(m*m**(-30)))\/(m*m\/(m**43\/m)) assuming m is positive.\nAnswer: m**(884\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + r + 1. Let k(h) = 5*h**3 + h**2 - 4*h - 1. Let c(p) = -6*b(p) - k(p). Calculate c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 26. Let b(z) = -w*z**2 + 3 + 4 - 7. Let m(v) = 6*v. What is b(m(p))?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-9)\/k)\/k**(-26) assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 370, 369, 358, 331, 282, 205?\n\"Answer: -j**3 + j**2 + 3*j + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*x - 10, 0 = 5*d + 3*x + 2. Let b = d - 7. Let q(u) = u**3 + 6*u**2 + 5*u + 7. List the prime factors of q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 466*w**3\/3 + 8*w**2 + 19*w - 60. Is q(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**6\/204 - 7*b**5\/510 - b**4\/102 - 3*b**2 - 7*b. Let h(x) be the first derivative of i(x). Factor h(g).\nAnswer: -2*g*(g + 1)*(5*g + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/30 + -33\/10. Let b be (778954\/14)\/((-270)\/(-63)). Let i = 12985 - b. What is the common denominator of i and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6112208 to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327917280 divided by 683161.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - 23. Let u = -19 - a. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 + -207. Let q = 249\/4 + z. Factor -1\/4*p**2 - 1\/2*p - q.\nAnswer: -(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 5*f + f)*(-2*f - 2*f - 4*f) + (2*f + 4 - 4)*(-f + 4*f - f) to z + h*f + t*f**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-14) + 2257980122\/2191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78) + (sqrt(78) - 1*sqrt(78)*4) + sqrt(78))*2)\/((6*sqrt(540))\/(2*sqrt(40))).\nAnswer: -8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.104 - -291.004. Let a = r - 314. What is a rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -39, -122, -279, -534, -911, -1434, -2127?\n\"Answer: -4*s**3 - s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*t - 139, 5*n - 607 = 2*t + t. Let g = n + -118. Let v = 193\/4 + -49. Which is the closest to g? (a) 1\/2 (b) 2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(133)*-3 - sqrt(133)))\/((sqrt(336)\/sqrt(6))\/sqrt(8)))**2*4 + 0 + 4.\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/397 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 946, 8, -3, 5 in decreasing order.\nAnswer: 946, 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*z - 11, 3*j + 4*z = -j - 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaooglaoaagroao. Give prob of picking 2 r and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24140 - -12?\nAnswer: 24152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1240845 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 3*a - 65 = -45*z, -4*z - 92 = -14*a + 10*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30548824 is divided by 5091468?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((1\/29)\/(2 - -7)) is divided by 350.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/15 and 0.00936976 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121525 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -517 + 471. Sort n, -2, 5 in decreasing order.\nAnswer: 5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*k = -31, 5*g + 4*k + 182 - 3 = 0. Let z be (g\/(-10))\/((-3)\/(-6)). Suppose -z*r = -r. Which is the smallest value? (a) -3 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 31*o**4\/12 - 7*o**3\/6 + 228*o**2 - 366*o + 2. Find the first derivative of t(z) wrt z.\nAnswer: 62*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86016 is divided by 98?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -157*n - 31785. What is l(-215)?\nAnswer: 1970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*r**2 - 78*r + 5*r**4 - r**3 - 3*r**4 - 75*r as w*r**4 + p*r + f*r**2 + d*r**3 + s and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 4*f, z - 3 = 2*f - 8. Sort 84, -1, z in ascending order.\nAnswer: z, -1, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*k - 12 = 2*g, -5*g + 16 = 3*k. Suppose g*v - 837 = 229. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d = 120. Suppose 2*u + u = -d. Let i be 1 + u\/(-16)*-2. Put i, -4\/5, 0 in ascending order.\nAnswer: i, -4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 171.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -15*i - 4*o + 72, -14 = -i + o for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**7\/70 + 11*a**5\/15 + 12*a**2. What is the third derivative of z(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Let t be 7 - (-3)\/(3 + a). Which is smaller: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*2)\/((-6)\/20)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21234213 - 2?\nAnswer: -21234220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 31*q + 124. Give r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/(-4))\/((-4)\/16). Let u = -514 + 750. Let b = u + -132. What is the highest common divisor of b and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3114, 3103, 3092, 3081?\nAnswer: 3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 80, 68, 56, 38, 8, -40, -112?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1864.04 and -0.2.\nAnswer: 1863.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-815)\/(2 - 3)*63\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*q + 33, -23 = -4*j + 7*j - 4*q. Let u(v) = -v + 2. What is u(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.4 - -23.37. Which is bigger: 2.1 or i?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000175153 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 2) + 6 + -88 + 97?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0176182 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796073259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 55*a**2 - 158*a - 62. Give x(-3).\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -30 + 8 - 20\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 6, 2, 12 in descending order.\nAnswer: 12, 6, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let u(z) be the third derivative of 0*z + 0*z**3 - 2\/15*z**5 + 0 - 1\/24*z**4 + 102*z**2. Determine u(f(l)).\nAnswer: -32*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3 + 2280*n**2 + 2294*n - 13692 = 0.\nAnswer: -3, 2, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 140 - 127 - (1 - -1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -334604637.4 rounded to the nearest 10000?\nAnswer: -334600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + z = 59, 3*z = 6*z + 3. List the prime factors of (-38 + h)\/(3\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*x**2\/2 + 48580*x - 24081800\/3.\nAnswer: -(21*x - 6940)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 181.\nAnswer: 66\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.26 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.194, 0.4, -23, 1\/4, -2, -90?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 6 = -2*v, 2*v - 13 = -65*h + 62*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -13) + (3\/(-7))\/(195\/(-1365))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.5235 millilitres to litres.\nAnswer: 0.0615235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*v + 28 = 0, -6 = 9*v - 6*v. Let z(d) = 100*d**2 - 4*d - 9 - 3 + 2*d. Let c be z(k). Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -78?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - 12. Suppose 14*s - 24*s - 80 = 0. Let j = s - d. Solve 4*r = 5*n - 2*n + j, 3*r = 3*n + 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-356)\/28 + 220\/22 - (-5)\/1. Factor 8\/7 + 0*v**4 - 8\/7*v**2 + 12\/7*v + 4\/7*v**5 - r*v**3.\nAnswer: 4*(v - 2)*(v - 1)*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*l - 5*l - 2*x, -3*x = l. Let u(y) = -y**2 + 2*y + 7. Let q be u(5). Let m = l - q. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 790 + -796. Which is smaller: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.138 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589400.5ml to litres.\nAnswer: 589.4005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149855347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*2\/(-7) - 5870\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -104, -2, -3 in decreasing order.\nAnswer: 11, 0, -2, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 1486165?\nAnswer: 24\/1486165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.5 - -46. Let h = -18.499786 + x. What is h rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 71*r = 7*r - 175680. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0225443146 to 4 decimal places.\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + ((sqrt(33) - (sqrt(198) + sqrt(198)*-1)\/sqrt(6)) + (sqrt(231) - (2*sqrt(231) - sqrt(231)))\/sqrt(7))\/((-1*sqrt(66)*-1)\/sqrt(6)))**2 + -4.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-44 + 63 - 190)*(4*q + 0*q - 3*q)*(1 - 4 + 4).\nAnswer: 342*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22481142065 plus -0.5?\nAnswer: -22481142065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 251710404 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240608\/15 - -16042. Let v(z) be the first derivative of -10 + m*z**3 - 8\/5*z + 4*z**2. Suppose v(j) = 0. What is j?\nAnswer: -2, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5722951 to the nearest integer?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5611044 (base 7) to base 8.\nAnswer: 2507227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 2. Let z be c(0). Let x = 3 - 2. What is the nearest to 1 in z, -2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 18*v**2 - 21*v + 14. Calculate u(-17).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 55*p**2 - 738*p. Let t(o) = o**3 + 57*o**2 - 735*o. Let y(u) = -4*b(u) + 3*t(u). What is the second derivative of y(g) wrt g?\nAnswer: 18*g - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -1477, -2237, -3015, -3817?\nAnswer: -4649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f + 22*f + 23*f + 105*f**2.\nAnswer: 105*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 9*y**2 + 7*y + 7. Let l be p(-7). Let a = l + 60. Suppose x + 4 - a = 0. Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 - 10*c**4 - 12*c**3 + 4*c**2 + 14*c + 6.\nAnswer: -2*(c - 1)*(c + 1)**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a - 3. Let y be x(-6). Let i(p) = -p**3 - 14*p**2 + 5*p - 3. Is 5 a factor of i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 29*p - p**2 - 29*p. Let x(b) = 29*b + 21*b - 52*b. What is x(h(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2911400 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - i - 94, -3*i = -4*i + 2. Is -45 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2) + 1 + 13. Let u = j + -7. Solve 4*a = 5*n - u*n - 18, n + 3*a = -1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -534 or -3737\/7?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240.42 - -240.28. Put 4, 1, 1\/11, m, 1\/8 in descending order.\nAnswer: 4, 1, 1\/8, 1\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789256116?\nAnswer: 2, 3, 11, 664357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/11))**(2\/59)\/(((c**(1\/9)*c)\/c*c*c)\/((c*(c*c\/(c\/c**25))\/c*c)\/c)))**(-44) assuming c is positive.\nAnswer: c**(-557852\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1521 + 261 = -84*i. Calculate the remainder when 973 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-206 + 214 - ((3 - 1) + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -52. What is the units digit of 35 - i*(-3)\/(-18)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3277*o**2 + 0 - 1473*o**2 - 1802*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 46*x**2 + 43*x + 88. What is y(45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76782479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {v: 2, s: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2456?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4201822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 20*r + 6. Let p be (7 - -1) + (5 - -4). Give l(p).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 557563 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7)\/((-16)\/(-1400)*100)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**3 + 5*n**2 + n - 512. Let b(s) = -5*s**3 - 4*s**2 - s + 512. Determine 3*a(l) + 4*b(l).\nAnswer: l**3 - l**2 - l + 512","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - ((-5 - -13) + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d + 40. Let p(z) = 6*z - 27. Let i(c) = 5*m(c) + 8*p(c). Let y be i(6). Find the first derivative of a + 0*a + y*a - 16 + 0*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*b + 5*o + 6, 0 = -2*o + 10. Solve b*t = 4*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 513.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(700) + 0 + 4 - sqrt(700)) + -1)*-4 + 3)*6)**2*-3.\nAnswer: -218700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3085 = 408*k - 7596 + 16383 + 18778 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 547, 1\/2, -1141 in decreasing order.\nAnswer: 547, 1\/2, -1, -1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 9*w - 19*w)*(-4 + 4 + 2) - w + 4*w - 4*w + (w + 0*w + 0*w)*(2 + 1 - 1) + 0*w + 3*w - 2*w.\nAnswer: -58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 5:20 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 - 98*p\/3 = 0 for p.\nAnswer: -98, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.2, 53, 92.8?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 2*m**2 + 692*m - 1372*m + 680*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 30 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6063 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72261669461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -7*m**3 + m + 7. Let d be s(-2). Let q = d - -140. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 26237750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*d + 19. Differentiate -s + 8*s + d + 3*s + 0*s wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 5:51 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 5, w: 1}. What is prob of sequence wtx?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 19*c - 12*c)*(2*c**4 - 2*c**4 + 2*c**4) + (-c**5 + c**5 + c**5)*(2 + 2 - 6).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2309 from -4.\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) + 2 + sqrt(13))*1 + (sqrt(13) - (-1 + sqrt(26)\/sqrt(2))) + (sqrt(91)*-1*-3)\/sqrt(7).\nAnswer: 3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**3 + 27*w**3 - 3 - 16*w**3 to u + g*w + j*w**2 + o*w**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(6)*-1)\/(-3*sqrt(4)\/sqrt(2)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -439646015 and -5.7051.\nAnswer: -439646020.7051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33355435195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuunnnuunnuuu. Give prob of sequence uun.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 7*u - 5. Let l be n(6). Let y(d) = 8*d**2 - 2*d + 1. Let p be y(l). Suppose 0 = -2*f + 3 + p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:13 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -237*v + 232. What is a(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -12*d - 10*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*((-330)\/20)\/(-11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -5\/24*q**4 - 1\/30*q**5 + 1\/120*q**6 + 0*q + 0 + q**3 + 20*q**2. Factor c(o).\nAnswer: (o - 3)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahq when three letters picked without replacement from {g: 1, a: 3, q: 1, y: 2, t: 1, h: 11}?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 - 5*y**2 + 2*y. Let t be n(3). Let k be (33 - 38) + 442\/(-2) + (-4 - -3). Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40465374 divided by -3?\nAnswer: 13488458","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 9 - 15*l - 16.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzmm. Give prob of picking 1 m and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 4. Let l be x(-2). Let y(a) be the third derivative of 8125*a**6\/6 + a**4\/24 + a**3\/3 - 8*a**2. Let c be y(l). Round c to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 37 = z + 3*m, -4*m = 2*z - 42. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-25*v**2 - 46*v**2 + 28*v**2) + 2*v**2 - 4*v**2 + 4*v**2.\nAnswer: 88*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 9 + 3)*(5 - 0 - 391\/85)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302236414 to the nearest integer?\nAnswer: 17385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2+1184\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152209 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 452\/20 - 4\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/71 + 62\/355. Factor -8\/5 + 8\/5*q - v*q**2.\nAnswer: -2*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p*p\/(p*p**(2\/9)))*p**(-15)*(p**(-2\/25)\/p*p)\/p**(-17) assuming p is positive.\nAnswer: p**(482\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4466663304 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w - 4*w. Suppose 0 = v - 3*g - 0*g + 11, 0 = -v - 4*g + 17. Solve v = -w*t + t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 6400160 = 53*g + 57*g. What is the ten thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - a)*(-a**4 + 0*a**4 + 2*a**4) - 33*a**3 + 38*a**5 + 33*a**3.\nAnswer: 39*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -l + 1684, -3*l + 5*w = -2514 - 2526. List the prime factors of l.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-7))\/(2\/4). Let q be 2\/6 + o\/((-24)\/44). Let y(i) = i**2 - 6*i + 1. Let l be y(6). Put q, 5, -1, l in increasing order.\nAnswer: -1, l, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m - 2055 + 2199 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - (-4 + 2) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -7333 (c) -1 (d) 0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 294\/(-1)*1 - (0 + -3). Let w = -145 - i. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = 0, 4*d + 37 + 77 = 2*z. Let h = -22 - d. Suppose -b - 2*b = -5*f + 1063, -1091 = -5*f - h*b. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (3 - 4) + 214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 83?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074101.195 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111877203*z + 19809039 wrt z?\nAnswer: -111877203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*u + 2 + 3*u + u - 3*u + (3 - 1 + 0)*(u + 2*u - 2*u))*(1 + 1 + 1) to the form s + o*u and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 39 + 9. Suppose 0 = -3*o + 2*o + 3. Suppose -38*a + 68*a - 180 = 0. Solve -t + a*t + v = -p, 2*p = o*t + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -18974*l + 14533. Is k(-29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 146, 177, 208, 239?\n\"Answer: 31*a + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0467273 from 2.3.\nAnswer: 2.2532727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -1061, -1552, -2019?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 491.8 + -492. Which is bigger: n or 3\/70?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 10614*a**2 + 501408*a - 18175104.\nAnswer: 2*(a - 24)*(a + 72)*(a + 5259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2179.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 32. Suppose -904 = -4*a - 3*x, a + j = -5*x + 259. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k + 6. Let g be h(8). Let u be (0\/2 - 23\/g)*-38. Which is smaller: u or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 10*p - 9. Suppose -4*k + 6 = -18. Does 15 divide x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353832410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d + 8. Determine q(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:17 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 41. Let f be x(-17). Suppose -f = -2*g - 18. Put -6, g, -2\/13 in ascending order.\nAnswer: -6, g, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(684\/(-11989)) + 53.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15*r**2 + 1. Let i = 19 + -18. Determine c(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.496 + 1.034. Let k = l + -8.530000423. What is k rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -4 - (2 - 12) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 93*u + 675. Determine o(2).\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.3277*-0.02.\nAnswer: 0.326554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 - -202?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 2*o + 0*o + (-1 + 2 - 3)*(-o + 3*o + 0*o) - 4*o + 147*o - 7*o to the form g*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34943 - -65485. Is 30543 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929543121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 63 = -j - 3*y, 92 = -4*j + 4*y. Let f be j\/10 - (1 - 3). Which is the biggest value? (a) f (b) 0 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-297)\/44 + -4 + (-57)\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + i + 14 = 19, -m + 4*i = 2. Suppose b - 4*v + 12 = 4*b, b = 5*v - 15. Let x be (0 + 0)\/(1 + b). Solve -q + x = -m*k - 4, 2*k = 2*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*(760\/29792)\/(175\/120)?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/15535?\nAnswer: -6\/15535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 14 + -10 + 8 + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1442? (a) -0.4 (b) -0.2 (c) -1\/110 (d) 2\/7 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*y + 1 - 1 + 78*y)*(155*y - 1 - 3 - 156*y).\nAnswer: -57*y**2 - 228*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f)**(34\/3)*(f\/(f\/(f*f**1))*f)**(2\/35) assuming f is positive.\nAnswer: f**(1244\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34542263 (base 7) to base 11\nAnswer: -1793841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = c - 3*w, -4*w + w = 2*c + 12. Let s be 2 - (79 - (c - -3)). What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**4 + g**3 + g - 1. Let n(c) = 7*c**4 + 5*c**3 + 5*c - 4. Let t(p) = -n(p) + 5*z(p). Differentiate t(l) with respect to l.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -97*l**2 - 2*l. Let a(r) be the third derivative of -r**4\/24 + 84*r**2 - 2. Calculate a(h(u)).\nAnswer: 97*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 25*s - 109. Let c be z(-19). Solve 0 = -3*p + 4*q - 31, -3 - 7 = -2*p - c*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32319, -64639, -96959, -129279?\nAnswer: -161599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12761 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22180 + -6137. List the prime factors of u.\nAnswer: 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 38341303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0 + 1\/10*h**5 - 5\/2*h**2 + 0*h**4 + 5*h + 0*h**3. What is the first derivative of b(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c*c*c**(-6\/13)\/c)**2*c**(-7)\/c**(4\/3)*(c\/(c*c**(-1\/3)\/c*c))**(3\/8) assuming c is positive.\nAnswer: c**(-5345\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 5*x**2 + 6*x**2 + 348*x - 3*x**2 + 1452 - 346*x. Is o(0) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Let w be (24\/(-9)*3)\/(-2). Suppose -5*f - w*f = -4*f. Solve f*t = r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -766 - 3790 - 1911*m - 5218*m + 1331*m wrt m?\nAnswer: -5798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -7535451.408.\nAnswer: -7535451.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*c - 9 = 7*c, -4*c = -3*z + 53. What is the least common multiple of z and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -26, -62, -122, -212, -338, -506, -722?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801373.\nAnswer: 199, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/36 + -5\/12. Suppose -344*g - 20311 - 10990 - 20299 = 0. Is g not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50703 + 50765 + 2*i**3 + 0*i**3.\nAnswer: 2*i**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 625699*o\/4 - 625701\/2.\nAnswer: (o - 625701)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*m. Suppose 3*v - 8*k = -3*k - 19, 5*k - 15 = 5*v. Solve -v*l + 0*s - 5 = -s, 3*l + m*s + 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*f + 179553 - 179825 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w + 6*w - 5*w - 3*w + 0*w - 2*w + (-3*w - 3*w + 5*w)*(2 - 3 + 3).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*r + 9*r. Factor -24*z**3 - 41*z**4 - 37*z - 52*z**2 + 37*z**r - 11*z - 16.\nAnswer: -4*(z + 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j - 20. Let z be 6\/j*(-4)\/(-6). Is z greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -2*x. Let h be -5*(-2)\/4*x. Let f = 5891\/39 + -1968\/13. Sort f, h, 3\/4 in increasing order.\nAnswer: h, f, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -33*m - 314. Give o(-19).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.008, 2.3, 1, 5?\nAnswer: 3.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-6 - 5) + (6 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + 22. Let q = -44 + w. Let z = 4.2 - 4. Put q, -4, 5, z in descending order.\nAnswer: 5, q, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12069, 24008, 35947, 47886?\nAnswer: 59825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-7)\/5 - (-24)\/(-40)). Let p(g) = 12*g**2 - 13*g**2 + 5*g - 4 + k*g**2. Give p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -34*h**4\/7 + 780814*h**3\/7 - 15693746*h**2\/7 - 14547214*h\/7 + 275340 = 0.\nAnswer: -1, 2\/17, 21, 22945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 42*w - 20 = 0. Solve 5*m + 0 = -w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3 - 6 - 16*j**3 + 20*j**3 + 0 + 2*j**2. Let y(k) = k**2 + 4*k**3 - 6*k**3 - 1 + 3*k**3. Calculate h(u) - 2*y(u).\nAnswer: 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/18 and -41\/116?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20128 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662604.\nAnswer: 2, 3, 55217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(4) - 1*sqrt(4))\/sqrt(2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1473279\/11 + -134099. Let c = -164 - t. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/690 and 79\/6?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -58. Let o be (-24)\/(-2)*n\/8. Let q(d) = d**3 - d. Let k(b) = 4*b**3 - 8*b + 2. Determine o*q(v) - k(v).\nAnswer: 2*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + -5 + -1 + 4. Suppose y*c = -40*c + 96. Solve -9 = -3*z - c*i, -5*z = -i + 5*i - 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnlllnllpn. What is prob of picking 1 p and 2 l?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 659, 1199, 2663, 5513, 10211, 17219?\n\"Answer: 77*n**3 + n + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*h = -2 + 12, 5*h = x - 25. Let n be -15 - -17 - x\/(-2). Solve -n*j = -j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8 - 77\/28) + -76. Let x = i + 99. Suppose -95 = -4*j + 4*r + 41, 20 = 4*r. What is the remainder when j is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.034 - -0.534. Let w = -57 - -53. Let v be (6\/(-10))\/((-3)\/15). What is the biggest value in -6\/7, o, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 - 542*j**2 - 2712*j\/5.\nAnswer: 2*j*(j - 1356)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.5, -2\/9, -44?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15283 and 10292?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 8. Is 29 a factor of 351\/36 + w - (-113)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7582.91 + -7583. Let g = 1\/58 - 123\/406. Is g not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8*-5*40\/(-250))\/(486\/(-20655))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1\/2*n**3 - 3*n**2 + 5\/4*n**4 + 5*n + 0 + 3\/10*n**5. What is u in x(u) = 0?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72599801 is divided by 36299897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 8 - 40 = 9*w + 8, -3*w = 2*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 31. Solve 3*d - 3*d**5 - z*d**2 + 9*d**2 + 0*d - 6*d**4 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - 5454*k**2 + 2*k + 5454 = 0.\nAnswer: -2727, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.064 and 47?\nAnswer: 3.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316513 is divided by 1583.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 5, -110, -7, 2\/9, 0.3, 21?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234\/780)\/((-12)\/90).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22573880 at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 27. Suppose -5*z - 25 = 0, -i - 5*z - 38 + b = 0. Solve 3*m - 5 = -4*a, 0*a - i*a + 2*m = 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 2 - 1 + 6 + 5 - 11 + t.\nAnswer: 14*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**3*q**2 + 15*c**2*q**2 + 71*q**2 + 1 wrt c.\nAnswer: 18*c**2*q**2 + 30*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 8*s + 26. Let o(t) = -4*t**2 + 6*t + 7. Let c(u) = -9*u**2 + 13*u + 15. What is s*o(v) + 6*c(v)?\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = 3*v. Let d(q) = -177*q - 18. Let t(r) = -487*r - 50. Let m(k) = -11*d(k) + 4*t(k). What is m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310313 (base 4) to base 8\nAnswer: 6467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u - 1. Let f(n) = -14*n**2 + 12*n - 12. Let i be 15\/6*2*-1. Let s = 6 + i. Let y be 1*-1 + -12 + 1. Determine s*f(o) + y*b(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864201?\nAnswer: 3, 13, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8944487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30\/(-4)*27\/(405\/(-11010))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.881254 + 36.98122. Let r = v + -3.1. What is r rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000) + sqrt(4000)*-1 - sqrt(4000))*2 + -5*(-1*sqrt(4000) + sqrt(4000)))\/(2*-2*-3*sqrt(128)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**7)\/s**(-6))\/(((s*s**(2\/9))\/s)\/(s*s**(-9))) assuming s is positive.\nAnswer: s**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g - 15 = 0. Let z = -1 + 2. What is the least common multiple of g and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1281 and 2192904.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) -3664 (b) 1 (c) -0.02 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-34)*44\/6 + 2261\/(-209).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 13. Let z(a) = a - 6. Let u(k) = -4*r(k) + 10*z(k). Let f be u(-5). Solve -n + 25 = f*q - 6*q, q + 10 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1776 and 17464.\nAnswer: 104784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 - 7*u**2 - 29*u**2)*(249*u**2 + 0*u - u + 2*u**3 - 247*u**2).\nAnswer: -54*u**5 - 54*u**4 + 27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 + 2. Let d be y(4). Let s = -25 + 25. Suppose -z - 3*x - 14 = s, -3*z - 5 = 3*x + 7. Which is the closest to d? (a) z (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -9*w + 48. What is the tens digit of (w\/(-6))\/((-1)\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -3\/2, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 25074?\nAnswer: -1755.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, -2, -5, -898.37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*p**2 - 7283*p - 995285 wrt p.\nAnswer: 44*p - 7283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 5*y + 19, -2*s = -3*y + 11. Suppose -5*j - 5*f - 2138 = -f, 0 = -3*j - s*f - 1284. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -74 and 1357.489?\nAnswer: 1431.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4 - 3. Let f = -12 + 7. Let k = h - f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8732221 divided by -47\nAnswer: 8732221\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 24*u**2 + 19*u + 143. Give b(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:43 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17163\/5552 + 10\/347. Find the common denominator of g and -65\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100042 + 221?\nAnswer: 1100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {u: 1, n: 1, m: 2, p: 2, v: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/((-5)\/(85\/(-10) + 6)). Let q(g) = -3*g + 69. Let t be q(22). Solve -3*x + 3*z + w = 0, t*x + 5*z - 22 = -0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0 + 0 - o) - 120*o + 51*o - 193*o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-3)\/672 + -7 + (-585)\/(-112)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1961040 by -98052.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + ((-24)\/35)\/(-17*174\/83810).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 6*x**4 - 14*x**3 - 54*x**2 - 36*x = 0.\nAnswer: -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3. Calculate the remainder when 17 is divided by z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31305 is divided by 639.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - -12. Suppose 182 = -5*x + 2*x + h, x + o = -5*h. Let r = x - -69. Solve -4*k - 28 = -4*a, 6*a - r = 2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518 or -516?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {t: 1, v: 1, g: 5, e: 3, q: 1, y: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40\/294 - 23\/((-5796)\/(-24))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 16*s**2 + 12*s - 11. Let b be c(-10). Suppose 22*t - b = 435. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85897 is divided by 85780?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1) + 1 - (-1 - -1). Solve 0 = -u*r + 2*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.5859 * -7.32\nAnswer: 92.128788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1323 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -471*n**2 + 17424*n + 135. Give b(37).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 35*q**2 - 3. Let a(z) = -175*z**2 + 14. Let t(x) = -3*a(x) - 14*d(x). Let h(c) = c. Calculate h(t(v)).\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heeheceddseheesehh. What is prob of sequence dce?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 0*o. What is the nearest to o in 1\/3, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(6\/5)*g)\/(g**(-3\/4)*g) assuming g is positive.\nAnswer: g**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.1020626 - 22.093. Let c = x - 0.009. What is c rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*v = 2931, 355 = 2*q + v - 813. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1 - 3 - 3129*d + 2 + 3125*d. Let x = -4 - -6. Let m(z) = 0*z**2 - x*z**2 - 8*z**2. Determine b(m(s)).\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 40. What is the remainder when 37 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llktl. What is prob of picking 2 l and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-1\/30)*w**16 assuming w is positive.\nAnswer: w**(511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/273 and -49\/30.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:42 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -13396341 and -13396341 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/12 + 833*g**3 - 1947*g**2 - g + 3224. What is the derivative of z(w) wrt w?\nAnswer: -2*w + 4998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-1 + 17 - (-304 + 390))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 8*p**2 - 44*p - 48 = 0. Calculate p.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -11. Let z be ((-2)\/y)\/((-4)\/(-18)). Suppose 4*h - z*h - 11 = 0. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 762, 1123, 1262, 1179, 874, 347?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 9. Let v be (-2 - 991)\/((-1)\/o). Let d = -71639\/12 - v. Find the common denominator of -29\/18 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:55 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 580998584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8460 + 635*u**2 + 8460 + (2*u + u - 2*u)*(-4 + 4 - u) + 0*u**2 + 2*u**2 + 11*u**2.\nAnswer: 647*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 7951 and 7951 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*z + 88, 5*z - 19 = 4*m + 127. Let h be 584\/10 - 4\/10. Let r = h + -32. What is the greatest common divisor of r and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.4 + 22. Let k = v - 1. Which is the third smallest value? (a) 2 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145277963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f. Let x(m) = -9149*m. What is j(x(g))?\nAnswer: 27447*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from fgmwgud?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (-52 + -2)) + -33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - c**2 + 4*c - 2. Let u be v(1). Suppose -u*t + 2*g + 146 = 0, 3*g + 0*g + 144 = 3*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (135\/6)\/5*4. Suppose 4*g + t - 6 = 0, -3*t - u = -4*g + 2*t. What is the first derivative of -3 + 4*a**2 + g*a**2 - 3*a**2 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/(-288)*(5 + 83). What is the greatest common factor of t and 2937?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 3544.\nAnswer: 38984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 732*c**2*g**2*x - 2*c**2 - 1261114*c*g**2 - c - 85*g**2*x + 78*x wrt x?\nAnswer: 732*c**2*g**2 - 85*g**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/920 and 53\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-11\/2)*s*s**(-4\/3))**24)**(1\/6))**30 assuming s is positive.\nAnswer: s**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 42. Let d(g) = -2*g - 28. Let x(i) = 8*d(i) - 5*o(i). Determine x(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7501 times 0.3\nAnswer: -0.82503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 11. Let h(f) = -f - 12. Let t(z) = 6*h(z) + 7*i(z). Let d be t(-2). Let -12 - 3*r - 3*r + 12 - d*r**2 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -14.9. Let g = -13.0115 + k. Round g to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 66. Solve 4*k + u + 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7331, -14508, -21671, -28814, -35931, -43016, -50063, -57066?\nAnswer: -64019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6035202 is divided by 518.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9846 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83273579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171 times 1387?\nAnswer: -1624177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 16521*u - 6691003. What is v(405)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 + 2568\/7*c - 14628\/7*c**2 - 1058\/7*c**3.\nAnswer: -2*(c + 14)*(23*c - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*z - 6 = 0, 2*j - 4*z = 7*j - 19. Solve -10 = j*u - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2253 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 185 = -35*s. Let r = s - -42. Let p(u) = u - 2. Give p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -1.3. Let q = -0.5 + -0.5. Which is the biggest value? (a) v (b) 2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 2*z**2 + 4*z**2)*(-6 + 7 + 5) + (-z - z + z)*(-10*z - 2*z + 4*z) - 6*z**2 + 5*z**2 + 11*z**2 in the form k*z**2 + m*z + b and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 2*h**7\/21 + 23*h**6\/24 - 17*h**5\/6 + 35*h**4\/24 - 98*h**2. Factor t(z).\nAnswer: 5*z*(z - 1)*(z + 7)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7207804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83618066069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 222243121 (base 5) in base 11?\nAnswer: 6087a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-32)*(-570)\/5)\/(3\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 4*w - 2*g - 7, 4*g = -3*w + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -10)*(-1 - 8\/(-16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 234 = -23*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 25*a + 272, -4*j - 22*a - 17 - 6 - 249 = -26*a for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:05 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3709\/35 + 507\/5. Let c be 92\/10*(-2214)\/(-126). Let y = c + -1084\/7. Find the common denominator of l and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -232320.90668 and -0.4.\nAnswer: -232321.30668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 10*d**2 + 4 + 2 + d**3 + 22*d**2 - 6.\nAnswer: d**3 + 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28071*k = 28076*k - 83890000. What is k rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228 - -232. Suppose 2*h - 32 = -3*s, -v*s + 40 = -s + 4*h. Solve 0*n + n + 12 = -2*y, 2*n = 4*y + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 108772*k - 1196525. What is j(11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 353796811 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170270 is divided by 747.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 - l + 7. Let a be f(7). Let t(r) = 38 + 48 - 2*r + 2. List the prime factors of t(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 317618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyhyhyhcuhhuy. What is prob of sequence yc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4\/5 (c) -4 (d) -0.062 (e) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 1)*(17 - 11*q**3 + 11*q**3 + q**4).\nAnswer: -5*q**4 - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttd. What is prob of sequence tt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42 - (2 - 1)) + (-113 - -112). Let w be (-404)\/(-10) + (-39 - b). Which is greater: 44 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 53 = -26 - 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02100445 to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1)*(-1 + -1). Suppose 0 = p*g - 3 - 5. Suppose -2*o + 18 = 5*j, g*o - 4*j - 27 = o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15895, -15695, -15505, -15331, -15179, -15055?\n\"Answer: -m**3 + m**2 + 204*m - 16099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*u - 14*u + 50 + 37*u)*(-31 - 31 + 62 + 57*u**3) as o*u**2 + c*u**3 + s*u + w*u**4 + n and give w.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5462668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 10:15 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/3)\/r)\/r*r)\/r)**16)**(-2\/11)\/((r**0)**(-46))**(-1\/9) assuming r is positive.\nAnswer: r**(224\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 418011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z + 34. Let m be x(-7). What is the second smallest value in -2, m, 13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 84*g. Let o(i) = -6*i. What is y(o(k))?\nAnswer: -504*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2272*m - 20449. Determine l(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 818*w + 6466. Determine m(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 262?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - -129. Let p be 4\/12 + i\/12. What is the third derivative of -76*u + 15*u**3 + 76*u + p*u**2 wrt u?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224620547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) -3 (c) 0.553 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uug when three letters picked without replacement from uguuzgggzgzzguz?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 - 1361*c**3 - 9*c**2 + 12249*c = 0.\nAnswer: -3, 0, 3, 1361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 8 = l, -5*w = -1540*l + 1538*l - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92432?\nAnswer: 2, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*j - 7 = 0, -4*a + 2*j - 4 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*a**3 + 0)*((-2 + 2 - 1)*(0*a - a + 2*a) + 6*a + 0*a - 2*a).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 708.1107g?\nAnswer: 708110700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -9340776.\nAnswer: -9340776.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:04 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 194700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*y + 59, 2*y + p - 2*p - 31 = 0. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3855762 divided by 9.\nAnswer: 428418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47 and 167?\nAnswer: 7849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633 divided by 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o + 285 = 2*h, 0 = 4*o + h - 228. Calculate the remainder when o is divided by 6\/30 + (-432)\/(-15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23925 is divided by 245.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*n = -395, 607 - 236 = k - 4*n. Let u = k - 251. What is the highest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*g - 79. Let b be (g\/(-22))\/(2\/(-4)). Suppose 4*j + 1 = b*j. Solve -y + j = -2*x - 1, 4*y - 5*x = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7063697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2, 50, -3 in descending order.\nAnswer: 50, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 99. Suppose -j*c - 795 = -2*o + 163, 5*o = 3*c + 1435. Is 118\/4*c\/(-10) - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1485*1\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1068)\/(-240) + (-2)\/(-8) and -143\/426.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.64 + -186.64. Sort -5, h, 2 in decreasing order.\nAnswer: 2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44903 is divided by 22131.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -531 or -532?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/4)\/w*w\/((w*w**(-10))\/w))\/(w**(2\/7)*w*w**5\/w) assuming w is positive.\nAnswer: w**(167\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose -8*g + y*g + 65 = 0. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 124410?\nAnswer: -124402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.62789 and -54.3.\nAnswer: -53.67211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8008 and 74074?\nAnswer: 296296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 25. What are the prime factors of t(12)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -491, -635, -779, -923, -1067?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknnknnfn. Give prob of picking 2 k, 1 f, and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8707 - -8717. What is the fourth biggest value in -1\/11, 0, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 4. Suppose 2*c - 10 = 2*a, 2*a - 4*a - 2 = 0. Let i(x) = -5*x**3 - 2*x**2 - x. Let y be i(-1). Let z(r) = -y - 1 + 6. Give c*z(s) + b(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2\/3, 0.4, -78, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 3288*t**2 - 65160*t - 324800.\nAnswer: -2*(t + 10)**2*(t + 1624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -464*t + 440*t. Are -1\/113 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**2 + 0*g + 0*g**3 + 1\/168*g**8 + 0*g**7 + 0 + 0*g**4 + 0*g**6 - 1\/20*g**5. Find the third derivative of r(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/14 (b) 1\/6 (c) -4 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 10 - 19)*(3 - 3 + o**2) to the form d + j*o**2 + s*o and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108637 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -69570756\nAnswer: 486995292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -53*i**2 - 6*i. Let p = -10768 + 10251. Let u(d) = 4559*d**2 + 517*d. Calculate p*l(g) - 6*u(g).\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/561? (a) -0.1 (b) 1 (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -52?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 18. Let p = i + -7.15. Let a = -0.05 - p. Is a less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 30759?\nAnswer: 215313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10775.3*-2933.\nAnswer: 31603954.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -12, 2.4, -0.1, -468?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*l + 8. Suppose 7*o - 5400000 = l*o. Round o to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 4. Let z be a(0). Suppose -2*b - z*l - 2 = 0, -b - 4*l - 5 = -0*l. Let h be -3 - (-4)\/(-4)*-3. Solve b*p + h*p = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -162.8552\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*l - 26. Let h(x) = -4*x - 5. What is h(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -2, -3, -4\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**2 + 7*g - 13. Let n(c) = 13*c**2 - 203*c - 78. Let f be n(16). Determine d(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(-1)*(-60)\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*9\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63911 is divided by 726.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.01901 and 14.\nAnswer: -14.26614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045374111 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1602893\/333072 - 1\/20817. Find the common denominator of d and -71\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 * -0.1\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) + -4*(sqrt(77)*1 + sqrt(77) + sqrt(77)) + sqrt(77)))\/((sqrt(11) + sqrt(176))*-2 - sqrt(44)\/sqrt(4)*1) + -2.\nAnswer: -40*sqrt(7)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 353.5 * -0.3.\nAnswer: -106.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 < 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-18))\/(-2))\/(56\/224)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -0.5, -4, -695 in decreasing order.\nAnswer: 3\/8, -0.5, -4, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.025 * -3.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9208914 and 11154?\nAnswer: 119715882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-4)*1)\/((-6)\/(-8)). Sort -0.6, 1, -0.5, y.\nAnswer: y, -0.6, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 6. Suppose -4*z - 2*t + 12 = 0, z + 2*t + 18 = 3*z. Find the second derivative of -q*h**3 - z*h**2 - 2*h - 2*h + 5*h**2 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 3 + 6*j - 10*j**2 + 3*j - 5*j**3 + 4*j**3. Let m be h(-11). Let p = m + 76. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0712 - 3.0712. Put -0.3, 1, h, -2\/5 in ascending order.\nAnswer: h, -2\/5, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9847032*c*l**3 + 2*c*l**2 + 363*c + 2*l**2 + 13*l + 1 wrt l?\nAnswer: 59082192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 252, 377, 502?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40, 1.2, 1\/5, -371.9, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -9. Suppose 5*f - 2*r = -120, -4*f + 3*f + r = 27. Let a = -70\/3 - f. What is the third biggest value in l, 0.3, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 461 - 2789 = 0. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**0\/((q\/(((q*q\/(q\/(q*q\/(q**(-7)*q*q))))\/q)\/q))\/q**(-3\/5)) assuming q is positive.\nAnswer: q**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -1061*c**4\/4 + c**2 - 1006*c - 1043. Find the second derivative of u(i) wrt i.\nAnswer: -6366*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-40))\/((-2125)\/(-170)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 + 1000011101001?\nAnswer: 1000101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -22, -33, -58, -103, -174, -277?\n\"Answer: -s**3 + 2*s**2 - 2*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 529 + -287. Let i(y) = y**2 + 9*y + 27. What is the remainder when z is divided by i(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -42*s**2 + 303*s + 40. Give w(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70990 and 2108.\nAnswer: 2413660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 937782779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 833\/2521 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:32 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2 = 4*a + d, 34 = -3*a - 8*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5681242263.\nAnswer: 3, 283, 6691687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(0*v + 0*v - v**5) + 0*v**4 + 0*v**4 + 6*v**4 - v**5.\nAnswer: -2*v**5 + 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*g - g - 318, g + 160 = a. Let v = 211 - a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/18 (b) 0.3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(288)*-1*2 - sqrt(288))\/sqrt(12))\/((sqrt(88)*-1 - sqrt(88))\/sqrt(11) + (-6*1*sqrt(8) + sqrt(8) - sqrt(8))))**2.\nAnswer: 27\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4 = 0, 43 = -3*b - 46*w + 48*w + 2 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11853, -94687, -319517, -757341, -1479157, -2555963, -4058757, -6058537?\n\"Answer: -11833*t**3 - 3*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(252)) + sqrt(252)*-2.\nAnswer: -17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.6, 29, -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 + ((-960)\/(-17))\/4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134324 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**8)**(-10) assuming n is positive.\nAnswer: n**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287160 and 5640?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 + z**2 + 1. Let y(x) = 27092*x - 27092*x + 3*x**2. Determine p(y(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113*u**3 - 5*u**4 + 47*u**3 + 11*u**3 + 89*u**3.\nAnswer: -5*u**3*(u - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*u - 133*u + 807. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**3*n - 2*i**3 - 83*i**2*n - 5*i**2 + 138*i*n - 31*i + 2*n - 1 wrt i.\nAnswer: 60*i*n - 12*i - 166*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:45 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -743 - -746. Let w(r) = 2*r - 11. Determine w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 24 = 6. Solve -2*v = 5*g - c, 4*v + 4 = 2*g + v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75768007 to the nearest integer?\nAnswer: 8704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8300?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001632446 rounded to seven dps?\nAnswer: -0.0001632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/80 and -23\/4520?\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1718194*f**3 + 1718163*f**3 + 4391 - 4391.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2846, -5752, -8720, -11750?\nAnswer: -14842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.10598479048698 and -0.7.\nAnswer: -0.80598479048698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 478224.81 minutes?\nAnswer: 332.1005625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = r, 4*r - 37 = -5*l - 34 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(8\/(-60)). Suppose 0*o = -2*o + 6, z*q = -o + 8. Let v be 280\/160 - 2*1. Is v less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/44 and 8\/1551?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 9*o - 10*o + 16*o - 4*o - 3*o. Let p(l) be the second derivative of 11*l**3\/6 - l. What is p(z(x))?\nAnswer: -55*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68678910 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 895*m**4\/12 + m**3\/3 - 121*m**2 - 34*m. What is the second derivative of w(l) wrt l?\nAnswer: 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 3. Suppose l + 4020008 = -3*g + 3*l, p = l. What is g rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3588\/(-414))\/(10\/15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-70) - (-837459162)\/(-2835). What is m rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 52 - 2*k)*(-5*k + 3*k - 6*k)*(-k**2 + k**2 + 2*k**2).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1378 (c) -2 (d) -11 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000169742 to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.6 + 8.7. Which is the third biggest value? (a) o (b) -4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 400, 477, 538, 577, 588, 565?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-11 - (4 - 1 - 9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:06 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-256)\/136 - 2\/17. Let o(u) = u**2 - 1. Let x(t) = -4*t**2 - 17*t + 2. Let g(y) = m*o(y) - x(y). What is the second derivative of g(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 51. Let a(v) = 4*v**2 + 2*v + 2. Let x be a(h). Suppose -5 + 29 = x*j. Solve s + 4*y = -0*y - 17, 2*y + j = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 1 - -6 - (74 - 63) - (8 + 2)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*0.06.\nAnswer: -4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-8) - (-3)\/(-12). Suppose -3*a = 2*l - 25, -s*l + 4*a = -l. Solve 0 = -i + l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/18)\/((-4)\/(-80)*5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6*t = -4*t - 9, -1 = l - 3*t. Suppose 4*u + 4*q = 112, 3*u - l*q - 55 = 5. Solve 7 = -p - 2*a, 5*p - 5*a = u + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 14 = -30*h. Let g(x) be the first derivative of 0*x**2 + 3 - h*x + 0*x**3 - 3\/4*x**4. Find the first derivative of g(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 5*s + s**3 - 6*s**2 + 3*s - 5*s**2 - 3. What is i(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9815930 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 + 2*g - 4. Let z be f(3). Let d = z - 135. Let a = -33 - d. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(5\/3))**(-45)\/(c*c*c*c**(1\/20)*c**(-1\/4)))**1 assuming c is positive.\nAnswer: c**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvwhhvpruvv. What is prob of picking 2 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 21. Let p be g(16). What is the second smallest value in p, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 823, -2, 1307 in decreasing order.\nAnswer: 1307, 823, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v. Suppose g + 3*g = 64. Suppose 2*w - 3*i - 24 = -4, i = -5*w + g. Solve v*q - 20 = 5*q, w*q = 5*o - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5208603, 1\/7, 0.2, 1 in ascending order.\nAnswer: 1\/7, 0.2, 0.5208603, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1320 and 4345?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*s + 47*s - 90*s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*q**2*u**2 - 155*q**2*u - 74*q*u**3 + 437*q*u + 4*u**2 wrt u.\nAnswer: 36*q**2 - 444*q*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:14 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 57 - 575477*p**2.\nAnswer: -575477*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8101*h + 2414034. Determine w(298).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1 - 6*f + 0*f - 4*f + f. Let i(p) be the first derivative of -5*p**2\/2 - p + 5. Let z be 2*(0 + 3\/2). What is z*a(o) - 5*i(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - 2*j**3 - j**3)*(3 - 1 - 5)*(j + j + 2 - 3*j).\nAnswer: 3*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, h: 1, i: 9}. What is prob of sequence ik?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l + 16 = -c, 3*l + 4*c = -14. Let v be (-4)\/14 - 243\/7. Let w be (-14)\/v + 44\/l. Sort 7, -2, w.\nAnswer: w, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 11. Let f = 0.58 - -20.17. Let i = c - f. Round i to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34305?\nAnswer: 3, 5, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 1.6\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.197\nAnswer: -0.00985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) 0.46 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-3930)\/600 + (-6)\/(-20).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2*q**3\/3 + 3*q**2 - 8*q + 2. Let l be n(-6). Suppose -2*y + l + 14 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 1, y: 7}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67097194179 from 2.\nAnswer: 67097194181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 16510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -7 + 6 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8608*z**3 - 36*z**2 + 3*z + 3. Let n(t) = -395460126*t**3 - 1653888*t**2 + 137824*t + 137824. Calculate 137824*c(v) - 3*n(v).\nAnswer: -8614*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*n = 0, -3*g + 243 = -5*n. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.753 - -0.6. Let g = -0.053 - s. What is the closest to g in -5, 1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.81 and -0.52?\nAnswer: 1.4612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 5*j - 29895, 37425 = 5*w + 5*j. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i - 2*c - 49 = 0, c + 95 = 2*i. What is the remainder when 185 is divided by i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2535*a - 7607. What is d(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -173*j + 149*j. Solve -j*t + 15*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21839, 21840, 21841, 21842, 21843?\n\"Answer: a + 21838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbbbbibyyibyby. Give prob of picking 4 b.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 10*q + 13. Let l be u(-9). Suppose l*c - 5*f - 212 = 0, 4*c + f + f - 184 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 283, 0, -7, -3, 3, 2\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -730, 4 in decreasing order.\nAnswer: 4, -8, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t - 1. Give b(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501951 - 2707*m**3 + 501951.\nAnswer: -2707*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/10 and -107\/1820.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:24 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1421 - 164*g - 459 - 499 - 463.\nAnswer: -164*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n - 23*n + 45*n)*(-20 + 34 + 1 + 401).\nAnswer: 15808*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 96*s**3 - s**2 + 2*s + 2. Let v be l(-1). Let j = v + 101. Solve -j*w - t = 2*t + 23, 0 = -5*w + 4*t - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4, -1\/39, -1028?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 688 + -483. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.415694 years in millennia?\nAnswer: 0.000415694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77185.\nAnswer: 5, 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*s + 9, 4609*s + 4610*s - 9212*s + 3 = 3*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 685 - -143099?\nAnswer: 143762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 240*y**2 - 76324*y + 1272.\nAnswer: 4*(y - 318)*(60*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/540 (b) -2\/15 (c) 0.3 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 8*r - 2*r + (2*r + 3 - 3)*(-2 + 4 - 4).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1 + (-1 - 2 - 2)*(1 + 0 - 2))*(0*u + u + u + 8) in the form n + g*u and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/31, -0.06, 328 in descending order.\nAnswer: 328, 1\/31, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, -106765 in decreasing order.\nAnswer: 3, -4, -5, -106765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h**7*h*h*h))\/h*h\/((h*h**(1\/5))\/h))**(1\/20)*(h**(-2\/3))**(-1\/7)*h**(1\/7)*h**7 assuming h is positive.\nAnswer: h**(14339\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 71*i**2 - 419*i\/2 + 139.\nAnswer: -(i - 139)*(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439.8 + 445.4394. Round w to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, r: 11, n: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/58 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 168 and 0.04?\nAnswer: 167.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/2 - (-105)\/70. Let b(c) = -4*c + 3. Determine b(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 27. Let h = 11 - l. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.6547 - -0.0453. Let x = -43.8 + z. Which is the nearest to x? (a) 7 (b) 1\/3 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, n: 8}. What is prob of sequence nnjn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 37*k + 1. Let q(w) = 149*w + 5. Determine 9*h(u) - 2*q(u).\nAnswer: 35*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*m - 34, -4*u - 4*m - 18 = 14. Put 2, u, 3, 436 in descending order.\nAnswer: 436, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 46. Let g = 150.254936 - 172.255. Let p = g - f. What is p rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:44 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - u + 1049492, 0 = -4*o + 4*u + 448247 + 391337. Suppose -31098 = 6*m - o. Round m to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -14368*t + 2. Let j(c) = -2*c. What is u(j(k))?\nAnswer: 28736*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 2\/19 (c) -0.4 (d) -0.5 (e) -4\/3 (f) -0.165\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*q + 2*q + 365, 0 = -4*g - 2*q - 302. Let r = g + 392\/5. What is the nearest to -0.1 in r, 4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.35 (b) 0.5 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*5)\/((sqrt(40)*2)\/sqrt(10)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 29*n**4\/24 + 8*n**3\/3 - 14*n**2. Let z(o) = -10*o - 5. Let j(y) = 3*q(y) + 8*z(y). Differentiate j(u) wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 17. Let v be h(-14). What is the remainder when ((-144)\/(-63))\/(v*(-2)\/42) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-33) + (-21)\/36. What is the third smallest value in -11, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*o - 270*o + 158*o - 314*o.\nAnswer: -1106*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 2*l + 19 - 15 - 47 to q + t*l and give q.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5))**15\/(k**(-20)*k**(3\/8)))**2 assuming k is positive.\nAnswer: k**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2909*j - 29095. Give a(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6575.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 31*u + 24 = 0. What is the highest common factor of u and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12386\/3 + 4128. Let u = 8 + -8.5. Let v = 5 + -5.4. What is the closest to n in u, -1\/9, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**2 + 14437*f*i - 111*f + 162371*i + 243 wrt f.\nAnswer: 14*f + 14437*i - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence racq when four letters picked without replacement from lraarcarqrlllllru.\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:23 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1714 - 1694 - (-2 - (5 - 31)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 252926118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 10 - (0 + -3 + -1 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.4294 weeks in nanoseconds?\nAnswer: 28080501120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39288 + -20001. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**38\/(j\/(j\/j**(2\/7)))*(j**(-12\/7)\/j)**(2\/21))**17 assuming j is positive.\nAnswer: j**(93602\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v + 24. Let t(x) = x**3 + 33*x**2 + 154*x - 134. What is the least common multiple of t(-27) and v?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 14103025?\nAnswer: 14103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/12 - b**3\/6 + 8*b**2 + 4*b + 4. Let a(z) be the first derivative of d(z). What is the units digit of a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by -6\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-5)*6 + 136 + -194.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - z - 12 = 0, -5*z - 38 = 2*d + d. Let o = -8 - d. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2179, -4353, -6523, -8689, -10851?\n\"Answer: 2*i**2 - 2180*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 79 in increasing order.\nAnswer: 3, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 + -384 - (-2540)\/22?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(1728))*5 - (sqrt(432)*1 + -6*sqrt(432)))**2.\nAnswer: 3600*sqrt(3) + 97300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -405*n**4 - 1014*n**4 - 117*n**4 + n**3 - n**3 - n**4 + (3*n**4 - 5*n**4 + 0*n**4)*(-1 - 2 + 1) + 5*n**2 + 2*n**4 - 5*n**2 + 4*n**4 + 2*n**4 - 4*n**4.\nAnswer: -1529*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110574.4653 rounded to the nearest one thousand?\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 0*b + b**3)*(-4 + 2 + 1) - 78*b**3 - 115*b**3 + 16*b**3 + 0*b**3 + 0*b**3 - 2*b**3 to r*b + x*b**2 + w + c*b**3 and give c.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325)\/364 + 3\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107176446 is divided by 71?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 + 2*k + 2. Let y(s) = 8*s**2 - s - 2. What is -6*o(f) - 5*y(f)?\nAnswer: 2*f**2 - 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*g + 165*g = 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (10 + -17 + -12 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 z when three letters picked without replacement from zzawaaawawzwaz?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 47. Let u be h(-26). Suppose -5*y - 24 = -2*m + 656, u*m - y = 1746. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 298 + -664. Let d = -351 - w. What is the greatest common factor of d and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 3*u**4 + u**4 + (-2 + 2 + 2*u)*(-3*u**3 + 6*u**3 - u**3) + u**4 + 0 + 0.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t + 125*t + 75*t + (3 + 1 - 5)*(2 - 2*t - 2) - 11*t - 7*t + 4*t to the form y + i*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (3 + sqrt(833) + -1 - sqrt(833) - ((sqrt(833) - ((3 + sqrt(833))**2 + sqrt(833))) + -1)) + 2).\nAnswer: -3368 - 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9546*j**2*p**3 + 2*j*p**3 - 2*j*p**2 + 108*j - 4*p wrt j?\nAnswer: -19092*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 22861.\nAnswer: 14\/22861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1459 divide 781555661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47960669 to the power of 1\/2, to the nearest integer?\nAnswer: 6925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -2642?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 3. Suppose -v + i = -0*i - 5, 4*v + 2*i + 10 = 0. Let u be 1 + v - 4 - (-6 + 0). Calculate w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 24 = -7*l - 3*y, -5*y = 3*l - 37. Solve -3 = -l*t - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-17)\/(2856\/21))\/((-1)\/2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*c**3 + 64\/7 - 12\/7*c**2 + 0*c = 0 for c.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 o when three letters picked without replacement from vociiopav?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354 = -0*j + 175*j + 3022 - 576 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*o + 190*o - 11248 = 76*o - 196*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3323, 4\/25, -2\/19, 5, 3?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 15*t = -84. Let g be 49\/t + 3\/(-12). Is (-90)\/(-1 - (g + 2)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-12)\/45)\/(6\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -58 (c) 6\/7 (d) 3\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + f - 2 = 0, 16 = z + 3*f. Let i be (-3)\/20*(-21 - -25). Sort i, 0.21, 4, z in increasing order.\nAnswer: i, 0.21, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4476, 1, 4\/5, 4, -10 in decreasing order.\nAnswer: 4, 1, 4\/5, 0.1, -10, -4476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56308843114514 - 0.1.\nAnswer: -56308843114514.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3688)\/(-10))\/((-6)\/(-645)). Is (-8)\/12 + y\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*w + 2465 = -5651 - 2799 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 2*q**3 + 82462695*q**2 - 2906 - 82462695*q**2 to h*q**2 + l*q**3 + n*q + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 46*o - 3, 2*p + 18288*o = 18293*o + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**4 - 8*k**4 - 1 + 21*k**4 - 2*k**2 - 4*k**4 - 2*k as x*k**2 + q*k + l + v*k**4 + j*k**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*b + 56*b - 47*b to the form d + k*b and give k.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 726\/1295 - -2\/185. Suppose -3 = -2*v + 5*v. What is the closest to v in 2, -14, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k - 1. Let x(f) = -5*f**2 - 5*f - 5. Suppose 0 = -3*h + 3 + 9. Let w be (-2)\/(-4) - (-14)\/h. Calculate w*b(a) - x(a).\nAnswer: a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) + 6\/21. Suppose t = 4*g - 6*g + 90. Let x be 9\/g - 12\/10. Which is smaller: 2\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/2)\/(-21)*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = k. Suppose -k*r - 3 = -7*r. Suppose 4*l + r*z = -0*z + 47, 2*z + 76 = 5*l. Calculate the remainder when 54 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-2 - -37 - -3). Let f be s\/(-18) - 8\/36. What is the remainder when 3*((-39)\/(-9) - f) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480960 is divided by 3306.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -2 - (-4 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 216 and -49.\nAnswer: -10584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.21009?\nAnswer: 0.21009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t - 8. Calculate j(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930 divided by 186.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2 + -5 + 3 + (-3 + (sqrt(11)*4)**2 + sqrt(11))*4.\nAnswer: 5*sqrt(11) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from mmylmylmmymylllmm?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 6. Let o(h) = 20*h**2 - 5*h - 5. Let i be o(-1). Let q be s\/i*(-2)\/1. Is q less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 4. Let v be h(-7). Let t(g) = -g**2 - 6*g - 2. Determine t(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - 0) - (-287 + 276).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114027 and 24?\nAnswer: 912216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55744355 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avm when three letters picked without replacement from {b: 2, m: 2, v: 4, a: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051226 (base 8) in base 4?\nAnswer: -1011022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337563041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 1.9794 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 - 185. Let d(j) = j**3 - 24*j**2 - 21*j - 16. Calculate the remainder when d(25) is divided by 6 + (-8)\/a - -24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + -7)\/(2\/3*-3). Solve -g = 4*c, -2*c = -2*d - 0*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725143010?\nAnswer: 2, 5, 31, 67, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2190.53 + 13.369?\nAnswer: -2177.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -0.07, 532, -0.3, -0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 10*f - 5. Calculate the remainder when v(-6) is divided by (21\/3)\/((2 + 1)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 4*f**3\/3 - f**2\/2 + f + 2. Suppose 2 = 3*v - 1. Let m be g(v). Solve -2*p - 1 = -5*l - m, -2*p = l - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.61343 millilitres in litres?\nAnswer: 0.05461343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110112\/10 + 3*58\/(-145)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97074 + 97011.441. What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 1. Let k be f(0). Let o be k\/(-3) - 8\/(-24). Suppose o = -5*l + 435. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2) - (-2)\/(-4). What are the prime factors of -1 + -2 + 124 + 2\/k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4526, -18075, -40650, -72245, -112854?\nAnswer: -162471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y**2 + 29*y + 96. Give q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.344 - 0.044. Let c = g + 0.7. What is the smallest value in -0.04, c, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1*(8 + -3). Suppose 4*v + 4 + h = -k, -3*k - 10 = 2*v. Let o = 2 + k. Is 1\/14 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 - 178.8. What is the smallest value in -2\/5, 2, 7\/2, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*d + 5*j + 3, -5*d = -4*j + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = 2*g - g, 5*g = -k + 24. Suppose 6*q + 25 = 2*l + q, g*l - 17 = -q. Solve -4*w - l + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 5*j**2 + 7*j - 3.\nAnswer: (j - 3)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 30*a + 3150. Let o be w(-105). Are 2\/6749 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggig when four letters picked without replacement from gigiiggiiggigiiigiig.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24220 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*k**3 + 402*k**3 + 392*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1689776146.421 and 81?\nAnswer: 1689776227.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*x**3 - 14*x**3 - x**5 - x**2 - x**5 + x**2 + (-x**3 + 4*x**3 - x**3)*(x**2 - 6*x**2 + 2*x**2).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3983 + 6848. Suppose 6*h - h + q = 0. Let k = h - -1714. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 35 = -3*p. List the prime factors of (16\/14 - 2)*p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15502 and 1012?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times 63593?\nAnswer: 8521462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -33 - 31 - -24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from {q: 1, m: 3, d: 2, t: 1, x: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 5*p**2 + 29*p - 9. Calculate the remainder when q(8) is divided by 63\/4 + (-1)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 53 = -4*o. Suppose 5*x + 0*x = s - 93, 0 = 3*s + 6. Let c = o + x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*sqrt(2880) + sqrt(2880))**2.\nAnswer: 141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - 144. Let h = -1043\/5 - c. What is the smallest value in -1, -4, -1\/5, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Suppose 8 = 7*v + 169. What is the units digit of n + v*(-3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/5))**(-6\/17)\/(u*u**5*u*u)**(-44) assuming u is positive.\nAnswer: u**(29884\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 a factor of 252835347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945816 is divided by 83?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*a**3*o*r - 2*a**3*o - 9*a**3 + 12*a**2*o - 33431*a*o*r - 2131*o wrt r.\nAnswer: -102*a**3*o - 33431*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11139 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 10200000000?\nAnswer: -10200000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*u = -6*u - 25, 4*w + 4*u = 20. Factor -3*h**4 - h**3 - h**3 - h**5 + 5*h**3 - w*h**3.\nAnswer: -h**3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k**3 - 14*k**2 + k + 29. Let a(c) = -7*c**3 + 13*c**2 - 30. Let x(s) = 7*a(s) + 6*b(s). Let j be x(7). Solve -j*w + 10*w = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -60, -92, -136, -192?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -6*x**5 - 291*x**4\/2 - 30*x**3 + 291*x**2\/2 + 36*x = 0.\nAnswer: -24, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41005651?\nAnswer: 41005651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12099*t + 12099*t - t**2 - t**2 - 3*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*v + 863 = 240 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 380 - 378. Suppose 4*m - 4*y - 1568 = 2*m, 4*m = h*y + 3136. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21.3? (a) -2 (b) -2\/5 (c) 0.07 (d) -3\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(1\/3). Let z(t) = -14 + 3*t - 5*t + 4*t**k + 16 + 0*t. Calculate z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -1, -236 in increasing order.\nAnswer: -236, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6269 is divided by 1564?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30247 = 3*o + 2*b, 4*o - 5*o - 4*b + 10099 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 1. Let w(j) = j + 20. Let n(m) = -3*c(m) - w(m). Let y(t) = 8*t + 29. Let g(q) = -5*n(q) - 4*y(q). Let i(l) = -4*l**2. Give i(g(z)).\nAnswer: -36*z**2 + 24*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwxx when four letters picked without replacement from xxxkxxxxw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 b, and 1 s when four letters picked without replacement from dsndsndssnnnnsnbnbbn.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125100 is divided by 590.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/126 and 111\/214046.\nAnswer: 1926414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, -0.03, -37, -4 in ascending order.\nAnswer: -37, -4, -2\/3, -0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + 9 - (0 - (-5 - -4) - -5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 26. Suppose b = -10*o + 6*o + 16. Differentiate -1 + 0*f**4 - 16*f**o - 11 - 1 wrt f.\nAnswer: -64*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173604.8t to micrograms.\nAnswer: 173604800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27172408 or -27172410?\nAnswer: -27172410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8223*z**2 + 8343 - 3539*z**2 + 1819 wrt z?\nAnswer: 9368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 438*j**2 - 29*j + 6346. Give f(219).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102012 - 200000?\nAnswer: -100002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189 - 16163*a**2 - 2740*a**4 - 166 + 16158*a**2 wrt a.\nAnswer: -65760*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjihhllhlshjhhjzjz. Give prob of picking 1 z and 1 s.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose -5*d = -2*d - 12. Solve d*i + 4*p + 24 = 0, -s*i - p = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 17*x - 84. Calculate r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152430 (base 6) to base 10.\nAnswer: -14850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54011 = -25*x + 189311. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 - 11*y**2 + 6*y**2 - 9*y**2 + 7*y**2. Let v(r) be the second derivative of -10*r**4\/3 - 5*r. What is v(j(k))?\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 2*j)*(2 - 3*j - 2) + (2*j**2 - 1 + 1)*(4 + 4 - 2).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**3\/9 - 2*p**2 - 6*p - 2. Factor o(d).\nAnswer: -2*(d + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1041 - 1043. Let n = -6 - -9. What is the closest to 0.04 in 4, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7653 divided by -2551.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*f + 3, 4*m + f + 4 = 8*m. Put m, -1099, -1 in decreasing order.\nAnswer: m, -1, -1099","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 26. Suppose 0 = -m*i + 10*i - 333. What are the prime factors of i?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32877015, 65754032, 98631051, 131508072, 164385095, 197262120?\n\"Answer: c**2 + 32877014*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24786 and 2958?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001155077 to seven decimal places.\nAnswer: 0.0001155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 5*p**4 + p**4 + (p**2 + 2 - 2)*(2*p**2 - p**2 + 0*p**2) + 2*p**4 + 3*p - 3*p - 20*p**4 + 3*p**4 - 29*p**4.\nAnswer: -47*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -14 - 0. Let q(g) = 2*g**2 - 3*g + 3. Let u(j) = j**2 - j - 1. Let f(t) = -6*t**2 + 7*t + 3. Let b(z) = f(z) + 5*u(z). Calculate l*q(m) + 3*b(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/2756 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -26. Suppose -k*h + 113 = -3*u - 693, h - 4*u = 403. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 7*p**2 + 4*p - 7. Let q(c) = -4*c**3 - c**2 + 1 + 2*c**3 + 4*c**2 + 2 - 2*c. Let y = 24 - 40. Let w be ((-3)\/4)\/(4\/y). Give w*j(m) + 7*q(m).\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 7*f + 902 - 83 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty-two sevenths of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/140? (a) 2\/3 (b) 1\/11 (c) -2\/9 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q - 127. Let i(y) = 10*y + 98. Let t(s) = 4*i(s) + 3*m(s). Calculate t(23).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -210*g**4 - 2*g**2 - 11*g - 9. Let q(c) = -316*c**4 - 4*c**2 - 16*c - 14. Let w(o) = 8*n(o) - 5*q(o). Find the second derivative of w(m) wrt m.\nAnswer: -1200*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 82. Let c = x + 58. Suppose 9*l - c = 162. What is the remainder when 108 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -174?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = -20200000. Round u to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/107744 and 125\/72047066.\nAnswer: 1152753056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (467 + z - 184 - 222)*(-2*z - 4*z + 4*z) to the form w + o*z**2 + q*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 167*z**2 + 5*z + 830. Determine f(-167).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.37 - -3.37. Let x = -0.4 - -0.8. Suppose m - 2*m - z - 3 = 0, m = -2*z - 3. Which is the biggest value? (a) x (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/15 - 239*i**5\/20 + 845*i**4\/12 - 463*i. Find the third derivative of o(q) wrt q.\nAnswer: 48*q - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*t**2 - 342*t - 49*t - 148*t**2 - 2 + 310*t**2.\nAnswer: 11*t**2 - 391*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20227781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 585879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r + 8316, -2*w + 4158 = 22*r - 23*r. List the prime factors of w.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 5*m**2 + 0*m**2 + (1 - 1 - m)*(-4*m + 0 + 0) + m**2 - m**2 + 3*m**2)*(119 - 32 - 33) + m**2 + 0*m**2 + m**2.\nAnswer: 434*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 bigger than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1424\/171 + 74\/9. What is the third biggest value in -0.5, 5, 2\/15, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3 - 2 + 24*r - 5 + 5. Is i(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53890 + -27823. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 - 4 + 3 - 6*p. Let t = -8 - -6. What is the units digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 674622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 0.03 (c) -4153 (d) 0.1 (e) 5 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/19*x - 2\/19*x**2 - 2\/19 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-i**2 + i**2 - i**3) + (i + 3*i**3 + 0*i - i**3)*(-3 + 4 + 0).\nAnswer: 4*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 381 - 411. Let r be 370\/525 - (28\/w)\/(-7). Factor 2\/7*y**4 + r*y - 6\/7*y**2 + 0*y**3 + 0.\nAnswer: 2*y*(y - 1)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344 is divided by 1073?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:55 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 11*a**6\/24 - a**5\/3 - 25*a**4\/8 - 7169*a**2. Let m(z) = 0. Calculate z.\nAnswer: -1, 0, 15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1761548 and 107460?\nAnswer: 237808980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*-1*(-3)\/(-9). Suppose 3*w = -s + 27, n = -5*s + 2*s. Suppose -13*x + 17 = -w. Solve x*m = -m - 5*b + 23, m = 3*b - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 7*c**2 - c - 3. Let z be p(-7). Suppose 3*l + 1 = 2*g - 11, l + 14 = z*g. Suppose v + 89 = g*u, -6 = v - 1. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 99. Let o = 1.2 - 1. Let f = 32 + -28. Which is the second smallest value? (a) f (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 5, -5, 7, 4 in decreasing order.\nAnswer: 7, 5, 4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - 1. Let l(h) = -3*h**3 - 6*h**2 - 3*h - 5. Let p(t) = l(t) - 2*o(t). What is the units digit of p(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 37*i = -30880000. Round i to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 3. Let w(c) = 3*c. Determine l(w(u)).\nAnswer: 9*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21629\/42 + -3508\/7. Find the common denominator of x and (222\/(-14))\/((-20)\/(-14)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + y)*(1 - 7 + 0)*(4 - 4 + 3*y)*(-40 + 116 - 23)*(6*y - 4*y + 0*y) in the form g*y**2 + t*y + i*y**3 + p and give i.\nAnswer: -1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61922952 by -15480738.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0, -0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1552000 - ((-2)\/8 + (-6)\/(-24)). What is n rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061293385 to five decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3426301 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/30 and 35\/24648.\nAnswer: 123240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c - 1003*c + 196*c + 209*c + 155*c to v*c + o and give v.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24 - 7.731.\nAnswer: -7.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 + 4*n. Let p = -987 - -960. Let u(t) = 42*t**2 + 27*t. Determine p*x(o) + 4*u(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 + 3*n - 9. Suppose -2*j = 3*c - 33, 3*j = 65*c - 64*c. Suppose 0 = 3*f + 4 - 1. Let v be (c\/5)\/((-9)\/30*f). Give r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 1. Let j(d) be the first derivative of 8*d**3\/3 + 7*d - 5. Let v(b) = -j(b) + 4*y(b). Let a(c) = -20*c**2 - 16. Give 3*a(r) - 16*v(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + a**2 - 27*a + 27*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 8*v - 19. Let m be (6 - 3)\/(4\/((-16)\/3)). What is the tens digit of l(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 13. Determine s(8).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 24*j - 48. Let t be p(2). Which is smaller: 1.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 162 and -52751.\nAnswer: -8545662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:28 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - n + 1 = -6, 2*n + 40 = 4*l. Let x be (-26)\/6 + 3\/l. Is 102\/30 + x\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:56 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-9 - (-2022)\/225). Suppose -17*i - a = -32*i. Solve 0 = i*d + x - 11, 4*d - 5*x - 32 = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7991 * -0.2\nAnswer: -1598.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(40)\/sqrt(4)*-5) - (sqrt(2) + -1 + (sqrt(2) - (sqrt(2) + -1)) - (sqrt(2) - (sqrt(162) + 0)**2)).\nAnswer: -162 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 292 + (-17)\/(119\/42). Let p = -573\/2 + a. What is the nearest to -2\/15 in p, -2\/19, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 0, 0.2, 0.1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -111012 (base 3) to base 8\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85260*f**3 - 85043*f**3 + 170032*f**3 - 4162*f wrt f.\nAnswer: -1626*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035092299 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763874526?\nAnswer: 2, 3, 41, 3105181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.5. Let l = -303.582 + 304.082. Let s = 0.8 + 0.2. Which is the fourth smallest value? (a) s (b) k (c) l (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 2*t. Let k be w(-2). Factor 8\/11*n + 0 + 2\/11*n**4 - 6\/11*n**3 + k*n**2.\nAnswer: 2*n*(n - 2)**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*h**2 - 3135*b**2*h*w**2 + 4*b**2*w**2 + 28827*b*h**2*w**2 - b*h*w wrt h.\nAnswer: -4*b**2 + 57654*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:05 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 252. Let c(f) = -6*f - 1. Calculate the remainder when v is divided by c(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310 - -1780. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/((-448)\/(-744)) - -56.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 4 - (-3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 1568264.\nAnswer: 6273056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 22*u**2 - 6*u + 15. What is the hundreds digit of n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 29. Suppose 4 = -w + f*w. Calculate the highest common divisor of w and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 8*h = -2*u + 65, u - 3*h - 10 = 0. Solve 6*n + 55 - u = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11998994\/29 at most -413759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2)*1*-18. Let z be 43\/(-3) - (-8)\/(-12). Let v be (k\/z)\/((-8)\/20). Is 3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4062 and 1272?\nAnswer: 861144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 18 - -4) + -12 + 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -26 + 10 - 42 + 2*w**2 - 63 + 15*w. Determine q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 11*d - 3. Let b be k(-6). Let v(q) = q**2 + 5*q - 4. Let u be v(-6). Suppose 3*o = -0*o + b*y, u*o + y = 3. Which is smaller: o or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 905837567*i**2*v**2 + 3*i**2*v - 1236*i**2 - i*v - 24*i - 8*v wrt v.\nAnswer: 1811675134*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deddddddddgded. Give prob of sequence dd.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 12:34 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 89, 28665 in ascending order.\nAnswer: -2, 89, 28665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 29 + 9 = 0. Let j(v) be the third derivative of 0 + v**2 + 1\/420*v**6 + 0*v**3 + 0*v**4 + 0*v + 1\/210*v**r. Suppose j(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 4. Does 4 divide 53 - a - (-2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhxeeehehe. Give prob of picking 1 x and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*i + 164, 2*i - 3*g = 280 - 116. Sort -3, i, 2.\nAnswer: -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -662.584 + -1.416. Let a = n - -664.3. Put a, 0.4, 0, 28\/13 in increasing order.\nAnswer: 0, a, 0.4, 28\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43220\/(-696) - (-1)\/6) + -21 + (-31564)\/(-1508)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -9733?\nAnswer: -972a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408650 is divided by 140680?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -455160 rounded to the nearest 1000?\nAnswer: -455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 38520.\nAnswer: -1\/9630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(40))\/(sqrt(800)*2) + (sqrt(30)\/(sqrt(6)\/sqrt(2)))\/(6*sqrt(4)\/sqrt(2)).\nAnswer: 17*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 0, 0*y + 2*t = -2*y + 24. Solve y = n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1145 and 341723189?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02834 rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13114 divided by -79\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243804554 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -876*q - 5265. What is r(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p**2 - p - 1. Let y(i) = -3*i**3 + 12*i**2 + 11*i - 32. Let k(t) = 4*c(t) + y(t). Does 13 divide k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 + 12 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20 - 0. Let i = p - -7. Let n(r) = -4*r. Let a(m) = -2*m. Let g(w) = 11*a(w) - 6*n(w). Calculate g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/1412 - 85943\/38124. What is the common denominator of ((-1496)\/(-357))\/(-44) + (-18)\/14 and z?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let x(b) = -1119*b + 2. Determine x(w(c)).\nAnswer: 1119*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68807735?\nAnswer: 5, 359, 38333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -573 - -1111. Suppose 2*h - 958 - v = 0. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 185*t - 21. Let g be n(4). Suppose 12 = -3*c, g = 5*h - 5*c - 66. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 265\/6. Let g(k) be the third derivative of 0 + 0*k - 2*k**2 - 1\/60*k**6 + 0*k**4 + 0*k**5 + w*k**3. What is the first derivative of g(q) wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.0691 - -7.04. Round q to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 1. Let n be k(-3). Suppose -j - 4*d = -6*j + 3, -4*d + 6 = -2*j. Does 10 divide ((-4)\/j)\/(n\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4450.\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -6158.416912?\nAnswer: -6162.416912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-45) + (-31808)\/(-3195).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(171)*-2*-3)\/((sqrt(99) - (sqrt(99)*-1 + sqrt(99) + sqrt(99) - sqrt(99)))\/sqrt(11)))**2 + 4.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12823 - -0.27177. Let m be (-2)\/((1 - 2) + 0). Which is the closest to m? (a) 4\/13 (b) 1\/8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooozzoooooozooo. What is prob of picking 2 z and 1 o?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 29. Suppose -2*y + 3*i = -5*y - 3, 5*y - 4*i + 41 = k. Let q be 0\/(-1 + (-2 - y)). Solve q = -f + u + 3, 0*f = -f + 4*u + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2\/5 + 38*f\/5 + 4 = 0.\nAnswer: -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1935, -10, 1, 11, -1 in ascending order.\nAnswer: -10, -1, 1, 11, 1935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-20))\/(2\/10). Let z(q) = -q**3 + 7*q - 8. Let g = 56 + -41. What is the remainder when z(j) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.52689782 to 3 dps.\nAnswer: 19.527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12417891 and -8.\nAnswer: -12417899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:22 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7110 divided by -6.\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w**3 + 6*w**2 - 4. Let p(q) = 17*q**3 + 5*q**2 - 3. Determine -6*p(a) + 5*s(a).\nAnswer: -12*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616 minus 1?\nAnswer: 3615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/((o\/o**26)\/o))))\/o)\/o)\/o**(-4\/9)*(o**(1\/4))**(-30) assuming o is positive.\nAnswer: o**(323\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -822*n**2 + 60*n - 58*n - 821*n**2 + 1654*n**2.\nAnswer: 11*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5015.947934 rounded to 1 decimal place?\nAnswer: -5015.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 5 - 18) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let t(i) = 482*i - 60. What is f(t(g))?\nAnswer: -482*g + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-2) - 1\/(-2). Let x = 15 + i. Suppose 25 = -0*p + x*p. Solve 0*o - 40 = 4*o + 5*y, -y - 29 = p*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/4*4 - -3. Suppose -s*m + 0 = -32. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*a**6 - 155*a**2 wrt a.\nAnswer: -7200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 - -87. List the prime factors of j.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12 + 128*n**3 - 69*n**3 + 2*n - 60*n**3 - 12*n**2. Determine z(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:14 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 17. Let n be (-16)\/(-6)*(4 - 7). Let q = f - n. Solve -1 + q = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxjgerj. Give prob of picking 1 v, 1 j, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(130) + sqrt(130)*1)*6)\/(-3*sqrt(40)\/sqrt(4)).\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 49*n + 531. Determine l(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.119565m?\nAnswer: 11.9565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13262 + -7907. Does 119 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.499 rounded to 1 decimal place?\nAnswer: 24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:33 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from bfjwwyfwfbw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*m - 7*m + 31*m + 847 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 225683970 - -202847?\nAnswer: 225886817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**2. Let j(b) = 9*b - 16*b + 8*b. Determine r(j(x)).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let i = 445 + -444. Let j(r) = -6*r - 1. Give i*j(n) + 4*x(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2901511.\nAnswer: 4\/2901511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525 + 581 = -54*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.67 + -0.33. What is the third smallest value in -0.5, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + -27 + -10 - 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and 119572 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41\/123 + 1\/(-3). Solve -3*x - 3 = u, -x - 2 = 5*g + x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 21. Let y(f) = 777*f + 3. Calculate i(y(n)).\nAnswer: -2331*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 0*w**3 - 3*w**3 + (3 + 2*w - 3)*(-2*w + 2*w - w**2) + 25*w**3 + 35*w**3 - 18*w**3.\nAnswer: 39*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1234321*a - 2468648. Give r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689982.6 micrograms to nanograms.\nAnswer: 689982600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 1)\/1 + -3. Is 15 a factor of 70\/p*(-16)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7283*h + 7252*h - 558 = 0 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000040002848 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536641152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v**2 - 44*v - 44. Let t(z) = z + 1. Give -b(k) - 44*t(k).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34234 + -205403\/6. Factor 0 + 2\/3*i - s*i**3 + 2\/3*i**4 - 8\/3*i**2.\nAnswer: i*(i - 2)*(i + 2)*(4*i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4677 - -12917. List the prime factors of c.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*s - 0*s. Suppose 3*t - 4*a = -0*t + s, 3*a + 8 = t. What is the lowest common multiple of 20 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:49 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c + 21. Let x(y) = 2*y. Let f(n) = -p(n) - 3*x(n). Determine f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 448, 900, 1362, 1834?\n\"Answer: 5*r**2 + 437*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 48*b**2 - 51027*b + 13230000. Let o(r) = -3*r**2 + 3188*r - 826875. Let l(p) = 2*m(p) + 33*o(p). Solve l(t) = 0 for t.\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:08 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(396)*1 + -1 + sqrt(396) - sqrt(396) - (-5 + (sqrt(396) - -1*sqrt(396))) - ((-3*(-1 + sqrt(396)) - sqrt(396)) + 6*-1*sqrt(396))))**2.\nAnswer: -64154 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(252) + sqrt(252) - ((-1*sqrt(49)*3)\/sqrt(7))**2.\nAnswer: -65 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2078282 + -6\nAnswer: -2078288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and 175.\nAnswer: 174.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from yaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 - 1) + -13. Let b = -10 - y. Suppose -5 = b*t - 53. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = -12. Let q be ((-195)\/30)\/(((-2)\/4)\/d). Suppose b = 3*g + q, 5*g + 0 = -b - 11. Solve 0 = -2*t - 4*o + 8, 3*o = b*t - 0*o + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 21 = -2*p, 2*o + 4 = 4*p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 134*q = -963 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/20 + r**4\/3 - 7*r**3\/6 - 3*r**2\/2 - 3*r. Is w(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 - 3*l - 2. Let g be d(-2). Solve -5*z - 5 - 10 = g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -17 - -4) + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 638 = -197 + 352 + 48 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 13138.\nAnswer: -52552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10.49, -1\/2, -0.2, -0.045 in decreasing order.\nAnswer: 3, -0.045, -0.2, -1\/2, -10.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 176797069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y + 2 + 2 - 3 - 2*y. Is l(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188+-3067.4\nAnswer: -2879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Let p = -467922806.00000009 + 467922808. Let r = p - g. Round r to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/9)\/((w**(3\/4)*w)\/w))\/(w\/(w**(-1)*w))**(-2) assuming w is positive.\nAnswer: w**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-18)\/9)*6949. Let v = t - 4380. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/42 and -3*5\/330*(-4 - (-160)\/6).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -99 and -1189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2)\/j))\/j)\/j**4*(j\/(j**(-4)\/j))\/j**(-2) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 26.87. Let j = z - 9.87. Let b = 625.5 + -628.5. What is the second biggest value in b, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3141 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.2 (b) 51 (c) -1 (d) 4 (e) 20426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 - 5*w + 3. Let z be (-13)\/(-2) - 185\/74. What is a(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213 times 0.9\nAnswer: 1091.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58756 and 13468?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 3*j - 4. What is the remainder when 6\/4*(-530)\/(-15) is divided by w(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -24*q + 3. Let c(i) = -25*i + 4. Let w(b) = 4*c(b) - 5*f(b). Is w(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a6508 - -3?\nAnswer: 10a6510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -5*x**4\/24 + x**3\/3 + 20*x**2 - 4*x - 5. Let o(z) be the first derivative of d(z). Let v(b) = -2*b**2. What is o(v(w))?\nAnswer: 10*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 224 = 2*t. Suppose -4362 = t*v - 27*v. Let k = 112638 - v. What is k rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2880) + -1 + sqrt(2880)*-2 - sqrt(2880) - (2 + (-6*2*sqrt(180) - sqrt(180)))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19112722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let b = -17 + 27. Let c be (3 - 1) + (6 - 15\/3). What is the closest to y in b, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 - -0.5. Let o = -10 - -4. Let p = -27 + 26. What is the smallest value in o, p, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102568047.\nAnswer: 4102568047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 19.4. Let l = 2.2 - j. Which is the biggest value? (a) l (b) 0.02 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2 + 5*u - 6. Let w(a) = a**3 - 6*a + 6. Let v(d) = -6*h(d) - 5*w(d). Determine v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423485?\nAnswer: 5, 84697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 13*x**2 + 24*x - 21. Let i(q) = 7*q**2 + 12*q - 11. Let r(u) = -11*i(u) + 6*s(u). Let d be r(-13). Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1175.0802 - 1.162.\nAnswer: -1176.2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 + 7*q**3 + 0*q**3 + 0*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/3332 and 11\/30821?\nAnswer: 123284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*j**4 - 701*j**3 + 4*j**2 + 2345528*j?\nAnswer: 2700*j**2 - 4206*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 8*i + 5. Let y be d(6). Let k = y + -17. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 22. Let c be r(9). Let x(d) = d**3 - 5*d**2 + 4*d - 2. Let j be x(c). What are the prime factors of (-177)\/j + 1 + 3\/6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n**3 - 4*n**2 + 4*n + 9. Calculate the remainder when 172 is divided by r(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b421 + -1439?\nAnswer: -1085a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -6\/419 (c) 2\/137 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3.9, -0.8.\nAnswer: -2, -0.8, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/(-24))\/((-15)\/54))\/((-264)\/(-6)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.3. Let s(k) = -k**2 + 12*k - 2. Let o be s(12). Let j be (4\/(-6))\/(o\/15). Which is the biggest value? (a) q (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*v = -393*v - 25. Suppose 2*k + k + 52 = v*p, 0 = -3*p + k + 32. Solve 1 - p = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i + 0 - 1\/180*i**5 - 4*i**2 + 1\/18*i**3 + 1\/72*i**4 - 1\/360*i**6. Suppose g(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6 - 7) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5248.834ug?\nAnswer: 0.000000005248834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1 - 1*35\/20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 1)*(-4)\/32*10. Suppose 0 = -2*o - 6*m + m + 53, -o + v*m + 49 = 0. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/14 and ((-27)\/(-72))\/(5\/92)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207193507 to the power of 1\/2, to the nearest integer?\nAnswer: 14394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2155 + -0.2155. What is the smallest value in -0.3, -1.83, l, 0?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1 - 2 + 2. Suppose -4*s = -7*s - 3. Let q(z) = -z**2 + 3. Let a(i) = s*q(i) + 2*u(i). Find the first derivative of a(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -68*y**2 + y. Let h be k(1). Let t = h - -107. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403378, 402318, 400544, 398050, 394830?\nAnswer: 390878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796442919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c - 9. Let u be r(-2). Solve u*f - 4*f + 2*k + 9 = 0, 3*k = f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14000 and 215936.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*(-1008)\/567.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 24*s + 22*s + 5*s + 1 - 6*s**2. Calculate m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167867.863 - -167942. Let c = 86.41 - 12.41. Let n = c - y. What is n rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36269*c + 60*m - 59*m + 28 = 36265*c, -68*c - 3*m = -28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12\/5 (b) 5\/2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21.577575 times -1\nAnswer: 21.577575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*s + 20 = 0, 2*s - 3*s - 6 = 11*v + 7 - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a**6 - 34*a**2 - 70*a**2 + 116*a**6 + 2*a**5 + 69*a**6 wrt a.\nAnswer: 23520*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 13. Let x = 19 + -13. Let i = x - z. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 14*a = -49*a + 612 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**7\/1050 + h**6\/200 - h**5\/100 + h**4\/120 + 3*h**2 - 3*h. Let p(m) be the first derivative of v(m). Factor p(a).\nAnswer: -a*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 102.4. Let w = x + -2.6. Let q = -11.72 - w. Round q to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 16 + 51 + 5676*v - 23)*(-2 - 1 + 5).\nAnswer: 11352*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 365?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268352863*d**3 - 130845*d**2 - 8*d - 3?\nAnswer: 1610117178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 3, x: 1, e: 1}. What is prob of sequence ggx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 16050*x**2 + 4329126*x\/5 - 58423518\/5.\nAnswer: 2*(x - 40071)*(x - 27)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 5 - -2) + ((-16)\/10 - 1426425\/11375)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 32*p**2 - 18*p - 45. Is c(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 7. Let b(i) = 10*i - 29. Let s(f) = -4*a(f) + b(f). Let w(y) = -4*y**2. Determine s(w(p)).\nAnswer: -24*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.091 + -58.091. Let d = -59 - j. Let n be (-4)\/((-32)\/10)*2. Are n and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21142 - -2?\nAnswer: -21140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180699, -362458, -544217, -725976?\nAnswer: -907735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 + 3 = 0. Suppose 0 = -3*y + i*k - 10, y + 5*k - 14 = -6. Sort 1, 2, y, -5 in descending order.\nAnswer: 2, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (24 + 2)) + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1744, -3458, -5174, -6892, -8612, -10334, -12058?\n\"Answer: -r**2 - 1711*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*p - 25, -3*q + 2*p = -14498. Is q a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 8*o - 14. Let y(c) = c**3 - c**2 + 3*c - 2. Let f be y(2). Suppose 2 + f = -a. What is the units digit of l(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + -19) - (56 + -25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 5 (c) 5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - n. Suppose -3*i = -55 + n. Is 1634\/i - 8\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let p(f) = -2*f + 1 - f - d*f - f. Let r(m) = 7*m - 1. Determine 5*p(z) + 4*r(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, g: 1, d: 1, i: 1}. What is prob of sequence ig?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 10*c - 5. Is v(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 3*s**2\/2 + s - 1. Let g be u(-4). Let c be -7*1*((-2)\/(-4))\/((-8)\/16). Solve -3*q - c = g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 377\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 1. Let w(a) = a - 4. Let u(c) = 6*j(c) + 3*w(c). Let o = 55092 + -55099. What is u(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(3\/(-561850)*1). Let b = m - -2563000. Suppose b = -3*v - a, 5*v + 3*a = v - 18400000. Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -16. Put 4, -4, h in increasing order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(41*o + 165*o + 5 - 5) to h + t*o and give t.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-13 - ((-14 - 3) + -4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1181, 62, 0.04?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:08 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k. Let x(s) = -48*s. Determine x(z(u)).\nAnswer: -672*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*f + 121*f + 6006 + 12439 for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 28. Suppose -7*t + 12*t = l. Let g be 1 - (-23 + 1) - (t + 1). Solve -3*c = c + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - ((-12)\/(-9))\/(52\/(-4836))) + (-12 - 1)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 1. Let i = 2 + q. Solve i*j - 10 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107)\/(296604\/1080)*((-44)\/4)\/1.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 940*l + 939. Let b(n) = 2. Let d(z) = -b(z) + v(z). Differentiate d(i) wrt i.\nAnswer: 940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53210016 divided by 144.\nAnswer: 369514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iisxsfii. What is prob of sequence isi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8941 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -17*r + 1. What is the remainder when 205 is divided by h(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 887025 = 32*f - 27*f, -5*f + 4*a = -887061. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -78 - 29) + -1 + 20?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 51 + 22 + 169*f**2)*(-32*f + 73*f + 208*f).\nAnswer: 42081*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j + 85*j - 7*j - 1075*j**2 - 34*j.\nAnswer: -1075*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 26*f - 10. Let n be 3\/(-6) + 2 + (-3483)\/f. What is the tens digit of (-8)\/14 - n\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/30044 and 57\/5.\nAnswer: 150220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -5. Let p be ((-34)\/w - -1)*3. Let y = 35 + p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - k + 14 = 0, -i - 4*k + 3*k = -5. Let p be (-240)\/(-36)*i\/(-1). Let l be p\/110 - (-928)\/22. What is the greatest common divisor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*d = 3*d + 134, -d = 3*p + 110. Let j = -21 - -45. Let w be (-2)\/3 - j\/p. Solve r + 4*b + 22 + 0 = w, 0 = -b - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 4, -1\/10, 1, -0.2.\nAnswer: -0.2, -1\/10, 1, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9566988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -792, -1621, -2448, -3273?\nAnswer: -4096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 125. Suppose 3*v - f = -2*j, -j + 4*v + 8 = 27. Let c(w) = -11*w - 2*w**3 - 2*w**2 + 1 + 11*w. Calculate c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*u = 50, 169*z - 26 = 68*z + 100*z - 5*u for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*f + 390 + 509 - 177 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/20 + 7*r**4\/6 - 7*r**3\/2 - 9*r**2 + 61*r. Let w be l(12). What is the highest common divisor of w and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -31592, -8, 5 in descending order.\nAnswer: 5, 4, -8, -31592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by 198.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g - 187303 + 19646 = 0. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7190 = 2*u + 3*u. Suppose -2*t + u = 2*w, -3*w + 5*w - 3*t - 1438 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212211?\nAnswer: 3, 17, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 - u**2 + 8*u - 1. Let t(q) = -q**2 - q - 1. Determine -g(j) + t(j).\nAnswer: 5*j**3 - 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11327, -1, 1, 5 in decreasing order.\nAnswer: 5, 1, -1, -5, -11327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*o, -o - 4*o + 40 = 3*x. Solve 4*c = 5*v + 12, -x - 4 = -3*c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/4)\/i)\/i*i*i)\/i*i**(-1\/14)*i**(-1\/5)\/(i*i**(-5\/6)) assuming i is positive.\nAnswer: i**(-289\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.3 + 4.1. Let k = m + 2. What is the second smallest value in k, 0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/21)\/(-4*(-6)\/336). Let m = 2 + -1.5. Put m, j, 1, 0.2 in increasing order.\nAnswer: 0.2, m, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -128.6, -0.4, 28, -5?\nAnswer: -128.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let a(w) = -6*w + 20. Let v(y) = 5*y - 19. Let f(i) = -6*a(i) - 7*v(i). Let p be f(-13). Solve p = -d*k, -4*h + 4 + 0 = -4*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 0*v + 3*v + 4, -5*v = -5*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (54 - 6\/3)\/(28\/238)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*o + 856 + 1484. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30259098 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-1 - -3) + -4) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1070.01 - -1065. Let c = u + 0.01. What is the second smallest value in c, -4, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 326\/5, 14331?\nAnswer: 14331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*u - 4. Suppose -8 = -x - 3*x - u*o, -x - 4*o = 10. Solve 0*z - x = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 69. Let z(t) = 16*t**3 + 4*t**2 + 5. Let p be z(i). Let y = -3593 + p. What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11932 + -12.06532. Let g = 0.054 - k. Which is the second biggest value? (a) 0.2 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:43 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 = -2*z, -5*z + 5*m - 7 = -z. Solve -z*f = 3*j + 3 + 4, -j + f = 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222 + 329. Let d = x - 59. Is (d\/(-14))\/((-1)\/7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -54.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 329)*(-136 + 137)*26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f**3 - 13*f**2. Let j(n) = -7*n**3 - 6*n**2. Let i = -26 - -17. Let s(c) = i*j(c) + 4*z(c). What is the third derivative of s(y) wrt y?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/(4\/(-20)*-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15)*27\/(-6). Which is greater: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2556956 divided by 639239.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/3 (b) 0.5 (c) -3\/11 (d) 1 (e) 57 (f) 3 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 at least 21434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*a - 4*y, 5*y + 180 = 5*a + 30. Solve 0 = -4*i + 9*i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 187046 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: Let c(a) = a**3 - 4*a**2 + 5*a + 4. Let h(g) = g**3 + g**2 - g + 1. Let b be h(0). Let t = b + 4. Is c(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6187 is divided by 364.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (212\/636 - 76\/3) + 80.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 259 = -221. Calculate the remainder when 21 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3859 - 3853. Let i(o) be the second derivative of y*o + 0 + 0*o**3 + 0*o**2 + 1\/12*o**4. Let g(r) = -4*r**2. Calculate g(i(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 + 559 = 9*y. What is the remainder when y is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let o(m) be the second derivative of 818*m**3\/3 + 1957*m. What is c(o(a))?\nAnswer: -2676496*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 881 = 95*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21*n**4 + 39*n**3 - 39*n**2 + 12*n. Let i(z) = z**5 - 20*z**4 + 39*z**3 - 38*z**2 + 12*z. Let c(l) = 2*h(l) - 3*i(l). Factor c(v).\nAnswer: -3*v*(v - 2)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + 32\/18. Let r = 26 + -26. Suppose 0 = t - 4*w, -2*t + r*w - 2*w + 10 = 0. Sort t, k, -5.\nAnswer: -5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:42 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -568*i + 4331 - 923 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5884480 and 115\/294224.\nAnswer: 5884480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449576 is divided by 2680.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-4370))\/((99\/(-9))\/110)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 + 9 = -4*j, 4*h - 5*j = 10. Solve h = 3*v + 2 + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*a + 23, 10*u - a + 2 = 7*u. Let k(y) = 1. Let v(m) = m**2 - 2*m - 7. Give u*v(c) + 6*k(c).\nAnswer: c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30888 + 30887.5. Which is the closest to 0.1? (a) t (b) -164 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358039 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63996 is divided by 21305.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 10*d - 3*d + 4*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-2 + (11 - 2)) - 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*r - 2 - 19*r + 141*r + 116*r to w + u*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 122\/3 and 40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4597340 to the nearest 10000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 = -34*m - 133*m - 216. Let r(w) = -1 - 3*w - 6 - 4. Calculate r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7781.\nAnswer: 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0591816 years?\nAnswer: 0.000591816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 40 = -0*j. What is the third derivative of 25*f**2 - 31*f**2 + 2*f**4 - 7*f**j - 2*f**4 wrt f?\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 + 175*s + 2530 = 0. Calculate s.\nAnswer: -11, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-9)\/(-3))\/(-3))\/((-4)\/(-5912)). Let z = -949 - a. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8461, 8460, 8459, 8458, 8457?\nAnswer: 8456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 0.03 (c) 7160.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11885 = 5*g, 4*r - 9528 = -3*g + 2*g. Suppose 7*q - 846 = r. List the prime factors of q.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480 divided by -120?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5 = -0*b, -36*b + 346*b = 6*y - 8*y - 316 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:34 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-408)\/(-266)) + ((-62)\/(-14) - 5)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(159*z**5 - z - 90*z**5 - 3*z).\nAnswer: -69*z**5 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -19.544\nAnswer: -78.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c**2 + 4*c**2 - 5 - 235*c**3 + 13*c**2 + 3*c + c**2. Is u(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21377\/171 != -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60511460 is divided by 565?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 56?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 49 = 41 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 18 = 7*m. Put -4, -2, m in descending order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39361 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - l - 11*l)*(2*l + 0 + 0) - 25 + 25 - 4*l**2.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 114 + 6*t**2 + (4*t**2 - 3*t**2 + t**2)*(5 + 2 - 5))*(t - 5*t + t)*(2 + 0 + 1).\nAnswer: -90*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15\/85*3*7\/((-231)\/11)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*f**2 + 3*f + 144*f**2 - f**3 - 68*f**2 + f**4 to the form s*f**3 + b*f + r + w*f**2 + x*f**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 155 = 5*o, 0*i = -i - 3*o + 33. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*j + 3 - 1 = 0, -3*h - j + 4 = 0. Suppose -3*i + 4 = 4*q - 5*i, h*i = 4. What is the second smallest value in -4, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-5))\/((-21)\/(-4)). Which is the closest to 1\/4? (a) 1\/4 (b) -0.05 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oppo when four letters picked without replacement from ppavaoaapapao?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -11514 = -11089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 3*l + 0 + 1 - 3. Let s be 22\/6 + 4\/(-6). Let w(i) = -4*i - 1. What is s*k(j) - 4*w(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 82302572 divided by 924748\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4189647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 27*f + 222, -5095*o + 5096*o - 10 = f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 4*u. Let a be (u + 1*-63)\/(-1). What is the highest common factor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.9, 0.61609, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -24, -47, -90, -159, -260?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -642, -948, -1244, -1530?\nAnswer: -1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*w + 9 = -4, 7 = 2*i - w. Solve -m + 5 = i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 8*g + 7. Let q(x) = -4*x**2 + 31*x - 28. Let b(s) = -2*q(s) - 9*r(s). Let p be b(9). Suppose p*d + 3 = 3*c - 2, -3*c = -3*d. Sort -21, c, -2.\nAnswer: -21, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 144, -67 in descending order.\nAnswer: 144, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-23)\/20 - -1)*(-124)\/(-186). Let r = 22 + -87\/4. Which is the second biggest value? (a) u (b) -1\/5 (c) r (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224844 * 0.4\nAnswer: -89937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*(g\/g**(4\/11))\/g*g)*g)\/g)\/g**15*(g**(1\/4))**(-1\/9) assuming g is positive.\nAnswer: g**(-6599\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 53. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y - 5. Suppose 8 = 2*n + 4*j, -2*j = -n - 7*j + 4. What is the units digit of z(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose 3*f + 4 = -x. Suppose -1 = 5*u + 2*h - 11, 0 = h + 5. Sort 8, f, u.\nAnswer: f, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w - 4. What is m(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + -4 + -1*sqrt(363))**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = -2*o. Let c(x) = -x**2 + 0*x**2 + 0*x**o. Let t(w) = -1 + 1 - w**2 + 0*w**2. Give c(t(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 670*r - 1031. Calculate g(2).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 329.1 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*u - 301*u - 11 = l, 0 = -4*l - 5*u + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3844*v**2 - 78*v + 78*v - 3255*v**2 - v**3.\nAnswer: -v**3 + 589*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 136158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6292648 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 6}. Give prob of sequence ppp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 242\/15 - 4\/30. Suppose -6*f = -s - 20. Calculate the lowest common multiple of 5 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-474.4.\nAnswer: -15180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1415, 2960, 4501, 6038, 7571, 9100?\n\"Answer: -2*v**2 + 1551*v - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 1)*(-c**2 - 3*c**2 + 3*c**2) - 490*c - 248*c**2 + 490*c)*(0 - 1 + 5)*(0 + 0 - 2).\nAnswer: 1960*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 - 19*n + 34. Let w be l(-11). Let m = 133 - w. What is the smallest common multiple of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -13. Let h = k + 19. Let x = h - 5. Solve 0 = x*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 7556 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1955 = 5*i, 10*i + 4*j = 6*i - 1552. Let k = 283 - i. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/(-3160)*(-3)\/(-6)*20\/35.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w - 11*w)*(5*w**2 + 3*w**2 + w**2)*(0 + 6 - 2).\nAnswer: -468*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 151, 6581, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5974 - -3897. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 10*x**2 - 3*x + 110. Let l be q(-5). Solve 50*y - 55*y = l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, t: 2, k: 3}. Give prob of sequence zt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*r**3 - 2184*r**2 - 13360*r - 21600.\nAnswer: -4*(r + 54)*(3*r + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*u - 777*u + 433*u = 61544 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6276305mg to micrograms.\nAnswer: 627.6305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -47, -79, -111, -143, -175?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 1 - -21) + -1 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 12 - -12 - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 - -88. Suppose -2*s = 0, -5*w - 725 + 1925 = -5*s. Is (-15)\/t - (w\/(-28) + 1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8735 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 11. Let n = f - -55.9. Is n smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 77*v**3 + 4*v**2 + 2*v - 1. Let x be y(-1). Let d = 73 + x. Let m(o) = -o**3 - 2*o**2 - 3*o - 3. Give m(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 - -166. Calculate the least common multiple of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 + 6.3. Let r = -79 + 79.2. Which is the nearest to -3\/7? (a) v (b) r (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 17. Suppose d - 71 = p. Suppose 4*u = -0*u + d. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1617)\/(-924) - (1185\/(-20) - -3)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281 - 287. What is the fourth biggest value in -1, 1, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let t(o) = -174*o - 2. Determine u(t(w)).\nAnswer: 348*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/7 + 15\/14. Let d be (-26)\/(-8) + -1 - 3. Let h = -1.3 + 3.3. What is the nearest to h in q, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 31*k + 4. What is t(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -560 + 559.5. What is the fourth biggest value in o, -30, 4, 5\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -219, -327, -421, -495, -543, -559?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x**4 - 52620*x**3 + 228*x**2 + 107023296?\nAnswer: 8*x**3 - 157860*x**2 + 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:47 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*y + 314 = -w, 5*y = -10. What is the remainder when w is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = q - 75457, 128*q + 226363 = 131*q + 2*g. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824 is divided by 157?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3260?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -223718 divided by -2\nAnswer: 111859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 972 - 972.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/4 + 520615*x**2\/4 + 2603450*x + 13017875.\nAnswer: -5*(x - 104143)*(x + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 32 - 55 + 23 + 2*k. Let v(t) = 13*t**2. Give j(v(d)).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117099 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = -2*o + 39, 4*o + 40 = 3*h. Suppose 0 = -7*b + 13 + h. What is the first derivative of 60 - 62 + l**3 - 5*l**b wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1993475 divided by 3025.\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*k - 50, -3*k - 5*h = -9 - 74. Suppose -1 = -3*o + 113. Let n = o - k. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**3. Let v be ((-3)\/12)\/((-3)\/24). Let a(l) = -22*l**3 + 0*l**2 + 2*l**2 - 2*l**v. Calculate 5*a(q) - 16*i(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041964, -2083918, -3125866, -4167808?\nAnswer: -5209744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*2*2*(0 + sqrt(75) + 3).\nAnswer: -240*sqrt(3) - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1715839 divided by -41.\nAnswer: -1715839\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3675126529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6123470 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213\/59, -202, 0.32 in decreasing order.\nAnswer: 213\/59, 0.32, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 90*f - 1. Let y be h(1). Suppose 3*n - 1 - y = 0. Let i = n - -15. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 275 + -243. Suppose -r*h + 38 + 58 = 0. Let v(m) = -6*m + 2. Let f(z) = 6*z - 3. Calculate h*v(t) + 2*f(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517*0.26.\nAnswer: -134.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**6\/120 - x**4\/48 - 338*x. Factor h(w).\nAnswer: w**2*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 267482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1 + 5*s - 6*s - s. What are the prime factors of b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80569317 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 52*l - 40*l + 199*l - 54*l - 53*l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*a + 15 + 15 = 0, m - 10 = -5*a. Let f = -3 + m. Suppose 2*k - 2*r = -0*k + f, -r = k - 3. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 978721, 978712, 978699, 978682, 978661, 978636, 978607?\nAnswer: 978574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -7. Let f be ((-18)\/(-48))\/(m\/2). Which is the third smallest value? (a) f (b) 1\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/4 - x**3\/3 + x - 2. Let l be t(-1). Let h = 330 - 1313\/4. Is l at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 7, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43450883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y + 0*y**2 + 1\/60*y**5 - 5\/3*y**3 + 0*y**4 + 1. Let p(x) be the third derivative of s(x). Give p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10 - (2 - 9)). Which is the third biggest value? (a) i (b) 43 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*a + 3546 = -0*a, -1 = a. Let p = d - 255. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136\/5*y - 192\/5 - 6*y**2 + 2\/5*y**3.\nAnswer: 2*(y - 8)*(y - 4)*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -650.9 - -650. Suppose -3*h + w - 16 = -w, -8 = -4*w. Put -3, h, t, -0.1 in descending order.\nAnswer: -0.1, t, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 23 = -2*y, 3*y = -4*d + 43 + 4. Let c(v) = -v**2 + 9*v + 3. Let a be c(y). Solve -4*u - 5*m - 4 = 0, a*u - m + 3*m = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062555 rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:42 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113872*d = -113852*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*l. Suppose -p + 258 = l*p. Suppose -3*b = -5*s + p, 4*b = -3*s - 0*b + 40. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1. Let s = o - -0.4. Which is the closest to 2\/3? (a) -3 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9889549 - -9889613.99957. Let u = 65.142 + -0.142. Let j = u - i. Round j to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-22) - 1834\/(-77) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 67*h**2 - 5*h + 9. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5538 + -4791.2. Round c to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.2. Suppose 4*o + 28 = 5*a - 0, 4*a - 18 = o. Put a, k, 2\/7 in decreasing order.\nAnswer: a, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Let h(b) = -3*b - 11. Let j(c) = 4*h(c) + 11*q(c). Let y(g) be the second derivative of g**4\/6 + 553*g. Calculate y(j(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or -563\/22?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 2*9\/6. Suppose 4*i + o = -2, -l*o + 3*o + 2 = -3*i. Is i - -41 - 6\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52686033.32499 - -165.\nAnswer: -52685868.32499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/51*9\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**2 - 4*o - 31*o**3 - 3*o**2 - o + 0*o wrt o.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let t(m) = -6*m + 16. Suppose y = 2*i - 7, -5*y = -3*i + i + 11. Give y*t(p) + 8*j(p).\nAnswer: -2*p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 910\/(-117)*(-8712)\/(-1210).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.4 - 154.6. Let d = h + 199.73. Round d to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.274377l in millilitres?\nAnswer: 274.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.188, 0.4, -1, 49, 0.3 in increasing order.\nAnswer: -1, -0.188, 0.3, 0.4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48031\/100821 + -1\/4801. Calculate the common denominator of o and 24\/721.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*428\/(-40) + 0 and 27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024005328 to six dps.\nAnswer: -0.002401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6848 and 29582932?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, -23.\nAnswer: -23, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -6\/11, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9902275.\nAnswer: 5, 396091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 662*q - 14. Let i(z) = -164*z + 3. What is 9*i(f) + 2*m(f)?\nAnswer: -152*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 5*w - 5)*(-w + w - w)*(6*w**2 + 13 - 13) to q + t*w**2 + d*w + o*w**3 + v*w**4 and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - n + 44 - 44. Let b(l) = -12*l**2. What is k(b(r))?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84453 - -84407.1131. Let y = -0.0131 + u. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72598.\nAnswer: 2, 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-115)\/(-9) - 6\/(-27). Let t be ((-56)\/(-35))\/((-4)\/10). Let c be t\/(-12) - 5\/(-3). Solve -3*n - q = 4*b, c + 0 = -n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 108. Let q be -3 + (-4)\/n + 5. Solve m + 2 = z, 0*z - z + 2*m = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*n + 157. Let h = n - -23. Let f be -4 - ((-4)\/h - 6). Sort f, -3, -4 in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {r: 5, i: 2, j: 3, t: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 108 = -2*y, 2*f - 2*y - 112 = -4. What is the highest common factor of f and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 + -2478.9998.\nAnswer: -2097.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*p + 754*p + 52*p in the form u + k*p and give k.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -226a2c (base 15) in base 16?\nAnswer: -19102e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 12 = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20709 - 20709. Let v(y) = y**2 + 7*y - 24. What is v(k)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 * 0.14\nAnswer: -11.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1879 + -0.03913\nAnswer: -0.22703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/980013 and -18\/8453.\nAnswer: 77421027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5470926.3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 7}. What is prob of picking 2 d and 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29680473*m**2 - 22253327 wrt m.\nAnswer: -59360946*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/305 (b) -4 (c) 2\/13 (d) -3\/7 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1088) - (sqrt(306)\/sqrt(6))\/sqrt(3))**2.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17535506 and -3.6061.\nAnswer: 17535502.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -11 (b) -0.2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 57*k**2 - 198*k = 0. What is k?\nAnswer: -22, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 688108*o.\nAnswer: 4*o*(o + 172027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**8\/1008 + w**7\/105 + w**6\/36 - 4*w**5\/45 - 11*w**4\/24 - 7*w**3\/9 - 3052*w**2. Factor i(o).\nAnswer: -(o - 7)*(o - 2)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/5 (b) -0.05 (c) -2\/11 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -446263091655?\nAnswer: -446263091654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 984\/8987 + -2\/473. Let m be 2\/(12 + (-4)\/2). Which is the third biggest value? (a) m (b) u (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49488191 equal to -49488190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 112109.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - 35?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 11895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4060879 to the nearest integer?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007310125 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 23*q - 18*q + 32639 = 0, 4*f = -2*q + 32618. Suppose -28*p + 1252 = -f. Is p a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 3\/2*z**2 - 41 - 2*z + 11\/6*z**3. Determine j(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18289540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 - 18)*(18*u**4 - 3*u**5 - 370 + 370 + 3*u**4).\nAnswer: 78*u**5 - 546*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r. Let s(p) = -361*p**2 + 7*p + 9. Let f(g) = -181*g**2 + 3*g + 4. Let j(m) = 7*f(m) - 3*s(m). Determine d(j(n)).\nAnswer: 736*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 20\/3. Let s be (2\/6)\/((-3)\/9). What is the nearest to c in -0.2, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12390.\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -686, -825, -966, -1109, -1254?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 + (-20 - -6 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 6*n**2 + 6*n + 3. Suppose -3*c - 2*c + 25 = 0. What is the lowest common multiple of 14 and x(c)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9953413 and 0.9?\nAnswer: 8958071.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-1056)*-776 - 9\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/2*3\/(-12). Let n(w) = 40*w + 1. What are the prime factors of n(s)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/3 + -2. Let w = 22 + -22.3. What is the smallest value in v, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = -5*c + 2*d, 10 = 5*c + 4*d. Let q(x) = 3*x**2 - 2*x - 1. Let t be q(2). Let v = t + c. Solve -p = -r + 4*r + v, 2*r + 20 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/20 + 10*n**3\/3 + n**2 + 4*n + 236. Let z(f) = -10*f**2 + 59. Give -7*t(j) + 2*z(j).\nAnswer: j**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7765*o = 7780*o - 11010. What is the remainder when o is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11737 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5*p + 50, 10 = 5*x - 13*p + 8*p for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let z(w) = w**2 + 8*w. Determine h(z(i)).\nAnswer: -i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 432 - 433. Let h(r) = -21*r**2 - r. What is h(a)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.822488 rounded to 2 dps?\nAnswer: -32.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 60*u**2 + 13*u - 761. Let h be c(60). Solve -5*a + 8*k + h = 10*k, -2*k - 21 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 11 - 53. Let v be 28\/u + -3 + 1. Let r = -261 - -257. What is the third biggest value in v, r, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2552 and 149\/14731536.\nAnswer: 162046896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20*-6)\/((-6)\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*s + s + 2*s)*(-6*s**2 + 32*s**2 - 14*s**2) - s**3 + 0*s + 0*s)*(-2*s + 0*s + 3*s).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1340, -5358, -12056, -21434, -33492, -48230, -65648?\nAnswer: -85746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - (6 + -3) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 - 64 = -5*a. Suppose -193 = -5*z + a. Let h = 511 - 3989\/8. Find the common denominator of z and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 2751997.2947?\nAnswer: -2751957.2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -154 from -4069.39.\nAnswer: -3915.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 134 = 2*m, -m + 55 = -k - 12. What is the remainder when m is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 884*i - 8703. Let y be q(10). Solve 5 = o - x, -y*x = -3*o - 142*x + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/6 + 8*t**3\/3 - 16*t**2 + 9*t - 3. Find x, given that b(x) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 74299 + 245*i**2 - 148601 - 3*i + 74302.\nAnswer: 245*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*f - 8, 8*f = 4*y + 4*f - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-3\/5)*q**4)\/(q**(-1\/4)*q**4)*(q**2\/(((q*q\/(q*q\/(q**(-3\/7)*q)))\/q)\/q))\/(q*q\/q**6*q**(-2\/21)) assuming q is positive.\nAnswer: q**(3853\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -837 + 0*g**3 - 4*g**2 + 882 + 9*g**3 + 4*g**2 as y*g + j*g**2 + t*g**3 + f and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five quarters of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/14 and -143\/6673170?\nAnswer: 6673170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -69501 (c) 7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**3 + 16*n**2 - 11. Let b be l(13). Let z = b + -245254. Round z to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 12083345.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**6*x + 119*i**3*x - 7*i**2*x + 3*i**2 - 5*i*x wrt i?\nAnswer: 480*i**3*x + 714*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5579 minus 2197?\nAnswer: -7776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2337432 divided by 8.\nAnswer: -292179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/11 - 14*l**3\/11 + 272*l**2\/11 - 256*l\/11 = 0. Calculate l.\nAnswer: -16, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 25. Let o = i - 5. Let f = 3\/13 + -1\/117. Sort f, -1\/2, o in descending order.\nAnswer: o, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560021.2 decades in millennia?\nAnswer: 5600.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/9, -2\/15, -18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7199\/2 or 3600?\nAnswer: 3600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 9668 + 9668.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -32357 and -32357 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26853 + 1?\nAnswer: 26854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5*3*3)\/((-5)\/5). Which is greater: m or 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 0.3, 0.2, 0.4, 6, 3\/394?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 9*u**3 - 4*u**3)*(-5*u**2 - u**2 + 2*u**2) - 29 + 13*u**5 + 29 + (2*u**4 + u**4 - 5*u**4)*(2*u - 4*u + 0*u) + 3*u**5 + u**5 - 5*u**5.\nAnswer: 60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 5282*u**2\/3 + 230380*u\/3 + 160632.\nAnswer: (u - 5238)*(u - 46)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3366 and 153.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1459.28 seconds?\nAnswer: 1459280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190593 and 31850?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 17*c**2 + 17*c - 18. Let v be h(-18). Put v, -2\/13, 0.2 in decreasing order.\nAnswer: 0.2, v, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 37.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/60 + l**4\/6 - 2*l**2. Let j be i(3). Let q(n) = n - 4. Let c be q(j). Which is greater: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/(9\/(-3)))\/(21\/(-14)). Solve 0 = -4*x - 5*g - 13, o*g + 5 = -x + 3*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240651 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -39. Let s = u - 6. Which is the biggest value? (a) 3\/5 (b) 1\/8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -154*h - 2269. Is 15 a factor of c(-46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12846549?\nAnswer: 3, 4282183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y - 6. Suppose 3*b + 13 = 5*l, 5*l = 2*b + 12 - 5. List the prime factors of t(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/383, 207, 0, -1?\nAnswer: -10\/383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 377*k**5*w**2 + 9*k**2*w - 61*k*w**2 wrt k.\nAnswer: 22620*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 71*q**9\/126 + q**7\/105 - 49*q**5\/60 + 13*q**4\/24 - 1174*q**2. What is the third derivative of m(g) wrt g?\nAnswer: 34080*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -52. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 14 + 360*p + 371*p + p**2 + p**2.\nAnswer: 2*p**2 + 731*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -373404142 plus 22242?\nAnswer: -373381900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21795 + -21803 + (146 - 1).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.4 + 17. Let q = y - -9.6. Which is the nearest to 0? (a) q (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, -2, -39, 3 in increasing order.\nAnswer: -39, -5, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3138557010 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 48 (c) 5 (d) -125.5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3\/3 - 789288736*i**2\/3 + 1578577460*i\/3 - 789288728\/3 = 0. Calculate i.\nAnswer: 1, 197322182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(25) + (sqrt(3600) - (sqrt(3600) + sqrt(3600)*2))))\/sqrt(5).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092137 rounded to 4 decimal places?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 3.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131395853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/6630)\/((-15)\/((-22050)\/14)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36335\/3 - 12123. Which is the smallest value? (a) l (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 - 128*h**4 - 1012*h**3 + 376*h**2 + 2816*h - 2048 = 0.\nAnswer: -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 110. Let i be c\/18 - (-2 - -5). Let g = -0.2 - 0. Put g, i, 0.4 in descending order.\nAnswer: 0.4, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let a(h) = 3104*h**2 - 3. Let l(n) = 24835*n**2 - 25. Let k(r) = 25*a(r) - 3*l(r). Determine p(k(q)).\nAnswer: -3095*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53898*n**4 + n**2 - 9420*n wrt n?\nAnswer: 1293552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101675785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-1 - -1) - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 9:03 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:00 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 13. Let r be m(11). Let h(p) = 4*p - 1. Let n be h(1). Suppose 0 = 3*s + s - 8. Put s, r, n in descending order.\nAnswer: n, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**3\/3 + y. Let p(l) be the first derivative of -2*l**2 + 163. Determine k(p(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -26, 27, 132, 307, 570, 939, 1432?\n\"Answer: 3*i**3 - i**2 + i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*t**2 + 195*t + 4 + 11*t**2 + 166*t - 17*t**3 + 29*t**2 wrt t?\nAnswer: -102*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 0.5, -0.39, 2\/17, -0.05, -0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 4. Let s be g(6). Let f = 30 + -25. Suppose u - f = 0, -t + 3*u + 9 = s*t. Calculate the highest common factor of t and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + (-4323)\/(-90). Let z = j - 3121\/66. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v**2 - 10*v - 25. Let j(h) = 5*h**2 - 3*h - 8. Determine 7*j(a) - 2*t(a).\nAnswer: 3*a**2 - a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 3*k**2 - 9*k + 2. Let n = -31 + 38. Let g be o(n). Suppose -4*z - g = -5*z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3699 + -3627. Put h, 1, -15 in descending order.\nAnswer: h, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 94, 356, 784, 1372, 2114?\n\"Answer: -n**3 + 89*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -17*n - 34, -969*n + 6 = b - 972*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0, 3 in decreasing order.\nAnswer: 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49978, 49904, 49710, 49336, 48722, 47808?\nAnswer: 46534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d50 - -1b?\nAnswer: -d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21903 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*w**2 + 163640*w + 5700 = 0.\nAnswer: -114, -10\/287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 2*d**2 - 3*d**2)*(d**2 + 3*d**2 - 5*d**2)*((-3*d + 5*d - 3*d)*(1 - 3 + 1) + 8*d + 2*d - 9*d + (-1 + 0 + 2)*(-4 + 2*d + 4)*(-3 + 1 + 3)).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:25 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*m + 16, 4*m - 7 = 3*m + 2*y. Is 5 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 16. Suppose -5*l + 56 + 24 = 0. Let i be s(l). Suppose i = -5*q - 9 - 1. What is the second biggest value in 4, 2, q, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*y - 13*y = -33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106 = -41*q + 2311 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 64 = -6. Let y = h - -36. Round y to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 28747?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1 - -3) + (-203 - -205)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46482739, 92965474, 139448207, 185930938, 232413667?\nAnswer: 278896394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 359, 2763, 6933, 12875, 20595, 30099?\n\"Answer: q**3 + 877*q**2 - 234*q - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/2 - 195*l**2\/2 + 6084*l = 0. Calculate l.\nAnswer: -104, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 9*z**2 + 6*z - 126. Calculate m(0).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - n + 54. Suppose 12*z = 48 + 60. Does 10 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 15648 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f = 3775 - 3635 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllnnsslssnsl. Give prob of picking 2 n and 1 s.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306394791, 612789578, 919184365, 1225579152?\nAnswer: 1531973939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/((-60)\/(-425)))\/((-7)\/336) is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5991*v**2 + 5993*v**2 + 5989*v**2 + 5991*v**2 - 23965*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 29.7. What is the nearest to z in 0.4, 1\/2, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*f = -7, 30*k + 4*f - 3 = 29*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 21*a - 10. Let x be o(-11). Sort 4, -1, x.\nAnswer: -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 180 = 33 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 22 + (-1 - (7 - 4)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 18 - 3*r + 4 - 1. Is 7 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15573603 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*j = -61*j - 15. Let d = 8 - 6. Solve a - 5*h = -10, j*a = d*h + 3 + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -9. Let n = b - 0. Is n greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5206548 by 4.\nAnswer: -1301637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 6)*6\/4. Let n = 4 - -1. Solve -g = 2*p - n*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 31 = -5*b + q, -4*q + 13 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -255 (b) -25\/12 (c) 11 (d) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 2, y: 1, x: 3, k: 2, n: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 73797*f + 88486320 = 0.\nAnswer: 1264, 23335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -97, -95, -93, -91, -89?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 177505 + -11344?\nAnswer: 166151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**3\/3 - 13*i**2\/2 + 17*i - 1232. Give p(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010111001111110110000001 + 11?\nAnswer: -101010111001111110101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3\/5 + 162056*z**2\/5 - 6152352*z\/5 = 0.\nAnswer: 0, 38, 40476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j\/(j**(-41)\/j))*j)\/j*j*j*j*j\/j**(13\/6))**39 assuming j is positive.\nAnswer: j**(-3133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25283317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99) + sqrt(11) + 2*sqrt(11)*5 + -1)**2.\nAnswer: -84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 5*l**2 + 9*l - 9. Let o = -36 - -43. Let j be w(o). Is -43 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) 6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 3:17 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 0.05 in ascending order.\nAnswer: -0.4, 0.05, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 3850831.\nAnswer: -3850830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204360411 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*u - 7, 5*o + u - 21 = -2*u. Suppose -q = 3*h - o - 3, 3*q = 5*h + 88. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -289895 > -289895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15 = 3*o, 2*o - 22*f + 23*f - 1 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212 + 1012?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7263 - 2197. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 e when three letters picked without replacement from veevennen.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqql. What is prob of sequence qqlq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - -5. Let n = -17.55 + i. Round n to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - h)*(-10217*h + 7859*h - 9561*h)*(-4*h + 4*h - 2*h).\nAnswer: 23838*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*v - 3633 + 689 - 601 = 970 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a meter in millimeters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(17) - (1 + sqrt(17))*-5) + 0)**2*-2.\nAnswer: -31850 - 3000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -1)*2\/4. Suppose 0 = -u*s + 5*m + 25, 2*s - 14 = -5*m - 4. Solve 2*p = -s*k + 28, 4*p - 4*k = 2*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*l - 692 + 692.\nAnswer: -462*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/2 + 74\/7. Let c(b) be the second derivative of 4*b + 1\/28*b**4 + f*b**3 - 3\/14*b**2 - 3\/140*b**5 + 0. Factor c(x).\nAnswer: -3*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5255.5 + -1202\nAnswer: 4053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 8*p - 16. Determine j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3639510*l**3*s**3 - 174302*l**3*s - 4*l**2*s + 2*s wrt s.\nAnswer: 21837060*l**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 171, -2, 2056, 0 in decreasing order.\nAnswer: 2056, 171, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 26877\/(-27). Let c = 996 + r. Find the common denominator of c and 27\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-676)\/(-2990)*-46*(-10)\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1634 + 1656. Suppose -116 + 6 = -s*o. Factor f**4 + 0*f**2 + 1\/4*f**o + 0*f + f**3 + 0.\nAnswer: f**3*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668267881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcaa when four letters picked without replacement from {a: 7, m: 5, c: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*g = 106*g + 118*g + 180 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120353 is divided by 65?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 1, 137053, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*l**3*m**3 + 9*l**3*m*t**3 + 2*l**3*t + 107*l**2*m**3*t**3 - 5*l**2*m**2*t**3 + 3*l**2*m*t**3 wrt m?\nAnswer: 468*l**3 + 642*l**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 8, 14, 20, 26, 32?\n\"Answer: 6*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5759 = -858*h - 13117 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m + 5*m - 26*m)*(-2*m + 0 + 0)*(-2*m**2 + 5*m - 5*m)*(-5*m + 5*m + m).\nAnswer: -28*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {e: 7, h: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 + 3*g**2 - 4*g**2)*(-5*g + 6*g + 2*g) + 483*g - 183*g**3 - 483*g to u*g**2 + n*g + t*g**3 + r and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33480 and 83700?\nAnswer: 167400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a = -234*a + 1713 + 267 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187\/(-108)*124*1\/(-1).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 465. Suppose -4*q + x = -23. What is the remainder when 113 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -2320233232313?\nAnswer: -2320233233021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -372b?\nAnswer: -372a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 5*o + 13. Let r = 4456 - 4448. Give s(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -4*r + 2037, 5*o = r - 488. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 836*t + 832.\nAnswer: 4*(t - 208)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*z - 50, -z + w = 2*w - 17. Let n = 41 + -26. Solve -z = -5*v - 2*i - 3, -3*v = 3*i - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 86. Let s be r(14). Is s greater than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, -k = -2*o - o + 5. Suppose 0*y + 1 = p + y, -10 = -2*p + 2*y. Suppose 38 = o*n + 5*c, 40 = p*n + c + 9. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1840*q**5 - 524*q**4 - q**2 + 307305 wrt q?\nAnswer: -110400*q**2 - 12576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 101 = 57. Solve 10 = 8*n - 3*n + 5*p, u*n = -5*p + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 2018*r**3 - 70*r**2 + r - 24 + 29*r**2 + 38*r**2 to f*r**2 + j*r + k*r**3 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 + -416. Let r = 42 - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = 480 - 6629. Let y = 2676 - i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 60. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.91242l in millilitres?\nAnswer: 43912.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 508276\nAnswer: 10165.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87097453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/15 - 29*f**4\/24 + 757*f**3\/3 - f**2 - 502. What is the derivative of b(m) wrt m?\nAnswer: -8*m - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001111 (base 3) in base 10?\nAnswer: -3685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 1, 0.135552, 51?\nAnswer: 0.135552","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129*l + 2266*l - 305654 + 95164 = 0 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -571, -3288, -9745, -21520, -40191, -67336, -104533, -153360?\nAnswer: -215395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 61. Let b(i) = -i + 39. Determine -2*b(f) + 3*r(f).\nAnswer: -f + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k**2 + 343 - 300 - 18 to the form s*k**2 + p*k + y and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*o - 4*g, -5 = -2*o + 5*g - 16. Solve -2*m - 5*v = -o*m - 5, -v = -2*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.12 and 0.1.\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:23 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957*a - 485*a = -33856 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**5 + 7*r**4 - 1103*r**2 + 120151*r wrt r?\nAnswer: 40*r**3 + 84*r**2 - 2206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22335795 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 140306869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213, -2255, -2303, -2357, -2417, -2483?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d - d)*(45129 - d - 3*d - 45112) to v*d + i*d**2 + l and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 177671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 207092909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -73. Is 29 a factor of (-1)\/(6\/4)*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12885.\nAnswer: 3, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {x: 3, v: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 1 - 1)*(4 - 5 + 0*s + s).\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/858481 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 2, m: 1}. What is prob of picking 1 m and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose 7 = -4*b - 2*d - d, h = -b + 5*d + 27. Is (1\/3)\/(b\/78) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14663 and 80.83?\nAnswer: 80.68337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7446\/(-374) + 940\/47?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/180 + 32*j**5\/45 + 256*j**4\/9 + 50*j**2 + 1. Factor a(m).\nAnswer: 2*m*(m + 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 27*l + 175. Calculate i(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 7213.\nAnswer: 1442.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 2. Let d be k(-3). Let a be -3 - (1 + (0 - d)). Factor 0*t**2 + a*t**2 - 18*t - t**2 + 2*t**2 + 4.\nAnswer: 2*(t - 2)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 10*g - 2. Let y be v(3). Suppose 0 = 2*k - 13 + 5. Find the first derivative of -22*r**4 - 14*r**k + 51*r**y - 5 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6 + 2958*x**4 - 101032*x**2?\nAnswer: -240*x**3 + 70992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-28) - (-45)\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 = 2*f - 87, -2*c + 143 = 3*f. Let s be 22\/(-1155)*-15 - (-40)\/7. What is the tens digit of (-4)\/s*f\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 2*g**3\/3 + 7. Let w(l) be the second derivative of l + 0 + 0*l**3 + 0*l**2 - 1\/6*l**4. Give v(w(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711567 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3398 and 9808.\nAnswer: -33327584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(2*z**4 + 4*z**3 - 4*z**3) + (2*z + 4*z - 2*z)*(3*z**3 - 2*z**3 + 4*z**3) + 4*z**4 - 2*z**4 - 4*z**4.\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {r: 7, u: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 2.269?\nAnswer: -0.4538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04849878417 rounded to four dps?\nAnswer: 0.0485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22024 (base 10) to base 11.\nAnswer: 15602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-9)\/(-18))\/((-597)\/(-6)))\/(12\/(-153)) and 1\/16.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:27 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + 2*x)*(4 - 1 - 5) + (-5 + 0 + 1)*(0 + 0 + x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287162.\nAnswer: 2, 3, 43, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.61 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2239 or -2238?\nAnswer: -2239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 3, 12, 25?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1512 + -1507. What is the closest to -1 in 1\/33, j, 4\/7?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/23 - -17\/69. Let h(p) be the first derivative of -a*p**3 + 1\/2*p**2 + 10*p - 3. Give h(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) - (1 + sqrt(1573) + -5)) + sqrt(1573)*-1 + 4)*-3)**2 + 0.\nAnswer: -1584*sqrt(13) + 14733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61.0000454 - 61. Round a to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {l: 1, o: 2, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1339 + 855. Let j = g + 1386. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -324\/11 - -5442\/187. Sort -1, 3, w in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 4*h + 5 - 11 + 0 + 0*h = 0. Calculate h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-3)\/3 - 3). Find the second derivative of -15 + 15 + t*i + 8*i**2 - 6*i wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/18 and 113\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3\/3 + 2. Let j = -12 - -8. Let l(z) = 9*z. Let n(o) = 8*o. Let r(d) = j*n(d) + 3*l(d). Calculate m(r(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-3*i - 3*i + 4*i - 2).\nAnswer: -4*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**4 + 22775140*r**3 - 8*r**2 + 6095*r - 65?\nAnswer: -144*r + 136650840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7293\/8, 5.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 77004\/(-534888) - 2*((-9)\/(-51))\/(-3)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -1\/2*t**3 - 5*t + 0*t**4 + 0 + 0*t**2 + 0*t**5 + 1\/10*t**6. Find the second derivative of u(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 81*t**3 + 498*t**2 - 756*t - 1176.\nAnswer: 3*(t - 2)*(t + 1)*(t + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -6889937\nAnswer: -9\/6889937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.338*-0.6.\nAnswer: 0.2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837362921.\nAnswer: 61, 13727261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 290 (b) 5 (c) 59632\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64544518 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**5 - 2*d**4 - 17*d**3 + 15*d**2 + 26*d + 11. Let k(l) = -l**3 + l**2 - l - 1. Let t(i) = 28*k(i) - 4*y(i). Let t(s) = 0. Calculate s.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 198, 304, 422, 558, 718?\n\"Answer: k**3 + 99*k + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + -18. Let t = 26 + d. Suppose 7 + 1 = b. Put b, -4, t in ascending order.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1\/3 (c) 21\/5 (d) 318.03 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/5 - 2986*g**4 + 5547170*g**3 + 95052802*g**2 + 212892828*g - 1567449072\/5 = 0. What is g?\nAnswer: -14, -4, 1, 3741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (16 - 8) - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 530*i - 42 + 42 + 7352*i.\nAnswer: i**2 + 7882*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 28152*o\/7 + 99066888\/7.\nAnswer: 2*(o + 7038)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idininrsinvii. What is prob of picking 1 i, 1 d, and 1 v?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 110 + 2*z + 140. What is the units digit of n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11517 and 8877.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0286 plus -0.16113098936?\nAnswer: -0.13253098936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) + 4 + sqrt(80) + sqrt(80)*2*-3)**2.\nAnswer: -224*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-4)\/(-32))\/(2\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (48\/(-1) + 2). Let d = 80 - o. Suppose -j = 5*h - d, -4*h + 0 = -4*j + 60. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10051842071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4063.\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 248*q - 103. Is y(48) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - 3*q**2 - 2*q - 7. Let x(i) = -i**3. Let a(u) = -p(u) - 4*x(u). What is the tens digit of a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 34. Suppose -3*h - 1 = g*a - 2*h, a + 10 = 3*h. Let c(t) = t - 4 + 2 + 3 + 1. Give c(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -37545 (b) 1 (c) 9\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.34808 hours in microseconds?\nAnswer: 120053088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1\/(30\/312).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + v + 5 + v + 2 - 2 + (1 + 2 - 4)*(2 - 2 - 2*v) + 135 + 19*v - 135 - 4 + 3*v + 4 to the form j + y*v and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) + sqrt(2688)*-2 + sqrt(2688) + sqrt(2688))\/(sqrt(54)*1).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)\/m)**47\/((m*m**6)\/m**(-8)) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6818646, 6818523, 6818398, 6818271, 6818142?\n\"Answer: -v**2 - 120*v + 6818767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26425 - 22055 = -118*i + 902*i - 9280 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**5 + 2*y**5 + y**5 + (-y**2 - 1 + 1)*(2*y**3 - 7*y**3 - y**3).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, -0.1, -675, -77\/5.\nAnswer: -675, -77\/5, -2\/5, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3979, 4492, 5015, 5536, 6043, 6524?\nAnswer: 6967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 382 and -0.0114.\nAnswer: -4.3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 609858537 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 32*z - 36. Let o be t(16). List the prime factors of (142\/8)\/(-4 - (-885)\/o).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4, 1.9, 301177?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/158 - 915\/1738. Let m = -2\/3 - -1. Which is the biggest value? (a) 3\/7 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 5, b: 6}. What is prob of sequence aj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -3 (c) 5 (d) -4 (e) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/4))**(-30)*(c**(1\/2))**(-14))**(-5) assuming c is positive.\nAnswer: c**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 140, 157, 172, 185, 196, 205?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and -2\/3201.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-6))\/(8\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = 3*c, -11 = -2*w - 2*c + 1. Suppose -23 + w = -6*d. Solve -6*y = d*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -7 - 10 - -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/310)\/((-2)\/((-6)\/(-5))*(-396)\/880).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233640 rounded to the nearest 1000?\nAnswer: -234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 + 171. Find the third derivative of -26*o + p*o - 13 + 13 + 2*o**2 - 40*o**4 wrt o.\nAnswer: -960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8307*d**4 - 3638*d?\nAnswer: 99684*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -827 + 469. Let c = 24502 - 24863.19. Let h = c - n. What is h rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-16)\/32 - (-10)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-21 + 55) - -19) + 270\/38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*u + 234, -5*m - 5*u = -0*m - 570. Suppose -7*y + m + 3529 = 0. List the prime factors of y.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -91 + -10 + 69\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - s + 12. Let y(i) = 5*i**2 - 2*i + 26. Let p(x) = 13*n(x) - 6*y(x). Let v be (-2)\/4*(0 + -4). Let h be 1\/v*(2 + 0). Calculate p(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2460600 divided by -18\nAnswer: -136700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o**2 + 193*o + 39. Give f(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83497507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 2*x**2 - 6*x + 2. Let c(m) = m - 6. Let u be c(3). Let j be z(u). What is the greatest common divisor of 99 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**4\/12 + w**3\/3 + 2*w**2. Let u(b) = -b + 2. Suppose 0*d = 3*d - 219. Let s = d - 77. Give s*u(p) + 3*o(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2052863, 2052856, 2052859, 2052878, 2052919, 2052988, 2053091?\nAnswer: 2053234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376005 + -71548. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 899 + -901.6. Sort -7, q, -1 in increasing order.\nAnswer: -7, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3388421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -3 + -11 + (-23 + -2 - 33).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 4*o**2 + 3*o + 1. Calculate v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4 - 5436313*s**3 + 2762358*s**2 + s - 2.\nAnswer: 24*s - 32617878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 79443+-0.5\nAnswer: 79442.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -9*o + 80. Let r = 14 - o. Suppose r = 3*s - 206 + 59. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3)*(-3*c + 3*c - c - 13 - 5*c + 6 + 4 - 2*c + 0*c + 4*c + (-2 - 2*c + 2)*(-5 + 0 + 4) + 621*c + 4008 - 4008) in the form y*c + z and give y.\nAnswer: -1857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336449?\nAnswer: 509, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 + -0.6. Let v = c - 7. Let u be (2\/(-3))\/((-7)\/((-630)\/24)). What is the closest to 2 in u, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 15*s - 21. Let p be (9 - (-136)\/(-16))\/(8\/224). Calculate k(p).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -1\/4*v**4 + 21*v + 0 + 2*v**2 - 1\/3*v**3. Determine g(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26042 smaller than 26094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -b423b (base 13) to base 4\nAnswer: -1032330103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 113. What is the second biggest value in s, 1\/9, 4\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42870 + -475300.\nAnswer: -432430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -66170?\nAnswer: -6616a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1250, -4977, -11198, -19919, -31146, -44885?\nAnswer: -61142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from aqqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-75)*(((-2052)\/(-120))\/19)\/(18\/330)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4749605 to the nearest integer?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**6\/40 - 29*h**5\/12 + 757*h**4\/24 - 622*h**2. What is the second derivative of i(g) wrt g?\nAnswer: -18*g - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:34 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/24 (b) -15 (c) -2 (d) -1\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2. Let l be d(0). Let j = -25\/2 + 51\/4. Let k = -0.06 - 0.44. Which is the nearest to j? (a) 0 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.8153871703 + -0.4.\nAnswer: 15.4153871703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - p + 15581 - 61135, 2*p = -4*b + 36446. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 281f?\nAnswer: -281c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let n be p(-3). Let x = 1 + n. Let a = 15 + x. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -8. Suppose 2*x - q - 91 = -n, -4*x + 2*n + 246 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3 - 1045503*n**2 + n + 3628360 wrt n.\nAnswer: 6*n**2 - 2091006*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -41567?\nAnswer: -41567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/24*w**4 + 1\/120*w**5 + 0 + 0*w**3 + 0*w - 2*w**2. Factor s(f).\nAnswer: f*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = 3*g. Let b = 52 + -2. What is the highest common divisor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16548*d - 188261 = -48649 + 63891 + 28169 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 21. Let d be w(-17). Suppose l = -h + 10 + 1, 0 = l - d*h - 16. Suppose -22*u - l = -26*u. Solve 4 = -7*r + u*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3 - 7746*h**2 + 7503936*h - 7496192 = 0?\nAnswer: 1, 1936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 + 2111*s**2 - 2108*s**2 + 2*s**4 + 14 + s as i*s**4 + r*s + c*s**3 + w + v*s**2 and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, r: 2, s: 1, z: 2, o: 6}. Give prob of sequence rzz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 929035309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*(sqrt(114) + -1*sqrt(114)))\/((sqrt(216)\/sqrt(4)*-6)\/sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 + 224*s - 241. Let q(g) = -6*g**2 + 228*g - 240. Let x(b) = -3*o(b) + 4*q(b). Factor x(m).\nAnswer: -3*(m - 79)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 0)**2) + 2 - (sqrt(3)*2 + 4) - (sqrt(36)\/sqrt(48) + sqrt(3) - (4 + 2*sqrt(3))) - (((sqrt(24)\/sqrt(4)*3)\/sqrt(2))**2 + -2 + 4).\nAnswer: -30 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = 2*h, -3*j - 2*h = 12 - 14. Sort j, -5, 11, 2.\nAnswer: -5, j, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 + 209. Suppose 0 = -7*v + 32 + r. Solve 4*q - q = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*x = -4623, -4*c + 5*x - 7*x = -4614. Suppose -5*k - z = -3611, 3*k - c = 5*z + 1009. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 23. Let s(m) = -m + 22. Let u(o) = -4*j(o) + 5*s(o). Let b be (14\/4)\/(11\/22 + -2 + 2). What is the remainder when 52 is divided by u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15 + -163122.3.\nAnswer: -163122.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -32*d**3 + 2*d + 1. Let l be q(-1). Suppose 0 = 17*o - 15*o - 80. Let u = o - l. Sort 4, -3, u in ascending order.\nAnswer: -3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2181237 - 5\nAnswer: -4.7818763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 80. Let c be 1591\/3 + t\/(-51). Let s be (2\/5)\/(-1 - (-522)\/c). Which is greater: -27 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(11) - (-3 + (sqrt(11) - 1*sqrt(11)))**2) + (sqrt(275) - (sqrt(275) - (3 + sqrt(275))) - sqrt(275))**2).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -77.\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26417440?\nAnswer: 2, 5, 7, 103, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 4*y + 14. Let b(n) = -2*n + 7. Let z(k) = 2*b(k) - w(k). Let g(u) = 33*u. Let s(c) = 164*c. Let x(h) = -14*g(h) + 3*s(h). Calculate x(z(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 6 - 9*o + 4*o**2 - 3*o**2. Suppose -2*g + 1 = -9. Determine s(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 579.5192 and -0.2?\nAnswer: -115.90384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 19\/(-10))\/((-9)\/54).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 250*d + 2322. What is j(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9*k + 7 - 10)*(86 + 1 + 83).\nAnswer: -1530*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 1, 25, 79, 175?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 59439 - 7023 = 0. Calculate the remainder when q is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*x - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306815240 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(2 + 0 + 4). What is the biggest value in k, -1\/21, -0.4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsnhssvhssso. Give prob of sequence ns.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 226910 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: -304226514 (base 7) to base 13\nAnswer: -38c5746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, -2\/5, -10\/19 in increasing order.\nAnswer: -4, -2, -10\/19, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.2. Let y = u + 0.3. Let d = -293\/1440 + -3\/160. Which is the nearest to y? (a) 1\/3 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, -0.8, 0.2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324461*o**3*v**3 + o**2*v**3 + 7*o**2 + 1164*o*v**3 + 3*o*v wrt o?\nAnswer: 1946766*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*n + 1, 0*z + z = -5*n - 15. Let w be (-2 + 0 - -1) + -1. Let x be w\/z - (-34)\/10. Solve -s - 21 = 3*a + 2*a, -x*a = -5*s + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/12)\/(10\/(-15)) - 6. Which is the closest to -0.04? (a) -1\/3 (b) 5 (c) 4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.033 - 0.033. Let p = 694.2 + -694. What is the second smallest value in q, -8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/7, -4\/7, 7.\nAnswer: -3, -4\/7, -1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 4081850?\nAnswer: 195928800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - -19. Let k = -91 + o. Factor -2\/11*a - 2\/11 + 2\/11*a**2 + 2\/11*a**k.\nAnswer: 2*(a - 1)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -74*t - 296 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35819 is divided by 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54411904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5111 + -4923.38. Let j = f + -220.6. Let u = -33 - j. Which is the nearest to -0.3? (a) -3 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -84, -355, -806, -1437, -2248, -3239, -4410?\n\"Answer: -90*m**2 - m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**3 + 20*u - 20*u + (-15*u**2 + 530*u - 530*u)*(4 - 4 - 2*u) + (0 + 0 + u)*(0*u**2 + 3*u**2 - 4*u**2) as c*u**2 + n*u + r*u**3 + a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:35 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 2 s when four letters picked without replacement from {q: 1, t: 3, h: 4, s: 2, a: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 - 20*t + 49. Let u(a) be the first derivative of a**4\/4 + a**2\/2 - 36. Let d(l) = -q(l) - 6*u(l). What is the derivative of d(x) wrt x?\nAnswer: -6*x**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-198)\/12)*(-60)\/(-32)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:32 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (13 - 4) + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*(-102)\/340?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 0*f - 896 = 0. Suppose 31*r - 184 = 8*r. Calculate the highest common divisor of f and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1656 divided by 6\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - 6*w - 14. Let o be a(-7). Suppose z - o - 2 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-7))*(g**(-3\/19)*g)\/g)\/(g**(3\/7))**(-1\/26))**(-4) assuming g is positive.\nAnswer: g**(49390\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1423\/41 + 18272661\/526481. Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4442, -8889, -13336, -17783, -22230?\nAnswer: -26677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n. Let m(f) be the first derivative of 0*f + 0*f**2 - 7 + 2\/3*f**3. What is m(i(k))?\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35796 - 9?\nAnswer: -357a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -14, 3, 4, -3, 688 in decreasing order.\nAnswer: 688, 5, 4, 3, -3, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 21.4. Let k = 4.6 + s. Which is the fourth biggest value? (a) k (b) -0.3 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 minus -0.76?\nAnswer: -47.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-525)\/(-2772) - ((-3)\/(-12) + 0)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4977 = 3*i, 0 = -2*i + 3*i - 4*l - 1644. Is 46 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57767*c**2*d + 4*c**2 - 2*c*d - 219898 wrt c?\nAnswer: -115534*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -23*d**3 + 38*d - 13*d**2 - 42*d + 45*d**3 - 28*d**3 + 4*d**2. Let t(v) = 13*v**3 + 19*v**2 + 9*v. What is 9*n(m) + 4*t(m)?\nAnswer: -2*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 4 + 13 + (2 - (12 + -4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (22 - (0 - -1))*(-240)\/(-56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 1\/6*w**4 - 1\/3*w**3 + 1\/10*w**5 - 27*w - w**2 + 0. Solve z(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9628 minus -0.2?\nAnswer: -3.7628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, -1, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267055*0.02.\nAnswer: 5341.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94.4*245.\nAnswer: -23128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -l - 128, 16 = -n + 5*l. Let d = n - -96. Suppose 13*w - 8*w - d = 0. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5. Let i be o(-3). Suppose 3*v = -i*q - 2*v + 243, 4*q = 3*v + 251. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aeead (base 16) in base 11?\nAnswer: aa610a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l**2 + 332*l - 163. Give t(21).\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {d: 8, q: 2, w: 2, z: 1, k: 2, t: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -j - 26, 4*o + 16 = -j - 13. Let m = j - -35. What are the prime factors of (3\/m + 1)*2 - -88?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 1, a: 7, h: 7, k: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -9275805 and 5441.\nAnswer: -9270364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 82768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c7b7a + 5?\nAnswer: 1c7b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4585.\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -216255.95286 rounded to the nearest one thousand?\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {k: 3, x: 6, b: 8}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l**(-3)\/l)\/l)\/l))*(l*l*l**(-8)\/l)\/l)**(-9\/11))**38 assuming l is positive.\nAnswer: l**(4788\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-225*m - 1 + 121*m + 120*m)*(3 + 5 - 4).\nAnswer: 64*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 253615584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 35*q**4 + 6 + 3 + 2*q + 9 - 2*q**3 + 2*q**2 - 23 as r*q**4 + y + s*q**2 + h*q + n*q**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/3*175\/(4725\/162)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129178, -259935, -390692, -521449?\nAnswer: -652206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Let h(m) be the second derivative of -2*m - 1\/3*m**3 - m**2 + q. What is the first derivative of h(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 2*d - 42, -5*d = -203*j - 162*j - 945*j - d - 10460 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 1120.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -9*s - 140. What is the common denominator of -1 - ((-21)\/12 - 1) and 45\/21 + s\/(-14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-3 + 3 - 1). Suppose p*d = -26 + 234. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024503 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 6471570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -11*u**4\/12 + 19*u**3\/3 + 40*u**2. Find the first derivative of w(i) wrt i.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0370399 and 15498.94.\nAnswer: 15498.9029601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1716 - 1528.2. Round p to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1050, -37364, 0 in ascending order.\nAnswer: -37364, 0, 1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + (-296)\/7. Let j be (-120)\/v*(-14)\/(-4). Suppose 8*m + 71 = 87. Solve 0 = 3*g - m*h + 11, 2*g - 3*h = -h - j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 5 = -g. Suppose -2*b - 4*m = -22, -g - 11 = -5*m. Solve 0 = -b*u - 2*p + 5, 4*u + 0*p - 15 = -p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1 - 3*o - 4 + 3. Let k(c) be the first derivative of -3*c**2\/2 + 2. Give i(k(p)).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 763\/12140?\nAnswer: 763\/12140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113150235 - 1?\nAnswer: 113150234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2483 - -2515. Calculate the remainder when 219 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - -1.65. Let s = -1.50000103 + h. Round s to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.8 (b) 0.3 (c) 961973\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/185 less than or equal to -9270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 16. Suppose 2 = -3*v + 4*v. Solve -m = v*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 94*s**2 - 22*s - 2113. What is l(-94)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 28. Suppose -4*q = 101 - 125. Suppose 16 = -2*p + q*p. What is the least common multiple of p and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5214 - 3117. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 19 = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + -59 + 129 + (0 - (-62 + -1)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:39 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x**5 + 2*x + (1 + 0 + 1)*(-x**5 + 3*x**5 + 0*x**5) - x**2 + x**2 + x**5.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -1.99. Let w be ((-1)\/(-6))\/(-1 + (-36)\/(-27)). Which is the closest to n? (a) -1 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 210*q**2 + 637*q - 38. Determine t(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 141 (b) -31382 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 4574*d\/5.\nAnswer: 2*d*(d + 2287)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**8\/48 - 11*d**5\/60 - 2*d**2. What is the third derivative of a(t) wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 496.799?\nAnswer: -491.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9728407 to the nearest integer?\nAnswer: 3119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Suppose -2*b + 2*g - 4*g = -44, 0 = b - g - 24. Suppose 5*n = -2*v + b, 0 = -v - 3*v + 5*n + 1. Solve -2*r - 4 = -v*l, -c + 3 = 4*r - 3*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 + 6)\/(2 - 0). Let z(r) = -r**2 - 3*r + 1. Calculate z(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21077174 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 3*i - 8. Let q(p) = 8*p - 4*p**2 - p**2 - 12 - p**2. Let s(f) = -6*f**2 + 9*f - 13. Let h(t) = -6*q(t) + 5*s(t). What is -6*h(k) - 5*x(k)?\nAnswer: -k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 7. Let t(f) = -4*f - 5 + 10*f - 3*f. Let v(g) = -2*g + 4. Give k*t(u) - 4*v(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -n - 2*z, 2*z + 3*z = 3*n + 1. Suppose 0 = -2*y + 3*h - 3, n = 2*y - 4*h + 3*h. Solve 0 = y*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*l - 25 - 267, -26*u + l - 222 = -23*u - 2*l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 - -8. Let b = p - 0.5000007. What is b rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 3069, -0.1?\nAnswer: 3069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150.342 + 0.342. Let r = 150.058 + k. Let y = -4.942 - r. Put y, -1\/10, -6 in decreasing order.\nAnswer: -1\/10, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200309821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69965 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1840015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 1 - 1 + 3*g**3 - 3*g**3 - g**3 + 7*g**3 - 7*g + 7*g + (1 - 1 - 2*g)*(-430*g + 430*g - 19*g**2).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 4566893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1222386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 + 14 - 26*b + 6*b**2 + 17*b. What is the tens digit of h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*f = 82, -5*k = 5*f - 92 + 22. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + (sqrt(16)*1)\/sqrt(4))\/((1*sqrt(6))\/sqrt(3)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 2:21 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544 + 28*v**3 - 876 + 332.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*i**3 - 8361*i**2 + 8361*i**2.\nAnswer: -173*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -183991 (base 14) in base 6?\nAnswer: -30155335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 92 = -5*s - 4*m, -4*s + 52 = 4*m. Suppose 2*h = -0*r - 4*r + s, 0 = 3*h - 3*r. Solve 9 = h*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*f + 5*g, -14*f + 12*f = -4*g + 12. Which is the nearest to 1? (a) f (b) -4 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(sqrt(152) - (sqrt(152)*2*-5 - sqrt(152))))\/(sqrt(72)\/((sqrt(216)\/sqrt(4))\/sqrt(6))))**2.\nAnswer: 120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1186 or 1790?\nAnswer: 1790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 323110 + 23?\nAnswer: 323133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/99 - (6560\/55)\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -949 + 946. Let n = 0 + 1. Which is the closest to n? (a) -1\/4 (b) -2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*c - 207 - 3 = 2287 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 13553150 + 16*n**3 + 13553150 - 6*n**3 + 5*n**3.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 66310420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56501.92 rounded to the nearest ten?\nAnswer: 56500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6673*a**4 - a**3 + 45*a**2 + 17*a + 15.\nAnswer: -160152*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/6 - (-546)\/36. Let j be (-5)\/p + (-13)\/(-3). Solve 3*f = t + 4*t + 1, j*t + 5 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*w = 299*w + 1915. Let z = w + 568. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**4\/4 - 65*g**3\/2 - 155*g**2 + 450*g = 0.\nAnswer: -18, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 644535 + -644540. Let z(c) = 23*c**3 + 5*c + 5. Let j(q) = -357*q**3 - 7 - 72*q - 65 + 24*q**3. What is n*j(f) - 72*z(f)?\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-66)*15\/20.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5916, -5, 4?\nAnswer: 0.5916","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**3 + 2*c**2 + 4*c + 2. Let x(r) = -9*r**3 - 3*r**2 - 5*r - 3. Let v(m) = 4*h(m) + 3*x(m). Give v(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 23500*o**2 - 258499*o - 11 = 0?\nAnswer: -1\/23500, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 7. Let c = -0.332 + 0.032. Let z(b) = b**3 - 3*b**2 + 4*b - 3. Let j be z(2). Sort j, k, c in ascending order.\nAnswer: k, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7849188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95.03 and 56845.\nAnswer: 56749.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11185*r**2 + 9328*r**2 - 106280*r**2.\nAnswer: -85767*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 177733981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -457. Suppose -u + d = -2*c, 0 = -5*u - 23*c + 26*c + 131. Calculate the smallest common multiple of 32 and u.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1258 and 59\/12?\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -52.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 5*v**2 - 11*v - 28. What is z(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5521, 5525, 5531, 5539, 5549?\n\"Answer: s**2 + s + 5519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:48 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 5*x + 10, -963*c + 961*c - 5*x - 25 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o - 10. Let r be 20\/6*(129\/15 - 5). Let i be r\/(-15)*(-4 - 1). List the prime factors of t(i).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + h + 2*h)*(2 - 1 + 0) + 2*h - 5*h + 18*h - 3 + 2*h + 3 as a + w*h and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 417560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55.8? (a) 4 (b) -3\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let n be 2\/1*(-25)\/(-10). Suppose -13 = -n*w + 2. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10765936.\nAnswer: 2, 672871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = f. Suppose -2*d = -f*d. Solve d = -4*y + 3*b + 6, 0 = 4*y + 3*b - b - 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*z - 730 = -2434 - 6388 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 4*m**2 + 3*m + 5. Suppose -44 = 14*j - 12*j. Let n = -16 - j. What is the tens digit of i(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 1. Let b(c) = -2*c**3 - 113*c**2 - 3. What is b(h) - 5*d(h)?\nAnswer: -2*h**3 - 108*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -78830.03 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((306\/(-68))\/((-12)\/(-52)*-1))\/((-3)\/2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -778*t - 396. List the prime factors of l(-16).\nAnswer: 2, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 78*i - 83*i - 12, i - 4*x = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60b32c + -1?\nAnswer: -60b32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + 0 + -2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -1 - (-5 + 3). Solve -i = 5*f - 4*z - 24, -5*f - 2*z = 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 673.1 and -0.0801.\nAnswer: -53.91531","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*v + 10 + 112 = 0, 5*v + 331 = 3*a. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 844 + -576. Calculate the least common multiple of 8 and p.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5518*t + 32294. Calculate r(6).\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -8*c - 308. Let a = c + 60. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1380516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4 in decreasing order.\nAnswer: 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/15 + 24*f**2. Let t(a) = -9*a**2. What is t(u(b))?\nAnswer: -144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-286)\/(-6)*(1 + 2). Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11571 - -11576. Solve p = h*g - 25 + 5, 5*g = -4*p + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.299631 - 7.3. What is f rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**3 + 10*x**2 + 3*x - 3. Let b(s) = -7*s**3 + 11*s**2 + 4*s - 3. Let j(h) = 5*b(h) - 6*v(h). Determine j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -35, -5, 12 in increasing order.\nAnswer: -35, -5, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18822085 (base 9) to base 14.\nAnswer: 139bd46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.24734 and 4.\nAnswer: 3.75266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 - 32*y**3 - 12*y**3 - 11*y**3.\nAnswer: -68*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142367 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: List the prime factors of 107237669.\nAnswer: 7, 11, 1392697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2480 and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/(6\/(-480)). Let o be (-4)\/6 + x\/15. Solve o*p = 4*r - 12, 11 + 14 = 5*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, -2*g = g - c - 121. Suppose 210 = 5*w - g. Let i be -1 - 2*w\/(-4). Solve 4*h + 0*d = 4*d + i, 3*d = 4*h - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipi when three letters picked without replacement from {i: 17, p: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59909 by -4.\nAnswer: -59909\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18664.23769 + -18578.23768964. Let b = -86 + z. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 292*n = 297*n - 10, 5*a + 2*n + 23 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u. Let w(q) = 5*q**2 - 9. Let c = 65 + -74. Let k(l) = -l**2 + 2. Let a(s) = c*k(s) - 2*w(s). What is x(a(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8*v + 5. Let w be 17\/(-2) + (-3)\/2. What is the tens digit of z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 84 = 3*q + 2*q, -81 = 5*q + 2*h. Let o be (-80)\/384*27\/q. What is the nearest to 0.1 in -0.3, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -111, -374, -877, -1698, -2915?\nAnswer: -4606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7972857110 rounded to the nearest 1000000?\nAnswer: -7973000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Suppose -3*v - y*m = 7, -v + 2*v + 5*m = 1. Let x = -218.2 - -218.6. Which is the third biggest value? (a) x (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12565411.\nAnswer: 109, 115279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41459 is divided by 40944?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51601, 205971, 463255, 823453, 1286565, 1852591?\n\"Answer: 51457*k**2 - k + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 2\/13 (c) 2 (d) -1917 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2478 + 589.3478. Let t = v - 590. Is t at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11 = q - 14, -3*i - 2*q + 20 = 0. Let l = 15 - i. Calculate the remainder when l is divided by 2 - (-2)\/(4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 26*c - 22. Suppose 0 = 2*j - 4*q + c + 14, 3*j - 2*q + 4 = 0. Solve -4*i = j*s + s - 7, -15 = 5*i - s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. Suppose d = 3*j - a*d + 45, 0 = j + 3*d + 29. Let z = j - -28. Solve 3*w = -w + z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7139, -20 in descending order.\nAnswer: -4, -20, -7139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:39 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.178*-3709\nAnswer: 660.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8880*x = -815*x - 862955 for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -366962085 divided by 205581?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let k(o) = 4*o + 1. Let y(m) = -4*m**2 - 8*m + 13. Let l(w) = 2*k(w) + y(w). Determine v(l(x)).\nAnswer: -8*x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-1 + 3*k + 1)*(678*k**4 - 262*k**4 - 318*k**4).\nAnswer: -294*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, 5\/4, 0.031?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = b - 0*b. What are the prime factors of (-7713)\/6*(22\/3)\/b?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 2) + (-19 - -29).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, 15\/17, 6, -4, -8, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 less than -34\/515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000352 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fll when three letters picked without replacement from lllffllffll?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k + 50. Let t(x) = -2*x + 1. Let h(g) = r(g) + 12*t(g). Let c be h(-10). Suppose 3*o + 5*n - 370 = -c*o, -3*o = 5*n - 224. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1215551.752 to the nearest 100.\nAnswer: 1215600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 5*k - k)*(3 - 1 - 3) + 2*k + 2*k - 6*k - 7*k - 5*k + 8*k)*(3 + 0*k + 0*k - k).\nAnswer: 8*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:43 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 363442643.1 rounded to the nearest 100000?\nAnswer: 363400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/4 - 4655*u**2\/4 + 274890*u - 1867635.\nAnswer: 5*(u - 462)**2*(u - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-8)*(-4)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24313351 + 4?\nAnswer: 24313355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7556.826 nanograms?\nAnswer: 0.000000007556826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 277 (b) -4 (c) -1\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-95186)\/1001 - (-2632)\/28\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 52, 123, 226, 361, 528, 727?\n\"Answer: 16*x**2 - 9*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132103223 (base 4) to base 10.\nAnswer: -124139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:19 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 579*z**2\/2 + 116217*z\/4.\nAnswer: z*(z + 111)*(z + 1047)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 + 5*h - 5. Let i(w) = 7*w**2 + 5*w - 4. Let d(j) = -7*i(j) + 6*o(j). Let l be (2 - 8) + 1 + 0. What is d(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -4429*x**5\/60 + 111*x**4\/4 - x**3\/6 - 831*x**2. What is the second derivative of m(p) wrt p?\nAnswer: -8858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/63444 and -70\/933.\nAnswer: 63444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 10*u - 50 = 0, u + 2 - 7 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19239138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9949674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - 6) + (1 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/24 - y**2. Suppose -2*j - 2*j = 3*k - 2, -4 = 4*j. Let m(w) = -w**k + 2*w**2 - 3*w**2. Calculate m(g(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*j + 2762, -4*g + 3325 = 5*j + 560. Is 38 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576178.\nAnswer: 2, 788089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*t + 13 - 2, -5*y + 170 = 2*t. Suppose y*v - 188 = 37*v. Is (5 - (-27)\/(-12))\/((-1)\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from uuiuiiuuuuuuuuuu?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (3 - 0))*(-13)\/(12 - 4133). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 + 2388*o**3 - 369220*o**2 + 3800796*o - 3433960 = 0?\nAnswer: 1, 10, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1864 - 1865. Do g and -7\/67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 + 4*w - 2. What is z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426481.\nAnswer: 11, 137, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 3*o, 2*f - 2*o = 0. Let p be 3*(2 + (-8)\/6). Suppose 15 = 5*y + 5*k, y = -p*y - f*k + 8. What is the third smallest value in 1\/8, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 105, 143, 173, 189?\n\"Answer: -q**3 + 5*q**2 + 32*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - 85. Let p = 112 + o. Let a = 145.99826 - p. Round a to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 225 = -0. Suppose -3*s - 6 = -c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014742623 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14132b + -b?\nAnswer: 141320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(4 + -3)*1. Suppose -3*t + 6 = -5*u, -v*u = 3*t - 5*u - 6. Let n(r) = 15*r - 6*r + 3*r**t - r**2 - r**2 + 5. What is n(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = 0. Suppose u + 8 = -3*d, -u - d - d - 4 = t. Let n(v) be the second derivative of v**4\/12 - 2*v**3\/3 + 5*v**2\/2 + 7*v. Give n(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/21)\/((-3)\/(-21)). Let d(f) = -3*f + 3. Let j(b) = 3*b - 3. Give p*j(n) + 3*d(n).\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 8*g. Suppose g*l - 51 = -3*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 1288083?\nAnswer: 1288115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 773.5012 centuries?\nAnswer: 928201.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 5122224*w\/7 + 25611070\/7.\nAnswer: 2*(w - 2561107)*(w - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, h: 3}. Give prob of picking 1 y and 1 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 11*m**2 + 5*m**2 - 2*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*p + 130*p + 11970 = -27*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 7*t**2 - 6*t**2 - 2*t**2 + 17*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**5 + a**4 + a**3 + a**2 - 1. Let m(w) = -5*w**5 + 5*w**4 + 9*w**3 + w**2 - 4*w - 3. Let f(i) = -m(i) + 3*u(i). Let f(t) = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 19*i**2 - 8*i + 10. Let w be t(-9). Are w and 4\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 3690\/13 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*b**2 + 4*a*h - 2*a + 7*b**4*h + 12*b**3*h + h + 13 with respect to b.\nAnswer: -4*a*b + 28*b**3*h + 36*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*r + 31, -4*d + 3*r = -8 + 49. Let g be 1*d\/4*-6. Let n = 23 - g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(75 - 11) - ((-22)\/(-16) + -2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 10*p - 3. Let h(u) = 3*u - 57. Let x(r) = r - 19. Let d(w) = 2*h(w) - 7*x(w). Let o be d(13). Let j be 6*(-3)\/o*-3. Give f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10526023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*-4*8\/(-72) + 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:52 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 18*u**2 - 16. Let l be c(-17). Let i = l - 113. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h + 215 = 0. Let b = 250 + h. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.14, -2\/1573, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15646522 (base 7) to base 15\nAnswer: 201abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 30294?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 23*x - 1. What is l(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t - 15 = 0, -u - 4*t = -4383. Suppose 3792 = 9*s - u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-2)*(2 + 0). Let k be (0 + (-6)\/o)*-70. Let s = -17 - k. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32211 and 492156.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 4 - -2) + 151. Let f = -224 + w. Let u = -52 - f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001322384 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a - a)*(-a**3 - a + a) + (-a + 4 - 4)*(-25*a**3 - 3 + 1 + 51*a**3).\nAnswer: -28*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/5))\/(w**(-2\/5)\/w))\/((w*w**(-1))\/w*w**(-3)\/w))\/((w*(w\/(w**4\/w))\/w)\/w**3*(w*w\/(((w\/(w\/(w*w**(2\/5))*w))\/w)\/w))**18) assuming w is positive.\nAnswer: w**(-261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2381.4 rounded to the nearest ten?\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 45*t**3 + 1056*t**2 + 91827*t + 350880. Let v(n) = 7*n**3 + 3*n**2 - 2. Let b(y) = p(y) - 6*v(y). Factor b(f).\nAnswer: 3*(f + 4)*(f + 171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgqkaack. What is prob of sequence aq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + l - 4*l)*(459*l - 459*l - 21*l**3).\nAnswer: -42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4741055?\nAnswer: 5, 11, 86201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*l**4*v**2 + 2*l**4*v - l**3*v - 9*l**2 - l*v**2 + 2*l wrt l.\nAnswer: 1056*l*v**2 + 48*l*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1124 + -654. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 9*k**2 - 1155*k - 5157. Determine q(32).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -340 + 339.95. Suppose 5*s = 9 - 4. Which is bigger: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9505735.\nAnswer: 5, 1901147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus -39161?\nAnswer: 39161.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28906, -28908, -28910, -28912, -28914?\nAnswer: -28916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -40*a**2 + 78*a + 156. Calculate z(-8).\nAnswer: -3028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1125 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = 19. Put 1, -3, l in decreasing order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-14)*2*728\/624.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/26 + 639\/13. Let b be 4\/(-32) - 74109\/(-168). Calculate the highest common factor of v and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/19 in 0.4, 59, -8, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l - 6. Let f be p(-4). Suppose -4*r + 90 = f. Suppose -4975*j = -4972*j + o - 229, -50 = -5*o. What is the remainder when j is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g - 17. Let t be o(6). Let h = t - 43. Let s = 21 + h. Solve -s*c = 8 + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-26)\/(-5))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10\/15 + 0)\/((-4)\/(-4134))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 208*c + 1772. Calculate d(10).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -7*w**6\/20 + w**5\/12 + w**4\/8 + 34*w**2 - 2*w. Find the third derivative of q(v) wrt v.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -781*u + 784*u - 2, u + 5 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 7189809?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*c - 2*c = 8, -2*o + 16 = 3*c. Suppose -o*h + 40 = 8. Let d = 39 - 20. Calculate the remainder when d is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*u + 5*t, 3*t = -5*u + t - 131. Let a be 18\/u - 16\/(-6). Let h be ((-14)\/(-595))\/((-2)\/10). What is the nearest to h in a, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrrrrkqqrqqrrrrkqrq. Give prob of picking 4 r.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 570143 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 36203?\nAnswer: -36203.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 88*c**2 - 6*c + 535. Let n be v(88). Let q be (84\/18)\/((-2)\/(-3)). Let y = q + -2. Solve n + y = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.3418ml in litres?\nAnswer: 0.0253418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 7*i - 595 = 0. Round i to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280525683 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187192 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 8}. Give prob of picking 2 l and 2 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + 3 + (-2 + (sqrt(468)*2 - sqrt(468)) + sqrt(468))*-6)**2*2.\nAnswer: -2304*sqrt(13) + 134912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-34 - -10)*-27\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1635800*s*y + 1423*y + 166 with respect to s.\nAnswer: -1635800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let s = -200 + 195. Let k be c(s). Solve -4*f = -2*i + i - 10, 3*f = -k*i + 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275235 less than 275245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 787546109 from -1.215.\nAnswer: -787546110.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2*d - 3*d + (d + 0*d + 0*d)*(2 + 4 - 5) - 36 + 38 - 11 - 86*d.\nAnswer: -87*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(126\/27*24\/42 + (-110)\/48).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8514 + 1.0641. What is d rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 - 2 - (305 + -334)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118219?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + 31. Suppose -2*x - z = 38. What is the common denominator of ((-14)\/x)\/(4\/149) and 73\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -479 * -3.\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -7161 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 54, 77, 98, 117, 134?\n\"Answer: -h**2 + 28*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:07 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/((-18)\/(-45)). Is 10 a factor of (48\/32)\/(i\/100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*f**4 + 27942*f - 2654865.\nAnswer: -84*f**3 + 27942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200598 and 7638?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 5, 0.1, 4\/9, -14\/17 in decreasing order.\nAnswer: 5, 2, 4\/9, 0.1, 0, -14\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 + 3. Let c be n(-5). Let b(a) = 4*a**2 - 3*a**3 + 5*a + 4*a**c - 12*a**2 + 9. Let v be b(7). Let s(l) = 3*l + 6. Give s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z**2 + 2287*z + 11624. Calculate u(-223).\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 777 - 690. Calculate the remainder when h is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64775 + -2572. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*k**2 + 837*k + 0 - 2*k**2 - 3*k**2 + 4634*k.\nAnswer: 2*k**2 + 5471*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 6:51 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 10:53 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.414 times -0.284?\nAnswer: 6.933576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 times 6?\nAnswer: 3558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -165021400 to the nearest one hundred thousand.\nAnswer: -165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4064755, -4064757, -4064759, -4064761, -4064763?\n\"Answer: -2*t - 4064753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4380195 rounded to two dps?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222120 + 10000?\nAnswer: 1002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18891*q + 18836*q = -165 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013325411.46 minus -0.12?\nAnswer: -1013325411.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 3, -25, -75, -153, -265, -417?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -289.4, 1.2, 3\/5, -8 in decreasing order.\nAnswer: 1.2, 3\/5, -0.4, -8, -289.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -2*b**3 - 10*b**2 - 6*b. Is 9 a factor of i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -57985.943\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -2*s**3\/21 - 2*s**2\/7 + 24. Solve q(m) = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 156904 = -0*w + g, 3*g - 12 = 0. Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13988 is divided by 326.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10913.38514 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*-3*(-212949)\/(-5258)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1452 = -5*s - 4*k, -k = -2. Let h = s + 292. Solve h = -5*d + 13 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-21) - -1)\/(50*(-19)\/1140)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11424 + -4175. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1920 and -23\/81360.\nAnswer: 650880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 14. Let n(i) = -3*i**3 + 9. Let z(w) = 2*w**3 - 63*w**2 - 34*w + 56. Let c be z(32). What is c*n(f) - 5*l(f)?\nAnswer: 4*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/(2\/(-26)). Let o = 27 + j. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 7. Let q be y(5). Let l(k) = 2*k**2 - k + 3. Suppose 30 = 2*o + 4*o. Let x(j) = j**2 + 1. Calculate o*x(d) + q*l(d).\nAnswer: d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4445788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**3 + 81*f**4 + 0*f**3 - 79*f**4 + 1 - 4*f + 11*f**3 - 10*f + f**2 to the form o*f**2 + s*f**4 + y*f**3 + g + n*f and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*k - 236, 4*k - 2*l = -6*l + 208. Suppose 2*o + k = -2*o. Is o < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5721*r - 526330. Determine y(92).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65139*r**4 + 297246 wrt r.\nAnswer: 260556*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.05 - -0.05. Is m > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109725 to the power of 1\/2, to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 17 (b) -0.4 (c) 5 (d) 12 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 - 3 = 0, 4*n + 95 = -3*m. Let l be (-6)\/5*(-11 + m). What is the highest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -197*r + 102*r + 6 + 98*r. Determine z(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375269355 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/186 and 49\/75672.\nAnswer: 2345832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2367 - 2365. What is the second smallest value in q, -0.12, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -4\/5 (c) 3\/10 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from rguhp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 5 + 8 + 13*q + 2*q. What is the tens digit of p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10263.882 - 10275. Is 0.1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -1534\/111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*g + 6 = 0, 0*g = -2*f - 4*g + 20. Suppose 23*n = p + 27*n - 32, -f*p + 2*n + 54 = 0. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 402 - 157. Suppose -n = -3*o + 67. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/1714, 3, 0.4 in descending order.\nAnswer: 3, 0.4, -3\/1714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**4 + 6*s**3 - 3*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -633 - 15?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Simplify 0 + -3*(((sqrt(10)\/sqrt(5) + -3 - sqrt(2))**2 - (sqrt(2) + (5*(3 + sqrt(2) + sqrt(2)))**2)) + -2*1*(-2 + sqrt(128))**2).\nAnswer: 711*sqrt(2) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 434 = 4*a + d, 3*a = -3*d + 432. Find the common denominator of (18\/(-45))\/(81\/a + -1) and 49\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(245))**2 + 5)*-1.\nAnswer: -84*sqrt(5) + 1506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/(-16) - (4 + 6)\/(-80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/50 and (-64)\/(-24)*22\/12?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -92072, 2 in ascending order.\nAnswer: -92072, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/15628 and 49\/527445?\nAnswer: 2109780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/11 - 55188*d**3\/11 + 3084256*d**2\/11 = 0. What is d?\nAnswer: 0, 56, 27538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or 0.113?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/25764)\/(((-77)\/(-42))\/11)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from czqccqzpzzqqbzpz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuullurx. What is prob of sequence ur?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 0.5, -5, -4.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 58 = 3*l, 4*t = -0*l + 3*l - 13. What is the highest common divisor of l and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = q + q + 150, -q = t + 38. Let v = -149\/4 - t. Suppose -4*z + 3*u - u + 22 = 0, z = 3*u + 8. What is the biggest value in z, -1, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 30. Let q be (1 + -5)*m - -130. Is 127 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -527, -802, -1091, -1394?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(17)*-5 + 3*sqrt(51)\/sqrt(3))*-3 - (sqrt(17) + (1*sqrt(2057) - sqrt(2057)) + -3)*5)**2*-3.\nAnswer: -726 - 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(1 - 3 + 4) - 1 + 1 - 1 + 2 - 3 + 3 - 3 + 3 + 2 + 3 + 3 - 4)*((2 + 3 - 3)*(3 - 3 - 5) - 1 - 2 + 1)*(n - 5*n + 3*n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - -2*sqrt(144))\/sqrt(8) + sqrt(18))\/(1*2*sqrt(6)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1606\/7 + -229. Let d = -0.73 + -0.17. Let z = -1 - d. Which is the closest to z? (a) -2\/9 (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 2701344?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 9, 0.23, -0.2 in descending order.\nAnswer: 9, 0.23, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10 = -2*j, -j = -3*r - 126 + 46 + 59 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 80*q**3 + 85*q**2.\nAnswer: -5*q**2*(q - 17)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -75118 (base 9) to base 11\nAnswer: -34355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.2 rounded to 0 decimal places?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 4*g + 16, -23 = g + 5*r. Let q = 22 - 13. Suppose 3*h + q = -0*h. Is g not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -95, -1.1, -2?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 27*a + 15*a + a - 2 + a.\nAnswer: 44*a + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of -8*18\/(270\/(-4425))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1191, -2379, -3563, -4743, -5919, -7091?\nAnswer: -8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 2*f = 5*w - 31, 0 = 2*f - w - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 + 12*l - 2. Suppose 5*u = 4*t - 16, -4*t + 61 = t + 4*u. Calculate the smallest common multiple of d(8) and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 2*b + 8, 2*c = -b - 1. Factor -4\/3*d**2 - 32\/3*d**3 + 0*d - 49\/3*d**5 + c - 77\/3*d**4.\nAnswer: -d**2*(d + 1)*(7*d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 10:45 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8928\/228 - (-87)\/(-551). Solve -g*i + 0*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/3*21\/9. Let d = v + 23. What is the remainder when 61 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/7*(-382)\/(-8). Let j = o + 319. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -337\/5 + 67. Let o be (-1 + -1)\/(15\/6). Let n be (-21)\/(-30) - 2\/4. What is the smallest value in o, n, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 2. Let c = -6 - -4. Let s(g) = 4*g + 2. Let l(h) = c*s(h) - 3*z(h). Let v(a) = -2*a - 1. Let b be v(2). Determine l(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603125 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2200 and 4085830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -32. What is the smallest common multiple of n and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 893.1, 3, -0.3, 1.2 in decreasing order.\nAnswer: 893.1, 3, 1.2, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34512 + 5?\nAnswer: 34520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12120179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 12. Let w = -7 - -18. What is the remainder when w is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -588295*t**2*u**2*v**2 - 2054*t**2*u**2*v + 468*u**2*v**2 - 3*u**2 - 32794*u*v wrt v?\nAnswer: -1176590*t**2*u**2 + 936*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -9 - (-71 + 76 - (-4 + 1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 798.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193 is divided by 2190.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/4 + 3\/(-2). Let b be ((-16)\/m)\/(1 + -3). Suppose 0 = 21*z - 1663 + 1600. Solve -b = -g - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18*z**2 + 5116*z + 1504. Calculate g(-284).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*h - 216. List the prime factors of -309*20\/h - (-2)\/(-6).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9322558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 1\/(-3 + 2). Suppose o + 3*o + 5*j = 5, 3 = -k*o + 3*j. Let h be (1\/55)\/(o - -1). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 652.367, -1\/10, 4 in descending order.\nAnswer: 652.367, 4, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*j**3 + 15 - 198\/7*j + 81\/7*j**2.\nAnswer: 3*(j - 1)**2*(4*j + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 - s - 5. Let q = 272 + -141. Suppose -2*z - 35 = -q. Let i be 32\/40 + z\/(-10). Determine l(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -30, -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**17)\/u**(-16) assuming u is positive.\nAnswer: u**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(52)\/((sqrt(324) - sqrt(324)*1 - sqrt(324)) + sqrt(4) - sqrt(4)).\nAnswer: -sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -267, -2, 0 in descending order.\nAnswer: 5, 3, 0, -2, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - z + 15 = 0, 0 = -43*i + 38*i + 58*z + 34 - 127 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/6198438 and -47\/678436.\nAnswer: 136365636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 - 7*r**3 - 12*r**2 - 84*r + 2637. Calculate m(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 7*t**5 + 107*t**4 - 215*t**3 - 175*t**2 + 208*t + 68 = 0.\nAnswer: -17, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85501.33 litres?\nAnswer: 85501330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -847681*s**5 - 253*s - 2118 wrt s?\nAnswer: -16953620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 0.3, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(4 + 1 + sqrt(175) + sqrt(175) + (2*(sqrt(175) - (0 + sqrt(175))) - sqrt(175) - sqrt(175)))*4 + -5)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.054 and 0.61.\nAnswer: -0.03294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-672)*-4*2*-14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -89, -76, -47, 4, 83, 196?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 165*p**4\/4 - 1263*p**3 - 44625*p**2\/4 - 16143*p + 14535 = 0.\nAnswer: -5, -3, 34\/55, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d = 94*d - 106896. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 15, 16, 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 104, 236, 422, 662, 956, 1304?\n\"Answer: 27*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 3:35 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 282581\/22 greater than or equal to 12844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 10*f**2 + 11*f + 13. List the prime factors of j(-13).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1944590 - 8\nAnswer: 1944582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -55.73438842456.\nAnswer: -55.73438842456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irriiri. What is prob of picking 2 r and 1 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 61*i**3 + 4*i**2 - 3*i + 1. Is g(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.4 (c) 7\/6 (d) -267 (e) 0 (f) 1\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*p + 5 + 4 - 9 to the form d*p + f and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 11. Let o(k) = -11*k + 31. Let w(l) = 3*o(l) - 8*z(l). Let c(q) = -q**2 - q. Let n be c(2). Is w(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 1\/8*m**4 + 0*m + 0*m**3 + 0 - 1\/40*m**6 + 1\/20*m**5 - 14*m**2 - 1\/70*m**7. Determine h, given that y(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, 29, 15, -7, -37, -75?\n\"Answer: -4*t**2 + 6*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/260 or 0.1?\nAnswer: 11\/260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 437 - 435. Suppose -4*i - 6*d + 6 = -5*d, c*d + 14 = 5*i. Solve 2*x = i*s + 16, -s - 5*x = -4 - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-30)*((-12)\/154)\/(4\/(-7)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 681771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -233?\nAnswer: -5\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*j - 155*j - 18 = 3*k, 2*j + 4*k = -48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2068 - 1791. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g - 5 = 0. Let f(c) = 2*c - 9. Let u be f(g). Is 1\/u*3820\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16526307947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-3\/4))\/z**(3\/5))**(-9\/4) assuming z is positive.\nAnswer: z**(-117\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/448 and 59\/336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - ((71 - 159) + -9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10636583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 19*d + 24. Give z(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 6*z**3 + 0*z**3)*(-29 + 28 + 56*z - 14*z)*(2 - 6 + 1).\nAnswer: -252*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o**4\/o))\/o)*o*o\/(o*o\/(o\/((o*o*o\/((o\/(o*o\/o**(2\/5)))\/o)*o*o)\/o))))\/(o**2)**(-5) assuming o is positive.\nAnswer: o**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2, -330 = -29*g + 28*g - 5*n. Calculate the highest common factor of 140 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -459*n + 21203. Calculate v(46).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 111*g**3 - 118*g**3 + 2 - 6.\nAnswer: -7*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-18)\/8)*-3. Let u(q) = -34*q**2 + 456*q + 280. Let l be u(14). Solve g - z*m + 13 = m, -3*g - 2*m - 5 = l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 8. Let i be j(-6). Let q = 165 - 161. Suppose -f - q*f = -i. Solve -f*m = -c + 11, c + 4*m = -0*c - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 32*j + 26 + 481*j)*(-1 + 1 - 3*j**2) as a*j**3 + g*j**2 + m + h*j and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 + 67 + 64 + (0 - -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362.99721 - -363. Round q to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.05783 grams to micrograms.\nAnswer: 57057830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (46 - 27)) + 0 + 1 + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25596 divided by -4?\nAnswer: 6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(((-5508)\/72)\/(-51)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972523 = -68*s + 943785. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -204. Suppose -39*n = 287 - c. Put 4, -4, 5, n in descending order.\nAnswer: 5, 4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2998867, 5997769, 8996671, 11995573, 14994475, 17993377?\nAnswer: 20992279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275 (base 14) to base 13.\nAnswer: -2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273028 and 7496.\nAnswer: 511654472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let i(v) = 6326*v**2 + v + 32. Determine f(i(r)).\nAnswer: -6326*r**2 - r - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnnmnnnnmnnn. What is prob of sequence mnnm?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*l**2 + 219*l**2 - 431*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*h**3 - 1198*h**3 + 28*h**3 + 548*h**3.\nAnswer: -1618*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357543.6 micrometers to centimeters.\nAnswer: 35.75436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 210609.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n - 2. Let k be v(-5). Let m(t) = t**2 - 2*t + 1. Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.00834 + -38. Round n to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, -263, -4 in descending order.\nAnswer: 2, -2\/9, -4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 3870, 9894, 18332, 29184, 42450, 58130?\nAnswer: 76224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/5 + -47\/15. Put -3\/2, 0, i in ascending order.\nAnswer: -3\/2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01431 - -0.014. Round i to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1979, 1, -661 in ascending order.\nAnswer: -661, -4, 1, 1979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109598, 438420, 986448, 1753676, 2740098, 3945708, 5370500?\n\"Answer: -i**3 + 109609*i**2 + 2*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 30) + (1 - 3) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4298931775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 i, and 1 c when four letters picked without replacement from imhcqchb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 - 578 + 137 + 133 - 106*q + 2*q**3 + 141.\nAnswer: 2*q**3 - 106*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 214 + 218, -5*r = 2*p - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.95566 micrograms to nanograms.\nAnswer: 8955.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -259892, -259907, -259924, -259943, -259964, -259987?\n\"Answer: -t**2 - 12*t - 259879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z**5\/3 + 1670*z**4\/3 + 35335*z**3\/3 + 10040*z**2 - 1188*z = 0. Calculate z.\nAnswer: -54, -33, -1, 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4 + (-57)\/(-3) and (0 - -2)\/((-14)\/(-2303)*-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.24 + 0.24. Let y = -65 + c. Let b = y - -115.99893. Round b to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*x = 3, 3*f - 5 = -4*x + 4. Let a(c) = -2 + 0*c**3 - 1 - 4*c**f + 2 + 2*c**2. Calculate a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:10 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221042?\nAnswer: 2, 79, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 + 206*k - 1540. Give w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 + 100 - 7*w as z*w + n and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.1. Suppose -2*q = 2*l + 2, q - 4*l + 21 = -l. Let r = -18 - -18.2. Which is the nearest to 0? (a) q (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-62 - -2)) + (-3 + -1 - -15).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 512996, 512997, 512998, 512999, 513000, 513001?\n\"Answer: h + 512995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + 0.3. Let y = 1.8 - g. Let k = y + -3.3. What is the smallest value in -2\/7, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/24)\/(1 + 14\/(-15)). What is the tens digit of 44\/110 - 358\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4. Let l be (n\/2)\/((-8)\/(-48)). Let g = 9 + -5. What is the third smallest value in l, g, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-13)\/7)\/((-4)\/7). Which is the closest to -1\/4? (a) -4 (b) h (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4182 and 15497098?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = 0, -f - 5*c + 2*c = -22. What is the greatest common divisor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77516.85 * 1.6\nAnswer: -124026.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3 + -4 - (-1 - (150 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, -109, -5 in ascending order.\nAnswer: -109, -5, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/((-60)\/355)*2\/5 and 37\/55?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55506)\/(-4002) - 3\/(-23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1141, -1385, -2051, -3349, -5489, -8681?\n\"Answer: -35*c**3 - c**2 + 4*c - 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*o = -0*g + 58760, -73436 = -5*g + o. Is 36 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 47*g - 43*g = 254218, -254282 = -5*m + 4*g. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59525575 and 3.\nAnswer: 59525578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -114250 (base 7) to base 13\nAnswer: -9574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309017 (base 14) in base 16?\nAnswer: 18ff2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2054*d**2*z**4 - d**2*z**2 + 6*z**2 - 21 wrt z.\nAnswer: -49296*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - 0.19. Let i = 0.03 - s. What is the third smallest value in 0.2, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(110)*-4 - sqrt(110) - sqrt(110)))\/((1*(sqrt(100) + sqrt(100) + sqrt(100) + (sqrt(100) - sqrt(100)*1)))\/sqrt(10)).\nAnswer: 40*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 48 = -39*r. Let f(y) = -y**3 + y**2 + y - 1. Let t(c) = -4*c**3 - c**2 + 7*c - 5. Let l(g) = r*f(g) - t(g). Suppose -2*q - 10 = -0*q. Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3)*h)\/(h\/(h**(-1\/2)\/h)))\/(h**(-2\/5)\/h**(-1\/2))*(h*((h*h**(-1\/6))\/h)\/h)\/h**(1\/3)*(h*h\/(h*h*h**1*h*h)*h)**(-40\/9) assuming h is positive.\nAnswer: h**(431\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16537, 16539, 16551, 16579, 16629, 16707, 16819, 16971?\n\"Answer: o**3 - o**2 - 2*o + 16539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -0.3, -2\/9 in increasing order.\nAnswer: -34, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(102\/(-17))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 5 = 0. Let h(f) = 0*f**2 + 9*f + 0 - t*f**2 + 2 + 7*f**2. Let m(k) = -k**2 - 5*k - 1. Calculate 6*h(i) + 11*m(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902627488.\nAnswer: 2, 17, 149, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 881122814.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -387*z + 26711. Determine u(69).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -5. Let q = h + 6. Which is the third smallest value? (a) 3 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113585 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put together 1059655312.72 and 0.136.\nAnswer: 1059655312.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20706 and 3375078?\nAnswer: 3375078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, d: 3}. Give prob of sequence bbdb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2892*g + 240 = -2876*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*x = 253*x - 9*x - 8619 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:53 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from uuuunpp.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6933 - -7054. What is the remainder when 608 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 52 = 2*v. Suppose 4*z + 140 = 4*p, -4*z + 9*z + 207 = -3*p. Let h = v - z. Calculate the greatest common divisor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 831*j + 8299. Calculate b(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 25. Let x be v(7). Is (-3)\/(x\/(16\/6)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 42. What is the smallest common multiple of g(19) and 204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -366*u**2 + 120*u**4 - 4*u - 2 + 726*u**2 - 361*u**2 + 3*u + 4 in the form j*u + a*u**3 + n*u**2 + s*u**4 + k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 10. Suppose -21 + 23 = g. Solve 7*j = g*j + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134804513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -566\/7 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016972075 to five dps.\nAnswer: 0.01697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.49637 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -204. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/276150 and 53\/500.\nAnswer: 2761500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579902 rounded to the nearest 10000?\nAnswer: 2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/3 + 9*f**2\/2 + 7091*f. Let n(u) = -207*u**2. Calculate n(k(g)).\nAnswer: -828*g**2 - 7452*g - 16767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r**2)\/(r**(-6)\/(r\/(r*r*r\/(r\/(r\/(r**(-4\/9)\/r)))))))\/((r**(-2)*r**(6\/5))\/(r\/((r*r\/(r*r**(-1)))\/r))**(-30)) assuming r is positive.\nAnswer: r**(331\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8721*-0.011.\nAnswer: -95.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0196 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543*h**2 + 904*h**2 + 732*h**2 - 2 - 3 + 3.\nAnswer: 93*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 3, n: 9, j: 5}. Give prob of sequence jc.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2056047 + 0?\nAnswer: 2056047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18318, 18278, 18220, 18144, 18050, 17938?\nAnswer: 17808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2228 and 3067399?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-12 - -35 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68604 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/24 + 7*z**3\/6 - z**2\/2 + 9*z - 19. Let g(d) be the second derivative of o(d). Determine g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12367650, -12367651, -12367652?\nAnswer: -12367653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 592.04306 - 0.46306. Round x to zero decimal places.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -19*f - 5. Let x be u(-6). Let m = 154 - x. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6214 (base 7) to base 3.\nAnswer: -2222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -152001, 90 in descending order.\nAnswer: 90, -2, -152001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 98*c - 95*c = 3971, 3*w + 2*c - 5954 = 0. Calculate the highest common factor of w and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from {u: 8, v: 4, s: 2, k: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a - 52*a - 5*q + 100 = 0, 2*a - 8*a - 9*q = -2*a - 180 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 27*o.\nAnswer: -o*(o + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0, -318?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**4 - 92*w + 177. Let u(f) = 4*f**4 - 31*f + 59. Let v(s) = 3*d(s) - 8*u(s). Find the first derivative of v(c) wrt c.\nAnswer: 4*c**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -121*k**2 + 1572*k + 18. Let i be l(13). Let g = 8.6 - 9. Let z = 0 + -1. Which is the third smallest value? (a) g (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 6, -21, -68, -141, -246, -389, -576?\n\"Answer: -u**3 - u**2 - 3*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 1 + 11*n**2 + 64*n**3 - 3*n**3 - n + 2*n - 9*n**2 to the form w*n + o*n**2 + h*n**3 + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 9*k + 47. Let g = 98 + -105. Calculate the remainder when 117 is divided by z(g).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 457 - 607. Let v = l + 150. Solve 5*q - n = -v*q - 7, n - 6 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**2 - 111 - 2*c**3 + 4*c - 1\/4*c**4. Calculate w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(45486\/(-280)) + 2\/19. Suppose 3*n = -19 + 1. Let d = 1 + n. What is the biggest value in 5, z, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13 = -h, -61*h - 3*i = -57*h - 38. Solve w + h = 5 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or 761112?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 1, g: 1, n: 2, b: 2}. What is prob of sequence bnb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-15 + (-14 - -11) - -6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let v be (-4 - -2 - -5) + -3. Let z(h) = h**3 + h**2 - h + 1. Let t be z(v). Sort t, 4, x in ascending order.\nAnswer: x, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 472\/16) + 6\/(-3) and 47\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.1 (c) 7 (d) 534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -9. Let o = h - 4. Solve k = 2*k - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*x + 3*t, 4*t = 5*x + 1906 - 1879 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 51. Let h be s(17). Let i(d) = d**2 + d + 8. Give i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let a be f(-3). Suppose -212 - 373 = -a*k. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1504 + -1335?\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 1647782*p\/11 + 8238860\/11.\nAnswer: 2*(p - 823886)*(p - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5 - 1. Suppose -g - 1 = -h. Solve -2*v + g = 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 857*g**4\/4 - 233*g**2\/2 - 1668*g. Differentiate q(y) with respect to y.\nAnswer: 5142*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 37*d**2 - d**2 + (0*d + d - 2*d)*(5*d - 6*d + 0*d) + 2*d**2 + 18*d**2 - 4*d**2.\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 219252559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16306, -32349, -48368, -64351, -80286, -96161?\n\"Answer: 2*z**3 - 16057*z - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(176)*2 + sqrt(176) - sqrt(176)))**2 + (-2 + 0 + sqrt(176))**2.\nAnswer: -16*sqrt(11) + 884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401845842 by 98347.\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 - 15 = 0. Let g(r) = -4*r + 6. Let y(m) = 3*m - 7. Let n(t) = j*y(t) - 2*g(t). Let u be n(0). What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 15*l - 9. Calculate n(4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13049?\nAnswer: 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -73, -114, -157?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 34. Suppose -12 = -3*x, x = -b*t - 3*x + 25. Solve 5*s - t - 5 = r, 5*r + 17 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/45 and 22\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -563*o**4 + 113359 - 113359 - 5*o**4 + 4*o**4 - 2*o**4 + (4 - 4 + o**3)*(0*o + 0*o + 2*o).\nAnswer: -564*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/y)**(-1\/86)\/(y**(-1)\/(y*y\/(y\/(y\/y**0))))*((y*(y*y**(-6)*y*y)\/y)\/((y**(-2\/5)\/y)\/y))\/(y\/y**(-3)*y*y*y*y\/y**(-4)*y) assuming y is positive.\nAnswer: y**(-9101\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t = 8. Suppose 4*u + 0 - t = 0. Solve -2*y = u*k + 8, 4*y + 8 = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 2. Let x be a(-6). Let v = x - -32. What is the remainder when ((-336)\/(-40))\/(v\/20) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35828.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let q(o) = -6*o**2 + 9*o + 1. Let g(m) = -q(m) - s(m). What is the second derivative of g(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(7\/6))**11)**(1\/6))**23)**4 assuming m is positive.\nAnswer: m**(3289\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794238282?\nAnswer: 2, 3, 3433, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4)*75)\/(63\/(-84)). Suppose -122 = -4*w - o. Calculate the highest common factor of w and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-2) + (-2)\/(-4). Suppose p = -4*j - 2*p + 46, -2*j - 5*p = -16. Let n = l + j. Solve 14 + 0 = -n*w - 2*i, -20 = -5*w + 5*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44437\/126 + 2424\/7. Suppose -3*s - 2*s = 1500. What is the common denominator of ((-315)\/s)\/((-24)\/10) and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -27. Suppose -1 = -r, -6*r - c = -3*j - 8*r. What is the greatest common divisor of 144 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78516420791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1428 - 1630. Let h be 2\/8 + (-62)\/(-8). Is -12*(l\/h + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -237, -324, -413, -504, -597?\n\"Answer: -w**2 - 84*w - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 9*k**2 - 11*k + 11. What is u(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 5*q**2 + 3*q + 3. Let s be k(-4). Let h(p) = 6*p - 2. Let x be h(2). Let b = x - s. Solve -2*w + 4*c = 18, -29 = 4*w - b*c - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:43 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, b: 3, p: 1}. What is prob of sequence qqbp?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-194)\/(-10))\/(340\/5100*(-24)\/8)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 25. Let w be m(8). Find the common denominator of w\/6*(-1)\/(-162)*339 and 23\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11102132232 + 2?\nAnswer: 11102132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-92)\/(-483)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*o**2 + 4497*j + 193536*o**2 wrt j.\nAnswer: o**2 + 4497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 56 = 250. Suppose x*h = 58 + 27. Solve 0 = -4*l + h*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppcp when four letters picked without replacement from pcpccp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 23. Let l = t + -4.2. Which is the closest to 0? (a) l (b) 2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 35*m + 1. Let n be h(0). Which is the smallest value? (a) -3\/8 (b) n (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -672, -1020, -1376, -1740?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -243.1625 to 1 dp.\nAnswer: -243.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*j + 69*j + 75 = 137*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1698551\/740 or -2295?\nAnswer: -2295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -10, 3, 14 in decreasing order.\nAnswer: 14, 3, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -17*q**2 + 88*q - 1960. Let r(x) = -2*x**2 - 3. Let y(j) = -3*o(j) + 24*r(j). Determine b so that y(b) = 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299\/(-13)*-7*3\/(-21).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805622701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/58167 and 61\/3?\nAnswer: 58167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1446.38 + 34.38. Let a = -1414 - w. Let s = -7\/20 - 3\/20. What is the fourth biggest value in s, 10, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 8*y - 11*y + 26 = 0, -11*s + 6*y - 157 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**9\/1890 - p**7\/2520 + 7*p**4\/12 + p. Let h(b) be the third derivative of l(b). Find the third derivative of h(a) wrt a.\nAnswer: 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/360 - m**5\/24 + m**4\/4 + 5*m**3\/2 + 17*m**2. Let x(b) be the first derivative of z(b). What is x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -5*t - 19. Let g = t - 24. Factor 0*h**2 + 0*h**3 - 2\/11*h**g + 0*h + 0.\nAnswer: -2*h**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224.6 - 225. Which is the biggest value? (a) -1 (b) 4 (c) w (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q. Suppose q = 3*i - 3. Let m = i - -3. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -21*875\/(-63)*-3. Let a = c - -1552. What is the least common multiple of a and 3?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103.8 times -161\nAnswer: 16711.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:29 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33609069 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/7, -20 in decreasing order.\nAnswer: 0.1, -3\/7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -276, -327, -412, -537, -708?\n\"Answer: -y**3 - 11*y**2 - 11*y - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 16*t - 1. Let g be x(-11). Let h = 124 - g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r. Let s be h(2). Let o be s\/(-70) - (-24)\/10. Find the first derivative of -8*g**2 + 8*g**o + 2*g**4 + 7*g + 46 - 3*g wrt g.\nAnswer: 8*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -2*o**5\/5 + o**4\/2 - o**3\/4 + 17*o**2. Factor x(t).\nAnswer: -3*(4*t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 6*b. Suppose 0 = -6*o + 13*o - 273686. Let i(m) = 39098 - o + 77*m - 5*m**2 - 61*m**2. Give -6*i(l) - 77*k(l).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - 0 - (6 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 2413, 10, 18 in increasing order.\nAnswer: 1, 2, 10, 18, 2413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 27839000 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 179419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 248, 499, 872, 1379, 2032, 2843, 3824?\nAnswer: 4987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-7)*(-8799)\/18. Let y = -69 + u. Let q = -11 - -8. Sort q, y, -4 in decreasing order.\nAnswer: y, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 2361853.\nAnswer: 11\/2361853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15367321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 36*s**2 + 100*s - 166. What are the prime factors of i(29)?\nAnswer: 2, 5, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -649.7 + 650. Which is the nearest to -1\/2? (a) -15 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 276.9135l?\nAnswer: 276913.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 445 and 14062?\nAnswer: 70310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242232 (base 5) in base 2?\nAnswer: 1001110101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455011, 455010, 455009, 455008, 455007, 455006?\nAnswer: 455005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:18 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + 28. Let y be ((-14)\/(-8) - 0) + 22\/q. Suppose 5*r = -5*s + 615, 0 = -s - y*s - 5*r + 373. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1036, 2065, 3094?\n\"Answer: 1029*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3047 - -2271?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -670 + 667 + b + 2*b. Let k be a(-19). Let u = k + 68. Solve -3*c - u = -5*s, 0*c - 6 = 3*c - 3*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*x + 24*x + 2 + 304*x**3 - 3 + 0 + 28*x wrt x.\nAnswer: 1824*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 4*d - 2*w, -155 = -3*d - 6*w + w. Let i = -50 + d. Suppose i = -5*l + 6*l - 3. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 7*m**3 - 25*m**3 - 117*m**2.\nAnswer: -23*m**3 - 117*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 5*q + 3*s - 25199 = 0, -2*s = -5*q + 25184. Suppose 6*k + 1024 = q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 5 (c) 1.2 (d) -78 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35404 - 35403. Let d(b) be the second derivative of 4*b + 17\/66*b**4 + 3\/110*b**5 - i + 0*b**2 - 2\/11*b**3. Suppose d(r) = 0. Calculate r.\nAnswer: -6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 11. Let q be j(7). Let o be (-87)\/54*q\/42. Let c = o + 5\/14. Are c and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 4 + 1*(sqrt(704)*4 + 0).\nAnswer: 11 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5)*6\/9. Let u be (-3)\/(2\/(8\/(-78))). Let x = -4 - -3. Which is the nearest to x? (a) y (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u**(-3\/7)*u)**50*(u*u**8\/u*u\/(u\/(u\/(u*(u*u**(4\/5)\/u)\/u*u))*u*u))**(-39) assuming u is positive.\nAnswer: u**(-6448\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*g + 112 = 0, -97*g + 95*g = -x + 28. Solve 23*y + x*y = -255 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 89.5 (b) 4 (c) 6\/11 (d) 2 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = -2*s + w, -5*s = 3*w + 12. Put 2, s, -3 in descending order.\nAnswer: 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121758)\/(-672))\/223*1\/(-13).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**5\/5 - 31*t**3\/3 - 175*t**2\/2 + 690. Find the second derivative of h(y) wrt y.\nAnswer: -12*y**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/6*(-4)\/(48\/4)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-3)\/(144\/8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 691 - 393. Suppose 3*p - 2*p = -5*s + w, 3*s = p + 174. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(68) + 3 + sqrt(1377)*1 + sqrt(17))**2).\nAnswer: 72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*-4*(sqrt(1300) + 4) + -1)*-3)**2.\nAnswer: 10260000*sqrt(13) + 170510625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 235660, 4, 54 in increasing order.\nAnswer: 4, 54, 235660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907380?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = 6. Let v(t) = -t**3 + 10*t**2 + 2. Let s be v(q). Suppose -5*z = 5*i - 150, -2*z + 60 = -i - s*i. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-396)\/(-102) + 2\/17. Suppose -3*z + 13 = m. Suppose -4*r + 4*g = -44, z*g - 53 = -3*r + 2*g. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6*r*r)\/r*r**2)\/(r\/r**(-3)*r*((r\/r**(-1\/2))\/r)\/r*r)*(r**(-1))**(-27)\/(r**(-5)*(r**(2\/9)*r*r)\/r) assuming r is positive.\nAnswer: r**(635\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 29 - 11. Solve 4*b - t - 1 = -2*t, -4*b = 4*t - c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.13. Let i = 23\/10 - 3\/2. What is the biggest value in 0, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 252 = 236, 5*j = r + 19. Solve -6 = -5*l + l - 2*v, j*v = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Let k = 7 + i. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 33. Let a = -3 + 3.5. Sort -1, a, b in increasing order.\nAnswer: -1, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.09437*-0.2\nAnswer: 0.018874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250\/(-8500) - 2757\/(-102)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*s**3*v - 14*s**2*v + 4*s*v wrt s?\nAnswer: 1536*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 370?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3007 + 1930. Let g = p - -1061.11. Round g to 1 decimal place.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.512 + -17.\nAnswer: -16.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(9 + 134) - (7581\/22113 + (-4)\/9)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011111110 - 10?\nAnswer: -1100100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3186)\/6195*(-16)\/(576\/(-63))?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*q**3 + 383053*q**2 - 28197881?\nAnswer: -48*q**2 + 766106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 84. Give p(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 3*q**2 + 3*q - 5. Let o be s(2). Suppose 2*j - 375 = -o*t, 2*t + j - 129 = -4*j. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 5*d + 6779. Let a be (52\/65 - 9\/5)*0. Is x(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1166)\/((6\/(-8))\/(72\/(-128)*-2)). Which is smaller: 1752 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 3*r**2 - 3*r**2 + (0*r**4 + 2*r**4 - 4*r**4)*(2*r + 0*r + 0*r) - r**5 + 0*r**5 + 1 + 2*r**5.\nAnswer: -6*r**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 4. Let a = 5 + -5. What is the remainder when 10 is divided by f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -27*w**5\/5 - 7*w**2 - 18. What is the second derivative of p(a) wrt a?\nAnswer: -324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 55 + 35 - 67)*(-1 - 2 + 4) to k + m*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*w - 19, -4*w = -3*s + 4*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*r**2 - 2200*r**2 + 716*r**2 + 710*r**2.\nAnswer: -62*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -46*h - 2637. Let i be t(-56). What is the closest to 0.2 in 2, 0.3, i, 2.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -151*w - 7955. Give c(-57).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put -2305, 915, -15 in descending order.\nAnswer: 915, -15, -2305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - -2) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**4 + 2 - 2 + (n**4 + 2*n**4 - n**4)*(-1 + 4 - 1) - 119*n + 122*n + 3*n**4 - n**4 as g*n**3 + l*n + a*n**2 + p*n**4 + y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -4)\/((-1)\/382). Let m = a - 5676\/5. What is the common denominator of -1\/5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**3\/3 + o - 19. Let l be (-6)\/15 + 6\/15. Calculate z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -429 + 43 - 369 - 2*h**4 + 120*h**4 - 3*h - 48 wrt h.\nAnswer: 472*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*b - 10323 = 47315 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g + 3 - 5 - 2*g. Let x(t) = t + 1. Let s be x(1). Suppose 0 = -3*r + l - 18, s*r + l + 2 = -10. Let z(j) = j. Determine r*z(c) + y(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -154, -169, -184?\n\"Answer: -15*a - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/15 + (-6)\/(-15). Let g be 144\/(-2)*(1 + (-4)\/8). Let p be (2\/(-6))\/(4\/g). Solve -4*o - 11 = r*k - 2, 9 = -p*k - 3*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 35. Let t be h(-24). Calculate the greatest common factor of t and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.439, -4\/55, 2\/5, -4, 5\/3?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 1 - 4*x - 3*x + x**2 + 6*x. What is the remainder when 31 is divided by a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z + 4*z)*(6 + 1 + 1)*(3*z + 3*z - 5*z) to the form v*z + k + c*z**2 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/142054 and -3\/11740?\nAnswer: 1420540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272 divided by -67?\nAnswer: -6272\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/3)\/(18\/27). Let l be -3*((-20)\/12)\/5. Let i(n) = -l + 8*n - 8*n**2 - 10 + 6 + n**3 + w. Determine i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-14)\/(-14)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t - 4. Suppose -3*c - 3 = 3*m, 4*m = m - 4*c - 7. Suppose -4*g = m*j + 8, -2*g + 5*j = g + 35. Give x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**2)**13)**(-9\/4))**(-49) assuming o is positive.\nAnswer: o**(5733\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61312, 122610, 183908?\n\"Answer: 61298*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10279 by 5.\nAnswer: -10279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7291.044*0.2\nAnswer: -1458.2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 30*j**2. Let k(o) be the second derivative of o**6\/240 + 11*o**4\/2 + 53*o. Let l(z) be the third derivative of k(z). Determine t(l(f)).\nAnswer: 270*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/4 in -2, 4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3 - 17. Find the second derivative of -z**3 + 3*z**i - 2*z**3 - 4*z + 3*z**3 wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 5513.\nAnswer: 35\/5513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1189, -1165, -1107, -997, -817, -549?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 1644*p - 279.\nAnswer: -1644*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 61993 times 4\nAnswer: 247972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 15) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let n be (a + 0)*(2 + -1). Let z = 8 + -8. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/10 - 431\/(-5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 29 - 8 = -5*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1038*f**4 + 6*f**2 + 6*f + 359. Let m(s) = -2075*s**4 + 11*s**2 + 11*s + 717. Let u(q) = -11*k(q) + 6*m(q). Differentiate u(a) wrt a.\nAnswer: -4128*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = i - 4*u, -3*i = 432*u - 428*u + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17016405 to the nearest integer?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t + 356. Determine j(54).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2. Let o(p) = -112636033*p. What is r(o(w))?\nAnswer: 63434379649885445*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(170)\/(sqrt(160) + sqrt(10)) + sqrt(17)) - sqrt(17) - (sqrt(153) + sqrt(153) + 2*sqrt(153))\/sqrt(9).\nAnswer: -26*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 8, 9.6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 126*l**2 + 307*l - 22704. Give j(127).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 50*f**2 + 0 + 2\/3*f**7 + 0*f + 0*f**4 + 0*f**5 + 0*f**6 + 40\/3*f**3. Differentiate v(h) wrt h.\nAnswer: 560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181871\/39 - -4664. What is the common denominator of (9\/54)\/(18\/(-1494)) and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 + 45*n = 0. What is n?\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88576 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 12*n - 5. Is x(10) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(14\/4 + 1). Let a be 2\/(-6) - (-123)\/t. Is 3 a factor of (-108)\/a + (-6)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162809 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -10*y - 8. Let m = 15 + -11. Solve m*j - w + 2 = 2*w, -5*w + y = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, h: 1}. What is prob of sequence hu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(19)*-3.\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3619 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-55))\/(8*(-9)\/1260).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11239.79 + 11241. Sort i, -2, 2, 6\/7 in increasing order.\nAnswer: -2, 6\/7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 107 = 127, -4*n + 38596 = 5*p. List the prime factors of n.\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 13*i**2 - 22*i + 3. Let t be s(-11). Calculate the greatest common factor of 57 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1)\/(-1) + (7 - 8). Suppose -5*z + 31 - 11 = 5*c, w*z - 11 = c. Solve -5*d + 5 = -z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05403 less than -6467531?\nAnswer: -6467531.05403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25105140, 50210251, 75315362, 100420473?\n\"Answer: 25105111*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 470, 1022, 1594, 2186?\n\"Answer: 10*q**2 + 522*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -39348029.\nAnswer: 27543620.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*t - 13. Suppose -3*h - 21 = -n, t*h = -n - 14 - 7. What is the common denominator of 81\/8 and (-793)\/36 + h\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - -1*sqrt(60) - sqrt(60))*1)\/sqrt(12) + sqrt(60)\/((2*sqrt(72))\/sqrt(6)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j. Let i(w) = 12*w**2 - 4*w + 5. Let t(a) = i(a) - 4*p(a). Calculate the remainder when 639\/6*(-2)\/(-3) is divided by t(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75569 + -16603. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 673, 1318, 1929, 2488, 2977, 3378, 3673?\nAnswer: 3844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*a*a**(3\/16))\/(a**(1\/3)*a\/(a\/a**(-2\/25))) assuming a is positive.\nAnswer: a**(-10879\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)\/z*z)**(-38)*z*z**(-32)*z*(z\/(z\/((z*z*z\/(z*z*(z\/z**(-1\/43))\/z))\/z*z))*z*z)\/z assuming z is positive.\nAnswer: z**(-7659\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 704 + 22*f**2 - 702 - 77*f**2 - 53*f.\nAnswer: -(f + 1)*(55*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - 5*h - 1. Let r(p) = -p - 1 - 8*p**2 - 3*p - 2*p. Suppose 0 = 3*u + 2*u - 100. Suppose 0 = -d - 3*d - u. What is d*r(j) + 6*n(j)?\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0.1, 0.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225099?\nAnswer: 1225099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 16 + -37 - (26 + -37)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by 516?\nAnswer: -95\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, 2*h = 5*c + h - 10. Find the common denominator of c\/(-3) - (-2358)\/108 and -65\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822743 is divided by 586?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7728888 is divided by 702626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1424 and 2403.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-3))\/(3\/12). Suppose -51 = 4*o - 235. Is 5 a factor of j\/(-40) - o\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19\/68 - 1\/34. Suppose -3*q = -5 + 38. Let t = 10 + q. Is c < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -12, 32, 29, -8\/5, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bij when three letters picked without replacement from bfftitftitfjtibffj?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 1605*r**2 + 9415*r + 11025.\nAnswer: 5*(r - 315)*(r - 7)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413784 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 19*f + 45651 = -21*f, 18264 = 2*x - 2*f. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -a + 2*a. What are the prime factors of a?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 20*w**4\/7 + 1919912*w**3\/7 + 22268412*w**2\/7 + 11901928*w\/7 - 1206656 = 0.\nAnswer: -95984, -11, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - f + 3 = 0, -f + 3*f + 207 = 197 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and (54\/(-90))\/((-2)\/40)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 361\/95 + (-2 - 1)\/(-15). Let i(n) = -n - 4. Calculate i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/6 - 3076880*i\/3 + 946719053440\/3.\nAnswer: 5*(i - 615376)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18867943 + 2?\nAnswer: -18867941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p - 15*p + 3*p)*(-4*p + p + 0*p)*(-5*p + 0 + 1 + 3*p)*(-1 + 6 - 4) to the form y + q*p + d*p**3 + t*p**2 and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 2, g: 2, j: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**2\/2 - 8*s - 14. Let u be g(-11). Determine j so that -2\/3*j**4 + 0*j**u + 0*j - 2\/3 + 4\/3*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45683167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-320)\/35 + 4)\/(6\/(-21)). Does 4 divide (1 - a\/12) + 134\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a06a91 + -6?\nAnswer: -2a06a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/19281 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 4*p**2 + p - 1. Determine b(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -314.97 to 1 dp.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.55 + -1999.45. Let w = -2032.0002527 - r. Round w to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + a + 31 = 0, -3*g + 4*a = g + 56. Let s be (-4)\/6 - 55\/g. Suppose -s*u - u = -60. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 2.3. Let u = -1.4 + 0.7. Let x = u + -0.3. Which is the third smallest value? (a) -0.4 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -5*y**4\/12 - y**2\/2 - 9*y - 5. Let t(b) be the first derivative of q(b). Differentiate t(j) with respect to j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 2*l**2 + 4*l**2 - 2.\nAnswer: 2*l**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65688 - 0?\nAnswer: -65688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (21 - (1 - -7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6817760501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/150 + g**4\/24 - g**3\/15 + 2*g**2. Factor r(p).\nAnswer: -(p - 2)*(2*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19561.637155 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**4\/7 - 288*a**3\/7 + 900*a**2\/7 - 912*a\/7 + 306\/7.\nAnswer: -6*(a - 1)**3*(a + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(-552)\/(-4140).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*o = 43*o + 1333 - 317 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (6 + -4 - -25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*m + m + 139 = 0, -5*m - 155 = -5*h. Suppose z - h = -3*z. Solve 0 = o - 4*b + 7, 5*o - 4*b = 4 + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 + 2. Let k(t) = -59157*t**2 + 0 + 3 + 59163*t**2. Determine 7*i(g) - 5*k(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 4 + (2 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26510704 by 58652.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 165 = 3*z. Suppose 2*t - 2*b + 19 = t, -b - 48 = 2*t. Let l = z + t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.132244, -79\/4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 6*y - 3. Let d be q(-6). Does d = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1573 * -527.\nAnswer: -828971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 1297 = 1411 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 2\/7, 0.3, -2\/11, -0.17?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-146 - -168) + (4 - 18)) - 50.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) 11\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 4*b**3 - 4*b**3 + (-2*b + 2*b - 2*b)*(3 + 6*b**2 - 3).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74875, -74811, -74695, -74515, -74259, -73915?\n\"Answer: 2*u**3 + 14*u**2 + 8*u - 74899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -18 - 20) + (-54 - -3).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.877 - -22.877. What is the nearest to -2\/3 in l, 0.2, 8.7, 16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2148 and -89\/48.\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4596, -4597, -4598, -4599?\n\"Answer: -n - 4595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*q - 60 = 110, 160 = -5*l - 3*q. Which is bigger: l or -32?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {r: 2, x: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27829 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*p + 17 = -99, 3*n + 154 = -4*p. Let k = -52 - n. Solve 1\/4*w + 1\/4*w**k + 0 = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -3, 0.5, 3\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*q**3 + 3*q**4 + 63*q**3 + (-16 - q - 4*q**2 + 16)*(q**2 + q**2 - 3*q**2).\nAnswer: 7*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8772902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n - 4*n)*(-2 + 2 - 3).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1361025009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 + 12*t - 11. What is the tens digit of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-7)*-4 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 7 + 7)*((-2*y - 3 + 3)*(-1 + 2 - 6)*(-4 + 1 + 2) + (2*y - 5*y - 2*y)*(-4 + 4 + 2)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, -0.378, -4.\nAnswer: -4, -0.378, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 3:38 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 4*h. Let l be r(-4). What is the nearest to -1 in 1\/5, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4915 + -5360.\nAnswer: -5361.4915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5331.517ml in litres?\nAnswer: 5.331517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 8*w**2 - 18*w + 22. Let t be k(-10). Suppose -4*d + 5*q + 1913 = -819, -t*d - 4*q = -1392. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2855552 and 4480.\nAnswer: 14277760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6819 - 6818.1. Which is the closest to 1? (a) 52\/5 (b) 0.1 (c) -0.1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (3 - 27\/3). Let u = 19 - c. Let p(x) = 7*x + 80. Let q be p(-10). Is q at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahzdll. What is prob of picking 2 l, 1 a, and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 432*s**3 + 14608*s**2 + 158976*s + 541696 = 0 for s.\nAnswer: -46, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1.2. Let m = -0.2 - j. Which is the third smallest value? (a) m (b) 2\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 29084*w**2 + 1226820*w + 12900132.\nAnswer: -4*(w - 7313)*(w + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 224 times 1602341\nAnswer: 358924384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k + 4*k + (-2 + 2 - 1)*(0 + 0 + k) + 6*k - 3*k + 2*k)*(-1 + 1 + 1) + 2*k - k - 2*k as u*k + d and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6263 by -106.\nAnswer: -6263\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + -192. Let -17*d**4 - 3*d**2 + 26*d**a - 12*d**4 + 21*d**3 - 15*d**2 = 0. What is d?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(882) + sqrt(882) + sqrt(882) + 3*sqrt(882))\/(sqrt(96)\/sqrt(4)).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3327 - 3287. Calculate the lowest common multiple of 165 and y.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -0.4, 5 in descending order.\nAnswer: 5, 6\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 91*y - 14. Let f = -284 + 286. Does 8 divide p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111001010100 (base 2) to base 14.\nAnswer: -1c9da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9829, 2\/11, 1\/2, 3, -1\/10?\nAnswer: 2\/9829","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16352504, -32705011, -49057518, -65410025, -81762532, -98115039?\n\"Answer: -16352507*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.023 + 1.023. What is the closest to x in -3, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8738, -8483, -8228, -7973?\n\"Answer: 255*q - 8993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 156016*x**2 - 24327257040*x + 4286431353600.\nAnswer: -(x - 176)*(x + 312120)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let y be s(4). Let r(u) = 3*u**3 - 3 + 0*u + u + 4*u**2 - 2*u**3. Let m be r(y). Solve 4*d + 24 = -4*l, 0 = -l + m*d - 4 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 262\/9 (b) 0.3 (c) -0.8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 - 60*n**2 - 44*n + 71. Calculate the least common multiple of z(16) and 253.\nAnswer: 4301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 6*f - 13. Let i(z) = -2*z - 6. Let a be i(-6). Suppose 66 = -5*w - a*w. What is the hundreds digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0 + 9*x + x**2 - 7\/6*x**3. Differentiate z(v) with respect to v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2. Suppose 5*l = 2*x + 7, -3*l - 23 = -4*l - 5*x. Let g(q) be the second derivative of 0 - 1\/6*q**l + 0*q**2 + 3*q. Determine g(u(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/2)\/(4 + -2). Suppose -4*s + 3*s = -2*r - 6, s + 4*r - 6 = t. Solve 0 = 3*d + 3 + s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 120 = -3*u, 2*n = 5*u + 58 - 230. Solve -273*v - u = -264*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -28078*d + 25. Determine u(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/9537?\nAnswer: 1\/9537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 4*n - 8, -121*s + 8 = -118*s + 4*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:08 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.036? (a) -2 (b) 0 (c) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:51 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7206 is divided by 242?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/62315 and 41\/44?\nAnswer: 249260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/9 (b) 41.71 (c) 5 (d) -2 (e) -0.3 (f) -0.2 (g) -208\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (114\/6 - 4)*(-13)\/13. Which is the nearest to -1\/8? (a) -1\/4 (b) -5 (c) 1\/5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - -338. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-14 - -6 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 + 51*l**3 + 88*l**2 - 261*l + 126 = 0.\nAnswer: -3, 3\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000107751 rounded to 6 dps?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/48981 and -23\/348?\nAnswer: 195924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 - 7*n - 6. Let m(u) = 6*u**2 + 10*u + 8. Let x(b) = 7*d(b) + 5*m(b). Give x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*w = 347*w + 252 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let s be (-4)\/(-6) + 1\/3. Let f(j) = 21*j. Let c be f(s). Calculate the highest common factor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324\/7 + 32\/7*g**3 + 208\/7*g**2 + 450\/7*g.\nAnswer: 2*(g + 2)*(4*g + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*i - 20. What is the smallest common multiple of i and 31\/5 + (-8)\/40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 12. Let s(t) = 5*t - 12. Let d(q) = 6*j(q) + 5*s(q). Does 23 divide d(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-15))\/(112\/96))\/((-10)\/28).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 75833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-54)*74*618\/(-412). Let b(p) be the second derivative of n*p**3 + 0 - 18*p**2 + 30*p. What is the derivative of b(t) wrt t?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/12401410 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((2\/4)\/1). Solve g = b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 0) + (-42 + 93 - 68).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248*k**3*u - 32*k**3 + k**2 - 7*k*u + k - 32*u wrt k.\nAnswer: 1488*u - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1067 + 1071 - 456 + 3016)*(0 + 0 + i).\nAnswer: 4698*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**3 - 5*n. Let j(g) be the first derivative of -13*g**4\/4 - 9*g**2\/2 + 43. Determine 6*j(w) - 11*r(w).\nAnswer: -w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8772379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:31 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f - 6. Let b(k) = 5*k + 7. Let u(i) = 5*b(i) + 6*s(i). Is u(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r - 20. Suppose 5*l - 3*i + 0*i - 29 = 0, 5*l - 2*i = 26. Let j be k(l). Solve -5*p + 2 - 7 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**10\/1680 + m**6\/72 - m**3 + 3. Let l(c) be the third derivative of r(c). What is the third derivative of l(h) wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**2 + 21*x**2 + 7*x**2 + 8*x**2 + 18*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028605?\nAnswer: 5, 205721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47113.\nAnswer: 11, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + -5 + (-6*(sqrt(5) - (0 + sqrt(5) + sqrt(5)) - sqrt(5)) + -4 + (sqrt(5) - sqrt(80)) - (-4 + sqrt(180)*1)))**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 12:29 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*j - 115 = 4*j, j + 466 = 4*o. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 22. Let n be z(11). Let f(m) = m**2 - m + 88. Let y be f(0). Calculate the greatest common factor of y and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = d, -4*d - 6 = -y + 2*y. Let m(h) = h**3 - h**2. Let b(j) = 6*j + 0*j - 2*j**2 - 6*j. Let w be 2*2\/(-4)*-1. What is d*m(p) + w*b(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19\/9, -18, 84894?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44516 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90.3 and 18.\nAnswer: 108.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 10*g**2 + 10*g - 30. What is l(-9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1009, 1003, 997, 991, 985?\n\"Answer: -6*v + 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/12 + 5*t**2. Let r = 47 - 45. Let d(y) = 1 + 4*y**2 + 5*y**r - 1. Give m(d(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/15*(-5 - -2). Let m be 1 + -1 - (z\/5 + -9). Let i be m\/(105\/78) - 1\/5. Solve 3*j = 1 + i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + 2*sqrt(208) - (sqrt(208) - (4 + sqrt(208)*2))) + 5 + -4)**2.\nAnswer: 288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*(5\/20)\/(8\/4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 c when four letters picked without replacement from {c: 3, m: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -810 + 826. What is the highest common divisor of n and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 8\/107, -2\/35 in increasing order.\nAnswer: -2\/35, 8\/107, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100169696 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 399\/198 - -1. Let b = 9\/11 - c. What is the second biggest value in -0.5, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72384 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(196)*-3)\/sqrt(7) + 6*sqrt(84)\/sqrt(3))\/(5*sqrt(24)\/sqrt(6) + (sqrt(308)\/sqrt(7))\/sqrt(11)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w**2 - 38 + 4*w + 37*w**2 - 45 + 126 - 40 in the form j*w**2 + k + q*w and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42432 or 254597\/6?\nAnswer: 42432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - s + 18 = -n, n - 594 = 2*s - 650 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -518805*d + 518805*d + 20624*d**2 as p*d**2 + i*d + o and give p.\nAnswer: 20624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.45 + -1.04. Let j = -62.09 - r. What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = 5*b, -b + 32 = -4*o - 5*b. Let y be -1*o*(-1)\/(-2). Calculate the remainder when y\/5*(28 + -3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11205538.\nAnswer: 2, 5602769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(12)\/sqrt(3))*-1 + 5 + (0 + sqrt(108) - (4 + (sqrt(3)*-2)**2)) + 3 + 0 + 3.\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 20 = 0. Let v = 522 - 396. Suppose q*s - v = -5*s. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) 0.5 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 127602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16586 + -3?\nAnswer: -16589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (42 + (79 - 85))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49728416 to the power of 1\/2, to the nearest integer?\nAnswer: 7052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + j**2 - 13*j**3 + 26 - 11 - 4 - 11.\nAnswer: -13*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -7. Suppose 0*u + s = u - 13, -1 = -u - a*s. What is the remainder when 21 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d + 43*d**2 - 5*d + 11*d**2 - 2*d as v + n*d**2 + s*d and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 - -13.29. Let w = 13.3 - k. Which is the biggest value? (a) w (b) -0.3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + -181. Let y = -30 - 26. Let c = y + u. Sort c, 2, -3.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -5. Put 3\/7, 0.3, o in ascending order.\nAnswer: o, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r. Let t(p) be the third derivative of -4*p**5\/15 - 5*p**4\/24 + 18*p**2 - 54. Calculate 5*o(i) - t(i).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1744180\/13 - 20380748968\/151905. Let u = i - -2\/95. Is u equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 - 9224*u**4 - 260624*u**3 - 1829856*u**2.\nAnswer: 4*u**2*(u - 2334)*(u + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -763453364401411 + 763453403694680.1999993. Let w = p - 39293272. Let t = -2.8 - w. Round t to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13799*u**3 - 4*u - 389 wrt u?\nAnswer: 82794*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 378398860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85057997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61009\/828 - 1726\/23. Calculate the common denominator of f and 149\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 249*o - 7831. Determine g(-93).\nAnswer: 6677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7247*u**2 + 1 + 4*u**3 + 7294*u**2 - 2 to b*u**2 + f + o*u + p*u**3 and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 89*n**3 + 4*n - 9. Let a(o) = -45*o**3 - 2*o + 4. What is -9*a(j) - 4*p(j)?\nAnswer: 49*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 30*j + 25. Let h be (3 + -1)*(-39)\/(-26)*-5. Let x be d(h). Suppose -4*t + 79 = -5*v - 7*t, -4*t = -v - x. Which is bigger: -19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13366500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*k**3 - 64729*k - 64671*k - 64724*k + 194124*k.\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855 - 839 = 336*y + 1002 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 0.02, 2\/17, 2\/11, -65.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/3)\/((-66)\/99). Suppose -27440 = -n*d + 13*d. Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 - 50*m**4 + 804*m**3 - 4762*m**2 + 7307*m - 3300 = 0.\nAnswer: 1, 11, 12, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 86.89788cm?\nAnswer: 0.0008689788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -83. Suppose 5*t = -2*c - 285, 79 = -h*t + 5*c - 123. Let w = t + 63. Solve 1 - w = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4 - 7. Let g = -11 + 8. Let y = -23 + 28. Sort g, r, y in decreasing order.\nAnswer: y, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/40 and 119\/270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10170, -9, 5.\nAnswer: -9, 5, 10170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -298387, -298380, -298373, -298366, -298359, -298352?\n\"Answer: 7*l - 298394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 603680 and 30184.\nAnswer: 603680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 56?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323952?\nAnswer: 2, 3, 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 7*s - 1. Let k(j) = 5*j**2 - 22*j - 4. Let m(a) = -3*k(a) + 8*r(a). Let v be m(-10). Find the common denominator of 67\/4 and v + 87\/30 - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 5*a - 11. Let j be g(11). Suppose 0 = 5*s - 120 - j. Factor -93 + 12 - s*m**3 + 32*m**3 - 81*m - 27*m**2.\nAnswer: -3*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f - 56 = -3*w, 4*w - 40 = -2*f. Let z = 13 - -5. Let g = 40 - z. What is the remainder when g is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029350798455 to 6 dps.\nAnswer: -0.029351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 52*h - 5 = 0. Suppose -2*b + 7*b = -t + 35, 4*b - 133 = -h*t. Solve 0 = -7*a + 2*a - t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 610 and 8155760?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**2 - 186*q - 9. Let b be p(8). Is b at least as big as -923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-9 - (3 - 5) - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 709 and -392.\nAnswer: -277928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 - 58*h + 26. Determine l(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*t**2 - 2*t + 74 wrt t.\nAnswer: 102*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -83 - 88) + 34.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 5, -1\/2, 4, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-95))\/(4\/280*-4)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/12992 and -111\/290.\nAnswer: 64960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8110713?\nAnswer: 3, 13, 207967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 8*c**2 + 58*c - 323. What is g(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 13. Let d be b(-7). Let c(u) = -5*u - 3. Let k be c(d). What is the remainder when (-263)\/k - (-21)\/168 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 176.41 to the nearest integer.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 3*s - 6. Let t be a(-5). Let g(w) = -3 - 2*w + w - t + 6. Let h(r) = -1. What is -2*g(l) + 3*h(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.2 + -8.1. What is y rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3108564 and 35\/1926.\nAnswer: 3108564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 372, 4\/53.\nAnswer: 4\/53, 0.8, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*h + 459, h - 3*k - 198 + 49 = 0. List the prime factors of h.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847277 is divided by 115453.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-4)*(-2)\/(-1). What is the greatest common factor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g - 36 = -27*g. Let u be 8\/((6\/4)\/(g\/(-4))). Solve 5*t = p - 0*p - 16, u*t - p + 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 3*t**2 - 3*t. Suppose 3*z - 46 = 5*s, 0 = -5*z + 4*z + 2. Let j(o) = o**3 + 7*o**2 - 8*o + 2. Let d be j(s). Determine k(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 69. Give j(-44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**6\/120 + s**5\/12 + s**4\/4 - 35*s**3\/6 + s**2 + 35*s. Let g be k(4). Solve -2 = 2*n - x, 0*n - g*x + 15 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28972b7 (base 12) to base 7.\nAnswer: -126242152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2788*d + 5 = 5*z + 2793*d, 4*d - 5 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 876685 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1302*r**3 + 6*r**2. Let h(o) = 1304*o**3 + 4*o**2. Determine 3*h(d) - 2*j(d).\nAnswer: 1308*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-224)\/(-22) - 10\/55. Let v = u - 7. Suppose v*p = 3*b - 18 + 6, p + 2 = 2*b. Let w(i) = -i. Calculate w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w + 1\/2*w**3 - w**2 + 0 + 1\/4*w**4. Calculate k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 64*t**2 + 627*t + 181. Calculate a(-52).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n + 0*n)*(6*n**4 - 4*n**4 - 4*n**4) - n**5 - 4*n**5 + 3*n**5 + n + n**5 - n + 162*n**2 - 80*n**2 - 84*n**2 + 105*n**5.\nAnswer: 100*n**5 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 3*r + 7*r**4 - 17 - r + 69 - 42 - 8*r**2 as b*r**2 + m*r**4 + n + v*r**3 + x*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:06 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*n + 18. Suppose -v + 16 = n*v. Suppose -4*c - 7 = -3*c + v*g, -5*c - 3*g = -50. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14208, -14205, -14202, -14199, -14196?\nAnswer: -14193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 0)*(-16 + 7 + 2*h + 10) - 3*h + 2*h + 0*h to the form w + q*h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/5 - 48*o**3\/5 - 261*o**2\/5 - 212*o\/5.\nAnswer: o*(o - 53)*(o + 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137650 divided by -18.\nAnswer: 68825\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042 = -140*n + 3336 + 2062 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*(r**(2\/27)*r)\/r)\/(r*r*r**(-2\/27)*r*r*r**(1\/10)) assuming r is positive.\nAnswer: r**(-3767\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 537 and 49029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**2*g)\/(g\/g**(-1\/2)))\/(g**(-1))**8)**(-44) assuming g is positive.\nAnswer: g**(-418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.16, 3\/7, 3793, -0.02?\nAnswer: 3793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**5\/120 + t**4\/24 + t**3 - 3. Let l(n) be the third derivative of u(n). What is the smallest common multiple of l(2) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -25 - (27 + (12 - -11 - 11)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-16)\/(-12))*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314049*g**2*j**3 - 8*g**2*j**2 - 2*g*j**2 + 4474*j**2 wrt j?\nAnswer: 1884294*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/67, 0, 4, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*q. What is the third derivative of -s**4 + 5*s**4 - s**q - 2*s**4 + s**2 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 209*z + 15. Let h = 38 + -34. Is q(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10 - y**2 + 9*y + y**2 + 0*y**2 - y**2. Let g be i(7). Suppose -2*j = -5*m - 20, -j = g*m - 3*j + 18. Let h(a) = -2*a**2 - 3*a - 3. Determine h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166639, 333279, 499917, 666553, 833187, 999819?\nAnswer: 1166449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1, -13\/3, 1\/5, 7\/1034, -2\/5?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(88\/(-156))*(-16)\/(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/3)*q**5*q*q*q**(-17)\/q*q*((q**(-10)*q)\/q)\/q*q*q assuming q is positive.\nAnswer: q**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*p = -5*v + 139*p - 30, 6242 = -3121*p for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:42 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 100*h**4\/3 - 19645520*h**3\/3 - 74654164*h**2\/3 - 50293456*h\/3 - 3143344 = 0.\nAnswer: -3, -2\/5, 196459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-1 + 2))*-1. Suppose 4*j + 8 = 2*y, 0*y + 4 = -x*y. What is the units digit of (-116)\/(-12) - (-2)\/j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29040014 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-9)*(-9)\/189)\/(6\/(-21))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72645, 72641, 72639, 72639, 72641, 72645?\n\"Answer: s**2 - 7*s + 72651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - 6) - 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1734, -159 in descending order.\nAnswer: 1734, 0, -1, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688)*2)\/(sqrt(96)*-3) + (-6*2*(sqrt(343) + 0 - (sqrt(7) + (2*sqrt(28) - sqrt(7)))))**2.\nAnswer: -4*sqrt(7)\/3 + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-288)\/(-16) - (2 + -12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/20*-1*40\/12)\/(21\/66).\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -69*(-6)\/130 + (-9)\/540*-12. Factor 12\/13 + i*l**2 + 6\/13*l**3 + 50\/13*l.\nAnswer: 2*(l + 1)*(l + 6)*(3*l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -14\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yssd when four letters picked without replacement from {d: 1, w: 2, v: 2, s: 2, y: 8}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*t + 80*t + 87*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3 - i**2\/2 - i - 3. Let o be g(-1). Let a(t) = -t**3 - 4*t**2 - 2*t + 2. Let x be a(o). Which is smaller: -3\/8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14602015 or 14602017?\nAnswer: 14602015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -102cc64 (base 13) in base 10?\nAnswer: -4912405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8096155*c*y**2 - 42*c*y + 36*c - 2*y + 84 wrt y?\nAnswer: 16192310*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 1, t: 1, h: 2, g: 1, s: 2}. What is prob of picking 2 s, 1 h, and 1 t?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603875629.\nAnswer: 7, 31, 251, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20444.84828 minus 411?\nAnswer: -20855.84828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.217262 * -4.\nAnswer: 0.869048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 12 = 10*d. Suppose -1 = -j - 3. Sort j, d, 1, -1 in increasing order.\nAnswer: j, -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25 + 34 - 2\/(-4)*-10. Let j be (0\/1)\/(-3) + 0. Suppose -h - 2*h + 124 = 4*r, -t*r + 2*h + 104 = j. What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 - 38 = 0. Suppose 75*l - 4*r = 76*l - 10, -l + 5*r = -46. Do t and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 90. Calculate the least common multiple of 10 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 8) to base 4\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 7 + (9 + -24 - -14) + -29 + 17.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3175904?\nAnswer: 1\/793976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 54*f - 12 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.58239g in nanograms?\nAnswer: 50582390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 4*u**2 + 86*u - 120. Let l be j(-12). Let s(w) be the first derivative of l*w**2 - 41 + 22\/3*w**3 - 24*w. Differentiate s(r) wrt r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3024061 and 1333.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37274286 is divided by 1194.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327315579.\nAnswer: 2327315579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34118924 or 0?\nAnswer: -34118924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1)*((-629)\/2 - -2). Let u = -439 - l. What are the prime factors of u?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38689502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 21*b**2 + 3. Let d(f) = 7*f**2 + 1. Give -8*d(x) + 3*u(x).\nAnswer: 7*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6073406 not equal to -6073407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -2898781\nAnswer: -139141488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + (-3408414)\/((-5)\/20 + 4). Round f to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612847 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*d + 383*d + 79 = -1. Sort 4, d, -1, -5, 1.\nAnswer: -5, -1, 1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 839452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -3 in ascending order.\nAnswer: -18, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.085 in -0.4, 5, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-12) + 17\/(-68). Suppose x*z - 570500 = 9*z. Round z to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b - 31. Let c be 2 + (-76)\/(-18) - (-46)\/(-207). Give h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 6. Let g(y) = 14*y + 37. Let t be g(-3). Determine f(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002222201002 (base 3) to base 5.\nAnswer: 410400113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -51, -47, -41?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2658274*o - 2658274*o + 64*o**3.\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - u**2 + 1. Let f(x) = -323*x**3 + 2*x**2 - 2. Give -f(n) - 2*z(n).\nAnswer: 319*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 163, 152, 137, 118?\n\"Answer: -2*k**2 - 5*k + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r - 62*r = 4*y - 12653, -r = y - 12668. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -83002630.\nAnswer: -1\/16600526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2412*q - 38439. Give x(-16).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/12 + f**3\/2 + f**2\/2 + f. Suppose -15 = -7*n + 12*n. What is the units digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 280*d + 858. Give r(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 6, -0.1, 0.3 in increasing order.\nAnswer: -1\/2, -0.1, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 5*o - 223. Suppose -3*i + 2*x + 29 = 75, -o = 4*i + 2*x. Let d = i + 28. Calculate the remainder when 46 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*p + 51 = p, -w + 43 = p. Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4))**2 + sqrt(35)\/(sqrt(5)*-2).\nAnswer: -sqrt(7)\/2 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1513 - 7?\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/2 - (-2)\/(-4). Suppose j*v + 39 - 129 = 0. Let p = 82 - 67. What is the lowest common multiple of v and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 7984*x + 7980*x - 1, -2*x - 3 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 - (-4 - (-4 - 4)). Let q = y - -19. Solve 0*k - q = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v**3 - 16594700*v**2 - 1382892*v = 0. What is v?\nAnswer: -1\/12, 0, 345723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -30. Suppose 192 + w = -2*q. Let u = -111 - q. Which is the second smallest value? (a) -5 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1296 - 2750. Round s to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*r**2 - 1993*r**2 - 5*r**3 + 668*r**2 + 659*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17.07. Let q = 0.03 - p. Let r = 0.8 - 0.4. Which is the nearest to -2? (a) q (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1475, -1486, -1503, -1526, -1555, -1590, -1631?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13246 or 218?\nAnswer: 13246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + f = -8, -8*f - 12 = -4*x - 4*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 0. What is the remainder when b is divided by (12\/10)\/(6\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12304 and -12303 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.29 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 27*t - 107. Let v(f) = -9*f + 39. Let x(q) = 4*i(q) + 11*v(q). Let j(m) = -6*m - 1. What is -7*j(z) - 5*x(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 1, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*c - o, 396*c - 18*o + 64 = 398*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) + 2 + sqrt(153) - sqrt(153)) + sqrt(153) + 3 - ((sqrt(153) + 0)*-2 + 3))**2.\nAnswer: 336*sqrt(17) + 7561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(1 - 1 + 1) + 1 + 1 - 1 - 3 + 0 - 11)*(-9*i**2 + 44 - 44).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -113. Sort l, -4\/5, 2, -9 in descending order.\nAnswer: l, 2, -4\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493460875 divided by -150125?\nAnswer: -3287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -2 - (1*sqrt(136))\/sqrt(8))**2.\nAnswer: -4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 3*w - 7*w + (-6 + 4 + 3)*(18*w - 49*w + 17*w) - 4*w + w + 2*w as a + b*w and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + q - 58341 = 0, 11*l = 2*l - 2*q + 525125. List the prime factors of l.\nAnswer: 19, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - ((1 - 1) + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h = -56*h - 24. What are the prime factors of -1325*(h\/(-14) + 192\/(-280))?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3682 (base 11) in base 3?\nAnswer: -20121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 213?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 59 - 19. Let z = f - 5. Solve -z = -3*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:49 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 262713 - 5?\nAnswer: 262706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/270 and (-174)\/(-28) - (-116 - -117).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5 - 4*i**4 + 106*i**3 + 112*i**2 - 105*i - 108 = 0.\nAnswer: -12, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3\/3 - 11499410*j**2\/3 - 6611821517405*j\/3 = 0 for j.\nAnswer: -1149941, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 16*z**2 + 15*z + 2. Let l be w(15). Solve 0 = -l*m + 5 - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -18. Let q be -10 + (-1)\/((-3)\/i). Let k(t) = -t**3 - 10*t**2 + 11*t + 4. Let d be k(q). Which is the closest to 2\/11? (a) d (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 75*c**2 + 38*c - 40. Let i be g(37). Let u = -167.7 - -182. Let a = u + -14. What is the third smallest value in -0.2, a, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4 (c) -5 (d) -56 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.82185 grams in milligrams?\nAnswer: 8821.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38590849343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12136*y + 6. Let a(d) = -18194*d - 8. What is 5*a(k) + 7*v(k)?\nAnswer: -6018*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -552 + 548 + (5 + -2 + -3 - -28)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by ((-45)\/(-25))\/(81\/270)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104125556 (base 8) to base 15.\nAnswer: -187eabd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((-4*sqrt(1377) - sqrt(17)) + 4)**2*-5).\nAnswer: -2960*sqrt(17) + 232884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, n: 9, w: 2, q: 4}. Give prob of sequence qknw.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 5, x: 4, c: 5}. Give prob of picking 1 c and 1 x.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h - 28. Suppose -2*p = -p + 5*m + 22, -4*p - m = -7. Let r be u(p). Suppose r*n + 2*c - 119 = -c, -2*c - 6 = 0. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 110. Let u = -39.724 + p. Let i = u - 0.2. Round i to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 314256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is e4cc (base 15) in base 3?\nAnswer: 2110022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2313*b*d*n**2 + 4*b*n**2 + 5540*b + 5*d*n with respect to d.\nAnswer: -2313*b*n**2 + 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**15)**(-2\/79))**(-44))**11 assuming t is positive.\nAnswer: t**(15488\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9499\/4 + 2375. Which is the second smallest value? (a) 0.5 (b) -0.3 (c) 2\/23 (d) s (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjppjppjjpjjj. What is prob of picking 2 p?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 16*b**2 + 13*b - 2. Let r be d(-17). Is 67 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*m + 18*m - m**2 - 5*m + 10 to the form j*m + s + v*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 17.4. Let b = 19 - x. Let q = 2 - 2.4. What is the second biggest value in 0.4, q, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-23)\/184*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10ba3 + 5?\nAnswer: -10b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 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: What is the square root of 12824 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/438 and 145\/438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h. What is the second derivative of 3*x + h*x + 2*x - x**4 - x**4 wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36650215.\nAnswer: 5, 7, 17, 31, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 - 5*x - 4*x + 3*x as p*x + j and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*y**3 - 58*y**3 + 174*y**3 - 54*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.2. Let o = 4.28 + -1.31. Let j = 0.03 + o. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4 - 75?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 = 21401*b - 21856*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (0 - 1)) + 1 + 56. Suppose 4*v = 3*y - v + 50, -3*v = 4*y + z. What is the tens digit of -1*(y - 8\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.05, -8, -4\/7, 5, 6973?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 9*q**2 + 6*q - 10. Suppose -r = 2*c - 48, -4*c + 192 = 4*r + c. Let j = 113 - r. Let y = 57 - j. Determine f(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + 9*x**2\/2 - 18*x - 736. Determine f(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 2.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16975 - 0.1.\nAnswer: -0.26975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, q: 1, t: 2}. What is prob of picking 2 l?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 536065 (base 11) in base 3?\nAnswer: 1121112220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27918371 is divided by 15623.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4 + 4)*(-3 - w + 3)*(-66*w**2 - 200*w**2 + 9*w**2).\nAnswer: 257*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126789417283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9 = -y. What is the greatest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2243 + 13459\/6. Let 0 - 5\/6*d - z*d**2 = 0. What is d?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:53 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5887835830 to the power of 1\/3, to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 24 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 35.7?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157438 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) -5\/4 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = k + 7*v, 0 = 2*k + 4*v + 16. Let l be 4 + k + -3 + -2. Let o(q) = 11*q**2 - q. Calculate o(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 2 (c) 11 (d) -2 (e) 1328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - d**2)*(-1 + d + 1 + (0 + 5 + 2)*(2*d - 4*d - 3*d)).\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(153) + sqrt(17) - (2*sqrt(102) - sqrt(102))\/sqrt(6)) + 0 + (-5*2*sqrt(170))\/(sqrt(20)\/(sqrt(6)\/sqrt(3))).\nAnswer: -7*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420.52056546 plus 22?\nAnswer: 442.52056546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. Suppose 3*d + 276 = -q*d. Let n = d + 507\/11. What is the common denominator of n and -19\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 107. Let p = d - -12. Solve -5*o = 4*m + p, -4*o - 6 = -5*m + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16183054\/9 - -1796353. Let s = w - -1756. Let g = 3459\/4 - 51553\/60. What is the common denominator of g and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1179, -1098, -1017, -936, -855, -774?\n\"Answer: 81*g - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 84*w + 30 + (0 - 2 + 1)*(0*w - 2*w + 3*w))*(2*w**2 + w**2 + 0*w**2) to the form u*w**2 + d*w**3 + z + n*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 7599 - 7601 = -3*d, -17 = -4*d - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i*n**3 - 12*i*n + 61*i + 55*n**3 + 2*n**2 + 8*n wrt n.\nAnswer: 36*i*n + 330*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 9, v: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -148, -224, -300, -376?\n\"Answer: -76*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62284\/11 - -5662. Let b = 107 - 859\/8. Sort b, -0.1, f in descending order.\nAnswer: -0.1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from karzazdarrrrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2640515, 5281032, 7921549, 10562066, 13202583?\nAnswer: 15843100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-218492)\/8)\/((-33)\/66).\nAnswer: 54623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -18022*t + 1351641. Calculate q(75).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -31, -35, -41?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18863 - 18841. Let y = 10 - 4. What is the smallest common multiple of q and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.534 - 0.466. What is the biggest value in 2\/13, 3, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54299853 to the power of 1\/2, to the nearest integer?\nAnswer: 7369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -381*c + 4760 - 1331 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004.446 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 4 + sqrt(2) + sqrt(10)\/sqrt(5)).\nAnswer: -20 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64022 is divided by 832.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.006 - -4.306. Let r = f + 0.7. Let a = r + -7. What is the nearest to -0.1 in a, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + 0.51. What is the second smallest value in -0.3, w, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 31048*y**3 + 11228156*y**2 - 55489112*y + 44292000 = 0. Calculate y.\nAnswer: 1, 4, 375, 7382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/21)\/11 - (-16)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -50, -136, -298, -560, -946?\n\"Answer: -4*z**3 - 2*z**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let v = i - -3. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.086 + -0.086. Let q = 34.7 - y. Let s be (-16)\/56*(-14)\/(-6). Sort 0.1, s, q, 0.2 in decreasing order.\nAnswer: 0.2, 0.1, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/4, 1, -16\/9, 10 in descending order.\nAnswer: 10, 3, 1, -1\/4, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - 7*v - 5. Let d(g) = -3 + 6*g**2 + 2*g**2 - 65*g**2 + 0*g + 60*g**2 - 3*g. What is -5*d(b) + 2*f(b)?\nAnswer: -b**2 + b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0 - 1553\/4*h**3 + 1341\/2*h**4 - 405\/4*h**5 + 62*h**2 - 3*h = 0.\nAnswer: 0, 1\/9, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5 and 1 + (-160)\/6 + (-9)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, j: 11, r: 2, f: 3, e: 1}. Give prob of sequence cf.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 135 = -115. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*l = 2*v - 20, 0 = -3*v + 5*l - 14. Let u = 49 + -85. Let b = u + 52. What is the smallest common multiple of v and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*40*(-6)\/12. Is 5\/((-2)\/(h\/2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*b - 3159 = 345*b + 1369 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2975*a - 2772*a - 9507 + 2605 = 0 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -207. Let a = d + -134.0000439. What is a rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1150)\/460)\/((-225)\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 54. Let y = c - 29.3. Suppose 2*t = 4*z - 2, 0 = -3*z + 3*t - 2 - 1. What is the nearest to 0 in 1\/3, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3430 or 3429?\nAnswer: 3430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12195133?\nAnswer: 1861, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x + 2*x - 4*x)*(0*x + 4*x - x)*(6626 + 6385 - 14207) to n + b*x**2 + t*x and give b.\nAnswer: -10764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - 33. Let b = 49 + w. Let v(q) = -3*q + 6 - 1 - 2 - 2. Determine v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5203 - -5322. Solve 116*l - 27 = y*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 72. Let w be g(10). Suppose w*z - 240008 = 4*o, 2*z = 2*o + 7*z + 119980. Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 21363 = -6809. List the prime factors of o.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b = -2*w - 22*b + 2, 4*w + 3*b + 17 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2288, 11\/8, -2, -2\/3, 2\/7?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23883390 - 230483.\nAnswer: -24113873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = 14. Let l(k) = k**2 + 5. What is the units digit of l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*o + 10 = 6*t, -7*t + 10 = -o. Determine x so that -2\/3 - t*x**2 + 2\/3*x**3 + 2*x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*c - 11 = 0, 12*c + 59*c = -f + 29*c - 46*c + 355 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 8*j = -g - 7, -4*j + 17 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c, -7*y + 6*y + 8075 = 2*c. What are the prime factors of y?\nAnswer: 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1*sqrt(171)*-6 + (-2*sqrt(171) + sqrt(171))*-2 + sqrt(171))\/(((sqrt(90)*-1 - sqrt(90) - sqrt(90))\/sqrt(10) + sqrt(9))*2)*1.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 604, 1209, 1814, 2419?\n\"Answer: 605*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 11) to base 4\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/7 - 2160*j**2\/7 + 116876*j\/7 = 0. Calculate j.\nAnswer: 0, 61, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:42 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 609*z**2 + 3027*z - 91. Give h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4847.148 + 4767. Let a = c - -80. Let n = a + 0.148347. Round n to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -18 - 14\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3184584 less than -1.75315978?\nAnswer: 3184582.24684022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 x, and 1 k when three letters picked without replacement from {p: 4, l: 2, x: 1, k: 3, r: 6, g: 3}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178\/119153 - -2422785154\/207683679. Let t = r + -1\/1743. What is the common denominator of -32\/157 and t?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9324 - -9329. Sort n, 0.4, 2\/9, -5, 111 in increasing order.\nAnswer: -5, 2\/9, 0.4, n, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*p - 24 + 24 + 6 + p - 6 + 2*p - 4*p + 0*p + (3*p - 5*p + 4*p)*(-2 - 2 + 2) - 2 + 2 - 2*p + 0*p + 4*p - 2*p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 67*m**2 - 202*m + 4205. What is t(69)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/96*(-3)\/(-52).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-2 + -3 - -2). Suppose -2 + f = 2*l. What are the prime factors of 8\/1 + 1\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 7*d - 28. Let q(v) = -v**2 + 16*v - 25. Let w be q(6). Calculate the highest common divisor of w and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4 - (-3)\/(-6). Let n = -749 - -756. Solve g = h*b + n, 0*g + 2 = g - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-8)\/4 + (-1118)\/(-156)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 7*v - 46*v**2 + 48*v**2. Suppose 5*q = -4*g + 31 + 6, -27 = -4*g - 3*q. What is x(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/1*-40*(-1391)\/4280.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54.9 + 51.9. What is the closest to -1\/3 in 7, -0.4, b, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, -1, -71.846, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 305, 17, 8.4?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 31, 2.4, 2 in ascending order.\nAnswer: -1, 2, 2.4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253134 = -74*q - 44*q + 258562 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 8*h - 149. Suppose 8 = -2*w + 16. Let i(u) = -u**2 - 9*u + 150. Let n(j) = w*i(j) + 5*v(j). What is the derivative of n(b) wrt b?\nAnswer: 22*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejv when four letters picked without replacement from {o: 2, j: 6, y: 4, v: 3, e: 1, m: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471689598.\nAnswer: 2, 3, 107, 149, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 10*v - 27. What is r(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2487 + -286007\/115. Let o = 906\/805 - w. Factor -o*g**2 - 4\/7*g + 8\/7*g**3 + 4\/7 - 4\/7*g**5 + 4\/7*g**4.\nAnswer: -4*(g - 1)**3*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000492579307 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 127.3 and -48793480?\nAnswer: 48793607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -450, 0.58?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173295 - -113295. Round s to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 27527*p + 5 = -27530*p, -y = 4*p - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 241901\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 1652*i**2 - 2*i + 1389*i**2 - 5805*i**2 to o*i + g*i**2 + j and give g.\nAnswer: -2764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6663566 by 3.\nAnswer: -6663566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 150\/20*(-27)\/20 and -79\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.3 + 1.3. Let r = -2 - c. Let x = 0.3 - -0.2. Sort -1\/7, x, r in ascending order.\nAnswer: -1\/7, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -27. What is the remainder when 65 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 140?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33203430 (base 5) to base 16\nAnswer: -464f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 8. Let t = 30 + -17. Let v = -9 + t. Put v, -5, z in descending order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + m**2 + 16*m**2 to the form b*m + y*m**2 + k and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62994, -60275, -57556, -54837, -52118?\nAnswer: -49399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfjnjjnj. Give prob of picking 1 f and 1 n.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5450745 rounded to 3 dps?\nAnswer: -2.545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2 + 1. Let f(t) = -8*t. Determine f(u(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/7 - 77050*w**2\/7 + 18071934*w\/7 + 18148986\/7 = 0.\nAnswer: -1, 237, 38289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 76908*f + 2154208.\nAnswer: -(f - 28)*(f + 76936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18.51435 centuries?\nAnswer: 1.851435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((6812\/2096)\/(3\/48)).\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2079 - 2077.6. What is the closest to -2\/5 in -5, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 3*w = 24, -8 = 2*u + 4*w. Let r = -25 + 29. Suppose 4*l**r - 4*l**4 - l**u + l**5 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 276, -2\/153?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1 + -5 - (-92)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5970 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 1*692\/9 - (-3)\/27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157793 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -8 (c) -2\/7 (d) 0 (e) -2.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 5*b - 3*b)*(-b + 3*b + 2 - 3*b) + (1 - 3 + 0)*(b**2 - 3*b**2 + 0*b**2).\nAnswer: 8*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 146*w. Let f(b) = -102*b**2 + 1. Give f(u(t)).\nAnswer: -2174232*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-4 - (-2 + (sqrt(19) - sqrt(19)*3)) - (sqrt(1539) + -1 + 3 + -2).\nAnswer: -11*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-4)\/(-2)))\/(125\/(-290700)*-171)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 19*m - 29. Let i be t(-17). Suppose 10*q = i*q + 20. Let r = q - -33. Is 37 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 5589?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1300 (b) 2\/11 (c) 3 (d) 2 (e) 4\/31 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745060493?\nAnswer: 21019, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (sqrt(176)*-2 + sqrt(176) + -5)) + 5 - (sqrt(1331) + -1 + 3 + 1)**2)*1.\nAnswer: -1330 - 58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3292, -6529, -9770, -13015?\nAnswer: -16264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83760.\nAnswer: 2, 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 + 2*q + 2. Let k be l(-3). Let s = -3 - -10. Let z = k + s. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29135\/2158 - -1\/1079. Suppose 3*a + 21 = -21. Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*i**5 - 845*i**4 - 120*i**3.\nAnswer: -5*i**3*(i + 24)*(7*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20707410\/13 or 1592879?\nAnswer: 20707410\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) 4\/7 (d) -0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477004099, -477004098, -477004097, -477004096?\nAnswer: -477004095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3112, 3738, 4362, 4984?\n\"Answer: -i**2 + 629*i + 2484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 4. Let y be p(-2). Is y <= -3\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.05 and -296599.\nAnswer: -296597.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -202547121\nAnswer: 607641363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*d**4 + 6*d**3 + 1136*d**2?\nAnswer: 1704*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:23 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -208, 1350 in increasing order.\nAnswer: -208, -24, 1350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 3*u**2 - u - 2. Let s be f(5). Let c = s + -20. Suppose 4*a - c = -3. What is the smallest common multiple of 3 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 5\/3, 6.2, 2, 7, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0. Let i(v) = 19*v - 364. Let l be i(19). Which is the nearest to 6? (a) 0 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1200, 1199, 1198, 1197, 1196?\n\"Answer: -d + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*w = 10, w - 32 = -4*z - 4*w. Suppose z*i - 26 = 5*k, 3*i = -k - k - 2. Suppose i*u = u + 1. Solve -a = -u - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12843377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgbg when four letters picked without replacement from {e: 2, b: 1, g: 6, o: 2, t: 7}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 19*q**2 - 1521*q - 68. Calculate the remainder when g(50) is divided by 136.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d**3 + 10*d**2 - 4*d + 222. Let l(m) = 17*m**3 + 11*m**2 - 5*m + 223. Let p(a) = 2*l(a) - 3*s(a). What is the second derivative of p(q) wrt q?\nAnswer: -66*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(11\/6)*(z\/(z**(-3\/7)\/z))\/z**(-1))**(-27) assuming z is positive.\nAnswer: z**(-2547\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 7)*(3207*b + 3*b**2 - 7*b**2 + 2*b**3 - 1 - 3206*b).\nAnswer: -4*b**3 + 8*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9 = 3*g + 12, 3*g + d + 15 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.81 - 7.8. Sort f, -2\/5, 4\/9, -1\/4 in ascending order.\nAnswer: -2\/5, -1\/4, f, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34737 >= 59\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 14*n**2 + 34*n + 15. Let g be v(-11). What is the common denominator of (-4)\/80*(-194)\/2 and (-42)\/g*169\/(-390)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*v + 3, 4*v + 6 = -4*y + 18. Let d be y\/9 + (-26)\/(-6). Solve l - d*l - c - 15 = 0, -2*c + 10 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*h - 204 + 1335 = -33. Solve -3*k = 4*g + 16 - 11, 3*g = -h*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 and -97\/5686.\nAnswer: 22744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2329)\/(738\/25092).\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 870*q**3 + 871*q**3 - 2*q**4)*(-q - q + 0*q) + (2*q**4 - q**4 + 0*q**4)*(-4*q + 0*q + 3*q).\nAnswer: q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821766.\nAnswer: 2, 3, 11, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*a - 2*a = 35, 3*a = 2*c - 10. What is the smallest common multiple of 2 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3460?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(72\/(-174)) - (-2 + 21 + -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -1145)*(-1)\/2. Let w = n + -151. What is the highest common divisor of 38 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.5, 21, 42 in decreasing order.\nAnswer: 42, 21, -16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwfgwwgwwwwwwq. Give prob of picking 1 f, 2 g, and 1 q.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7af4d (base 16) to base 15\nAnswer: -9e354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28551 (base 12) in base 10?\nAnswer: -56077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -58, 6, 3\/2, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(891) + 4))**2 + (sqrt(11) - (sqrt(396) - sqrt(396)*-3)**2)*1.\nAnswer: -2708 + 289*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.629 + -6.829. Let n = 0.8 + -1.1. Suppose 2*w = 2*b - 6, 4*b + 2 = 2*w + 6. Put s, b, n in increasing order.\nAnswer: b, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4802 is divided by 336?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35092 and 29264?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:39 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 4379718*f - 4795482439881.\nAnswer: -(f + 2189859)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495872431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*v + 4 - 22*v + 21)*(10*v - 29*v - 43*v - 1) in the form f + u*v**2 + r*v and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 84554*m**2 + 92794*m**2 + m to the form q*m**2 + g + r*m and give q.\nAnswer: 8240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-2 - 0) + 0. Let d(k) = m*k + 2*k - 3*k. Let u(t) = -2 - 34*t**2 + 2 + 39*t**2. Calculate d(u(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490 + 399. Let v = 151 - x. 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: What is prob of sequence km when two letters picked without replacement from kmpfmplmfptm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:14 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjh when three letters picked without replacement from {h: 1, w: 1, n: 9, v: 3, j: 4}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x - 20. Let v(r) = -25 + 20*r - 4*r - 7*r - 7*r + 19. Let b be v(x). Is b not equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + 1 + -9 + 20 + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 + 8*t - 2. Let p be i(-6). Suppose p = 5*y - 3*y. Suppose -y - 7 = -4*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951 != 858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 70. What is the smallest common multiple of n(13) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2 + 2*h - 2. Let k be (-16)\/(-9) + (-38)\/(-171). Let q(n) = n**2 - 2*n**2 + 4*n**2 + 0*n**k. Calculate i(q(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 7. Let v be r(5). What is the derivative of n**3 - 1 - 2 + n**v wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 43089682792.\nAnswer: 43089682789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133) + sqrt(133)*-2*5 + (-2*sqrt(133) - sqrt(133))*1))\/((-2*sqrt(140))\/((sqrt(5) + sqrt(5)*-2)*1)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 857 - 19713\/23. Which is the third biggest value? (a) 3 (b) 2 (c) -1\/4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (310\/8)\/5*(-3704)\/(-2). Suppose 13*w = 93042 - x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t + 89*t**2 - 97*t**2 + 301*t**3 + 628*t**3 + 282*t**2 + 148*t**2 wrt t.\nAnswer: 5574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313*0.2.\nAnswer: 62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1548 + -3062. Let d = h - -1514.2027. What is d rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 5*t - 3*t - 5*w, 0 = -3*w. Let z = 65 + -157. Let b = z + t. Let j(p) = p - 1. Let s(m) = -3*m**3 + 9*m - 9. Give b*j(v) - s(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168171220 is divided by 5833?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 1?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39917 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476442 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 80 + (-1 + 1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 6437*a - 6432*a - 28 = 0, -6*a = c - a - 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.14474 + -0.14144. Let j = 0.957 - m. What is j rounded to 3 dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -768, -1005, -1242?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 7*q**2 - 7. Let i be y(-3). Is (56407 + i)\/(1*(-6 - -9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 50. What is the units digit of z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64100268*c - 78884566 with respect to c.\nAnswer: -64100268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l\/(l\/(l\/l**(-2))*l))\/l*l*l)**(-6)\/(l**(-1)*l)**47)**(-41) assuming l is positive.\nAnswer: l**1230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12134 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7692 is divided by 115.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*6\/(-8) - -4. Which is the closest to -1\/2? (a) -5 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29142\/8 + (-50)\/(-40) - 5.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/140*((-2230)\/210 + 11)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*r + 92 = 89, 5*r = -2*l + 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -0*l. Let x = 207\/5 + -218\/5. Let a = 39\/20 + x. Put l, a, -3 in decreasing order.\nAnswer: l, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + i**3 + 3*i**3 + 12*i - 15*i + 1 - 2*i**3 to the form k*i**3 + m*i + u + x*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -28*n - 856. Let f(l) = 14*l + 464. Determine 7*f(m) + 4*p(m).\nAnswer: -14*m - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 572, 874, 1174, 1472, 1768?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12305 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trqr when four letters picked without replacement from {r: 3, t: 1, k: 4, q: 1, d: 3, g: 6}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.0881 to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 6*o**3 - 2*o**2 - 6*o + 4.\nAnswer: -2*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = 5*j - 2297, j + 2864 = 5*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -4*i - 1578. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -16 + 9. Let f = -17 + 26. Is f\/(-21) - (-136)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3157 and 187165.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/12 - (-6)\/24. Let r(u) = -2*u + 1. Let j(t) = -3*t + 2. Determine q*j(s) - 4*r(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (378100\/6)\/(-5) - (-56)\/42. Let b = f - -23797. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 15*r**7\/14 + 4*r**6\/3 - 163*r**5\/4 - 375*r**4\/2 - 770*r**3\/3 + 100*r**2 - 11*r + 2. Determine u, given that i(u) = 0.\nAnswer: -2, 1\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -10 + 0*n - 3\/2*n**2 - 25\/3*n**3. What is the second derivative of z(h) wrt h?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.215406 and 0.5.\nAnswer: -0.607703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 184.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6605 - -6608. Solve 0 = 3*r + 5*n - 0 + 3, 0 = 4*r - j*n + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 59*l**6\/15 - l**5\/2 - l**4\/12 + 1297*l**2. Find the third derivative of u(v) wrt v.\nAnswer: 2832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**5 + 5*i**4 - 2*i**3 - 12*i + 92 wrt i.\nAnswer: 120*i**3 + 60*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/1038 - -2093\/17646. Which is the nearest to 0.1? (a) k (b) -2\/89 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2933 = 679. Let y be (45\/20)\/((45\/(-7730))\/3). Let r = o + y. Find the common denominator of -31\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c + 1079 = 119*c. Solve 0 = -4*x - p + 6, 9*p - 16 = -4*x + c*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3407 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwwweeeeeweeeww. What is prob of sequence ww?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 1, u: 1, s: 1, h: 1}. What is prob of sequence usc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110011020 - -222?\nAnswer: 2110011302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2543, 11354, 25975, 46412, 72671, 104758, 142679, 186440?\n\"Answer: o**3 + 2899*o**2 + 107*o - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3*v**2 - 2*u**3 + 3*u*v**5 - 5*u*v + v wrt v?\nAnswer: -2*u**3 + 60*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + -7 + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 29*p + 7. Let q = -1250 + 1258. Let k(s) = -5*s**2 + 43*s - 11. Give q*d(u) + 5*k(u).\nAnswer: -u**2 - 17*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(1\/13))\/f)\/(f**8*f))\/(f**(-2))**(-4))**(2\/41) assuming f is positive.\nAnswer: f**(-444\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6131.8 and -60?\nAnswer: -367908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -202, -407, -726, -1195?\n\"Answer: -6*o**3 - 3*o**2 - 76*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 - 2*b**3 - b**3)*(0*b + 12*b + 9*b).\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let k(u) be the first derivative of u**2\/2 + 23. Calculate h(k(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15590848 and 6124976?\nAnswer: 171499328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 7. Let b(g) = 20*g + 20. Let k(u) = 6*b(u) + 17*z(u). Suppose -730*p + 35 = -695*p. Let j(l) = 2*l + 1. Calculate p*j(i) - 4*k(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228083*g**5 + g**4 - 1778594*g**2?\nAnswer: 13684980*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b5440 (base 15) to base 12.\nAnswer: -1262496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*12\/2184 + (-615)\/(-910).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3, -4\/9, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + (sqrt(44) - sqrt(88)\/(sqrt(10)\/sqrt(5))))\/(sqrt(8)\/(sqrt(2) - sqrt(18))))**2 + (((5*sqrt(22)*2)\/sqrt(2))**2 - 2*(sqrt(539) + -1)).\nAnswer: -14*sqrt(11) + 1146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2 - w + 1. Let i(q) = -q**3 - 2*q**2 + 41*q + 2. Let o = -129 + 128. Let x(r) = o*i(r) + 2*t(r). Find the second derivative of x(a) wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 31. Suppose -17*s + 19*s - 28 = 4*l, 6 = s + 2*l. Give z(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = 8*z. Differentiate -365*y**3 + 181*y**3 + 32*y + z*y**4 + 184*y**3 + 24 with respect to y.\nAnswer: 8*y**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 38 in increasing order.\nAnswer: -2, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*x + 6219 = 0, 0*t - 3132 = -t - 2*x. Calculate the highest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 12:07 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -13*a - 5 - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123.341 + -0.141. Let l = q - 124. Let m = 1.52 + -0.52. Which is the smallest value? (a) m (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:39 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 19cd26?\nAnswer: 19cd2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u*u**3)\/(u**(-2\/11)\/u*(u\/u**(7\/5))\/u*u))\/(u\/u**(-2\/15)*u**(-4))**(-11\/3) assuming u is positive.\nAnswer: u**(-488\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 - 2*d**2 + 4*d**2 + (-13 - 18 + 13)*(-6*d + 14*d - 10*d)*(-2*d + 2*d + 2*d).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -3498.59.\nAnswer: -3498.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/7, 2.2, 1, 5, -0.11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39420?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2550775933.\nAnswer: 491, 5195063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10)*(-8)\/3. Suppose 2*d = -s*o + d + 7, 0 = o + 5*d - 16. What is the tens digit of (42\/1 + -1)\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -0.5 (c) 1 (d) -174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013037192.\nAnswer: 2, 3, 1563329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1971 times -0.0709\nAnswer: -0.01397439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**5 - 28*z**4 + 50*z**3 + 8*z**2 - 24*z = 0.\nAnswer: -6, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-5)*d*d))**(-4)\/(d**(-3\/5))**(1\/2))**(1\/20) assuming d is positive.\nAnswer: d**(-157\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwx when three letters picked without replacement from {w: 7, h: 1, i: 3, x: 2, d: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 9. Which is the nearest to j? (a) -0.2 (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 10 - 6*1) + (-9)\/11. What is the nearest to -1\/3 in 6, -5, t, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3056, 3028, 3000, 2972, 2944, 2916?\n\"Answer: -28*p + 3084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 6 + 93 - -45.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/13 - 41\/91. Let b = 3192.01 - 3192. Sort 1, p, b in ascending order.\nAnswer: p, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*x - 40 = 0, 2*v - 16 = -4*x + 2*x. Suppose v*r - 7*r - 75 = 0. Suppose 5*k - 125 = w, 5*k - 2*k = -5*w + r. Solve y = -4*y + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 + t**4 - 2*t**4)*(-2 - 2 + 2) - 27*t**4 - 20*t**4 - 3*t**4.\nAnswer: -44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28*(3 + 20\/(-8)). Suppose 6*s - i = 4. Suppose -w = 4*w + 5*t + 520, s*w + 308 = -5*t. What is w rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*g + 2163. Calculate the remainder when g is divided by (-3498)\/99*(-2 + -1).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Let v be (6 + j)*2\/6. Let i = v - 2. Solve 3*c + 4 + 2 = i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122438078 is divided by 40812690.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43932, -43948, -43964, -43980, -43996, -44012?\n\"Answer: -16*x - 43916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 16. Let g be q(-4). Let t be (-30)\/(-2*(-3)\/g). Suppose 11*v + t = 12*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167666567.\nAnswer: 233, 719599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 7) + -7 - -607. Solve -598 + p = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12039*o. Let n(b) = 1775*b. Calculate n(w(v)).\nAnswer: 21369225*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/((-64)\/(-6)) + (-117775)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64\/(-48)*(-563262)\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104301 (base 5) in base 13?\nAnswer: -18b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1760809444*f**4 + 63389475680*f**3 - 65137864356*f**2 - 12420176*f - 592 = 0.\nAnswer: -37, -2\/20981, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -9, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002117851 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 16. Let k be z(6). Solve -r = b - 0*r - 8, -3*b + 4*r = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9cc (base 13) in base 6?\nAnswer: -11453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -39. Suppose 8*c - m*c + 100 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55763 + -1672729\/30. Calculate the common denominator of l and (-574)\/144 - (-6)\/(-27).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32661 - 16532. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t - 22. Is i(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469721*m**5 + 526149*m**2 wrt m?\nAnswer: 28183260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/91 - -1*13\/(-7). Let i = 1.5 - 2. Which is the third smallest value? (a) i (b) 2\/19 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -53*l - 191. Give u(-8).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-6\/11))*g\/(g*g*g**13) assuming g is positive.\nAnswer: g**(-148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c = 119*c + 152 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -5 in descending order.\nAnswer: 15, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 4*m. Let x(j) = 2*j**2 - 7*j. Suppose -4*q - i + 221 = 0, -i + 53 = q - 3*i. Suppose 52 - q = y. Determine y*x(t) - 5*u(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 1169*i**2 - 9303*i + 17415.\nAnswer: -(i - 1161)*(i - 5)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3116*o - 535960. What is x(172)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1872, -129, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, m: 4, i: 3, b: 6, y: 4}. What is prob of sequence idyd?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1068, -2130, -3178, -4206, -5208, -6178?\nAnswer: -7110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4095496*z + 4103335*z - 1)*(0*z + 2*z - z).\nAnswer: 7839*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from hzjjzjhhih?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.900649 weeks?\nAnswer: 823.309032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2aa (base 11) to base 8\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5)\/15*(-1)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*(2040\/(-50))\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 173144 = 20*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 16248?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 20 = -3*v + 4*k, v + 4*k + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1410 (base 5) to base 14.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/40)\/(23\/(1380\/144))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0466354 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11862 + -11814. Solve -j - 4 = -47*w + x*w, 16 = -4*j - 3*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566, -1072, -1580, -2090, -2602, -3116?\nAnswer: -3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 438835 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 + 5263*r**2\/6 - 10508*r + 31506.\nAnswer: -(r - 5251)*(r - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2210 + 3187. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 76, 103, 164, 271, 436?\n\"Answer: 2*h**3 - h**2 - 6*h + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 41 = x. Let k = x - -109. Solve -k = -c + 3*z - z, -2*c - 10 = 5*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23384448 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010110111 (base 2) in base 11?\nAnswer: 249a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13254 + 13258. Let p(q) = 10*q**3 - q**2 - q - 2. Let d(c) = -50*c**3 + 6*c**2 + 6*c + 11. What is h*d(n) + 22*p(n)?\nAnswer: 20*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -26. Let x be ((-16)\/(-10))\/(8\/(-20)). Sort -3, x, l in descending order.\nAnswer: l, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c7 + -32f3?\nAnswer: -34ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 68. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1440 and 29\/1135680.\nAnswer: 3407040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4788)\/(-252) - (-151)\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -171. Suppose p - 10 = 19*n. Solve n*j + 3 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6067084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3885300588\/17 - -157214799595297\/687888. Let v = h - -4\/2529. Find the common denominator of v and -25\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -40. Let w = s + -15. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.947 + 16.547. Which is the closest to u? (a) 0.1 (b) 1\/12 (c) -0.19 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 33*b + 31*b + 20, 2*r + 4*b - 34 = 0. Put r, 5, 6, 1, 11 in increasing order.\nAnswer: 1, r, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/1470 + s**5\/420 + 18*s**2. Find h such that x(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 7. Let z be t(-7). Let c(y) = y**2 - 6*y + 6. Let r be c(4). Let b be r\/(-3)*3*14. Calculate the greatest common factor of z and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -262 + 258. Let a(s) = 15 - 2 - 7*s - 3. What is the remainder when a(c) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 3647 + 3973. What are the prime factors of x?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.4, 2, -3\/2690, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -213, -323, -433, -543?\n\"Answer: -110*u - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575810099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 12688*h - 25360.\nAnswer: -4*(h + 2)*(h + 3170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 2235?\nAnswer: 143040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667005 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 60*l + 105. Determine b(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26922120853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 - -270. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (5 - 6) + 4 + (-15 - -7) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*s - 40. Let i = -29 - s. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14868 and 16520?\nAnswer: 148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 17, 1 in increasing order.\nAnswer: -9, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in decades?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r**5*r*r*r)\/r)*r**3 assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 572.8817 millennia?\nAnswer: 572881.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2708 (base 9) in base 11?\nAnswer: -1589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r - 15. Let z be (-75)\/6*6\/r. Let f = z + -7. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 5*d**2 - 5*d - 3. Let x(u) = 10*u**3 - 16*u**2 - 16*u - 10. Let g = 48 - 32. What is g*z(s) - 5*x(s)?\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 5. Let w(m) = 26*m - 14. Suppose -6*a = -9*a + 2*s - 50, 4*s - 16 = 0. Calculate a*d(k) + 5*w(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87827285*l**5 - 161545267*l wrt l.\nAnswer: -1756545700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 165*o - 14. Let d(a) = 165*a - 11. Calculate -5*d(j) + 4*h(j).\nAnswer: -165*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 1. Let m(b) = -2*b**2 + 10*b - 5. Let g(w) = m(w) - 5*x(w). Let n(q) = -q - 12. Give g(n(r)).\nAnswer: -2*r**2 - 48*r - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1285643, 2\/3 in descending order.\nAnswer: 2\/3, 1\/5, -1285643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:22 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 43. What is o(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 + 5\/24*n**4 - 1\/120*n**6 - 4*n**2 + n**3 + 0*n + 1\/12*n**5. Calculate c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*t*w**3 - 2144*l*t*w**2 + 11*t*w - t - 36*w**3 wrt l?\nAnswer: t*w**3 - 2144*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 - 811*u + 11616. Calculate q(54).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 11*q**2 + 47*q - 112. Let k be v(12). Calculate the highest common factor of 1771 and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*w**2 - 29*w - 8088 wrt w.\nAnswer: -46*w - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:11 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5875 + 5877. What is the highest common divisor of h and 3004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13561 + 13565. Let v(h) be the first derivative of 3\/20*h**2 + 38 + 0*h + 1\/40*h**t - 1\/50*h**5 + 1\/6*h**3. Suppose v(j) = 0. What is j?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11269889 divided by -2.\nAnswer: 11269889\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -199*y + 203*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*m + 5*s, -4*m + 3*s - 12 = -s. Solve -m*i = 25, -2*i = -24*p + 26*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {p: 1, a: 2, u: 1, l: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107117 - -5?\nAnswer: -107112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(72\/(-56)))\/(-2)*6\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:11 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 144.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 18424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2\/9 (b) 5 (c) 7\/3 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - z + 2*z + (4 + 2 - 4)*(2*z + 2 - 2) + 925*z - 1672*z + 823*z to the form x + i*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/14 - (-728)\/196. Let w(v) be the second derivative of -33*v + 0*v**4 + 0 - 1\/2*v**5 + 0*v**3 + 21\/2*v**y. What is the derivative of w(t) wrt t?\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-7)\/(-7))\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**11\/o*o\/(o\/(o*o**(-5))) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48944 and 308.801544.\nAnswer: -48635.198456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 2*z + 10. What is the units digit of l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34887\/14 + -2489. Calculate the common denominator of w and ((-91)\/4)\/((-2)\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2285*-0.04.\nAnswer: -91.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-21))\/(6 - (-38)\/(-7)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**4 - 138837*p**3 - 1615636440*p**2 - 215430093312*p + 1826912575488 = 0?\nAnswer: -23072, -143, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.4 - -1.6. Let a = o + -32. Let z = -16.018 - a. Round z to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155288464 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(20\/7)\/(m**1*m) assuming m is positive.\nAnswer: m**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 - 89*c**2 - 39806 - 72*c**2 + 19900 + 19906.\nAnswer: -181*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933.7744 tonnes to micrograms.\nAnswer: 933774400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*v - 568, -4*h + 2*v = -3*v - 2397. List the prime factors of h.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.081 - -296.919. Let r = -297.19 + t. Which is the nearest to -0.1? (a) -0.4 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15297 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133500 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2 + 84*p + 160. Let q(y) = 5*y**2 + 28*y + 54. Let d(s) = -3*g(s) + 8*q(s). Determine v so that d(v) = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 12*b - 15*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804667?\nAnswer: 31, 101, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*o + 381*o - 4*o**3 - 72*o - 93*o - 108*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01722 and 0.2.\nAnswer: -0.003444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + b**2 + 5*b - 16. Calculate n(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.081\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 2, -352, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 1373.5?\nAnswer: -1236.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5\/2*g - 1\/2*g**3 - 3\/2 - 1\/2*g**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-66 - 6 - -97).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27500677 equal to 27500675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c)\/c**18*(c**(6\/7))**(9\/2) assuming c is positive.\nAnswer: c**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 62 - 22. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 342 (c) -18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -715*c**3 + 5*c**2 + 11*c - 31. Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*z + 1 - 29 = 0, 4*z = 3*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 386, -637, -3218, -7357, -13054?\n\"Answer: -779*a**2 + 1314*a - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8 + 8. Suppose 4*r = -2*g + 20, -8*g + 15 = -n*g + 3*r. Suppose 5*k - 28 = 3*p, 4*p - k = -g*k - 9. Sort 2, -5, p in ascending order.\nAnswer: -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1295226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 u when three letters picked without replacement from yofyjujbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 21 - -4 - (55 + -57)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/5)\/((-66)\/45) + 118305\/605. Suppose -2*g = -5*g + 45. What is the highest common divisor of m and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7921 plus 26.5782125?\nAnswer: -7894.4217875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - d + 36. Calculate c(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*i**2 + 162 + 90*i**2 + 3*i**2.\nAnswer: 6*i**2 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3071 and -8.251.\nAnswer: -8.5581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, -4, 112.\nAnswer: -4, -2, -1, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.01 + 4.2. Let i = -9.81 - w. Which is smaller: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 2*i**2 - 5*i - 1. Suppose -4*o + 65 = o. What is the remainder when u(-4) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - 0)\/(207\/207)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -631 != -630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2535 less than or equal to -2533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 24 - 2*o - 34 + 3*o + 0*o. Let v be g(19). Calculate the greatest common divisor of v and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(8\/64)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 55.44. What is the smallest value in -0.2, o, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 42 - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from ttfocoooo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1039790832 divided by 3\nAnswer: -346596944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/12)\/(1\/(-3)). Let h be 15\/25 - (-12)\/z. Suppose h*r - 6*r = -36. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -4*z + 1\/4*z**4 - 2 - 2\/3*z**3 + 0*z**2. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -42. Let y be (36\/27)\/(z\/1242). Suppose -3*x = -x - y. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 756 - 7559\/10. Let c(g) be the first derivative of -4\/15*g**3 + 2\/25*g**5 + x*g**4 - 3 + 0*g + 0*g**2. Factor c(b).\nAnswer: 2*b**2*(b - 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0059 + -414.0059. Let k = o + 423. Which is the biggest value? (a) -1 (b) k (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001252420292 rounded to 7 decimal places?\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -324, -338, -362, -396, -440, -494?\n\"Answer: -5*j**2 + j - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h = 77*h + 735. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*m**2 - 469*m**2 + 831*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 3*d - 29562. Suppose 0 = -9*i - 8079 + d. What is i rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + p)*(240 - 54 + 102) as o*p + k and give o.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*r + 151*r + 157*r + 202*r.\nAnswer: 244*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.6932 rounded to one decimal place?\nAnswer: 107.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 9*d - 120. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 318\/(-27) - (-142)\/(-639).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s + 34. Let y be t(5). Let h be 2*((-124)\/(y + -3) - 2). Let l = h + -55. Let c(n) = -3*n - 4. Calculate c(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*s + 7*s. Suppose 3 = 3*f - s. Let a be 2\/(-12) + f\/(-6). Is -2\/7 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-7)*g)\/g)**23\/(g*g*g**(-2\/9))**(3\/2) assuming g is positive.\nAnswer: g**(544\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6941 - -6936. Let n be (-4)\/18 - (-47)\/9. What is the second biggest value in v, n, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/8 - (-831)\/(-36) and 1*(2 - (-195)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -17716330447.\nAnswer: 17716330448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-5)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*m, -5*f + 516 = m + 3*m + 521 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 204, 205, 206, 207, 208?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 10:18 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3*s - 4*h**2 + 44*s - 1 wrt h.\nAnswer: 9*h**2*s - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/10536 and 13\/8344.\nAnswer: 10989048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 9}. What is prob of picking 3 p and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 88 = -46*t - 253 - 157, 3*t + 21 = v for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(243\/(-252)) - 10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:04 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142861526.\nAnswer: 2, 131, 293, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102123716 by -8.\nAnswer: 25530929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 3:19 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/6 - 31*f**2\/6 + 385*f\/6 - 1025\/6 = 0 for f.\nAnswer: -41, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 14*s**3 + 5*s**3 + 5*s**3 - 14*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 260331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 3685848*f + 22115079\/2.\nAnswer: (f - 7371693)*(f - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 755505 by 6.\nAnswer: 251835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*x + 5*h, 2*x = 6*x - 3*h - 26. Suppose x*o = -7 + 52. Let j be 28\/6 + (-6)\/o. Solve 2*t = 4*v + 14, -j*t + 5 = -v + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehaaavvrvahahh. What is prob of picking 2 a?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1 + 3*l + 2*l**2 + 0*l - l**2. Let v be s(-5). Let w = -119 + 196. Calculate the greatest common divisor of w and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13976)\/(-5241)*((-1)\/(-2))\/((-2)\/78)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - 1030*f**5 - 2*f**3 - f**2 - 792?\nAnswer: -120*f**3 - 61800*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10041738 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 6. Let l be o(9). Let d be (-410)\/40 + 13 + 6\/(-8). Suppose -878 = -5*k + 18*q - 16*q, l*q + 360 = d*k. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 20*j - 16.\nAnswer: -4*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 5*y. Let t(v) = v**2 - v. Suppose 35 = -14*q + 7*q. Let j(g) = 4*g + 16. Let w be j(q). Calculate w*t(k) + x(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k*v**3 - 4152536*k*v**2 + 7123*k + 1865 wrt v.\nAnswer: 18*k*v**2 - 8305072*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 6*n - 2. Let a(p) = -p**3 + p - 1. Let q be (-92)\/22 - (0 + 12\/(-66)). Let s(m) = q*a(m) + f(m). Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 24*j**2 - 9193*j + 36379. Calculate g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6394 + -5.23914. Let d = f - -0.6. What is d rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.33 - 0.33. What is the nearest to i in 5, -0.3, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84627 is divided by 1943.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y - 6*y + y - 4*y + 4*y + (0 + 3 - 1)*(-4*y + 4*y - y) - 3*y + 2*y - y + 0*y - 6*y + 4*y)*(-1147 + 471 - y + 500 + 507).\nAnswer: 9*y**2 - 2979*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 9, h: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 2\/5, 2\/3 in descending order.\nAnswer: 2\/3, 2\/5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7457.845 to the nearest ten.\nAnswer: -7460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6497, 6952, 7407, 7862, 8317?\nAnswer: 8772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 39*j - 30. What is u(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21375, -21452, -21587, -21786, -22055, -22400, -22827?\nAnswer: -23342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -37061078.9 * 4\nAnswer: -148244315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 - 287 + 383 + 7071*n + 2*n - 4*n + 4*n + (2 + 3 - 6)*(6*n - 3*n - 4*n) to a + g*n and give g.\nAnswer: 7074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25116.\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = -3*q. Let m = 0.25 + 0.15. Let u = 3 - 4. What is the second biggest value in m, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 42*v - 40*v + 1518 = 0, -w + v = -378. Calculate the remainder when w is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*3*-6*-3)\/(sqrt(270)\/sqrt(5) - (sqrt(6) - sqrt(150))*3).\nAnswer: 18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k**2. Let v(h) = -8*h**2. Let y(m) = -6*t(m) - 17*v(m). Let p be (-16)\/(-7) - 6\/21. Let g(o) = p*o - o + 0*o. Determine g(y(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -604\/5 + 122. Let l = -911.29 + 936.29. What is the smallest value in b, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 600300967 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/304 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:53 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9 - 2b31?\nAnswer: -2bda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 4, 0.3, -0.4, -3, -2.\nAnswer: -3, -2, -0.4, 0.3, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + j. Let a(p) be the third derivative of -2*p**5\/15 - 5*p**4\/24 - p**3\/6 + 4*p**2. Determine a(m) + 6*n(m).\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.35488876 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c**2 + 261*c + 55. Is 36 a factor of q(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3\/8, 12, 0.08, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77.501 - -82.41. Let m = -0.091 - d. Which is the closest to -1\/2? (a) -0.3 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(684) + 0 + 2))**2.\nAnswer: 768*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 47445552.\nAnswer: 237227760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16669*x - 16669*x - 5*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/((n\/(n*n**(1\/3)\/n*n*n))\/n))\/((n\/(n*n**(-8)))\/((n*n\/(n**8\/n))\/n)))\/(n\/(n*n**(-7))*n\/((n\/(n\/(n**2*n*n))*n)\/n))**(2\/29) assuming n is positive.\nAnswer: n**(-1213\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/45? (a) 1 (b) 3 (c) -0.4 (d) -7\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 620912 - 21111011\/34. Let d = 3646\/5 - 433584\/595. Find the common denominator of d and r.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(((r\/r**(-2\/3))\/r)\/r)))\/r**(-4\/5))\/(r*r**(-1\/3)*r)**(-14)*r**2\/r**(4\/5)*(r\/((r**(-7)\/r)\/r))\/(r*r**(1\/4)\/r) assuming r is positive.\nAnswer: r**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -39369 * -1106\nAnswer: 43542114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -33 + 22 + y + 16. Let x be j(-5). Put x, 3, -3, -2 in increasing order.\nAnswer: -3, -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219.4137*3.\nAnswer: -658.2411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t**2 - 10*t + 4. Is s(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 38, 60, 82, 104?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:58 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h. Determine v(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*p - 3 - 2, 2*p + 2*y = -10. Let j(n) = n + n**2 - n**3 - n**2 + 5 - n**2. Let h be j(p). Solve -h*s + 6 = 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*w - 6 = -2*i + 122*w, 2*i = w + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b + 4. Determine r(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -44*u - 55. Let b(x) = -41*x - 48. Calculate 7*b(k) - 6*p(k).\nAnswer: -23*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 2*x**5 - x**3 + (0*x**3 + 0*x**3 - x**4)*(2*x - 1 + 1) - 20*x**5 + 37*x**5 - 189*x**5.\nAnswer: -176*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {y: 1, h: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - (-486)\/(-45)) + 10)*(-13 + -12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 37 + 31 = 4*a, 0 = -4*a + z + 44. Let h = 21 + -15. What is the lowest common multiple of a and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 3*v - 3*v = -16*v. Solve s + 5 - 7 = 0, v = c - 2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:03 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 - 0.5. What is the closest to y in 0.2, 0, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761496 is divided by 293572.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3.7. Let u = 2.4 - y. Let f = 0.03 + -4.03. Which is the second biggest value? (a) -3 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 times -0.4?\nAnswer: -133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/10 (b) 2\/96923 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5720 and 880.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*v - 36 = 114*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/4 + (7 - (-104)\/(-16)). What is the third derivative of 16*k**2 + 2*k**6 - 26*k**4 - 42*k**2 + 26*k**s wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - 123. Which is bigger: b or -29\/16?\nAnswer: -29\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 30*p**2 - 17*p + 8*p + 17*p**2.\nAnswer: 47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65412610.\nAnswer: 2, 5, 6541261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(2\/66). Let l = -9 - q. Is 7 a factor of 6\/l - (-2 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + o - 8, -10*m = -6*m + o - 11. Suppose -2*w + 8 = 2*d + 2, m*w = 4*d - 12. Put 3, w, -2 in descending order.\nAnswer: 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24860*u - 4*u**4 - 25140*u - 115*u**2 - 17*u**2 + 144*u**3.\nAnswer: -4*u*(u - 35)*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28954 + 540.\nAnswer: -28414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**7\/1260 + 7*f**6\/120 - f**5\/5 - 59*f**4\/8 - 112*f**2. Let n(t) be the second derivative of i(t). Differentiate n(d) wrt d.\nAnswer: 4*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 5*r. Let d(g) be the second derivative of -g**4\/4 - 5*g**3\/6 - 6*g. Let n(z) = 4*d(z) + 3*o(z). Find the second derivative of n(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6207*w**4 - 4*w**2 + w - 2*w**3 + 2*w**2 + 6206*w**4 to the form p + n*w**2 + r*w**4 + f*w**3 + m*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12326 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*q**3 - 6*q**2 - 3*q wrt q.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4467, -1, -4, 3, -5 in ascending order.\nAnswer: -4467, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3451 - -3455. Let g(o) be the third derivative of 1\/36*o**b + 5*o**2 + 0 + 1\/180*o**5 + 1\/18*o**3 + 0*o. Find t, given that g(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncncncccccccccc. Give prob of sequence ccc.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = 0, q + 13 = -4*g - 2. Let w be q\/(1 + -7 + 5). Solve 5*d + 4*z - 11 = 0, -19 = -5*d + w*z - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182861318 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*s + 1\/9*s**2 + 0.\nAnswer: s*(s - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1372475 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:36 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -8*n**7\/105 - 25*n**4\/24 + 6*n**2. Find the second derivative of t(l) wrt l.\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 65*f**3 - 6*f**2 - 36*f + 253. Let t be k(5). What is the greatest common factor of 64 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 18 = -5*t, t - 3*c = -7 - 3. Let s(g) = 7*g - 2. Give s(t).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u + 12*u**2 - 14*u + 2 - 15*u**2 + 9*u as c*u + h*u**2 + n and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.3767.\nAnswer: -0.7534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 74. Let p be 52\/((-18)\/3 + -3) - -6. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, y: 2}. Give prob of sequence yvy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16876 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 112. Let n(u) = 25*u**3 - 4*u**2 + 6*u - 2. What are the prime factors of n(p)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -932*g**6 - 1696*g**2 + 2317. Find the second derivative of j(r) wrt r.\nAnswer: -111840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) 0.1 (c) 552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m*r**3 + 409*m*r**2 - 167*m*r - 2*m + 1646316*r**3 + 5*r**2 wrt r?\nAnswer: -42*m + 9877896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966165.\nAnswer: 5, 461, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-8 - -6 - -4) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153580\/31 - 4955. What is the common denominator of c and 12\/11?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:21 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -162, -172, -174, -162, -130, -72?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21580 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(153)\/(sqrt(9)*-1))**2 + (-2*sqrt(153) - sqrt(17))).\nAnswer: -28*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 0. Let r = 3 - p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13139, 26277, 39415?\nAnswer: 52553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, z: 9, g: 4, e: 2}. Give prob of picking 1 z, 2 e, and 1 g.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 495423*r**4 + r**3 - 110599001 wrt r.\nAnswer: 1981692*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 1, b: 2, p: 2}. Give prob of sequence pbpc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55815*m**4 + 144*m**2 + 94006673*m?\nAnswer: -669780*m**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 16*r**2 - 7*r + 8. What is the lowest common multiple of s(15) and 14?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23130.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655813 is divided by 551933?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - 291. Solve 7*b - 2*b = 2*x + 18, 0 = 4*x + b - j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -25, -9.\nAnswer: -25, -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.4 + -8. Let d = 1.565 + o. Let a = 561.1 - 561.1. What is the third biggest value in d, 1, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 16.7?\nAnswer: 5.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - h**3 + 1 + 9*h**2 - 4*h + 0*h. List the prime factors of r(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**2. Let s(o) = 955025*o**2. What is s(b(t))?\nAnswer: 161399225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*z + 7 = -105, -17 = -h - 2*z. Factor h + 3*d**2 - 7 + 9 + 18*d.\nAnswer: 3*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (-183 + 197)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 941*l - 22621. What is m(24)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 5*v**5 - v**5 + 2*v**4 + v**5 - 2*v**4 + (0 - 3 + 2)*(-5*v**5 + 0*v**5 + 2*v**5) - v**5 + 3*v**5 - v**5.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/460)\/(1633\/(-115) + 13)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f, 11*v = 6*v - 3*f + 1317. Calculate the greatest common factor of v and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**2 + 3*i + 3. Let f(p) = -11*p**2 + 5 - 9*p + 24*p - 10*p. Let z be (-32)\/(-6) - 3\/9. Determine z*l(w) - 3*f(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (1 + 4 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8653477\/6 or 1442247?\nAnswer: 8653477\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c. Let p(i) = 2*i**2 + i. Give a(p(h)).\nAnswer: -26*h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, -0.5, 16, 2\/15, 0.4, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxlqz. Give prob of sequence zo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-100)*16\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 43. Let w = 16 + -16. Which is bigger: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*i + 22*i. Solve -2201*d + 2209*d - 16 = i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/((34\/(-12))\/(-17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*n**4*s + m*n + 40*m*s + 73*n*s**2 - 56*s**2 with respect to n.\nAnswer: -8*m*n**3*s + m + 73*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(4\/8*1). Let i = w + 13. Let s be (-2)\/((9\/i)\/6). Solve s*q - 6*q + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -500, -1660, -3908, -7604?\nAnswer: -13108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5598\/7 or 1\/6?\nAnswer: -5598\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 4*x**2\/5 - 6*x\/5.\nAnswer: 2*x*(x - 3)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -160, -165, -182, -217, -276, -365, -490, -657?\n\"Answer: -w**3 + 2*w - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - i + 3. Let u be h(0). Suppose -6 = 2*w - u*w. Solve 0*j - w = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*a - 40581 - 4677 = -799*a - 164*a for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8193 (base 16) in base 4?\nAnswer: -2320012103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*c - 41 - 59 = 0, 4*c = 3*k - 80. Let t = 211 + k. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -0.0824?\nAnswer: 5.9176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2013 divided by 4\nAnswer: -2013\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + 44 + -4 - (5 + 8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -678, -1787, -3410, -5547?\nAnswer: -8198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 505 + -504.783. Let t = d + -6.647. Round t to 1 dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = 2*d + 2*k, 3*d = d + 3*k + 435. Calculate the remainder when d is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28948.5 and -5.\nAnswer: -144742.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -500\/1753 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:44 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - (-39)\/9. Solve -2 = -p*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3511)\/(-1533) - (6 - 4). Let f = -1\/219 + h. Is 0 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 27*i**2 + 3*i + 4. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(1584) - (1 + sqrt(1584)))*-5*-5)*-1 + -2 + 4)**2*-3.\nAnswer: -2523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.6496 + 0.3504. What is the nearest to 1\/2 in 1, -2\/5, 7, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 5*p - 632. Let w be r(23). Solve 1940 = -7*l + w for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 5. Let d be (0 + (-2 - -7))*12\/(-20). Let s(b) = -7*b + 6. What is d*s(l) + 4*j(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5885397 seconds to nanoseconds.\nAnswer: 588539700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(84)\/sqrt(192))**2.\nAnswer: 3*sqrt(7)\/2 + 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 - 3*t - 3. Let m be p(-2). Suppose -5*w + 5 = -5. Suppose m*b - 185 = -w*b. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-24))\/(1\/(-3)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113172390 + 197261427. Let p = k - 84089082.99999924. Let h = -46 - p. Round h to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -23. Calculate the greatest common divisor of k and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -32*z**2 + 84*z + 497. Calculate p(12).\nAnswer: -3103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20a (base 16) to base 14\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 171. Suppose -5*u + 138 = 5*d + 358, 0 = 2*d - 2*u + 72. Let f = z + d. What is the remainder when 33 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1003331048.0000029 - 1003331117. Let s = -0.9 + 69.9. Let j = y + s. What is j rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10 - -13) + (16 - -1) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2838, -3845, -4838, -5811, -6758, -7673?\nAnswer: -8550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/4 of a microsecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 + 5275*w**3 + 85358*w**2 = 0. What is w?\nAnswer: -1742, -49\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043057318 to 6 dps.\nAnswer: -0.004306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -834 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 11)\/(-14))\/(7\/(-2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 + 1?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 7*b + 2. Let k be s(-4). Suppose 2*i - 6 = 2*a, a + 2*a + k = 4*i. Suppose -3*c = 2*r + 3, r - a*c = -c + 1. Solve -m - 2*m + 12 = r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*s + 9, 6*n + 5*s = 3*n - 6. Suppose n*f = 4*k + 60, f + 3*f = -4*k + 80. What is the units digit of (-66)\/(-8) - 5\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/25*-1 - -1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*f + 407, 88*m = 3*f + 90*m - 299. What is the highest common divisor of 16995 and f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1134 * 0.4.\nAnswer: 453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 48. Let m = -7 - p. Let s = m + 8. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 11\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 2*a + 21. Let h be w(-7). Let c = 69 + h. Let r = 45 + c. Solve 0 = 3*n - 11 + r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*z - 10*z - 2*z**2)*(-2 + 0 + 1) + 166*z**2 + 156*z**2 - 276*z**2 to the form m + a*z**2 + p*z and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -105, -62, 53, 276, 643, 1190, 1953?\n\"Answer: 6*i**3 + i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 - c**2)*(-4 - 2 + 1) - 3 + 2*c**2 + 3 - 3*c**2 - c**2 + 2*c**2 + 0*c**2 - 2*c**2 + c**2 + (c**2 - c**2 + 2*c**2)*(6 - 2 - 2).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -3*b, -4*q + 13 = b + 2. Let 5*o**3 + 1598*o - 113*o**q - 8640 - 2*o**2 + 562*o - 65*o**2 = 0. What is o?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 1640. Is p(0) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113\/6, 0, 0.1 in increasing order.\nAnswer: -113\/6, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12921313, -25842632, -38763951, -51685270, -64606589?\nAnswer: -77527908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3631*d = 3637*d - 456. Solve d*p + 344 = -36 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 + 2*v - 18. Let a(y) be the first derivative of x(y). Let j(i) = -45*i**2. Calculate j(a(t)).\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 7*o**2 + 5*o. What is h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/11)*r)**(-2)\/(r**12)**(-29) assuming r is positive.\nAnswer: r**(3794\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 2, -45, -27\/8, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, 0, -5, -470 in decreasing order.\nAnswer: 5, 4, 1, 0, -5, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -3\/2, -1\/3, -2, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 35*l - 48 + 176 - 63 - l**2 as g*l + d + b*l**2 and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**29\/m*m**(2\/3) assuming m is positive.\nAnswer: m**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 1\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011100101110101101 - -1?\nAnswer: -101011100101110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:11 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:47 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*o. Suppose -k - 2 = -2*k, -3*m + o*k = -116. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2*b - 3. Let y be v(6). Let j = 32 - y. Suppose k - 5 = -h, 3*h - 3*k = -2*h + 17. What is the remainder when j is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 89698\nAnswer: -15\/89698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3549138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58571\/8561 - 19\/1223. Which is smaller: -2\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7717*a*i**2 - 22*a*i - 112368045*a + 3*i**2 + 3*i wrt i.\nAnswer: 15434*a*i - 22*a + 6*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -302682*f**3 - 208157 wrt f.\nAnswer: -908046*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*t + 106*t + 644 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162282183?\nAnswer: 3, 7, 739, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111715 is divided by 2940.\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, 1278?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 < 788\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765, 880, 995, 1110?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6 - 4 = 0, -5*g = 2*q + 85. Let s = 35 + g. Let u(z) = 13*z - 1. Calculate the remainder when u(3) is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 4975008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 6*m**2 - 7*m + m + (-3 + 3 + 2*m)*(m - 5*m + 3*m) to the form q + d*m**2 + x*m and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (353\/(-14) - 345\/(-1610))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2480 = -5*m + 190, -3*z = 3*m - 2298. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m + m. Let r(i) = -10 - 8*i**m + 10. Let d(c) be the third derivative of -7*c**5\/60 - c**2 + 21*c + 1. Calculate 5*d(u) - 4*r(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.836 + 9.336. Which is the third smallest value? (a) -2\/3 (b) -547\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -814 or -98?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-12))\/(2\/48). Suppose 5*s + 5*d - 45 = 0, 4*d + a = 4*s + 6. Find the third derivative of -l**2 - l**3 - 3*l**2 + s*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*y - 285*y + 75*y + 78*y + 71*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025474179 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 180 = 13*z. Suppose -i - i = 0. Suppose -4*y + y + d + 62 = 0, i = -y + 5*d + z. What is the greatest common factor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67\/4? (a) 112 (b) 2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by 264539.\nAnswer: 111\/264539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - q = -4, 2 + 4 = 2*q. Let l = 6 + f. Suppose -280 + 45 = -l*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-32))\/((-3)\/2). Which is the closest to -1? (a) 0.4 (b) n (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 13*l + 42. Let u be d(7). Let z(t) = -t + 11 + 0 + 0*t. What is the least common multiple of z(u) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -483*i - 1583. List the prime factors of s(-25).\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76440073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 1.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-15)\/(-6)))\/((-198)\/55).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/2 - 1038399*z**3\/2 - 84084075*z**2 - 4540067658*z - 81716966316.\nAnswer: -3*(z + 54)**3*(z + 345971)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2706124166 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -36*q**3 + 3*q + 11. Is w(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1232720 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224837?\nAnswer: 29, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121492 divided by 60746.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 2. What is the remainder when c(-1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 38.03101\nAnswer: -37.83101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 2*v - 2*v. Let t(q) = -5*q. What is t(i(h))?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m - m**3 + 2*m**2 + 0*m**3 + 7*m - 2. Let k be o(2). Suppose -12 = -4*s - 0*t + 4*t, -t = k. Which is the smallest value? (a) 5 (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0 + 2. Suppose -437 = -5*j - 4*i, -2*j + 191 = c*i + 15. Suppose -z - 10 + j = 0. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 29484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32227875.\nAnswer: 3, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, t: 7, k: 4}. What is prob of picking 1 h and 2 t?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 32*c**2 + 60100*c - 60100*c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r. Suppose 4*b - 4 - 12 = r. Let d = 8 - 4. Solve -d*p = -12 - b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/31878 and 157\/19734.\nAnswer: 414414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/(1\/(-5)). Let i be 360\/(-35) + 2\/7. Let a be (0 - 1) + (-9 - i). Solve a*r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + s**2 - s**2 + (0 + 0 - 2*s**2)*(5 - 1 + 0) + 22*s**2 + 48*s**2 - 23*s**2 as h*s**2 + c + q*s and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.09 (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -23*k + 441. Let j(v) = -11*v + 220. Let q(o) = -9*j(o) + 4*x(o). What is the remainder when 107 is divided by q(34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100111 (base 2) to base 5\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 10031243?\nAnswer: 10031333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-2)\/24). Suppose -5*o - x = -5*d + 7, 0 = -d + 5. Solve -4*z - 2 = -z - o*f, 3*z - 3 = 3*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o + 17. Determine h(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1241 + 1352 + 1577 = -59*y + 689 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2422 (base 5) to base 13.\nAnswer: -21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2298*y + 2251*y + 6500 = 4497*y for y.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76633\/7208 + -6\/901. Calculate the common denominator of c and 2 - (-1)\/22*59.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y + 3*r + 10, 0 = y - r + 5. Let x(n) = n**2 + 6*n + 5. Let o be x(y). Let v(u) = -u**3 + u**2 + 4. What is v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6993391, -13986750, -20980109, -27973468, -34966827, -41960186?\n\"Answer: -6993359*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 2*m - 32 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - l**2 - 5*l**2)*(-19*l**2 + 9*l**2 + 5*l**2)*(0*l - 2*l + l).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 - 1973 = -169*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4) - -1)*-28. What is the common denominator of 4\/3*(-3154)\/912 and x\/32 + (2 - 1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 - 283 - (-5 + -230).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 7*k + 2. Let d(x) = -x + 1. Suppose -1 = 3*a - 4*a. Let l(p) = a*q(p) - 3*d(p). Calculate l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580*-23002.\nAnswer: 13341160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 8*s - 96 = -22*s. Solve -2*p = -4*l - 10, -3*l = s*p - 5*l - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 9 + 48 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8002 + 1849 - 4284 = 0. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92287898*g**2*r - 19374*g**2 - 2*r**3 + 2879 wrt r?\nAnswer: 92287898*g**2 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 8 + 1 + 1 - 7. Suppose 3*f = -0*f - 15. Give m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Let q = 2 + v. Suppose 0 = -0*d + d + q. Let w(u) = -u**3 - 5*u**2 + 5*u - 5. Give w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*1\/2 - (-14)\/1. Let i(s) = s**2 - 12*s - 6. Let o be i(10). Let p = -2 - o. Calculate the highest common divisor of x and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t = -5*g - 204, 62075 = 5*t - 2*g + 62118 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/120 - 2*p**5\/5 - 162*p**2. Factor m(c).\nAnswer: c**2*(c - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*z + 2*l, -676 = 5*z - 33*l + 36*l - 707 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 14*u + 331. Is r(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 - 2*z + 2*z - 309*z**2.\nAnswer: -292*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005009224 rounded to seven decimal places?\nAnswer: -0.0000501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1478290 divided by 1510.\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 6*r + 2 + 0*r - 4*r to f*r + y + k*r**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -418?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1629 + 1617. Let q(c) = -c**2 - 12*c - 18. Determine q(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -31 - 41. Let v(m) = -m**3 - 15*m + 6. Let l(t) = -2*t**3 - 29*t + 11. Calculate q*l(s) + 11*v(s).\nAnswer: s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let g(z) = 2*z. Let w(d) = 4*g(d) + 7*l(d). Let a(u) = -2*u**2 - 3*u - 3. Let k(q) = -a(q) - 3*w(q). Differentiate k(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15 + ((-22032)\/2610)\/(-51).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*z + 12558 = 268*z. Calculate the remainder when z is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + 47?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 44 = 2*g, -6*w + 144 = 5*g - 2*w. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1928820 and 366.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 818 = -4*a, -5*d + 4*a = 5*a - 833. Suppose 3*t - d = 4*p, 0*t - t + 3*p = -62. Is 49 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -408343*w + 114916 wrt w.\nAnswer: -408343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68, 133, 198, 263?\n\"Answer: 65*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-12) - (-10)\/(-4). Let w be (-37)\/z + 10\/(-30). Let s be 3 - 5\/(10\/(-186)). What is the greatest common factor of s and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 484 + -484. Which is bigger: p or 7\/92?\nAnswer: 7\/92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1115 + 1120. What is the nearest to -0.11 in p, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -20*t - 69. Suppose -58 = -21*u + t*u. Let j = u - -74. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136 times 2?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -9.9. Which is the third biggest value? (a) u (b) 4 (c) -4\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6949 + -5987. What is the greatest common factor of 296 and z?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 4*f - 4. Let y = 18 + -19. Let n(h) be the second derivative of h**4\/12 - h**3\/6 - h**2\/2 + h. Give y*c(i) + 4*n(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 - 3*o**2 - 18*o + 2. Let u(k) = -10*k**3 + 7*k**2 + 34*k - 4. Calculate -7*a(y) - 3*u(y).\nAnswer: -5*y**3 + 24*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 8\/6) + (-2)\/(-6). Let a(w) = -3*w**3 + 4*w**2 - w. Let n be a(l). Let d be (1 + 1)\/2 + 5. What is the highest common divisor of d and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 25. Let x(s) = -s**2 + 6*s + 4. Let w be x(6). Suppose 0*v + 8 = w*v + 4*q, 0 = -5*v + 5*q - 10. Sort -2, v, d in descending order.\nAnswer: d, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 757\/7. Let u = -25 + 53\/2. Let q = 20935.5 - 20936. Which is the fourth smallest value? (a) u (b) q (c) t (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3bab (base 12) to base 15\nAnswer: -209e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let j = 1.3 - r. Let l = -349 + 356. Are l and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 129. What are the prime factors of 2\/m*909*2?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23254095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-3 - -1)*-1. Let t be 7\/5 - x\/5. Let g = t - -12. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/27852 and 82\/1121043.\nAnswer: 4484172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 1330?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 137928*l - 1189008324.\nAnswer: -4*(l - 17241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from dddxxxdzdddxdzdddzdd.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664230701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 + 3)*(4 - 4 - i + i + 4*i - 3*i + (-1 + 0 - 2)*(2*i - 5*i + i)) + 0 + 0 + i.\nAnswer: 78*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + n**2 + 12 - 14*n**3 + 5 + (-4*n**2 - 4*n**2 - n**2)*(-2*n + 0 + 0).\nAnswer: 4*n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:47 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/83 - -160\/249. Which is the biggest value? (a) 0 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/120 + k**5\/60 + k**4\/24 - k**3\/3 - k**2\/2 + 7*k. Let b(v) be the first derivative of y(v). Determine b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17999437, 17999450, 17999463?\nAnswer: 17999476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115144\/212829 - 108\/1163. Let l = -354 + 21592\/61. Let b = l + s. What is the closest to 4 in -1, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 2*j - 2 - 4*j**2 + 2 as t + d*j + l*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 892468183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = -45. Let r = -12 - f. Is 15 a factor of r + 36\/2 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 969a6a (base 11) to base 5\nAnswer: 344104240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z - 1. Let a(f) be the third derivative of f**6\/180 - 49*f**3\/3 + 79*f**2. Let q(n) be the first derivative of a(n). Give j(q(l)).\nAnswer: -14*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 8, -31, -98, -193?\n\"Answer: -14*v**2 + 31*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 538269\/44 - 12234. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 7:26 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890b9 (base 12) in base 15?\nAnswer: 183aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1526 > -1524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 6. Give s(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 10*t**2 + 18*t + 24. Let c(m) = -2*m**3 - 3*m**2 - 6*m - 8. Suppose -3*x + 8*x = 15. Let q(k) = x*y(k) + 8*c(k). What is q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a + 29*a + 3 - 12*a. Let t = 0 + -3. Let h(w) = 0 + 0 - 1. What is t*h(v) - p(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -z - 2*n, 0*z + 5*z - 4*n = 135. What is the smallest common multiple of z\/5 - 2\/(-5) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*r**2\/5 + 11216*r\/5 + 285512\/5.\nAnswer: 2*(r + 178)*(27*r + 802)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21*z + 364. Determine o(-9).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -70. What is the nearest to -1 in 5, f, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303200525 divided by -1075?\nAnswer: -282047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from ggsgoogmgszrz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/42)\/((-12)\/42).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -848 divided by -424\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1529 - 1525 - 9*z + 3062)*(3 - 23*z + z**2 + 21*z - 1) in the form q*z**3 + m*z + h + x*z**2 and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {r: 9, d: 1, u: 5, n: 2, v: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1388*b + 8330. Calculate o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/40)\/((-2)\/(-6)). Let x = -5 + 4.7. Let r = 5.3 + x. Which is the second biggest value? (a) l (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*o - 625*o - 127 = -1422*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 3 + 3 + (-a**5 + a**5 - 2*a**5)*(-1 + 0 - 1) + 4*a**5 - 7*a**5 - 5*a**5.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 552 + -121. Let m = l - 2154\/5. Determine p so that m*p**3 - 2\/5*p**2 + 0*p + 0 + 1\/5*p**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 437*f - 11332. Let j be g(26). What is the highest common factor of j and 4555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11685117.\nAnswer: 3, 3895039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/(o**(-1\/16)\/o))\/o))*o)\/o**2 assuming o is positive.\nAnswer: o**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2134*k**2*w**3 + 2*k**2*w + 11*k*w**2 + 42*w**3 + 63*w**2 wrt w?\nAnswer: 12804*k**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 150\/17 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46227 divided by -15409.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 55 + 5 + -94?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2884*k + 6851. What is the thousands digit of s(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {b: 7, x: 3, l: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-316*t - 8 + 4 + 302*t)*(-3*t**3 + 3*t**3 - t**4).\nAnswer: 14*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 345654431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 40. What is the least common multiple of u and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f + 40 = 91*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -0*v. Is -2\/3 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234*s**2 + 486*s**2 - 224*s**2)*(2*s + 2*s - 3*s) + (-14 + 6 - 10)*(2*s**3 - 1 + 1).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = 0. Let s = 18 + b. Let i = -13 + s. Solve -h = 3*n - 3, 2*h - 3 = -i*n + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4294 - 373?\nAnswer: 3a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {b: 4, e: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1959, -7792, -17513, -31122, -48619, -70004, -95277?\nAnswer: -124438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19655178376.0000487 - 19655179285. Let u = 909 + k. Round u to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00864188607 to four dps.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 1, r: 1, k: 1, b: 3, l: 2}. Give prob of sequence bzrx.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z + 4. Let h = -376 + 380. What is the units digit of m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55530802, -55530803, -55530804, -55530805, -55530806, -55530807?\nAnswer: -55530808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 79 - 182 + 8*f - 8*f in the form a*f**2 + l + s*f + u*f**3 and give l.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/15 - (-43)\/15. Suppose 4*l - u*l = 66. Let r(d) = 7*d - 116. What is the remainder when l is divided by r(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33 + 85 - 22 - 30 - 4582*v**2 + 2998*v**3 wrt v.\nAnswer: 17988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26968 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 10, w: 8, o: 1}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8370, -1727, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1476610 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27277350 divided by -9571?\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2770936, -2771029, -2771184, -2771401?\nAnswer: -2771680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x + 4*x**2 - x**3 - 3*x - 2*x**2 - x to t + i*x**2 + z*x**3 + n*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 6*n + 6. Let g be z(-6). Suppose g*u + 72 = -138. Let f = u + 67. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 82, 112, 158, 226, 322, 452, 622?\n\"Answer: k**3 - k**2 + 16*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43629 by 1.\nAnswer: 43629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1791, 2\/7, 2\/3, -2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - (-4 + -2 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66 - 4?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t + 2. Let p(v) = -13*v + 2. Calculate 3*j(r) - 4*p(r).\nAnswer: 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/43 > 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 0 = -s - 3, 3*p = -5*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-1350)*(-2142)\/28?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.86. Let q = -0.32 - i. Let p = 0.16 + q. What is the smallest value in p, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 8 - 5)*(25*s + 15*s + 23*s) + (s - 3*s + 3*s)*(-1 - 2 + 5) - s + 0*s + 3*s.\nAnswer: 1516*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 164311.101483 from 1314.\nAnswer: -162997.101483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -24*x**2 + 0 - 1\/6*x**6 + 0*x**3 + 0*x + 0*x**5 + 13\/12*x**4. What is the second derivative of o(w) wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 17 + (-2 - 23).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 34 = 6*c, u = -46*c + 51*c - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376304?\nAnswer: 2, 29, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -161, -2, -4.\nAnswer: -161, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6 + 4 - 3 - 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 - 80*b**2 - 6*b**3 + 52*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) - -2*sqrt(88)))\/(sqrt(1960)\/sqrt(5)) + (sqrt(176)\/sqrt(144))\/(sqrt(16)\/(sqrt(16)\/sqrt(4) + sqrt(4))).\nAnswer: 16*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 at most 1\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, 4, 1872\/11, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.9 - 84.1. Let m = 143 + r. What is the second biggest value in -2\/7, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299130.8 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 20*d - 42. Let o be w(2). Let p(k) be the first derivative of -349\/4*k**3 - 255\/8*k**4 + 5 - 153\/2*k**o - 15\/4*k**5 - 27*k. Factor p(t).\nAnswer: -3*(t + 3)**2*(5*t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1780 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40857 <= 40856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from yynllqzv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:16 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2120305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - o**2 + 0*o + (19 - 4 - 6)*(5*o - o - o)*(-168*o + 17*o + 17*o).\nAnswer: -3619*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108294 (base 14) to base 2.\nAnswer: 10001000110010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 16) + -10 + 19\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(72) + -1 + sqrt(72) + (sqrt(108)*-4 - sqrt(108) - sqrt(108))\/sqrt(6)).\nAnswer: -30*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 7*s + 4 - 2)*(5*s**2 + 0*s**2 - s**2)*(23*s - 3714 + 3714) to r*s + n*s**4 + p*s**3 + a + q*s**2 and give n.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128033a (base 14) to base 2.\nAnswer: -100010000000000100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*a - 3*a + 14 = 0, 33 = -4*b - 5*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 252 = -n, -4*f = -4*n + 928. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/60 + 5*p**4\/24 - p**3 - 3*p**2. Suppose w - 26 = -2*n, -4*w - 3*n = -33 - 51. Suppose -2*x + 6 - w = 0. Give b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1011202?\nAnswer: -1011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 141277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9674*x - 9682*x + 16 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpqjjvjjvjjvvvvjpqv. What is prob of sequence jq?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -6. Let u = z - 32.9. Which is smaller: -17 or u?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, -71 in descending order.\nAnswer: 2, -1, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {x: 4, w: 7, r: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-3))\/(6\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/653397 and 101\/39234?\nAnswer: 16988322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 2*f - 15*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 11 = 3*c + 13, -w = -2*c + 12. Let p = 15 - w. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -523*p**4\/4 - 682*p + 136. Find the first derivative of r(i) wrt i.\nAnswer: -1569*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*w - 2120 = 5*t, 2*t + 2*w + 1062 = 0. Let a(h) = 159*h - 4. Let l be a(7). Let d = t + l. Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 72 = 24*w. Let t be (-33 + w)*((-2)\/6 - 0). Solve -2*o + 2*g = -2, 0*o - t*g = 5*o + 45 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 2*q - 4*q + (2*q + 2*q - 3*q)*(2 - 2 + 1) + (-28144*q + 70 + 56351*q - 28166*q)*(5 - 3 - 1).\nAnswer: 41*q + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52b03 (base 16) in base 2?\nAnswer: 1010010101100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 1515*b - 65393. Let f be m(42). Factor 1\/4*a**2 + a + f.\nAnswer: (a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606, 1210, 1814, 2418, 3022?\nAnswer: 3626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10419, -10294, -10077, -9768, -9367, -8874, -8289?\nAnswer: -7612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/6*(-4)\/(-3). Suppose 0*k = -3*k + 12. Suppose b*a - 51 = -3*c, k*a + 76 = 2*c + 26. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t - 40. Let z(n) be the second derivative of n**5\/20 - 2*n**4\/3 + 2*n**3\/3 - 9*n**2 - 14*n. Is z(t) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -22708 + -0.5.\nAnswer: -22708.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2*m**3 - i**2*m**2 + 4*i**2 - 5329*m**3 - 6884*m wrt m?\nAnswer: 18*i**2*m - 2*i**2 - 31974*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 51, 1\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -104215, 6 in descending order.\nAnswer: 6, -2, -4, -104215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 0 - (36 + -60)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.1368 - 2.8646. Let p = x - -12. What is p rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m - 10. Let k(u) = -u + 1. Let i(t) = h(t) + 12*k(t). Let r be i(2). What is the second derivative of 0*l - l - 33*l**3 - 8*l - r*l wrt l?\nAnswer: -198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19270811 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 2*g**2 - 6*g + 14. What is the least common multiple of 22 and z(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 70672.8t?\nAnswer: 70672800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 114*v - 2065. Let c be w(17). Which is smaller: -131 or c?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -20 + 68 - 16) + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 3*q**2 + 5*q - 12. Determine c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45691 divided by 1068?\nAnswer: -45691\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-27)\/(-6) - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 12. Let d(b) = 2*b + 12. Let t(q) = 4*d(q) - 5*w(q). Let y be t(-9). Let j be 24\/(-28)*(-1 - y). Solve -p - 4 = 0, j = 2*x + 4*p + 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 - 89 + 2*s + 92 - 2*s**3 + 2*s**3 in the form t*s**2 + h*s**4 + c*s + a + p*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3361 + 673 = -28*u. Calculate the remainder when 315 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.402 * 4\nAnswer: 1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -6, -2199, -544 in decreasing order.\nAnswer: 7, -6, -544, -2199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103079 (base 13) in base 11?\nAnswer: 238a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**18\/(g\/(g*g**(-27\/4))) assuming g is positive.\nAnswer: g**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 58?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12183 - 12180. What is the closest to g in 2, 373, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456402 * 16\nAnswer: -7302432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*p - 9 - 2, -u - p = -5. Let r = 254 + -252. Suppose -r = -3*o + u*o. Solve -o*k - 2*k = -5*g - 20, 0 = -2*k + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7023920.\nAnswer: 2, 5, 19, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1 - 9*c + 6*c + 5 - 1. Suppose -13 = -n - 4*f, -5 = 4*n + 3*f - 6*f. Suppose -m + 2*q + 2*q = 10, m - q + n = 0. Determine o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n. Let l be s(2). Suppose 2*p + 3 + 27 = 0. Let x = l - p. Solve 7 + x = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 403, 1318, 3081, 5974, 10279, 16278, 24253?\nAnswer: 34486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1137, 1461, 2019, 2811, 3837?\n\"Answer: 117*m**2 - 27*m + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 30*x = 1709 - 2203 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77057 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:34 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 472493\/60662 + 4\/(-14). Let o = 5774 + -3574104\/619. Let m = o - f. Calculate the common denominator of 23\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 3*q + 1. Let d be i(2). Let u = 7 - d. Suppose -u*c + 85 = 3*m, 4*c + 8 - 62 = -2*m. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q**(2\/15)*q**(-2\/11)\/(q\/q**4*q))\/(((q\/q**(1\/2)*q)\/((q\/q**(2\/7)*q)\/q))\/(q*q*q**1)**7) assuming q is positive.\nAnswer: q**(53513\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427357 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.37964 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -20*m**3 - 18*m**2 - 20*m + 26. Let u(x) = 7*x**3 + 6*x**2 + 7*x - 9. Give -5*f(v) - 14*u(v).\nAnswer: 2*v**3 + 6*v**2 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13941.\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/9, 13, -3, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 + (-22300)\/270)*189?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*c**3 - 1728*c**3 + 182*c**3)*(c + c + c).\nAnswer: -5178*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 87 - 19*h in the form c + r*h and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (7 + (-3 - (15 + -12)) - -6).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x + 9. Let w be h(-1). Let k(q) = 10*q**3 - 3*q**2 - 3*q + 3. Let s(a) = -11*a**3 + 2*a**2 + 2*a - 2. Give w*k(l) - 3*s(l).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.52 + 0.08. Let w = 0.781229 - 0.181196. Let b = w - a. Round b to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-36)\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10010011011101000100 (base 2) to base 13\nAnswer: 181ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -132. Let z = v + 40. Which is smaller: z or 4\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 211, 0, 3 in descending order.\nAnswer: 211, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/9 - 16*r**3\/3 + 36*r**2 - 96*r + 90.\nAnswer: 2*(r - 15)*(r - 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(243) + sqrt(243) + sqrt(243)*-2 + 3 - (-6*sqrt(243) + 2))*-4)**2.\nAnswer: -279968 - 3456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 132 = 0. Suppose 4*o = 50 + v. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5299672 divided by 4?\nAnswer: -1324918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2 - (-2 + 3). Let m(w) = -w**3 - 10*w**2 - 11*w - 16. Let l be m(-9). What is the first derivative of l*x - 4*x + h + 4*x + 0*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*f + 2, -8 = -2*h - 0*f + 2*f. Let b(n) be the second derivative of 2\/3*n**3 + n + 7\/10*n**5 + 0 - 3\/2*n**4 + 0*n**h. Factor b(l).\nAnswer: 2*l*(l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958484644 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(2))\/sqrt(3) + 4*(sqrt(13) + (sqrt(78)\/sqrt(6) - sqrt(13))) + ((sqrt(13) - -2*sqrt(13))*3 + sqrt(208) + -1)**2.\nAnswer: -21*sqrt(13) + 2198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by 49068?\nAnswer: -37\/16356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-10) + 9\/(-6). Suppose t*j + 3*j - 129 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649695040 divided by 694.\nAnswer: 936160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169509 and 0.5.\nAnswer: -84754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 4*q**2 - 922 + 514.\nAnswer: -4*q**2 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31801504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.6. Let u = 0.6 - g. Let n = u - -4.8. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 5*l**2 + l - 3. Let v be (0 - (-2 - -4)) + 4. Suppose 0 = -v*z + z + 4. Does 17 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/724914 and 51\/10.\nAnswer: 3624570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12834530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2. Suppose -k - 2*a + 10 = 0, -4*a + 3*a - 5 = -2*k. Let j(z) = 0*z + k*z - 3*z - 4*z. What is j(m(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 53*h**2 - 183*h + 12. What is v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -16 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -782 + 550. Let i = 133 + y. Let b = i - -98.902. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 9. Let h = -6 - u. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259754 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004188350724 to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-4) + -2*(-9)\/(-12). Solve 2*b - 7*b = -5*q - 5, -d*q + b = 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 - 32*x\/11 - 56\/11.\nAnswer: -2*(x + 2)*(x + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)\/((-2 - -1)\/1). Let n(i) = g*i**2 + i**2 - 8*i - 23 + 24. What is n(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -14*i + 120. Suppose i*g - 5211 = 3*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 3, -367, 0, -1 in ascending order.\nAnswer: -367, -1, 0, 3, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 765426403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 25*v**2 + 66*v - 324. Let n be f(27). Solve n = 4*w + 40*w - 308 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08218842206 minus -0.06?\nAnswer: 0.14218842206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -201, 1812, 5169, 9876, 15939, 23364?\n\"Answer: l**3 + 666*l**2 + 8*l - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2863687 micrometers in meters?\nAnswer: 0.0000002863687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -80, -171, -290, -431, -588?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -140\/3*t**3 - 38 - 46*t - 1\/2*t**2. Find the first derivative of n(u) wrt u.\nAnswer: -280*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 + 2*n. Suppose -13 = -2*u + q, 0 = -0*q + 3*q + 3. Suppose 2*v = u*v - 12. Let j(k) = -86*k + v - 3 + 85*k. Calculate j(o(w)).\nAnswer: -7*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87757 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - r**3 + r**3 + (-2 - 1 + 2)*(r**4 + 2 - 2) + (-2*r + 2*r - 3*r)*(7*r**3 - 3*r**3 + 0*r**3).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2478 by 7.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.1 - 27. Let q be -3 - 2\/10*-16. What is the third smallest value in q, c, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Calculate k(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y - 5*y - y**3 + (1 + 0 - 2)*(y + 7 - 7 - 17*y**3) to q*y**2 + p*y + r + z*y**3 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 172? (a) -3\/7 (b) -3\/157 (c) 0.3 (d) 4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*m - 2*m. Sort m, 0, -4.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.91 + 9.153. Let u = 0.857 + q. Let v = 0.9 - 1.8. What is the nearest to v in 3\/2, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a factor of 62764296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57904169 and 1852?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 228, 454, 682, 912, 1144, 1378?\n\"Answer: f**2 + 223*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.8. Let p = f + -3.2. Let c = 2 + p. Is c bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17101 and 255206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-18))\/(6\/9). Let o be ((-3)\/2)\/((-2)\/(-4)). What is the closest to l in 1\/5, o, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/8*v**4 + 0*v**3 + 0 - 7*v + 57\/8*v**2 = 0. What is v?\nAnswer: -8, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 11. Let d = p - 5. Suppose -c = d*c. Solve 3*u + 2*u = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -354, -1251, -3012, -5925, -10278, -16359?\nAnswer: -24456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 544 + -549.65. Let f = h + 5.419. Round f to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**2 + 4*f**2 - 5*f**2 + (-3*f**2 + 2*f**2 - f**2)*(-3 + 3 + 4).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 0 - (123 - 103).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20334370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205114726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 78. Let z be -65*30\/(-75) + 3. Let m = a - z. Solve u + 5 = m*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 6, z: 5}. What is prob of sequence zzzb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291517 = 16*b - 25373. Let y = 1869 - b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h + 12*h + 9*h + 9*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 n when four letters picked without replacement from {v: 8, n: 11, f: 1}?\nAnswer: 616\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - a1?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18917 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 14*z**2 + 11*z + 56. Let r be i(13). Let f(c) = -c**3 + 5*c**2 + 4*c - 1. Let x be f(4). Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*b + 6*q + 16, 17 = -3*b + q. Let c be 2*(-4 - -3) - (b - 2). Solve z - 32 = 4*y + 4*z, -5*y + c*z = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2. Let j(s) = 140*s + 471. Give j(w(l)).\nAnswer: 280*l**2 + 471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.066 in 0.59, 1, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47382180 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175555656 + -122503301. Let f = t - 53052427.000058. Let d = 72 + f. Round d to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -2*f**6\/15 + 3*f**5\/20 + f**4\/12 - 5*f. Factor o(k).\nAnswer: -k**2*(k - 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519794651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40067808*h**5 + 158*h**2 + 1743*h - 56?\nAnswer: 2404068480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -92?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34491354 to the power of 1\/2, to the nearest integer?\nAnswer: 5873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(700)))**2 + sqrt(56)\/sqrt(128) + -1.\nAnswer: -3839*sqrt(7)\/4 + 11343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6684)\/(-21) - ((-2)\/1 + 4). Let u = 317 - a. Calculate the common denominator of u and -91\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -134, -129, -106, -53, 42, 191, 406, 699?\n\"Answer: 2*y**3 - 3*y**2 - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 + 40*v**2 + 15*v + 61. Let w be o(-13). What is the greatest common factor of 17395 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/3)\/s*s)**(3\/28)*(((s*s\/(s*(s\/(s\/s**(-1\/4)))\/s*s))\/s)\/s)\/(s*s\/(s*s\/s**(3\/7))))**42 assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 2*w + 4*w**2 + 6*w**2 + 2*w**2 + 0*w to the form b + u*w + t*w**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = -3. Suppose 0*d = 4*d - 40. Let i = d + n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9\/2)\/u)**(9\/5))**(-14) assuming u is positive.\nAnswer: u**(693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -554576487\/2350 - -235990. What is the common denominator of y and 37\/16?\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 907 - 1468. Let w = h + 563. What is the third biggest value in 0.4, w, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 8, -11, -5 in decreasing order.\nAnswer: 8, 5, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0482097l to millilitres.\nAnswer: 48.2097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -78 + (-18 - -80)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 5*r + 19 - 7, -x - r - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000301 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(5\/(135\/144)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let r be w(-2). Suppose r*l - 9*l + 75 = 0. Solve 7*t + l = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15.744?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/9, 0.06, 2\/3367 in increasing order.\nAnswer: -0.5, -2\/9, 2\/3367, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-12 - -22)) + -22 + 35 + (-111 - 0)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.157 - 0.343. What is the fourth biggest value in z, -2, -1\/95, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.191456?\nAnswer: -0.574368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2301751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**4 + p**4 + 0*p**4)*(-4 + 0 + 0).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1169)\/(-5) + 616\/(-70) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 432272?\nAnswer: 5619536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 + 9*z**2 + 18*z + 27. Let n(i) = -3*i**3 - 4*i**2 - 9*i - 14. Let x(b) = 7*n(b) + 4*w(b). What is the least common multiple of 24 and x(9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.96475 + -1381.76225. Let z = 1386 + c. Let a = z + 0.67. What is a rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 3*v**2 - 12*v**2 - v**4 - v**2 + 96*v**3 - 3*v - 101*v**3 - 11 to the form y*v**2 + b*v**4 + x*v**3 + w + s*v and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*3 - sqrt(143))*-4 - sqrt(143))\/(sqrt(1331)*-1).\nAnswer: 9*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {e: 1, u: 5, s: 1, v: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2 - 2)*(0*q**2 - 3*q**2 + 4*q**2)*(5 + 249 + 433).\nAnswer: 2061*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 5*b**8\/336 + 13*b**7\/21 + 61*b**6\/8 - 55*b**5\/6 - 3875*b**4\/6 + 2500*b**3 - 4*b**2 + 17*b. Factor r(m).\nAnswer: 5*(m - 3)*(m - 1)*(m + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 1, -3, -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/7)\/y*(y*y*y*(y**(1\/3)\/y)\/y)\/y*y*y**(-4)*y\/(y*y**(-1)) assuming y is positive.\nAnswer: y**(-47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -35*b - 250 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 3*p**3 - 1 + 0*p**2 + (2*p**2 + 1 - 1)*(4*p - 2*p - 3*p) + 38*p**3 + 130*p**2 - 130*p**2.\nAnswer: 39*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3744622 is divided by 353.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o**3 + 4*o**2 + 5*o. Let r(s) = -s**3 - s + 1. Let x(g) = -i(g) - 6*r(g). Let b(n) = 17*n**3 + 11*n**2 - 3*n + 17. Determine -4*b(z) - 11*x(z).\nAnswer: -2*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 27 = -3*a, 90*a - 13 = 3*l + 89*a. Let o(g) = -g. Let n(v) = 4*v + 3. Let i(r) = -n(r) + o(r). Let u(j) = 2*j + 1. What is l*i(b) - 8*u(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*sqrt(272)*3 - ((sqrt(272) + sqrt(272)*1)*6 - (sqrt(272) + (sqrt(272) + sqrt(272) + sqrt(272)*-2 + sqrt(272))**2 + -1)).\nAnswer: -116*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*i = -1508364, c = -2*i + 903144 - 148967. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 1 + 13 = 0. Let s be (-6)\/(-3)*(-15)\/b. Let u(v) = 3*v + 9. Is 10 a factor of u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6314361 (base 7) to base 5\nAnswer: -143312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 6*h - 2*s + 3, 2*h - 4*s - 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2\/5 - 18856*k\/5 + 112992\/5 = 0.\nAnswer: 6, 4708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 3, u: 1, d: 1, w: 9, h: 3}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = -0*w. Let n(a) be the second derivative of -13*a**4\/12 + 7*a**3\/6 + 3*a**2 + 9608*a. Let f(d) = -9*d**2 + 5*d + 4. Calculate w*f(g) - 5*n(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29107 + -29106.999974994. Round b to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and 1836.43?\nAnswer: 1834.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 - 6*b**3)*(0 - 2*b + 0) + (3*b**3 - 5*b**3 - 5*b**3)*(-3 - 2*b + 3).\nAnswer: 26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-95 - -97) + -1 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*u + 21, 7*u + 20 = 11*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.69 - -0.21. Let h = 9.4 - n. Put 0, -0.1, h, 0.2 in decreasing order.\nAnswer: h, 0.2, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -709*l + 711*l. What is the nearest to 2\/15 in l, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -2*n. Let l = n + 16. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -404?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 12) to base 8.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8236.5523 - 2.798.\nAnswer: 8233.7543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*a + 10*a - 2*w - 454, -8117*w - 4 = -2*a - 8121*w for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3212*b**2. Let z(d) = -15 - 2*d**2 - 25 + 46 - 6. What is z(p(l))?\nAnswer: -20633888*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3617, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/12 - b**3\/3 + 3*b**2\/2 + 2*b. Let k be q(-3). Solve k = -2*v - 2*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2, -4, -0.4, -2\/3025?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 35*y**3 - y**2 + 3*y - 2. Let u be n(2). Calculate the greatest common divisor of 35 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1390935, -4, 800 in increasing order.\nAnswer: -4, 800, 1390935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6738.6 + 6739. Which is the smallest value? (a) -0.5 (b) 2.7 (c) z (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Suppose -4*x + 7 - z = 0. Is x < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1955 or -0.41013?\nAnswer: -0.41013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/119 (b) -1938 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/72)\/23*1*-2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*d + 2*d. What is the units digit of (-9)\/(-18)*(d - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/((2\/10)\/((-538)\/(-8070)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1650\/2200*4*-13.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 3 in descending order.\nAnswer: 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-3\/8))**(5\/3)*((z**(1\/3)\/z)**(-11))**26 assuming z is positive.\nAnswer: z**(2273\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x. Suppose x = -3*w - 5 + 17. Suppose 0 = -4*m - w*q + 8*q + 4, -3*m + q + 13 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 + -226. Suppose -f*g = 134 - 184. Let o(b) = 21*b**2 + b. Let i be o(-1). What is the highest common divisor of g and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 306\/2119 in decreasing order.\nAnswer: 4, 1, 306\/2119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**2\/3 - 136778456*z + 3507814879826988 = 0.\nAnswer: 51291921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/9249179 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(156)\/(sqrt(6)*2) + sqrt(26))\/sqrt(2).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -4. Let r be (x*-5)\/(-2 + 1). Let o(a) = a**3 - 4*a**2 - 5*a + 6. Is 3 a factor of o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -94, -162, -286, -484, -774?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 14*f - 5. Let l(r) = 40*r + 64. Let g be l(-3). Let t be ((-14)\/g + 114\/(-8))\/(-1). Determine m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.39 - 0.11. Let g = -15.28 + u. Let f = g - -17. Is f less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-36) - 388\/(-36). Factor 19*m**2 + 13*m + 23*m + 4*m**3 - i*m**2 + 16*m**2.\nAnswer: 4*m*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.24 * 3.149\nAnswer: 3.90476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 60. Is x >= 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111312203322 (base 4) to base 11\nAnswer: 3262a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 3:13 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10014 + -12104?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 0*m**5 + 0*m**5 + (m + 0 + 0)*(5*m**4 + 0*m**4 - 4*m**4) - 16*m**5 - 947*m**3 + 947*m**3 + (6*m**2 + m**2 - 3*m**2)*(-m**3 + m**3 + 2*m**3).\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**3 + w**2 - 2*w + 1. Is 5 a factor of l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) -4 (d) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 - t**2 + 2*t - 1. Let o be l(0). Suppose 3*w - o*r - 9 = -2*w, -4*w + 4*r = 0. Put 7, w, -1 in descending order.\nAnswer: 7, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19933, 19938, 19947, 19960, 19977?\n\"Answer: 2*h**2 - h + 19932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1304 and -101\/9780?\nAnswer: 19560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6024, 5 in increasing order.\nAnswer: -6024, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*5137\nAnswer: -10274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -208123209 divided by -29731887?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tptpuptgtripp. Give prob of picking 1 g and 3 p.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/11 - 52*u**4\/11 - 116024*u**3\/11 + 9924340*u**2\/11 + 288444150*u\/11 = 0. What is u?\nAnswer: -261, -23, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/177 and 71\/420?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**3*s - 70*c**3 + 275701*c**2*s**2 - c**2 - 15547*c + 54*s**2 + 2 wrt s?\nAnswer: 3*c**3 + 551402*c**2*s + 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-46201\nAnswer: -18480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.7, -1\/3, 93\/5, 3, 0.5 in descending order.\nAnswer: 93\/5, 3, 0.5, -1\/3, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -524.54 + 5.54. Let j = -518.9999628 - x. What is j rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.01 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 + 2376844*p\/3 + 121218466\/9 = 0. What is p?\nAnswer: -3565249, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v + 0*v - v + (-1 + 2 + 1)*(-2 + 2 - v) + 5*v - 2*v - 4*v + 2*v + 13 - 13.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:23 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:46 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*r + 1532952 = 239*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x + 4*n, 4*x + 0*n = 3*n + 43. Suppose 5*p + p - 18 = 0. Solve 0 = -p*o + o + x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 3509.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260031 is divided by 129990?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllldddl. Give prob of picking 3 l.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) -10 (c) -73 (d) -7.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -99.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u + 5. Suppose 6*f + 30 = f - 3*x, -2*f - 12 = 2*x. Determine i(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(833)*-3 - (sqrt(612)*-4 + sqrt(17))*-2) + -2).\nAnswer: 12 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 662.4672l?\nAnswer: 662467.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9970603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 + 159 + 621 = 676*a - 215*a. Let 26\/3*s**a - 3*s**4 - 2\/3*s + 0 - 5*s**2 = 0. Calculate s.\nAnswer: -1\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39697.2 - -272856.\nAnswer: 312553.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 11*g**2 - 13*g + 42. Let h(b) = b. Let q(i) = -f(i) + 4*h(i). Let s be q(12). Calculate the greatest common factor of 297 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13254611?\nAnswer: 17, 47, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Suppose -g*v + 376 = 4*z, 2*z - v = -3*z + 499. Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, -2\/9, -2, 2 in descending order.\nAnswer: 2, -2\/9, -2, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24044254 (base 6) to base 9.\nAnswer: 1366387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4620778?\nAnswer: 2, 2310389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 25 - 9. Suppose z*k - 6*k - 64 = 0. Suppose 2*x - 6*x + 44 = 0. What is the remainder when k is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:21 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -665 + 945. Suppose -8*c = -c - j. List 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 the fourth biggest value? (a) 0 (b) 5 (c) -0.6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2150139*f**5 + 29*f**2 + 4883*f - 2.\nAnswer: 129008340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2) + (-1 - 0). Suppose 0 = 4*a + a + 5*u, 0 = -j*a + 5*u. Suppose -x - 2 = 1. Is x > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 250*k**3 - 253*k**2 - 502*k.\nAnswer: k*(k - 2)*(k + 1)*(k + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 + 17*z + 6. Let n be t(-2). Suppose 3*i - 6 = -n*v, -3*v - 2*i + i = -2. Solve 3*j + 3*u = 0, 3*j - j - 5*u - 7 = v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.07, 40 in descending order.\nAnswer: 40, 1\/4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -77951 in 5, -76, -0.2, 1?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4\/5 + 44*p**3\/5 - 2088*p**2\/5.\nAnswer: 4*p**2*(p - 18)*(p + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6949278.14631 + 6949247. Let y = m + 31.45630984. Let x = 0.31 - y. What is x rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*h**2*o**2 - 667*h**2*o - 11*h**2 - 63*h*o**2 + 3*o**2 + o wrt o.\nAnswer: 76*h**2 - 126*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (12 + -6 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91109 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 106. Solve o + 3*o + 5*x + 5 = p, -2*x = -o + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003311403 rounded to 7 dps?\nAnswer: -0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/40 and -109\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 12, -0.5 in decreasing order.\nAnswer: 121, 12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.15 + -0.573.\nAnswer: -2.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**2*m**2 - 10805*h**2*t - h**2 + 2*h*t - 55470*m**2*t + 2 wrt m?\nAnswer: -6*h**2*m - 110940*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20246431, 40492912, 60739393, 80985874, 101232355, 121478836?\nAnswer: 141725317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 221110211122 (base 3) to base 7\nAnswer: 4155623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/329 and -9\/4?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 + 47190*r**3 - 2363516*r**2 + 23263944*r - 64692720 = 0.\nAnswer: -23645, 6, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - (11 + -5)) + 6. Suppose -5*x = -8 - 12. Suppose -5*u + j + 38 = 0, n*u - 8*j = -x*j + 32. Solve -3*c + c - u = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n**10\/n)*n))\/(n**(2\/5)\/n))**(21\/4) assuming n is positive.\nAnswer: n**(399\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 4. Let m be n(6). Suppose 3*o + m = -1. Let x be 30926\/(-23030) + (-12)\/(-10). What is the smallest value in x, o, 2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 823158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7)*d*d*d*d\/((d\/d**(2\/7))\/d)*d)**(-37)*(d\/(d*d**1))**(1\/3)\/(d**(1\/2))**(-13\/2) assuming d is positive.\nAnswer: d**(2465\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103849 (base 10) to base 3.\nAnswer: -12021110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*p + 39*p - 30*p)*(7*p - 13*p - 3*p)*(p + p - 4*p).\nAnswer: -306*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -73b (base 12) to base 5\nAnswer: -13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - 2848\/(-64)) + (-7)\/((-7)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o. Suppose -5*j = -o*j - 400. Let q = j - -9. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = 3*f - 791. Let w = f + -116. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -2\/15 (c) -4\/34883\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73446 is divided by 82.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 2, b: 1, u: 4}. Give prob of picking 1 u and 1 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1248+-0.0705162238\nAnswer: 1247.9294837762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -587? (a) -2\/3 (b) -2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/13)\/(n\/n**(-1\/4))*n**(-2\/15)*n\/((n\/n**(1\/12))\/n) assuming n is positive.\nAnswer: n**(-59\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117826 + 173630. Suppose 0*g - 93016 = 5*w + 2*g, 4*g = -3*w - m. Let c = -334763\/18 - w. What is the common denominator of c and 97\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(1\/2))\/m*m)*m)\/m*m)**(-26)\/(m**(-3\/2)\/m**(-14)) assuming m is positive.\nAnswer: m**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 4*l + 5. Let h be i(4). Let u = -1556 - -3193\/2. Let t = 41 - u. Which is the second smallest value? (a) -6 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 3. Let b be c(0). Suppose 2*l = -b*l + k - 25, 0 = -5*k. Let v = l - -4. Are v and -6\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2)\/(204\/((-1)\/(8\/(-208))) - 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 8*j**2 - 7*j. Let c be v(7). Suppose -2*b + b - l + 15 = c, 26 = 2*b + l. Solve -4*f - b = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12024 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16300 + v**2 - 8102 - 7564.\nAnswer: v**2 + 634","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 9*t**2 + 5*t + 48. Let u be 1\/(((-6)\/27)\/2). What is the lowest common multiple of 6 and x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*(-4)\/(-2 + 1). Suppose s - l = 6*s - q, 4*l = -2*s + 20. Suppose -v + s = -0*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 8:16 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 2*(-506)\/4. Suppose -4*j = -2*i - 252, -4*j - 4*i + 0*i + r = 0. What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17130, -68620, -154438, -274584?\n\"Answer: -17164*d**2 + 2*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + -2)*5.\nAnswer: 5 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 4. Let l be y(3). Does 3 divide (-5 - (-20 + 8)) + -1 + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 - 12*y**2 + (-y + y + 2*y)*(0 + 2*y + 0) + ((0 + 0 + y)*(-4 + 4 + y) + 4*y**2 + 6*y**2 + 2*y**2)*(-1 - 2 + 4).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 10*i - 44. Let c(b) = -b**2 + 22*b - 84. Let a be c(i). What is the greatest common factor of a and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - 5\/(15\/(-6)). Let h = 19\/22 - 4\/11. Is f greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x - 29\/24*x**4 + 0*x**3 + 31\/120*x**6 + 0 - 15*x**2 + 0*x**5. Find the second derivative of p(c) wrt c.\nAnswer: 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203.1 - -221. Let z = g - 17.9. Let k = 0 + -0.1. Sort -11, k, z in descending order.\nAnswer: z, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7755829 is divided by 491.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 282 + 4. What are the prime factors of h?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1533\/(-4599))\/(7\/30)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.45 or -1?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 32. Suppose p = -6*l + 8*l - 72. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(72) + sqrt(8)) - (sqrt(11) + 1 + 0 - sqrt(11)).\nAnswer: -1 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253 - 155. Suppose -3*a = -6, 2*k + 2*k + 3*a - x = 0. What is the remainder when k is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6452*y**2 + 22*y - 4793352?\nAnswer: -12904*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 16 - (-8 + (3 - -3)) - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -365 + 364. Which is the closest to f? (a) 13 (b) -0.2 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*l**4 + 95*l**2?\nAnswer: -2352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866399 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-13)*d*d*d**(-12))**(-18) assuming d is positive.\nAnswer: d**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10071 != -10016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwbbwpakxppkabbap. What is prob of picking 1 x and 1 p?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 2. Let i be w(0). Suppose 0 = -2*c - 58 - 30. List the prime factors of ((-7)\/i)\/(-7)*c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 114*j**2 - 248. Let b(p) = 112*p**2 - 245. Let s(h) = 2*b(h) - 3*t(h). What is the first derivative of s(k) wrt k?\nAnswer: -236*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 874*m**2 - 1091*m**2 - 4552*m**2 to l + b*m + v*m**2 and give v.\nAnswer: -4769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/852 and -32\/2712981?\nAnswer: 10851924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4390 - -4395. Solve -15 = -p + r*q - 1, -4*p - q + 14 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393340973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 708 or 42?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:05 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -41. Let j(z) = z**2 + 4. What is the remainder when j(3) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -2*k**6\/25 + k**5\/25 + k**4\/3 - 2*k**3\/15 - 4*k**2\/5 + 8*k. Find u such that h(u) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 3*a**4 + a**3 - 2*a**3 - a**4 + 2*a**3 + (4*a**2 - a**3 - 4*a**2)*(a - 6*a + 0*a) to v*a**4 + y*a + t*a**2 + s + d*a**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*z - 45 + 0 = 0, -5*j + 35 = 3*z. Solve j*m + 3*l - 6 = 0, 3*m = 6*m + l - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 - 2*b + 2. Let k(i) = 14*i**2 + 17*i + 95 + 41*i**2 - 112 - 8*i**2. What is -6*k(u) - 51*x(u)?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 296.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16 + 77 - 17*x**4 - 36*x**4 wrt x?\nAnswer: -212*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/10 - 63*p**4\/2 - 3008*p**3 - 8836*p**2 - 247*p. Factor m(a).\nAnswer: -2*(a + 1)*(a + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6 + 10 - 4 - i. Let w(s) = 4*s. What is c(w(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4171 + 13. Let n = l + 1256. Let q = 5121 + n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*f**3*z + b*f**3 - 2*b*f*z**2 + 60*b*f*z - f**3*z**2 - f**2 wrt f?\nAnswer: 18*b*z + 6*b - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3897 + 2*y**2 - 3897.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27869 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:06 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 848 + -852. What is the closest to -1 in -0.2, -14\/5, x, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4527, -4533, -4533, -4527, -4515?\nAnswer: -4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95914\/158015 + (-2)\/(-19) + (-544)\/836.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 114 (b) 15 (c) 5 (d) -4.873\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-4 + -15 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*q + r - 61, 4*r + 4 = 0. Let m(v) = -5 + 5*v - 8*v**2 - 4*v**2 + 11*v**2 - q*v. Give m(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -230, 1033, 5272, 13975, 28630, 50725?\n\"Answer: 248*d**3 - 473*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 8)\/(-4) + 15. Let x be i\/10 - 4\/10. Let u(z) = 25*z**2. Let c be u(x). Solve k + 3*y + 11 = 0, -k - 4*k - c = 5*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = -b + 1320. Let m = b - 106. Solve m*h - 8 = -12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*l + 650400 = 130*l. What is l rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*d + 20, -3*i - 4*d + 26 = -2. Let w be 105750\/i*1600\/3. Round w to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**6 - 3012*s**4 + 479*s**2 + 4*s?\nAnswer: -120*s**3 - 72288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 164597 + -0.85?\nAnswer: 164596.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915 divided by 305.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2b3a (base 13) to base 8\nAnswer: -14236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 49\/993786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Does 5 divide d\/(-6) + 116\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - -0.4. Let v(h) = -h + 27. Let n be v(13). Let d = 11 - n. Put 5, g, d in descending order.\nAnswer: 5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80.5 - 11.5. Let c = -727.19 + 658.123. Let z = c + q. Round z to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 4 = 14*n - 24*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 65680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -38398322*x + 13*x**2 + 38398322*x. Let b(h) = 257*h. Give b(u(p)).\nAnswer: 3341*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1570 and 4130?\nAnswer: 648410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/9 + 1328*c**3\/3 - 162029*c**2\/3 + 14312320*c\/9 + 15806464\/3 = 0.\nAnswer: -3, 64, 3859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7501505*i = 7501510*i - 9, i - 13 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(2\/9))*b*b*(b*b**6\/b*b)\/b*b*(b**(-3)\/b)\/b**0*b**1*b**(-1\/2)*(b*b**(-2\/5))\/b*b*b\/((b\/(b*b**1\/b*b))\/b) assuming b is positive.\nAnswer: b**(799\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-18) - (-387)\/81 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:30 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - 2*x**2 - 5*x**4 + 4*x**4 - 1 + 2*x**3 as j*x**4 + u*x**2 + a + z*x + k*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + 3*f + 3. Let n be v(4). Put n, 0, 7 in ascending order.\nAnswer: n, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -87875094302\nAnswer: -87875094299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*y + 6 = -103*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w - 3*w - 4 - 3*w**2 - 2*w**2. Let y(k) = -11*k**2 - 5*k - 9. Let v(b) = 10*c(b) - 4*y(b). Factor v(d).\nAnswer: -2*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151542 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 879*v - 348949. Calculate r(397).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07294925 rounded to five decimal places?\nAnswer: -0.07295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2 - (-25)\/(-10). Which is the closest to 0.04? (a) h (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1392 + 1310. Is 0.2 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqbbbbbfqqff. What is prob of picking 1 n and 1 b?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17399*s**3 + 6451*s wrt s.\nAnswer: 104394*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -3\/124, 0.3, 6\/7?\nAnswer: -3\/124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58095 by 108.\nAnswer: 6455\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -8 - (13 + -18 - -7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -5 - 12 - -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16246, -132825, -450054, -1068259, -2087766, -3608901, -5731990?\n\"Answer: -16721*d**3 + d**2 + 465*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = n + 10, -35 = -g + 5*n - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4719045628?\nAnswer: 2, 11, 107251037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/118)\/(-7 + 9). Is 1 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*g**3 - 48 + 48.\nAnswer: -521*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 12*g - 5. Let f be t(-4). Let n be (-10)\/(-3) - 10\/(-15). Let l(z) = 2*z - 2. Let d(w) = 3*w - 1. Let k(m) = n*d(m) - 5*l(m). What is k(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 33 = -7*f. Suppose -f*y = -1483 - 1278. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 13. Let h be o(8). Let l(j) = 5*j**3 - 3*j**3 - j + 0*j**3 + h + 2*j**2 - 3*j**3. Let y be l(0). Solve -t + 11 = -y*z, -t - 1 = -z + 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 85.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1608\/569 or -4?\nAnswer: -1608\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/10, 0.084, 2\/11, -3\/11, 5 in decreasing order.\nAnswer: 5, 2\/11, 0.084, -3\/11, -9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 50*m - 45. Let p(i) = 11*i - 296. Let h be p(27). Let j be n(h). Solve j*q - 6 + 11 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*o + 4*y, 4*o + 35*y = 36*y + 21 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5652 divided by 7.\nAnswer: 5652\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a hour in minutes?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13\/(-13) + 13 + 2876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxc when three letters picked without replacement from qqqqqkkqqxpqqkcpqqq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(198\/(-8)))\/(1134\/(-250047)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 1, s: 1, n: 4, v: 2}. What is prob of picking 3 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 31*g - 3516. What are the prime factors of g?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379391815 to the power of 1\/3, to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26*(-10)\/(-585) - (-1330180)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -5 (b) -29\/7 (c) -7 (d) -3\/7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1794*i**2 + 825057?\nAnswer: -3588*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 153?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015587406 to four dps.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.4. Let u = -8 + 7. Let d = u + 5. Which is the biggest value? (a) -5 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = -6*w. Let v(j) = 22*j**2 + 102*j - 166. Let b be v(-6). Calculate the highest common factor of w and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = -2*k. Which is smaller: -5\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477817988 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -26\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292889555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11*u = 15*u - 60, 5*i - 54 = 2*u. Calculate the remainder when 754 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101156331 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: Calculate the remainder when 122668 is divided by 451.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*v - 35 = 0, 2*v = 4*y + 14 - 52. Let o = y - 8. Solve -o = -2*p - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 16*l + 84.\nAnswer: -4*(l - 7)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*5\/(-4)*83. Suppose 3*y - 19 = 2*n, 3*n - 31 = -7*y + 3*y. Suppose 0 = -2*d + y*d - v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 352*p**3 - 5*p**2 + 483*p. Let y(t) = -527*t**3 + 8*t**2 - 724*t. Let z(i) = 8*l(i) + 5*y(i). What is the second derivative of z(j) wrt j?\nAnswer: 1086*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14504 is divided by 142?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 36. Calculate the highest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-16\/3)*x\/(x*(x**(-9\/4)\/x)\/x)*x**6\/x assuming x is positive.\nAnswer: x**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let f(m) = -2*m - 5. Give f(p) - 5*i(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 739550 + -2b?\nAnswer: 739525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1)*4 + sqrt(112) - (-3 + sqrt(112)*-2 - sqrt(112)))**2 + -2 + ((sqrt(28)\/sqrt(4) + 3)**2 - sqrt(28)\/sqrt(16)).\nAnswer: -117*sqrt(7)\/2 + 7183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (131\/(-20829)*53)\/(-2*(-2)\/(-192))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h - 25. Suppose 18 = 2*c + 4*o, 2*c + 0*c - h*o = 9. Let k(y) = -y + 7. Give k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 22*k**2 - 74*k - 16. Give g(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8630128 divided by -8?\nAnswer: 1078766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 + 4*p + 2. Let d be u(-4). Suppose w - 58 = -2*b + 40, -172 = -d*w + 2*b. Let f = 127 - w. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010011101101110 (base 2) to base 4\nAnswer: 102131232","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29184*o + 700439. Determine w(24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008959762 rounded to 6 dps?\nAnswer: 0.00896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 800023.6nm in micrometers?\nAnswer: 800.0236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u + 85. Let k be r(14). Suppose q - 3*q = -8. Sort 3, -4, q, k in decreasing order.\nAnswer: q, 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144282 and 12093?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-192)\/(6 + 54\/(-42) - 5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1861350, 7445420, 16752202, 29781696?\nAnswer: 46533902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 17 in increasing order.\nAnswer: 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 23 + a - 2*a)*(-4 - 1 + 6)*(a + 3*a - a)*(-18 + 15 + 10) to p + i*a + g*a**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + 4. Suppose 195 - 39 = -d*y. Calculate the remainder when 37 is divided by 2\/(-6)*y\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 13, 14, 13?\n\"Answer: -d**2 + 6*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976.6 take away -218328.9?\nAnswer: 216352.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -572 - -572.3. Let r = 0 - -3. Let o = r + -1. Which is the nearest to -0.1? (a) o (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4)\/(k*(k**8\/k)\/k)*(k*k\/k**(-1\/3))**(-1\/14) assuming k is positive.\nAnswer: k**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 169\/15?\nAnswer: 169\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let z be 51\/21 + 8\/14. Let -i**z - p - 4 + 7*i**2 + 3 - 4*i**2 = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 22 = 5*f. Let n = 73 + -69. Suppose -n = -h + 29. Calculate the remainder when h is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 1114, 2536, 4548, 7162, 10390?\nAnswer: 14244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66890556 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 315*r**2 - 10*r + 12. Let f(n) = -946*n**2 + 28*n - 34. Calculate -17*c(j) - 6*f(j).\nAnswer: 321*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15755 - -17300. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -72. Let p = -76 + d. Suppose -4*y + 0 = -4. Solve -4*z + 3*n = y, 4*z + z - p*n + 5 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - ((-7 - -10) + 9)) + (-48 - -7)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -8 + 38. Let c(x) = 4*x - 3*x - y + x. Is c(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f + 2. Calculate i(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9))**(-4)*(g\/(g**14\/g)*g)\/(g**(-8\/7)\/g) assuming g is positive.\nAnswer: g**(-866\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7503 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102545160.935 take away 136?\nAnswer: 102545024.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459890 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.612 + 1.68. What is j rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 2*z)*((2 - 2 + 5)*(-2 + 2 - 3*z) - 125*z - 25*z + 17*z).\nAnswer: -296*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2922 - -2922. Solve a = -32*n + 36*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/4 - 3654*r**2 + 43821*r\/4 = 0?\nAnswer: 0, 3, 4869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((0 - -1) + 2). Suppose 3*m - 3*w = 7*m - 1888, 5*m + 2*w - 2353 = c. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 13*u + 14. Let n(a) = a**3 + 3. Let c be (1 - 4)\/(0 + -1). Let p = -5 + c. Let z(s) = -4*s**3 - 10. Determine p*z(x) + u*n(x).\nAnswer: x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2710)\/(-5420))\/((-2)\/232*2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7208424 is divided by 5933?\nAnswer: 5762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 31*c - 8. Let t(v) = -5*v**2 + 32*v + 6. Give -3*o(k) - 4*t(k).\nAnswer: 8*k**2 - 35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -704 + 784.4. Let y = -265 - -174. Let n = z + y. What is n rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314 * -2.6\nAnswer: -816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*h = 0, f + 5*h - 33 = -27. Let j = 4 + -8. Sort j, 3, f.\nAnswer: j, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - v = -4080. Let g = 868 - v. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614264 - 621642 = 62*u for u.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.5 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 1600756500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9852?\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 89*t + 2408. Calculate j(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -699?\nAnswer: 279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -2461.\nAnswer: -2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -64647952 greater than or equal to -64647951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, e: 2, q: 8, s: 4}. What is prob of picking 1 s and 1 r?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 69. Let a be ((-36)\/(-54))\/(2\/w). Solve -a + 5 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -76*z - 1. Let j be k(-1). What is the common denominator of (1\/3)\/(2\/(-22)) and (j\/(-8))\/(-3) + 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from cccicfrfccr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -945270 rounded to the nearest ten thousand?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*w + 45 - 138, 26 = -i - 4*w. Let q(h) = -3*h**3 - 92*h**2 - 61*h - 21. Let p be q(i). Solve -p*z + 20 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5\/4 + 21*x**4\/4 + 6*x**3.\nAnswer: -3*x**3*(x - 8)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (-29 - -43 - (-10 + 3 - -16))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 + 922.68?\nAnswer: 925.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*1772\nAnswer: -1594.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11855111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pggmppmxxmpmmxmxg. Give prob of picking 2 p and 2 g.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j - 1\/120*j**5 + 28*j**2 + 0 - 11\/192*j**4 - 1\/8*j**3 + 1\/960*j**6. Factor s(u).\nAnswer: (u - 6)*(u + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 0 + (24 - (18 - 0))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352 (base 7) to base 14.\nAnswer: -d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.67. Let j = 0.56 - r. Let p = 0.03 - j. Is 1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 15. Let p be g(6). Calculate the highest common factor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 11*t + 102. Let h(g) = 16*g**2 + 194*g + 10. Let n be h(-12). What is the remainder when b(n) is divided by (6\/(-4))\/3*-42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3491427?\nAnswer: 3, 577, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 31baa76?\nAnswer: 31baa86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(396) + -2*sqrt(396)*-4 + sqrt(396)))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235899 is divided by 270.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023110300 (base 4) in base 3?\nAnswer: 120200012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 46. Let l = n - 31. What is the nearest to -2\/5 in l, 2\/7, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 11. Let x be z(-13). Suppose 29*h - x*h = 3. Suppose -5*t - 2 = 5*g + 18, -h*t = -3*g + 12. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. What is the units digit of 7 - (3\/3 - u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2 + 16\/(-4)). Sort 3, -7, x in increasing order.\nAnswer: -7, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -995\/44 - -26\/11. Calculate the common denominator of n and 91\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.1582413 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 65*w + 3*w**2 - 2*w**2 - 65*w as p*w + s + u*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 - 1)*1*1\/(-1). Suppose -4*n + h + 15 = 0, 0 = 2*h - 4*h + 10. Find the second derivative of p*o + 7*o**5 - 61*o - 14*o**n - 30*o**5 wrt o.\nAnswer: -740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486 (base 13) to base 10.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 14 (c) 1 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35923 + 6.06533. Round w to one decimal place.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, m: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 790 and 1280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 85\/(-10))\/((-2)\/(-1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*n - 18*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) -2\/5 (c) 123 (d) -1\/3217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 2, s: 5, p: 1, o: 9}. Give prob of sequence vph.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 28240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -0.97. What is the third smallest value in -0.3, -5\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*(-80)\/3)\/((-19425)\/(-8325))\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2923, 27395, 93849, 223285, 436703, 755103?\n\"Answer: 3500*b**3 - 9*b**2 - b - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -432409*m**2*o + 147*m*o - 32*m - 2 wrt m.\nAnswer: -864818*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9*b + 13*b = 6982, -4*b + 11642 = -5*u. Let x = -1641 - u. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2222026*q - 31108360. What is d(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i - 2*g, 7*g + 7 = i + 2*g. Let s(b) = 56*b**2. Let h(j) = -896*j**2. Give i*h(t) - 49*s(t).\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(135\/6)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + -1 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 6, g: 7, z: 2, m: 1}. What is prob of sequence oz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 209. Let y(t) = 7*t - 420. Calculate 10*c(b) - 6*y(b).\nAnswer: -2*b + 430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7255, 14512, 21769?\n\"Answer: 7257*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1131342250 - -10?\nAnswer: -1131342240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -1\/6, 0, -2\/101, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 6*k**2 - 2 + 2 - 16*k**2 - 11*k.\nAnswer: -4*k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 9*p**2 - 7*p. What is the tens digit of r(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-296)\/50 + (-20)\/250?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 z when three letters picked without replacement from {k: 8, z: 2, f: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 222 - 221. Let h be (c\/(-2))\/(175\/(-14)). What is the third smallest value in -5, -2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143398 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26244, -52514, -78798, -105096, -131408, -157734, -184074?\n\"Answer: -7*c**2 - 26249*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 20. Solve 2*a = -4*k + 4*a - v, 5*k = -2*a - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 8. Let t(o) = -o + 2 - 3 + 2*o. Let s be t(7). Let v be b(s). Let f(d) = 4*d + 1. Determine f(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 1, s: 2, n: 4, a: 5}. Give prob of picking 1 a, 1 n, and 1 s.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6 + (-1)\/2. Let y be (8 - 7)\/(f\/(-25)). Calculate the remainder when 79 is divided by 4\/(-3)*(y - -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1133, 1118, 1103, 1088, 1073?\n\"Answer: -15*p + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -52230 greater than -52231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -128*w**2 + 63*w**2 + 5 + 67*w**2. Suppose -3*z = 40 + 80. Let d be z\/(-16)*2*1. Let a(n) = -n**2 - 4. Calculate d*a(h) + 4*g(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - (4 - (-5 - 19) - 16).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-3 - -2)*29\/(-58). Let 2\/3*h**3 - 4\/3*h + 2\/3*h**5 + 2*h**4 + 0 - 2*h**p = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 m when three letters picked without replacement from {z: 5, m: 3, k: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 62. What is the highest common divisor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/22 + (-25)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-3))\/(10\/30). Let d = 2.5 - 3. Let k = 17.1 - 17. What is the second biggest value in k, d, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4852*p - 4854*p - 11*m, -m = -2*p + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12030102 + 11?\nAnswer: -12030031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14604164 and 116833312?\nAnswer: 116833312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 4*q**2 - q - 4. Let n be x(3). Find the third derivative of j**6 + 3*j**n - j**2 + j**2 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 16. Is ((-356)\/t)\/(2\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -37. Let w = -46 - x. Let c be 5\/w*(-3)\/(-5). Is 1\/8 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqtktqkttttt. What is prob of picking 1 q and 3 t?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-40 - -64))*(-10)\/(-6).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338246 = -6840*q + 807710 - 318316 for q.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 3*g - 7 + 3*g**4 - 2*g**2 - 24 to r*g**4 + d + q*g**2 + p*g + a*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 2 + (-1 - 0)*11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccggc. Give prob of sequence cg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 160027 - -1?\nAnswer: 160028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.132715 rounded to 3 decimal places?\nAnswer: -1.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3542669?\nAnswer: 13, 29, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/3 - 14*f**4\/3 - 16*f**3\/3 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = -27*n - 3*q - 7, -4*q - 16 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91302955\/53 equal to 1722698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146004 and 199555728.\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -867 + 905. What is the greatest common divisor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 6*d. Let m(n) = -3*n**2 - 15*n. Let l(q) = 6*m(q) + 15*p(q). Let v(x) = -57*x**2 + 27*x**2 + 29*x**2. Calculate v(l(r)).\nAnswer: -144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**4 + y**3 + 2*y - 7. Let f(u) = 2813*u**4 - 3*u**3 + u**2 - 7*u + 92. Let g(t) = f(t) + 3*x(t). What is the third derivative of g(j) wrt j?\nAnswer: 67584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19 - 6*x**2 - 19 + 5*x**2 + 6*x. Calculate j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14)*1)\/sqrt(2) - 6*(sqrt(21)*-2)\/sqrt(3).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 10*j**2 - 36*j - 120. Calculate l(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(150)\/sqrt(20))\/(3*sqrt(30)\/sqrt(3)) - ((sqrt(3) + 2)*1 + (sqrt(3) - sqrt(108)*-3))**2) + -5.\nAnswer: -1209 - 159*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.9884 - -182.8104. Let k = -706 + 878. Let d = y - k. Round d to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-7))\/((-348)\/(-1421)))\/((-4)\/12)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 3*(-1)\/(-4 + 5). Suppose -2*s = 2*w - 86, -k*w + 62 = s - 25. What is the smallest common multiple of 22 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1.73, -3, 0 in decreasing order.\nAnswer: 0.1, 0, -1.73, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 + 2*d + 6 - 3*d**3 - 3*d)*(3*d**2 - 2*d**2 + 0*d**2).\nAnswer: 2*d**5 - d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221 - -1549\/7. Let -u*w + 2\/7*w**2 + 0 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -1. Let z(k) = 1 + p - 4 + 2*k - k. Give z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.31631 to 2 dps.\nAnswer: 36.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -29\/9024?\nAnswer: -29\/9024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.9 - 3.9. Sort l, 0.6, -1 in descending order.\nAnswer: l, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*h - 2, c - h + 9 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + q**2 - 2*q - 2. Determine i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -58394*a**2. Let h(m) = 5*m**2. Calculate h(t(p)).\nAnswer: 17049296180*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 123, 264, 451, 678, 939, 1228?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 0*h - 2*h**2 + 0*h)*(h**2 + 4*h**2 - 3*h**2 + (2*h + 2*h - h)*(-2*h + h + 5*h)).\nAnswer: -28*h**4 + 84*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -1a6?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -m + 3*h, -5*h + 4 = -5*m + 24. Let i(s) = -746*s**3 - 5*s**2 - s + 3. List the prime factors of i(m).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47932 (base 10) to base 12\nAnswer: 238a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2548).\nAnswer: 5 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 27 + 0*h**2 + 0*h - 1\/30*h**4 + 2\/15*h**3. Find p, given that z(p) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 37 = 2*i + 33, 0 = -3*g + 5*i + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9918318 years?\nAnswer: 11.9019816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4303 - 0?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-4 - -7) - 0. Let z be t\/(-8) + (-5)\/(-10). Let l = -109 - -106. Which is the nearest to 0? (a) l (b) z (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -52. Let x be (-90)\/(-21) + (-6)\/c. Factor 3*k**2 - 1 - 3 - 3*k**3 + x*k**3.\nAnswer: (k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2612 divided by -2\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0 - 24*r**2 - 1\/3*r**3 + 55\/12*r**4 - 40*r. Differentiate t(z) with respect to z.\nAnswer: 110*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) -17 (b) 0.5 (c) 480 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-8 + 7)) + 4 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -139233304, -3?\nAnswer: -139233304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - 5. Let d = n - -32. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 149 - 54. Suppose -4*u = -5*l - 55, -4*l + 38 = 5*u - 0*l. Calculate the remainder when h is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 15*d**2 + 14*d + 3. Let i be s(14). Suppose -6*f - i*j = -2*f - 251, j = -3*f + 187. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + sqrt(7) + -1 + sqrt(56)\/(sqrt(32)\/sqrt(4)).\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6651335*z + 10786767 with respect to z.\nAnswer: -6651335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.16 and 0.42.\nAnswer: -15.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4747 - -0.5253. Which is the closest to i? (a) -0.1 (b) -5 (c) -1813 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22213 + 87 = -5*v - a, 0 = v + 4*a - 4448. Is 56 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2288 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q - 15. Suppose 0 = 4*w - 75 + q. Suppose -2*t + 5*i + w = 40, -4*i = -3*t - 20. Solve 2*j + 0 + 2 = t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**2)**(-7)\/((c\/c**10)\/(c\/c**(-9))) assuming c is positive.\nAnswer: c**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)\/((a*a**(-10)*a)\/a))**(-2\/13) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/(-2)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwgw when four letters picked without replacement from {r: 1, w: 7, j: 10, g: 2}?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 176 = -3*a, 2*n + 128 = 2*a. Let f = a + -3. Suppose 3*k + 3*v - 216 = 0, v + 3*v = k - f. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 5 + 1*-2. Let j(b) = 2*b**2 + 2*b. Let p be j(-2). Solve -11 - c = p*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -1\/7, -2\/5, -25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.9, -3, 0.2, 1.99, -3\/4?\nAnswer: 1.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 42 = 157. Let g = 422 + p. List the prime factors of g.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + -29580?\nAnswer: -29544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 171*j**3 + 759*j**2\/2 + 999*j. Differentiate g(h) wrt h.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.8 - -26.14. Let q = m + 1.56. Which is the nearest to 0.3? (a) 2\/5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 8}. Give prob of sequence zzx.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1606 and 0.5.\nAnswer: -1605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -0.5. Let y = l - 22.4. Let k = -0.1796 - -0.4796. Which is the second biggest value? (a) k (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + j + 10 = 11*i, -j - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 2*g. Let p be k(2). Sort -4, -3, p.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 + 134. Let z = a + 75. Sort 1, 10, z in descending order.\nAnswer: 10, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/29)*s\/s**(-5\/4) assuming s is positive.\nAnswer: s**(269\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 4.4. Let f = 7.1 - 1. Let i = 6 - f. What is the closest to 0 in q, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 51*r**2. Suppose -d - 2 = -4. Let j be (2 - 1)\/(-1 + d). Is q(j) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77060 or 77006?\nAnswer: 77006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*y - 270*y + 3*o + 2 = 0, 5*y - 3*o = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - 6*y + 9. Let o(l) = 11*l**2 - 13*l + 17. Let z(g) = -3*o(g) + 5*p(g). Solve z(i) = 0 for i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 785 and ((5 - 1)\/8)\/(-5 + (-25128)\/(-5024)).\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + -0.26. Let r = 0.7 - f. Let a = 0.2112 - 0.1112. What is the closest to -2\/3 in -2\/5, r, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**3 - 8*h**3 + 3 - 4*h**2 + 3*h**3 + 3*h**2. Let z be b(-2). Suppose -z*y - 10 = -2*y. Which is bigger: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 9:00 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)*(-1)\/(-2). Let y be 1\/((-1)\/(-3) + j). Solve -2*v = v - y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15*d*d**10*(d**2)**(-16) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -18*k**2. Let h(d) = 34 - 7*d + 35 + 37 + d - 102. What is h(g(y))?\nAnswer: 108*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -21, 4, -2, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.76 - 6.2. Let q = -0.44 - r. Let n = 0.3 + 0.1. Sort -1\/2, n, q in ascending order.\nAnswer: q, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:34 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3) + 8\/((-8)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97.6 + -98. Let p = -529\/180 + 35\/12. Let f = p - -2\/9. Sort 4, f, w in ascending order.\nAnswer: w, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 2 (c) 17 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/270*(-1)\/(-4)*-9. Let s(i) be the second derivative of -c*i**5 - 28*i + 0 - 1\/10*i**6 - 1\/2*i**4 + 9\/2*i**2 + 2*i**3. Factor s(m).\nAnswer: -3*(m - 1)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 3}. Give prob of picking 2 f and 1 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 2.32, 0.28, 2\/17 in descending order.\nAnswer: 2.32, 0.28, 2\/17, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 348400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzizkzkz. Give prob of picking 2 z.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 9, t: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7226147251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) -1\/2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/7 - 16*v**4\/7 - 36*v**3\/7 - 32*v**2\/7 - 10*v\/7 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 6. Let y be u(-11). Suppose 0 = -4*j + 42 + y. Calculate the greatest common factor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 13590?\nAnswer: 13590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*q)*(5*q**2 - 3*q**2 - q**2) + 0*q**3 + 8*q**3 - 4*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*z + 4 = 0, 3*j + 2*z - 15 = -z. Let w = 1 + j. What is the remainder when w is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19179080 divided by 9589540.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949169 is divided by 78994?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32285703\/26 or 1241758?\nAnswer: 32285703\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Suppose -38*h - 30 = -48*h. Suppose -h*s = -24 - a. Solve -2*l - 2 = 3*d - 3, 4*l - s = 2*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93434 and 99.\nAnswer: 840906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6053 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*j**2 + j**2 - 4*j**2)*(-3*j + j - 2*j) - 6*j**3 + j**3 + 3*j**3 to b*j + r*j**2 + v*j**3 + h and give v.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 4 + 20*w - 4 + 4.\nAnswer: 20*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 3. Let g be k(-1). Let s(u) = -g*u + u + 4*u - u. Let w(b) be the first derivative of -b**2 - 2. What is w(s(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**3 - 2*a**2 + a - 5. Let j be o(3). Let b = -205 + j. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 13*c - 15. Let q be f(14). Let j be q + 2 - 0\/3. Let s(u) = -9*u**2. Give s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2336956, 1 in increasing order.\nAnswer: -2336956, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let y be ((-8)\/(-5))\/(2\/(-10)). Let s = -13 - y. Calculate l(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 3230 + (13\/(-26))\/(3\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171836 divided by -1\nAnswer: -171836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1216 (base 8) to base 12.\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 - 8*x + 1. Let q be m(-7). Solve 0 = o + o - q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7497 + -7496.6. Which is the fourth smallest value? (a) 0.02 (b) 0.21 (c) 3\/4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-348*v + 169*v + 158*v - 21)*(1 + 0 - 4) to the form l*v + a and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 11*r + 8. Let m(t) be the second derivative of t**3\/6 - t**2\/2 + 2*t. Let k be m(10). Give s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29860406 to the power of 1\/2, to the nearest integer?\nAnswer: 5464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 56. Let u be v(27). Suppose -12*p + u = -11*p. What is the remainder when 113 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 16 - 21*a**2 + 24 + 21*a**2 - 30195*a**3 + 30184*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -38833*z + 41 + 77846*z - 38835*z as l + s*z and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhhm when four letters picked without replacement from mhmmhhhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1872)\/(-195)*(-5)\/(-2). Let c be ((-28)\/(-12))\/(4 - 94\/p). What is the highest common factor of c and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -5 - (-486)\/2. Let z = -131 + v. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-8))\/(u*u**5*u))\/((u\/(u**(-1)\/u))\/u**(-3)) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 22079*r + 242859. Give q(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16 = 4. Suppose -4*f + 12 = -0*f + q*t, 13 = 3*f - t. Solve 4*i + 0 - f = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3952, -7900, -11848?\n\"Answer: -3948*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*i + 5973 - 4657 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88241*f**5 - 396333*f.\nAnswer: 1764820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -4, -1, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by -584129.\nAnswer: 173\/584129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27053)\/(-6))\/(12\/(-9)). Let q = 3390 + j. What is the common denominator of 5\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, 3\/7, -5\/6, 3\/4 in increasing order.\nAnswer: -4, -5\/6, -2\/7, 3\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599742?\nAnswer: 2, 23, 83, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353660 is divided by 174516?\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 4*f + 5. Suppose -92 = -5*k - 0*w - 2*w, -k = 5*w. Suppose 4*y = 4 - k. Let v = 0 + y. What is r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-315)\/27)\/(2\/36). Find the common denominator of 174\/(-32)*4\/6 and 213\/c + (-8)\/28.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.9376 to one dp.\nAnswer: 104.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 + 9*f + 3. Let b = -124 - -221. Suppose -31 = -11*i - b. Give g(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 46 - (-7 + 1 - -31) - (-5 + 139)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zztt when four letters picked without replacement from aqqetagatzazag.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 - 130*x**3 + 240*x**2 = 0.\nAnswer: 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.314799 rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924*1.6.\nAnswer: -1478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - p - 10. Let r be n(-5). Let y = r + 97. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-304)\/152)\/(10\/15)*(-3)\/(27\/210)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4 - -18 - 5) + -25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.988337 minus -0.3904188?\nAnswer: 29.3787558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 555170582 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4311319 divided by -1\nAnswer: -4311319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78)*-4 + sqrt(78))\/sqrt(6))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/72 and -23\/680610.\nAnswer: 8167320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 6. Suppose -j = -0*j - 4. Let a(v) = 70*v - 1 + 70*v - 132*v - j. Let q(y) = y + 1. Let l(m) = a(m) - 2*q(m). Give -5*h(i) - 4*l(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*j + 2288 = -18*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-2) + (-15)\/30. Sort -5, 2, g, -3 in ascending order.\nAnswer: -5, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*((sqrt(425) + -2*sqrt(425) - sqrt(425)) + -5)**2.\nAnswer: 100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 12*h + 57. Let d be r(27). What is the units digit of (-2 - (-58)\/4)\/((-6)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.73680364 to three decimal places.\nAnswer: 4.737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -0.1155.\nAnswer: -2.1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9265121 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 - 3*n + 5. Let w be -1 - 1 - 1*2. Let h be m(w). Suppose 5*q - h = -32. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*h + 60, -5*h - 2*a - 50 = -3*a. Which is greater: h or -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 - -0.78. Put x, 0.08, 5 in descending order.\nAnswer: 5, x, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -35. Let k = 34 - b. Suppose 0 = -0*f + 5*f + 5, -9 = -i - f. What is the highest common factor of k and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**0)**(-11\/5)\/(m**6*(m\/(m\/m**(2\/11)*m))\/m) assuming m is positive.\nAnswer: m**(-351\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 90*c**2 + 3*c + 2. Let o(t) = -178*t**2 - 7*t - 5. Determine 5*g(a) + 2*o(a).\nAnswer: 94*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -153*(2\/(-5) - (-12)\/(-45)). Suppose h = 2*w + 4*a, 7*w = 2*w + 2*a + 195. Suppose -236 = -5*v - w. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - i**2 - 3*i**6 + 5*i**6 - 2*i**2 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywwywwwwywywwyw. What is prob of sequence yw?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61699836 and 484?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Let u = -36.23 - -36.33. Which is the second smallest value? (a) 0.4 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 14*y**2 + y + 10. Let p be b(8). Let f = p - 236. Let w = f - -12. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1977.8929 to 0 decimal places.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 17*c**3\/3 - 2199. Let v(b) = -61*b**2. Determine v(z(d)).\nAnswer: -17629*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -368, -315, -240, -143?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02935302821 to 6 dps.\nAnswer: 0.029353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 3*m + 91. Let h be (-1 + (-2)\/(-4))*(-3 - m). Solve 3*a + 7 = -h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 + 120*i**2 - 768*i - 2048 = 0?\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2959278 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 times 8497?\nAnswer: 26323706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*q**2)*(-19 - 23 + 0).\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3368231 (base 10) in base 5?\nAnswer: -1330240411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 4 + 5)*(2 - 3 - 1) - 1 + 1 + 2 + 0 - 1 + 2 - 1 + 2 - 3 + (4 - 2 - 4)*(1 - 4 + 5) - 2 + 1 - 1 - 3 + 3 - 2)*(683 - 683 + 315*n).\nAnswer: -315*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5914*r**2 + 2*r - 8. Let b(z) = -35484*z**2 - 13*z + 52. Calculate -6*b(x) - 39*f(x).\nAnswer: -17742*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 528 + -518. Suppose -t = -3*f - 60, x*t = 5*t + 2*f + 274. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuru when four letters picked without replacement from {u: 12, r: 6, k: 1}?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110643*b*v**3 - 73959*v**3 wrt b?\nAnswer: 110643*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2\/2 + 3*g - 377. Let s(i) = i + 1. What is 2*f(h) - 5*s(h)?\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004065, 2008126, 3012187, 4016248, 5020309, 6024370?\nAnswer: 7028431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -300822*m**2*z**3 - 575952*m**2 wrt z.\nAnswer: -902466*m**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) - (-9 + 2). Let b = 1040 + -1005. Calculate the greatest common factor of j and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2132491*g - 3*g**2 + 2132491*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-2)\/(-5) - (-56)\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 21*n**2 + 11*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 997*q + 75701.\nAnswer: -(q + 61)*(4*q - 1241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60, 8670, -349?\nAnswer: 8670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/63, 0.22, -0.477, -0.1 in decreasing order.\nAnswer: 0.22, -2\/63, -0.1, -0.477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -871 - -1886. Suppose -5281 - i = -8*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x + 2*x + (0 - 1 + 2)*(-4*x + 3*x + 3*x) + (3*x - 3*x + 2*x)*(-4 + 1 + 4) to the form k + a*x and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + m - 2. Let h be g(-3). Let u be (h\/5)\/(2\/65). Let t = 26 - u. Which is the nearest to -1? (a) t (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6503 + 5?\nAnswer: -6465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - 3*o)*(-o**3 + 3*o**3 - 3*o**3) + (-3588*o**4 + 10345*o**4 - 4255*o**4)*(1 - 3 + 1) + 3*o**4 - 4*o**4 - o**4.\nAnswer: -2503*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-75)\/(-6)))\/((-18)\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Let i(t) = 6*t**3 + 4*t**2 - 2*t + 4. Let x be i(-4). Let s = 312 + x. Which is the nearest to v? (a) s (b) 0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 12*i + 10. What is the hundreds digit of f(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 4)\/(3\/(-6)). Which is the closest to 2\/9? (a) u (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 407 and -10086.\nAnswer: -4105002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4\/18*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2.7\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -6) + 32 - 7. Solve 4*r + 29 = -3*w, 3*w + 0*r = -3*r - x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 113*a**2 + 302*a**2 - 112*a**2 - 9*a in the form d*a**2 + y*a + q and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**2 + 9*x - 6. Let b(r) = r**2 + r + 1. Determine 6*b(n) + v(n).\nAnswer: -2*n**2 + 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6462, 2522, -8174, -29004, -63346?\nAnswer: -114578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d - 1. Let f(l) = -4*l**3 - 8*l**2 - 6*l + 10. Let p(z) = f(z) + 5*w(z). Suppose -3*g + r = -28, 2*g = -3*g - 3*r + 42. Give p(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.674486?\nAnswer: -0.2023458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 6858?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 11*c + 8. Find the third derivative of 14*q**2 - 35*q**c - 5*q**2 + 32*q**4 + 5*q**2 wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 40806300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 4*i.\nAnswer: -i*(i + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:04 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124629981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4710 and 2010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, x: 6, z: 2}. Give prob of picking 1 z, 1 x, and 2 b.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1174697 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + -20. Let d = y - -86. Let c = d - 54.7. What is the closest to 2\/5 in -5, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 65728\nAnswer: 29\/65728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802 = 6*p - 844 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 17*p + 516 = 0. Calculate the remainder when p is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4800 - -28?\nAnswer: 4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -48*h - 986. Calculate the lowest common multiple of c(-21) and 1524.\nAnswer: 16764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-1\/5)\/(h**(-1)\/(h\/h**(-2\/13))) assuming h is positive.\nAnswer: h**(127\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let w(t) = -2*t + 4. Let i(d) = -3*a(d) + w(d). Let j(v) = 3*v**3 + 12*v + 12. Give 12*i(s) - j(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(1\/(-24)). Let o be 32\/132*(-9)\/l. Suppose -s - 5*v = 10, s - 4 = 2*s + 2*v. Sort 2\/15, o, s in descending order.\nAnswer: o, 2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23388\/182 - (-8)\/14. Let q = v - 34509\/260. Find the common denominator of 1\/18 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -124. Let v be 2*(-3 - (-16)\/2). What is the highest common divisor of x and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 + s**5 + 0*s**5)*(-7629 - 1099 - 3980 + 555 - 13239) + 2*s**5 - 1 + 1.\nAnswer: 25394*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402685941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)*h)\/h)**(1\/29)*h**(-10)*h\/(h\/((h*(h\/h**19)\/h)\/h)))**32 assuming h is positive.\nAnswer: h**(-27040\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3*x**3 + 11*o**3*x + 4*o**3 + 10*o**2 wrt x.\nAnswer: -3*o**3*x**2 + 11*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*s + 2*o + 8 = -623*s + 1250*s, -116 = 2*s + 14*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 31*j**2 + 10. Let c(w) = -2*w**2. Determine -5*c(b) - r(b).\nAnswer: -21*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 0. Suppose x = 7*d - 4 - 3. Suppose -3*c + 7 = d. Solve -4 = c*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w + 2*q, -4*q = 3*w + q - 15. Suppose -w*x - 2220000 = -2*x. What is x rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5177, 5173, 5173, 5177?\nAnswer: 5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4*372*(-42)\/2016.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*c - 10, 3*c = -0*c - 3*s. Let n(u) = 0 + u**3 + 2*u**c - 4*u**2 + 2 - 4*u. Let f(t) = 3*t**2 - 18*t + 18. Let z be f(1). What is n(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 111)*(-1)\/2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8487\/7 - -1560915\/1288. Find the common denominator of u and -33\/7.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 1 + 132\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5 = 3*g, -i - 3*g - 10 = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-2 + 0 + 1 + (-4 - 2 + 5)*(-1 + 1 + 1) + (3 + 1 - 2)*(-17 + 10 + 28))*(0 + 0 + 2*w) as q + x*w and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 5, -4, 3277, 1, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - h = 2*h + 2883, 3*a + 2*h - 1745 = 0. Suppose -3*u - 377 = -5*u - v, 3*u = 3*v + a. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m\/(m*m**(-1\/3)*m)*m*m)**(-17\/5) assuming m is positive.\nAnswer: m**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -114 (b) 5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 + 3*f - 3. Let l(q) = -q + 1. Let u(m) = 3*l(m) + t(m). Let s(d) = 3*d**2. What is u(s(c))?\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 44, 2, 5 in ascending order.\nAnswer: 1, 2, 3, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5844.853ml?\nAnswer: 5.844853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 + 347. Let i = y - 99. Suppose 86*m - 1179 = 77*m. What is the remainder when m is divided by i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 4. Let w be h(6). Let y be w\/(-5) - 28\/(-20). Let o = -11 + 13. Put y, -5, o in increasing order.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326759.\nAnswer: 3, 7, 63179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2877893, 5755807, 8633721, 11511635?\nAnswer: 14389549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 3*i + 1. Let t(r) = 10*r**2 - 2. Let u be t(1). Suppose -13 = u*b + 3. Calculate g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - 7 - (-15 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (2204 - 2179).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:16 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84362 is divided by 461?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - 1.99. Let w = -2976 - -2975. What is the third smallest value in -4, w, -2\/17, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42569.665 - -42669. Round c to the nearest integer.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 - 141. Suppose 4*b = -3*a + i, -7*b = -2*b + 5*a - 95. Calculate the remainder when 70 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4104614 and 7264.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 3*z - 9*z. Let s = 58 + z. Do s and 23 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -534 - -533.6. Put 0.1, p, -1\/9 in descending order.\nAnswer: 0.1, -1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -299*u + 31*u + 2413072. List the prime factors of u.\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10358 divided by -1.\nAnswer: -10358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 397057 (c) -4 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 6 = -4*r. Let s(z) = z**2 - 9*z + 9. Let l be s(8). Suppose -l = h - r. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -33*i - 26. Let t be v(5). Let x = -86 - t. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91450594 to the nearest integer?\nAnswer: 9563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(sqrt(68) + -1)**2.\nAnswer: -120*sqrt(17) + 2070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -1. Let g(c) = 22*c. Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1682284989 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-4)\/(-3))*-3. Let k be 3\/(-1 + -5)*q. Let s(m) = m**3 + 2*m**2 - 1. Let z be s(k). What is z rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6 - (5 + -2 + 3)) + 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-832)*32)\/((-3)\/(-2691)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by 6.\nAnswer: -113\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19701.74 litres?\nAnswer: 19701740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508106*f**3 - 1016206*f**3 + 508099*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g + 15 = 0. Let f be 1 - (-1)\/3*g. Suppose 0 = -4*y + 4*u - 4, 4*y = -f*y - 2*u + 26. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {h: 8, e: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*b = -y - 20, 4*y + b = 132. Let t(u) = -3 + 0 - 12*u + y*u - 1. Is 17 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 15*t**3 + 11*t**2 + 2*t - 15. Let x be (2\/2*-1)\/(60\/(-360)). Suppose 47 = -8*u - 41. Let f(m) = 8*m**3 + 6*m**2 + m - 8. Determine u*f(h) + x*p(h).\nAnswer: 2*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4\/11 + 10658*w**3\/11 - 176980*w**2\/11 - 91154*w\/11 = 0.\nAnswer: -2681, -1\/2, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 25, -m + 124 = 3*g. Let u = 115 - m. Let i(y) = -11*y. Let z(d) = -120*d. Determine u*z(w) - 65*i(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450959 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 32409138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1477, -2, -1, -3 in decreasing order.\nAnswer: 1477, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**4 + 41*k**3 + 2*k**2 - 9. Let v(u) = u**3 + 1. Let j(m) = a(m) + 2*v(m). Find the third derivative of j(q) wrt q.\nAnswer: -48*q + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Solve 4*d - z = -0*q - q, -5*q = 2*d + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 8, y: 1, f: 2}. What is prob of picking 1 w and 2 x?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 502 - 481. Let c(s) = s**2 - 25*s + 73. Let l be c(v). Let x(t) = t**3 + 10*t**2 - 14*t - 8. Calculate x(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -12*s + 67. Let y be 0 + (0 - -60 - (2 - s)). Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55\/12 + -27\/4. What is the common denominator of (402\/58 - 7) + (-11125)\/4785 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 7*q**2 - 6 + (5*q - 3 + 3)*(q + 3*q - 2*q) as h*q + l*q**2 + d and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 648 = -8*w. Let o = 224 + w. Let a(p) = p**3 - 9*p**2 + 5*p + 3. Calculate a(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -23*s**2\/2 + 2*s - 318. Let g(i) = -15*i + 1. Determine 8*g(z) - 5*r(z).\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 38106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 140001?\nAnswer: 560004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 515428.\nAnswer: 2061712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(78*c**2 + 367*c**2 + 1047*c**2).\nAnswer: 4476*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-19\/3)*x**4)\/(x**(6\/19)*x**(-2\/25)))**(-1\/64) assuming x is positive.\nAnswer: x**(3661\/91200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.6, 205, -2.11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424*i - 1423*i = -3*k - 14, -5*i + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bne when three letters picked without replacement from {n: 1, e: 1, b: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179726.\nAnswer: 2, 73, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18940*d - 32287 - 32280 + 64567)*(1 - 1 - 1)*(d + 4*d**2 - 3*d**2 + d).\nAnswer: -18940*d**3 - 37880*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -79 + 85. Let 24*a**4 - 2*a - 12*a**5 - 4*a + 82*a**m - 97*a**2 + 9*a**3 = 0. What is a?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 4*k**2 + 8*k + 4. Let r be n(-1). Is r equal to 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203.48 - 0.48. Let c = a + -202.02. What is c rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o + 10. Solve 0 = -5*v - z - 20, -o = -2*v + 4*z - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*q**2 + 0*q**2 + 7 + (3*q + q - 2*q)*(-3*q + 3*q + q) + 6*q**2 - 4*q**2 + 0*q**2.\nAnswer: 2*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let p(k) = 2*k - 18. Let t be p(7). What is g(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(560)\/(sqrt(90)*1))\/(sqrt(128)*-1*-5)).\nAnswer: -1 + sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 0.024102.\nAnswer: -0.144102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 17 - 17 + (0*f**4 + 2*f**4 - 5*f**4)*(-2*f + 3*f - 3*f).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2576800 by -5.\nAnswer: -515360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -340 + 335.01. Let z = -0.01 + s. What is the closest to 2\/7 in 0.1, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*o - 536 = -9*l, 4*l - 1120 = 4*o. Calculate the greatest common factor of 60 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38518 is divided by 241.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2158991366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 10*j**2 - 4*j - 11. Let p be k(9). Suppose -6*h = -13*h + 2653. Let u = h + p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 717910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 39*o - 48. Determine a(4).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7215 and 390?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**16*l\/(l*l\/l**7*l) assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1. Let p(u) = -3. Let v(l) = -9*k(l) - 2*p(l). Let y(f) = -f + 16. Determine -11*v(z) - 2*y(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.83346kg to milligrams.\nAnswer: 36833460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53894, 107777, 161660, 215543, 269426, 323309?\nAnswer: 377192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 140*t - 14093. Calculate the remainder when 5695 is divided by u(121).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 2*u**2 - 2*u**2)*(0 + 0 - 2*u**2) - 9*u**4 - 7*u**4 - u**4 - 6*u**4 + 0*u**4 + 5*u**4.\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017015 to 6 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 97. Let s(b) = 350*b - 16838. Let y be s(48). Give w(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.70447675 rounded to three decimal places?\nAnswer: 1.704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0*t**2 + 7\/120*t**5 - 1\/2*t**3 + 0 + 1\/360*t**6 + 0*t**4 + 3*t. Let a(h) be the second derivative of i(h). Determine a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -195, -323, -455, -591, -731, -875?\n\"Answer: -2*s**2 - 118*s + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814\/9849*(-511)\/(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c1 - -1b6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*u**3 - 3*u**2 - 56*u + 1?\nAnswer: 204*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*g = 8, 2*x = -2*g - 2*g + 16. Suppose i + 4 - 4 = x. Suppose 0 = -13*a - 5 + 18. Solve i = -3*j + 2*j + a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1. Let m(t) = 4*t. Let l(s) = -28*s + 14. Let b(p) = -10*p + 5. Let j(d) = -17*b(d) + 6*l(d). Let g(i) = -5*j(i) + 2*m(i). What is 4*c(q) + g(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-21)\/(-14840)*40*72\/540?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(248*a + 343*a - 474*a).\nAnswer: -117*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 247 in -4, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4359327?\nAnswer: 3, 7, 17, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3458*f - 1116938. What is b(323)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126771 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 63758*t**2 + 63760*t.\nAnswer: -2*t*(t - 31880)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93381091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*n**3 + 3*n - 1060?\nAnswer: -327*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*b - 145 = 0, -5*v = b - 13 - 102. Let z = v + 40. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000175046 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -1, 12, 41, 92, 171, 284, 437?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-11)))\/x)\/(x\/(x**(-4)\/x*x))*x**(-4)\/x*x*x**(-3)\/x)**11 assuming x is positive.\nAnswer: x**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 44.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6749405 micrograms in milligrams?\nAnswer: 0.0006749405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 33.9. What is the closest to -5 in z, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*0.25.\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + (22 - (-3 + -47) - (4 - 10))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10048392 by 72.\nAnswer: 139561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let t(b) = -b**2 + 37. Calculate the remainder when t(j) is divided by (-65)\/(-20)*(-17 + 21).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 557 + -580. Let q(p) = 13*p + 330. Let t be q(b). Calculate the greatest common factor of t and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose f = -0*w + 2*w + 70. What are the prime factors of (-4)\/(-7) - 505\/w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 1 (b) -1\/2 (c) -0.0223 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03662151 times -6?\nAnswer: -0.21972906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105071 is divided by 575?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9044 divide 2941732836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1787796 divided by -9\nAnswer: 198644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2822.4069 months?\nAnswer: 2.35200575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 11*x - 14. Let o be q(-8). Suppose -2*t + 0 = -o. Suppose -2*k = t*k - 399. 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 8, what is -10227 - 167?\nAnswer: -10416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:48 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -41*i**3 + i**2 - i - 2. Determine j(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 649\/5 - 5407\/40. Calculate the common denominator of o and 2\/11 + 251\/(-110).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 35\/15 - 1\/(-3). What is the third derivative of 81*g**3 + 31*g**2 + 49*g**j - 104*g**2 wrt g?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 396*q**2 - 2*q + 4. Let r(f) = 31*f. Give r(k(h)).\nAnswer: 12276*h**2 - 62*h + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 407*k**2 + 143*k. Let z(y) = -17*y**2 - 6*y. Let o(c) = -6*x(c) - 143*z(c). Let w(q) = 2*q**2. Calculate o(w(s)).\nAnswer: -44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14337034?\nAnswer: 2, 7168517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 113*d**3 + 216*d**3 - 104*d**3 - 11*d to the form c*d + h*d**2 + z + p*d**3 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 23*q + 41. Determine k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 4 - (0 + sqrt(19) + (sqrt(171) - sqrt(19)) + sqrt(19)))**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2664327659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -944 + 1870*f - 311 - 938*f - 934*f to b*f + u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96135, -96173, -96209, -96243, -96275?\nAnswer: -96305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -12.23554207?\nAnswer: -17.23554207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let w be p\/3 - (-34199996)\/6. Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 8, y: 4, d: 4, p: 2}. Give prob of sequence fyyy.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*4 + sqrt(38)\/(sqrt(2) + sqrt(10)\/sqrt(5)) + sqrt(19))**2.\nAnswer: 35131\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -595259*a**2*j + 8096778*a**2 + a*j - 5*j wrt j?\nAnswer: -595259*a**2 + a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13982262 and 5678?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -23*m. Let o(r) = -3*r**2 - 4*r - 4. Let s(q) = 4*q**2 + 5*q + 5. Let c be (1*-5)\/(9 + -10). Let f(n) = c*o(n) + 4*s(n). Calculate x(f(l)).\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Let n = 0 + a. Suppose n*l = 5*l - 132. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*l**2 + 7*c**3*l*m**3 - 2*c**2*m**2 - 3969*l**3*m**3 - 21*l**3 + l*m + 2 wrt m?\nAnswer: 42*c**3*l - 23814*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97\/435 - 2\/87. Let k = 5421\/17 + -319. Let x = 679.4 - 679. Put k, x, j, 1\/2 in decreasing order.\nAnswer: 1\/2, x, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 368351\/33 - 11163. What is the common denominator of 37\/24 and a?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, 0.1, -5, 7, -21, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0 + 10. What are the prime factors of ((-50)\/4)\/(r\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46919 is divided by 11640?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxqqpxxxqxxx. Give prob of picking 2 x.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1995218 + -370229477.\nAnswer: -368234259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0 (base 15) in base 4?\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 23 - (3 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 - 5*o + 3. Suppose 6*n - 12 = 9*n. Give m(n).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r - 3. Let x be d(1). Suppose 0 = -5*y - 20, -9 = -q + 2*y - 0. Solve x = -3*z, -q - 2 = -f - 2*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = -52. Let p = k + -9. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847648.\nAnswer: 2, 26489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -51112*c - 2351147. Give l(-46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-168)*8*(-30)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 22 + (-4 - -9) + (-5 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/108 and 81\/520?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:48 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(17) + 0).\nAnswer: -10 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 28 = h. Suppose -h = -3*v - 0*v. Suppose -3*p + 42 = -0*p. Calculate the remainder when p is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9096.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w**2 + 6*w + 7. Determine b(-3).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 558*44\/792 + -57\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 7:02 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(22\/(-4) - -1). Let p = y - -30. Suppose -b + 0*b = -p. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -3 (c) -5 (d) 379 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86 and 2788.5.\nAnswer: 239811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -8*r - 5\/2*r**2 + 6. Is 12 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720130 a multiple of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136819, -137352, -138239, -139480, -141075, -143024, -145327?\n\"Answer: -177*r**2 - 2*r - 136640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 2, s: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42657 and 38319.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l + 9. Let g(r) = -5*r - 3. Let b(z) = 8*g(z) + 3*k(z). Let q be b(2). Let u(x) = 3*x**2 + 3*x**2 - 6*x**2 - 8*x + 3 + x**2. Give u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 50 - 145. Which is smaller: v or 131\/7?\nAnswer: 131\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7785d (base 14) in base 5?\nAnswer: 33233041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 5*x**2 + 0*x**2 + (-1 - 2*x + 1)*(-x + 0*x - x) + 849*x**2 + 864*x**2 - 1706*x**2 to the form r*x + k + v*x**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 31.4, 5, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**7\/840 - k**6\/72 + k**5\/24 - k**4\/24 + 2*k**3\/3 - 23*k - 1. Let l(v) be the second derivative of p(v). Give l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 204\/5*f + 28\/5*f**3 + 32*f**2 - 72\/5 = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.13, 0.1, 0.11, 0.4, -5, -0.22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-84)\/(-27)))\/((-139)\/139)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -w + 2*w + 11, 2*w = 10. Let c(p) = -p. Let n be c(0). Suppose n = -0*b + 4*b. Put l, b, -5 in increasing order.\nAnswer: -5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/9)\/4 + (-772)\/(-9). Round a to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {j: 2, r: 1, u: 1, y: 1, a: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-16) - (-1 - (-75)\/120).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 7. Let x be l(5). Let q = 29 + x. Solve -q*c - 15 = -5*r, 2*c = 4*r - 2*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 2 + 3 - (-5 + (sqrt(684) + 1)**2) - -3*(sqrt(684) + -2)*-3)*-2.\nAnswer: 120*sqrt(19) + 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**0)*f)**50\/(f**(8\/7)\/(f\/(f\/f**(-2\/3))*f)) assuming f is positive.\nAnswer: f**(1033\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 158 = -b + 3*i, 2*b - 2*i = -312. Let y = b + 317\/2. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j**3 - 106*j**3 - 175*j**3 - 32*j**3.\nAnswer: -223*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6726 divided by -2\nAnswer: 3363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-28) - 6\/(-8). Suppose 0 = 4*z - 2*s + 838688 + 1316, o = 5*z + s + 1049998. Round z to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 12*z - 3*s = -3, 4*s = -5*z + 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:07 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -5\/3*k**3 + 0*k**5 - k**2 + 41\/6*k**6 - 209 + 0*k + 0*k**4. What is the third derivative of f(w) wrt w?\nAnswer: 2460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2275.1268 + -1.5268. What is q rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655074 divided by -5.\nAnswer: 655074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1936 and 7172.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 579, 2, 15 in decreasing order.\nAnswer: 579, 15, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2268.8733 months?\nAnswer: 0.189072775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2005 and 2807.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + -16. What is the smallest common multiple of (3 - (-24)\/(-2))\/(30\/l) and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3696.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(272) + -1)**2 - ((sqrt(153)\/(sqrt(9)*1))**2 + 0).\nAnswer: 24*sqrt(17) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 592 + -516. Solve 4*y = -52 + t for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -239499744.6 to the nearest 10000.\nAnswer: -239500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a52 - -6?\nAnswer: 3a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 17*h**2 - 31*h - 20. Let l = -112 + 97. Let f be t(l). Sort 19, 1, f, -2.\nAnswer: f, -2, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17781, -35563, -53345?\nAnswer: -71127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 47 + 9*v**2 + 5*v**2 - 47. Let r(n) = -n**2 - 6*n + 2. Let t be r(-6). Let m(f) = 10 + 9 - f**t - 19. Determine m(q(h)).\nAnswer: -196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 - 4*i - 2 - 5*i**2 - i**2 + 3*i**4 - 2*i**4 in the form y*i**3 + s*i**2 + k*i**4 + p*i + h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 20 = 0, 841*w - 838*w + 3*o = -21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6)\/(z*(z*z**(-4)\/z)\/z*z)*(z\/(z*z\/z**(-1\/3)))**31 assuming z is positive.\nAnswer: z**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 4, -3, -5\/12, -7?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 64700\/(-219980)*(-51)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/4800 and 73\/470832.\nAnswer: 47083200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.94, 3\/7, 24, -4\/3 in ascending order.\nAnswer: -5.94, -4\/3, 3\/7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/4 - g**3\/2 + 2*g**2 - 4*g. What is the tens digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 111 - 133 = 113*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5417.71 + -5908.8. Let n = b + 488. Round n to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -161\/2. Let o(y) = -y**2 - 10*y. Let a be o(-13). Let c = -40 - a. Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -42, -79, -142, -237, -370, -547, -774?\n\"Answer: -q**3 - 4*q**2 + 2*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/1)\/(-2))\/(-11*15\/990)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/20155 and 117\/205720.\nAnswer: 5965880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*p - 15 = 0, -111*p = -107*p - 20. Solve 3*i - 2*t = -18 + 4, 4*i - 3*t + 19 = k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3450\/(-50) - -69)*(2\/(-8) - 8\/32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1247350541 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f - 19*f + 0*f + 6*f in the form a + x*f and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58302 and 11024736?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150109123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 16, -11, -52, -113, -200, -319?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w = -4*k + 96, 308*w + 16 = 310*w + 8*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + 3 + 3 + h wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -5 (c) 1719983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 - 0.13. Which is smaller: r or 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by 1\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j + 11. Let y be s(-9). Suppose 0*a - 15 = -5*a. Let x = a - y. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1913 + 1913.3. Which is the second smallest value? (a) 1 (b) -1\/6 (c) 349 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 1266652 = -1118456. Is 87 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 2*u - 1. Let r(w) be the second derivative of w**4\/12 + w**3\/6 - w**2\/2 - 2*w - 8. Give o(g) - 2*r(g).\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*p - 2*l = 355*p + 22, 3*l = p - 7. What is the lowest common multiple of p and 60*-1*(-6)\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19703 bigger than 19682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574178 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a - 326 - 248 = -142 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 403, -1, 0 in descending order.\nAnswer: 403, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = -1. Suppose -t*s + 12 = -s. Solve 5*x - 7 = s*z - 1, -x - 6 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380355260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0826954 millennia?\nAnswer: 8.26954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4034975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 + 0 - (7 + -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, c: 4, b: 1, s: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -189.21 and -224.810953.\nAnswer: -414.020953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -678.9857 rounded to one decimal place?\nAnswer: -679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -19. Let w be (-7)\/(-4) + 2\/g. Find l, given that 4*l + 2*l**w + 23*l**2 - 7*l**2 - 4*l**3 - 18*l**4 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/6 + 31*w**3\/6 - 4059*w**2\/2 + 19995*w\/2.\nAnswer: w*(w - 93)*(w - 5)*(w + 129)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 14 = -2*u, -2*f - 41 = 3*u - 51 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199612*j**3 + 15*j**2 + 4061042*j?\nAnswer: 1197672*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 95*n + 35. Let l(y) = -3*y - 3. Let m(j) = 4*j + 3. Let a(i) = 4*l(i) + 5*m(i). Calculate 35*a(k) - 3*p(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2580)\/25)\/((-2)\/10). Calculate the greatest common divisor of 108 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2302 - 222202?\nAnswer: -213300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-5 - 4\/(-2)). Let l(p) = 2*p - 3. Let b be l(k). Calculate the lowest common multiple of 3 and 32 - b - (-1)\/(4\/12).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 2. Let j be b(1). Sort 6, j, 1, 0 in increasing order.\nAnswer: j, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1 = -4*a - 0, 4*a - 9 = 5*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.6 - -58.3. Let b = n + -77. What is the third biggest value in -4, 1\/3, b, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137939683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*g**3 - 111*g**3 + 517*g**3 - 105*g**3 - 109*g**3 - 107*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let y = 102 - w. Let m = 58 + y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k - 20. What is the units digit of c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -43, 2, -1, -271, -2 in descending order.\nAnswer: 2, -1, -2, -3, -43, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 28*b - 170. Calculate s(-12).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -37*n + 52. Solve n*h + 31 = 23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -4\/5*r**5 + 5 + 0*r - 8\/3*r**3 + 0*r**2 + 0*r**4. Find the third derivative of s(h) wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*p - 6 = 0, p - 4*p = 4*x - 7. Sort x, -4, -3.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -237374, -237070, -236766, -236462, -236158?\n\"Answer: 304*y - 237678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*n**3 - 82*n**3 - 89*n**3 - 95*n**3 - 91*n**3 - 96*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181941*n**4 - 26*n**2 + 5*n**2 + n + 2 + 181940*n**4 + n**3 to the form o*n**2 + v*n**3 + q*n + k + t*n**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 660, 659, 658, 657, 656?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-93) + (-1245932)\/(-4154). Calculate the greatest common factor of 4000 and r.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:49 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h - 3*h)*((4*h - 13*h + h)*(-3 - 1 + 2) + 1 - 1 + h + 2 + 2*h - 2 + (3 - 3 - 2)*(-3*h + h + 4*h)).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.123? (a) 1664 (b) -2 (c) 2\/575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2316.113mm?\nAnswer: 2316113000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 9 (b) 7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -636673, -1273360, -1910049, -2546740, -3183433, -3820128, -4456825?\n\"Answer: -w**2 - 636684*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*c - 807 - 7485 = 13500 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:54 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 386*i + 388.\nAnswer: -2*(i - 1)*(i + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-28.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 4*z**2 - 3*z - 6. Let c be p(5). Suppose 48 - 860 = -c*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -357 + 1417. Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 6 (b) -4 (c) -609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-3*q**2 + 5*q**2 + 0*q**2 + 10*q) to o*q**2 + b + a*q and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185351, 741423, 1668209, 2965709, 4633923, 6672851?\nAnswer: 9082493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2790703 and 22?\nAnswer: 61395466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*c - 362. What are the prime factors of 0 - c\/(-4) - 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w - 6. Let c be h(-7). Let k = -75 - -299. What is the highest common divisor of c and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 3 + 14 - 593*x.\nAnswer: -593*x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -18\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 51108?\nAnswer: 51111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834086134.\nAnswer: 2, 7, 751, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*n = -410*n - 402*n - 714 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 173, 360, 609, 914?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22006303 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: Suppose 4*v + 84 = 25*v. Let a(o) be the third derivative of 0*o**v + 1\/30*o**6 + 0*o**3 - 8*o**2 - 2\/15*o**5 + 0 + 0*o. Determine s, given that a(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 855.032 nanometers?\nAnswer: 0.000000000855032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 517858\/194199 - -2\/64733. Solve -r*l**5 + 2*l**2 + 10\/3*l**3 - 2*l**4 - 2\/3*l + 0 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453 - -430?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (387 + 7)\/(2\/(-2)). Let s = -378 - j. Solve 5*g + 3*v = -16 - s, -16 = 2*g + 3*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 + -2.28. Let j = d - 0.72. What is the second biggest value in -0.2, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141.3 + -0.1.\nAnswer: -141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 5005.\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 - 1. Let o be d(5). Let t(a) = -a + 12. Let h be t(11). Suppose 2 = -i - 1. Sort h, o, i in decreasing order.\nAnswer: h, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 + 6. Let x be h(6). Let k(a) = a**3 + 7*a**2 + 7*a + 5. What is the remainder when k(-5) is divided by (x - 1) + (0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 33*m - 54. Let d be u(18). Let l = d + 6. Solve -c + l*c = -25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 844 and 4009?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = -4*w - 25, 2*w - 2*f = 10. Let l be 4\/(40\/7385) + w. Let i = 764 - l. What is the common denominator of i and -44\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1352360 and 2704720?\nAnswer: 2704720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 12*k + 4. Calculate the lowest common multiple of 49 and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*y + 1 = 6, -4*d = y - 43. Solve -x - 6 = 3*v, v - d = 2*x + 5*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76733*b**2*g**3 - 95*b*g**3 + 137*b*g wrt b.\nAnswer: -153466*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -755524*f**2*n**3 + f**2 + 5373*f*n**2 wrt n?\nAnswer: -4533144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18132 - 0.027149\nAnswer: 18131.972851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50*(-3)\/(-12)*348\/(-435)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.05 + -144.85. Let j = 132 + p. Which is the nearest to j? (a) -2\/39 (b) 1\/3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-330)\/(-27) + (-4)\/18. Let y be (10\/o)\/((-9)\/(-54)). Suppose -2*g + v + 130 = 2*g, 3*v - 154 = -y*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250202861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -42. Suppose -m = -5*j - 2. Let c(r) = -r**3 - r**2 + 4*r + 4. Let v be c(-3). Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74043, -148093, -222143, -296193, -370243?\n\"Answer: -74050*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 3069?\nAnswer: 260865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = r - 18, 0 = 2*r + 4*v - 5 - 31. Calculate the remainder when 62 is divided by r\/(2 + -2 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*(-6)\/(-6). Let n = 0.1 + -0.3. Let t = 0 - -0.5. Which is the closest to 1? (a) l (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -23991*h**3 + 27*h**2 - 11724. Let c(q) = 7197*q**3 - 8*q**2 + 3517. Let m(b) = -27*c(b) - 8*g(b). Find the first derivative of m(s) wrt s.\nAnswer: -7173*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327364 (base 10) in base 12?\nAnswer: 139544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-225))\/((-4)\/10). What is the smallest value in -2\/15, j, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 + -134. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.014 + 0.014. Let v = -20.6 + 10. Let t = v + 11. Which is the closest to q? (a) -0.2 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 9\/(-15))\/((-3)\/(-30)). Suppose -w = c*o - 4, -21*o - 2*w - 18 = -26*o. Solve -o*x + 3*x = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.45 (b) 1\/4 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 23. Suppose 246 = 11*j - 5*j. Let t = j + -30. Calculate the remainder when t is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (342\/456 + -2 + 1845\/(-140))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39749361.90000065 - -39749384.9. Let x = f - 23. Round x to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14655.\nAnswer: 3, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12699030*n**3 - 39*n**2 + 64999 wrt n?\nAnswer: -76194180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - b)*(4 + 1 - 1)*(8*b + 7*b**3 - 8*b).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/391 + -764\/3519. Which is the third biggest value? (a) 0.4 (b) q (c) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 3. Suppose 6 = 4*v - g. Let b be 11\/110*(1 + 1). Sort b, v, -3 in increasing order.\nAnswer: -3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**3 + 3*t**2 - 7*t - 11. Let y(l) = 5*l**3 - 2*l**2 + 4*l + 5. Calculate -4*i(a) - 7*y(a).\nAnswer: a**3 + 2*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(0 + 20\/(-28)). Let b = 87\/55 + k. Let -2\/11*s**3 - 2\/11*s**4 + b*s**2 + 2\/11*s + 0 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k. Let j be m(-3). Suppose j*f = -f + 2618. What is the highest common factor of f and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/70 + 0 - (272 - 2862567\/10185)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8 - 18\/4. Let s(a) be the first derivative of a**4\/4 + a**3 + a**2 + 3*a - 1. Let c be s(-3). What is the second biggest value in -1, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175264.\nAnswer: 2, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (-2 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4, 2*y + 4*i = -3*y + 21. Let p(c) = 3*c + 1. Suppose 99*n - 2775 = -6*n - 360. Calculate the lowest common multiple of n and p(y).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2647 - -1590. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93600 and 12.\nAnswer: 93600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.29 + -0.29. Let t = d - 16.99999856. Round t to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16456 - 18*l - 16456)*(-5 + 12*l + 5)*(2*l + l - 4*l)*(-5 + l + 5).\nAnswer: 216*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9116.71464435+195\nAnswer: -8921.71464435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 11, -1, 7, 41, 107, 211, 359?\n\"Answer: u**3 + u**2 - 36*u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 2:47 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = w + 17, -14*w - 4 = -12*w - l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/9 - 7*w**2\/9 + w\/9 + 7\/9 = 0?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 9*u**2 + 385*u - 3554. Determine t(9).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 517\/5 or 30794\/3?\nAnswer: 30794\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (4 - 27300006) + 1. What is l rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + -2) - (14 + -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 8877?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 423. Suppose -2*f + s = 108. Let p(x) = -4*x - 96. Let m be p(-27). Calculate the greatest common divisor of f and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 51 - 88 = -5*s, -50 = -5*x - 4*s. Solve 41 = x*f - 1 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 67*l + 1136. Suppose -355 = 19*o + 4*b, 0 = -o + 5*b - 107 + 130. What is v(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21290328 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30200 (base 4) to base 2\nAnswer: 1100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 divided by -35843?\nAnswer: -505\/35843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 - i**2 + 2*i**2)*(-4 + 1 + 1) + 4*i**2 - 2*i**2 - i**2)*(-3 - 3 + 3).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.884217 less than -6?\nAnswer: -8.884217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80293, 80618, 80947, 81280, 81617, 81958?\n\"Answer: 2*u**2 + 319*u + 79972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/12365 and -89\/24730.\nAnswer: 24730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*k**2 + 50*k**2 - 289 + 202 as u + o*k + g*k**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - 5. Suppose 49 + 6 = 4*k + 3*w, -w = 3. What is the least common multiple of k and (u\/(-18))\/(4\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 18676298*l.\nAnswer: -l*(l - 18676298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 - v**3\/6 + v**2\/2 + 33*v. Determine a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*p + 50*p = -51*p. Suppose 4*c = -20, 3*c = l + 5*c + 7. Suppose -3*o + 15 = p, -u + 35 = u - l*o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 3. Let s be ((-6)\/12)\/((-1)\/m). Let d be (-2)\/s - -2 - 1. Round d to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22688, 45372, 68056, 90740, 113424?\n\"Answer: 22684*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 207*b - 9095. Determine z(-145).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 12}. Give prob of sequence rr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**4 + 0*b**4 - 2*b**4 + (3*b - 6*b - 7*b)*(-2 + 2 - 2*b**3).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 - 7 = 0. Let h(m) = -2 - 1 - m + g - m. Calculate the remainder when 3 is divided by h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4035\/4 - -986. Let l = -12758 - -3324. Let b = l + 113309\/12. What is the common denominator of g and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-37)*u*u**(-8\/5)*((u**33*u)\/u)\/u**(15\/4) assuming u is positive.\nAnswer: u**(-167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12291179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - 4) - (0 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:15 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 3, 117 in ascending order.\nAnswer: -102, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202 and 31.\nAnswer: 6262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.4, -0.053.\nAnswer: -0.4, -0.053, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -0*b. Let c(u) be the first derivative of 4 - 3\/2*u**2 + b*u. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + w**2 - 2*w. Calculate z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 15*g + 11. Let z be a(-7). Is (-4)\/z*(-2931)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y**2 - 2*y + 43. Let m(p) = 6*p**2 - 22. Let w(x) = -2*d(x) - 5*m(x). Let w(t) = 0. What is t?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19989003 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.7 + 12. Suppose 0*i - 4 = -4*j - 4*i, -4*j + 6 = 2*i. Let n be j\/7 + (-100)\/105. Which is the closest to -0.03? (a) n (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -4*r. Solve -7 = -2*f + 3*g, r*f - 3*g + g = 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 222338?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/f**(-6))\/((f*(f\/f**(2\/21))\/f*f*f)\/f*f\/(f*f**(10\/9))) assuming f is positive.\nAnswer: f**(1514\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, n: 6}. Give prob of picking 2 q and 2 n.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3185, 3183, 3181, 3179?\nAnswer: 3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 2*c + 3*c. Let w = c - -36. Suppose -50 = -w*n + 8. What is the greatest common factor of n and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.0851 litres in millilitres?\nAnswer: 929085.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2263*l - 107614 = -505*l + 40058 for l.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:50 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let c be ((-4)\/(-6))\/((-2)\/d). Let o(f) = -f - 2. Let k(a) = 2*a + 1. Let i(m) = 3*k(m) + 4*o(m). Let w(q) = -q + 1. Determine c*i(g) - 4*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 - 183140*a**3 + 1676646660*a**2 + 6708784480*a + 6709517120 = 0. What is a?\nAnswer: -2, 18316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00107 rounded to five decimal places?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3253 + 30849. Round v to the nearest one hundred.\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77944 - 77945. Let c be 112\/(-306) - (-6)\/(-27). What is the smallest value in -2\/9, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 r when three letters picked without replacement from {r: 5, m: 6, f: 1, w: 2, y: 5, a: 1}?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.1, -2\/9, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 742.5397km?\nAnswer: 742539700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 0, -4*p + 107*y - 109*y - 8 = 76 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1286347)\/33876 - 9\/324?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2025304 - -15?\nAnswer: -2025245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*r + 2*j + 14 = 299*r, -6*j = 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127451.\nAnswer: 233, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61\/10 - 329\/54. Let l(m) be the third derivative of 1\/945*m**7 + h*m**6 + 1\/27*m**3 + 0*m + 0 + 1\/27*m**4 + 1\/45*m**5 + m**2. Factor l(v).\nAnswer: 2*(v + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/537 (b) -1014 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18) - ((-24)\/(-60) - 736\/90)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 18*y - 831. Give a(0).\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 15) to base 7\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25090 and 7334.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.66 - -3.56. Let u = -51.96 - j. Let q = u - 0.14. What is the nearest to 0.1 in -0.2, -0.4, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 2*j**2 - 2*j - 1. Let w be v(-2). Suppose 2*f + w = n - 5, f - 11 = -n. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 173?\nAnswer: 16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 20\/(-8))*(5 + 126\/30)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-2\/13)*p))\/p)\/((p*p*p**14)\/p))\/((p**(-17)\/p)\/(p\/(p\/(p*p*(p*p**(-1\/4)*p*p*p)\/p*p)))) assuming p is positive.\nAnswer: p**(359\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -74, -270, -666, -1328, -2322, -3714, -5570?\nAnswer: -7956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + 23 + -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666) + sqrt(1666) + (sqrt(1666) - ((sqrt(1666) - 3*sqrt(1666)) + sqrt(1666) - sqrt(1666))))\/(sqrt(18) - (sqrt(18) - (sqrt(18) - sqrt(648))))*1.\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77623, -308668, -693741, -1232842, -1925971?\n\"Answer: -77014*q**2 - 3*q - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 49*y - 14. Let l(v) = -51*v + 17. Determine -2*l(s) - 3*n(s).\nAnswer: -45*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 23*v**2 - 163*v**3 - 19 - 25*v**2 + 30*v**3 + 19*v - 17*v**2. Let f(l) = -22*l**3 - 3*l**2 + 3*l - 3. What is 19*f(r) - 3*w(r)?\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 562526945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 14*f**2 - 24*f + 692. What is t(13)?\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25046 + 500821\/20. Let l = 547 - 4365\/8. Find the common denominator of l and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*l - 3 - 1, q = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1219 + 2035. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 42 - 966 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18.72228589 and -4.7715?\nAnswer: 13.95078589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 50*l**3 - 55*l**2 - 37*l - 18. Let d(f) = -6*f**2 - f - 2. Give a(v) - 9*d(v).\nAnswer: 50*v**3 - v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b + 38. Let l be o(-6). Suppose -4*j = 4*t - 224, -111 = -4*j + l*j - 3*t. What is the greatest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:14 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 2*d**3\/9 - 16*d**2\/3 - 34*d\/3 + 163. Let m(a) = 0. Calculate a.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 11. Determine s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/217 and 101\/18476.\nAnswer: 129332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -7*y**3\/3 - 7*y**2\/2 + 2*y - 62. Let m(n) = -10*n**2 - 10*n + 3. What is -5*m(p) + 7*v(p)?\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, 233, -3, 0 in descending order.\nAnswer: 233, 1, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359199 is divided by 359185.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 1\/85 (b) -599 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 q, and 1 f when four letters picked without replacement from rknqnntfkffnfnq?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1287)\/(-77) + 2\/(-14). Let f = -17 + j. Let z = 0.08 + 4.92. Which is the closest to -0.1? (a) z (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.22191 and -2.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/39468 and -139\/42?\nAnswer: 276276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-105)*21*4\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 496982280 a multiple of 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180568?\nAnswer: 2, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskkssksp. What is prob of sequence kp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/10 - k**4\/2 - 3*k**3 - 5*k**2 - 87*k. Factor a(l).\nAnswer: 2*(l - 5)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/3 - 389*l\/3 - 2321 = 0.\nAnswer: -33\/2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -287, -3.\nAnswer: -287, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 3, q: 1}. Give prob of picking 1 q and 2 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628009 divided by -1.\nAnswer: -628009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, u: 1, z: 10}. What is prob of sequence uz?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 963, 3214, 7591, 14802, 25555, 40558?\nAnswer: 60519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(10\/27)\/((-143)\/(-1287))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54020123604.89 + -0.4?\nAnswer: 54020123604.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u. Let z(g) be the second derivative of -1\/4*g**4 + u - g + 0*g**2 + 0*g**3. Let h(p) = p**2. What is h(z(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2)\/(4\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + -0.024. Let y = -11.666 + t. Let i = -11.6 - y. What is the nearest to -1 in 5, i, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 = -7. Suppose k*r - 1399 = -544. Suppose -r = -3*d - 0*n + 4*n, -3*n - 9 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5860887 + 61*h**2 - 245*h**2 - 24*h**3 - 60*h**2 + 5860885 - 2 - 2*h**3 + 2 + (-2*h + 3*h + h)*(2*h - 2*h - 2*h**2).\nAnswer: -30*h**3 - 244*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/8 - 4*j**3\/3 + 2*j**2. Differentiate n(b) with respect to b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 16 = -25 + 18, -n - 3*x = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/30 - (-3 - -9 - 2) and 71\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -10*f + 20*f. Let y(t) = t**2. Let k be y(-2). Put k, -1, f in decreasing order.\nAnswer: f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 + 1a791b?\nAnswer: 1a7945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.52, 8, 0.24, -0.03?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166952\/61 smaller than 2736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/13)*t**(-2\/33))**(2\/39) assuming t is positive.\nAnswer: t**(674\/16731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7942)\/1976 + 32\/8\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 - 9 = 0. Suppose -r + 6 - s = 0. List the prime factors of (12\/(-15))\/(r\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3, -55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, -43, -1 in decreasing order.\nAnswer: 3, 1, -1, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b. Suppose b = p - 2*p + 2. Let n(q) = 9 + q + p*q - 2*q. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 143667.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 1106?\nAnswer: 155\/1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5*(-25)\/(-5). Suppose 20 = 4*r + 4*k, -r - 3*r + y*k + 41 = 0. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d - 255*d - 140*d - 17910 = 255*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -121, -190, -267?\n\"Answer: -4*b**2 - 49*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 + 12*n**2 - 14*n**2 + 14*n**3 - 4 as t*n + b*n**3 + p*n**2 + u and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -10, 17, 60, 119, 194?\n\"Answer: 8*h**2 - 13*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2803, 6692, 10583, 14476, 18371?\n\"Answer: p**2 + 3886*p - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34112*n**6 - 9*n**2 - 1717*n wrt n.\nAnswer: -4093440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1499578*i*x**3 - 3*i*x - i + 2*x**4 + 5341*x - 12 wrt x?\nAnswer: 8997468*i*x + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/25 (b) 0 (c) -0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from oyb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w. Let i be r(-3). Let x = -45 - i. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**20)\/r)**21\/(r**(3\/13))**(-27\/2) assuming r is positive.\nAnswer: r**(11001\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -58967.51576 to the nearest 100.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 28*c**2 + 103*c - 12. Determine k(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:58 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**3*o**2 + 6201463*j**3 - 2000856*j**2*o**2 - 14*j**2*o wrt o.\nAnswer: -10*j**3 - 4001712*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198.624 + -199. Let g = c - -0.375999799. What is g rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.775 times 83?\nAnswer: 14672.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29154\/37 - 788. Let d = -52\/407 + b. Let x(p) = -p**3 - 5*p**2 - p - 2. Let i be x(-5). What is the second smallest value in d, -2, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/11, -2, 0.5, 83, -72, -3, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 946.4753 from 3.\nAnswer: -943.4753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000058476806 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47839814?\nAnswer: 2, 11, 53, 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 92. Let a = 48 - j. Solve a*v + 12 = -2*m + 4, -v = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2376 + 2354 = 5*f + 3*y, -3*f + 5*y = -14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2)*(42*u - 8*u + 27*u)*(5 + 1 + 9).\nAnswer: -915*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - (-45)\/(-6)) + 62500\/8. What is the greatest common factor of l and 1395?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - (-159)\/15. Suppose 2*u = u + 5*i - 13, -5*u - 2*i - p = 0. Put -5, u, 2 in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -7 - (-32 - -24))*7. Solve -3 = -t + 4*k, 18*t + 2*k - d = 23*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1495665.\nAnswer: -747832.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4071 - -4070. What is the closest to 0 in k, 0.07, -1\/6, 11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 18*d**2 - 911*d - 1 + 912*d as o*d + r + u*d**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {n: 7, c: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - ((-11 - -8) + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247838.\nAnswer: 2, 83, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s - 5*q, -q - 8 = -4*s - 0*q. Suppose -3*n + 3 = -s*n. Suppose 0 = -n*f - 7*f + 880. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l = -4*n - 71*l + 26, -30*n + 2*l + 234 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3924 and -428.6.\nAnswer: 1681826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -3, -4, 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3402)*2)\/((sqrt(448) - -2*sqrt(448)) + sqrt(7)))\/(-3*(sqrt(2) + (sqrt(20)*1)\/sqrt(10) - (sqrt(2) + sqrt(6)\/(sqrt(27) - sqrt(3)) - sqrt(2)))).\nAnswer: -4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*((-6)\/(-7) - 1). Let w = 2 + o. What is the second derivative of -8*n - w*n + 6*n - 10*n**2 wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -110. Let t be 1\/((-4)\/i*5). Solve 0 = 5*l - t*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -125, -105, -69, -11?\n\"Answer: k**3 - k**2 + 6*k - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-108)*(-10)\/25.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f - 63796 + 63796 + (0*f + f + 0*f)*(-1 - 2 + 2) in the form a*f + y and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -724 - 398. Let v = 16661 - q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 114 - 126. Let t be ((-12)\/8)\/(18\/i). Solve 0 = -t*q - 0*l + 3*l + 12, -q - 4*l = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 2*l**2 + 25*l + 111. What is the remainder when p(-6) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/405 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-310)\/(-25) - 6\/(-10). Suppose 4*l - 7 = y. Solve 4*r - 2*w = -14, -6*r - 5 = -2*r - l*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 + 184. Suppose 0 = 2*s - 33 + a. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90338 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2)*(24876*l - 24877*l + 81 - 286) as p + d*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i + 10. Let u(t) = 5*t - 4. Determine -6*s(y) - 13*u(y).\nAnswer: y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4*0\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73174 + -27352. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 213, 437, 673, 921, 1181?\n\"Answer: 6*l**2 + 206*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 207456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f = 100 + 164 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16523*a**3 + 5163*a + 4 wrt a?\nAnswer: -99138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 6a2bb?\nAnswer: -6a2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 61\/29 (c) -2\/33 (d) -2\/5 (e) -1 (f) 1 (g) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (0 + 2)) + (66 - 62)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 + 399*x - 20. Let u(r) = -19*r**2 + 598*r - 28. What is -7*o(f) + 5*u(f)?\nAnswer: -4*f**2 + 197*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(-4*(4*(sqrt(700) + (0 + sqrt(700) + sqrt(700))**2) - ((-1*sqrt(700)*3)**2 - sqrt(700))) + -2).\nAnswer: 3600*sqrt(7) + 352836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*r + n - 101 = 0, -6*r = 5*n + 2518 - 2687 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 0.068 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 8918 = 4*s + 8910, -2*s - 11 = -5*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 2. Is a(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -9.06.\nAnswer: -108.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*g = 31 - 208, 454 = -5*j + g. Let d = j - -186. Are 95 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 4*g**2 + 4*g + 2. Let h be (2\/5)\/1 - (-96)\/60. Let k be f(h). Suppose 1187 = k*m - 2427. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 411411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47426.10078 - 5.\nAnswer: 47421.10078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -4*f**3\/3 + 2*f. Let i(j) = -2*j**2. Determine i(w(x)).\nAnswer: -128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15258217*q**2*y**2*z**2 + 5*q**2*y**2 - 6*q*y*z**2 - 32873*q*z + 4*y**2*z - 3*y**2 wrt q?\nAnswer: 30516434*y**2*z**2 + 10*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3991 - 1929. Suppose 5*x + 3*f = -0*x + q, 0 = -4*f - 4. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1209008, -1209000, -1208996, -1208996, -1209000?\nAnswer: -1209008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -11222210?\nAnswer: -11222250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 127. Let a = k + -50. Does 41 divide 1\/((6 + (4 - a))\/328)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4*31\/(6200\/80))\/((-14)\/15).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-9))\/((-20)\/12). What is the fourth biggest value in -7, -3, 4, k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97201 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)\/a)**(-2)\/((a\/((a\/a**(8\/5))\/a)*a)\/a**(-1\/3)) assuming a is positive.\nAnswer: a**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3))\/(3 + (-11)\/3). Let d = 64 + 17. Suppose -d = -k*s + 105. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/9)\/(1\/(-2)). Solve 0 = j*r - 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 72*h - 8. Calculate k(-72).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = 5. Let n be -1 + (m\/1 - -137). Suppose 3*u = -18 + n. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - 1. Let y = 4.8 - b. Let v = -8 + y. What is the nearest to 0 in -0.5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 y, and 1 m when four letters picked without replacement from myyyydvlyyyvnn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1390*r - 1784 wrt r.\nAnswer: 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9687 is divided by 313.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*c**3 + 12664*c + 1 - 7*c**2 - 25320*c + 12658*c to the form l*c**2 + g*c**3 + b + s*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -446.18907 and -0.18?\nAnswer: 446.00907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45515 (base 7) to base 9\nAnswer: -16782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 2. Let d(k) = k**3 - 4*k**2 - 64*k - 19. Let p be d(-6). Determine l(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2833 - 2833 - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313 + -311. Let f be 2*2*12\/3. Solve -4*s - f = 4*j, -5*j - r*s + 0 - 11 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-105) + (-9)\/(-21). What is the third smallest value in 1, -1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**8\/3360 - s**7\/840 - s**6\/720 - s**5\/120 + s**4\/2 + 3*s. Let p(h) be the third derivative of u(h). Does 9 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 a factor of 744581249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 273 + -474. Let a = w - -217. Solve -4*t + a = -8*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**12)\/k*k\/(k**(2\/7)*k))\/(k**14\/k**(-1\/3)))**(-15) assuming k is positive.\nAnswer: k**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((4 + sqrt(192)*-2 - sqrt(192) - (-3 + sqrt(192)*-2)) + -3*(-2*(sqrt(192) + -2) + sqrt(192)))**2 + 1).\nAnswer: -480*sqrt(3) + 2382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 5. Let j(t) = -t + 4. What is -6*j(a) - 5*l(a)?\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4829 + -4718. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(23*55\/7590)*1\/(-25).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -20. Suppose 2*w + 3*i = 12, m*i + 6 + 5 = 5*w. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*y - 662, -y - 257 = -337*c + 335*c. Solve 3*l = -2*m - 1, -133*m = -c*m - 3*l + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278664.38775724 - 278669.983. Let u = 0.4047573 - n. Let g = -6 + u. What is g rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - -169. Suppose z - g = -z. Let s = z + -824\/7. Sort s, -0.3, -0.1 in descending order.\nAnswer: s, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 - 2*r**2 + 2*r. Calculate h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -4, -8, -1\/4 in increasing order.\nAnswer: -8, -4, -1\/4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/331108 and 65\/8?\nAnswer: 662216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 35 = -5*l. Let f(s) = -s**3 - 3*s**2 + 2*s - 4. Let k be f(-3). Let y = l - k. What is the least common multiple of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 147 + 103. Let m be 20*-9*d\/(-3). Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:53 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18*y**2 - 3*y + 11. Calculate the remainder when m(2) is divided by 32\/3 - (-4)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88\/32 - (-1)\/4. Suppose 2*g - q = 8, 2*g - 2*q - 1 = t*g. Let n = 1 - 0. Solve g*w - n = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3966 and 2982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - 2) + 22)*(-20)\/(-75). Let r be 10 - ((1 - -2) + -1). Suppose 0 = g + g - 2*b - 2, 4*b + r = 5*g. Is y at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {k: 3, b: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5394019 decades in months?\nAnswer: 64.728228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009020648178 to seven decimal places.\nAnswer: -0.0090206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1620.4386111 to 1 decimal place.\nAnswer: 1620.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*v + 4, -30*b - 13 = -2*v - 25*b. Solve -4*l - 25 = -5*o, 9*l - 5*l = -v*o - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4))\/(1\/9)*446\/669.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -2 (c) -0.0189 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -7c?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -23*j + 492. Let h = 41 - j. Solve h*d - 6 = -5*d - v, 0 = 2*d - 2*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3564.6 - 3565. Let j be (-3)\/(-16)*6\/(-9). Let x = -0.9 - -1. Which is the closest to x? (a) 0 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(0 - 7)*10\/(-2). Suppose 5*i = -390 + y. Let c(t) = -t - 13. Calculate c(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 31\/30108?\nAnswer: 31\/30108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 20*z + 243 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 15 = 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30322348?\nAnswer: 2, 7, 229, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1.6. Let n = 0.7 + -4.7. Let v = n + 3. What is the closest to 0 in d, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123\/20 + 32\/5. Let f = 93.4 - 77. Let b = f + -15.4. What is the second smallest value in z, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 21*f**2 - 5. Let a(c) = 1766*c. Give s(a(o)).\nAnswer: 65493876*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**8\/336 + u**5\/15 + u**2 - 1. Let c(t) be the second derivative of d(t). Find the third derivative of c(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1107 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - w + 2*w)*(17 - 23 + 4 + 13*w).\nAnswer: -39*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.082 - -0.082. Put 6, 4, 0.3, p in increasing order.\nAnswer: p, 0.3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 2*x**2 + 35*x - 8. Let s(o) = -2*o**3 - 3*o**2 + 18*o - 5. Determine 3*g(z) - 5*s(z).\nAnswer: z**3 + 9*z**2 + 15*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*-1*sqrt(275))**2 + (sqrt(275) + 2)*4.\nAnswer: 20*sqrt(11) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/776 and 119\/9920.\nAnswer: 962240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -5*t**9\/504 + t**5\/15 - 3*t**2. What is the third derivative of u(h) wrt h?\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 + 49*i + 4. Calculate b(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 18*u + 32. Determine r(20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 698 + 289. Let d = p + -335. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*c - 2, -12*c + 4*j + 24 = -8*c. Let x(y) = 21*y**3 - y. List the prime factors of x(c).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29043.28 decades?\nAnswer: 290432.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 545899*r**2 - 545766*r**2 + 1091665*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -40. Let a = -0.2 - -5.2. What is the third smallest value in a, 0, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -958? (a) 1.1 (b) 1 (c) 4 (d) 3 (e) 0.3 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9371 + 2191. Does 10 divide ((-21)\/28)\/(15\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:36 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 63 - 18 - 36 - 27*b**2.\nAnswer: -27*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13777, 27540, 41305, 55072, 68841?\n\"Answer: w**2 + 13760*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 5*x**2 - 5*x - 1. Let q be o(-5). Let y = -16 + q. Let r = -6 + y. Solve -r*w + 5*w = 4*p - 35, 2*w + 20 = 2*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/5)*y**(2\/11)*y**(-1\/9)*y**(-1\/2)*y)\/(y**(-6)*y*y**(-9)*y)**(-2) assuming y is positive.\nAnswer: y**(-23987\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-2*x**2 + 0 + 0) + 0*x**2 + 0*x**2 - x**2 + x**2 - 2*x**2 - x - 1 + 2*x**2.\nAnswer: 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17646 divided by 346.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7730631, 7730629, 7730627, 7730625?\n\"Answer: -2*w + 7730633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*a + 3*a - 79 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 3*d + 40*d**2 - 2 - 28*d**2 to u*d**2 + t*d + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*r - 1361 = m, 0 = -m - 4*r - 279. Let c = 1085\/4 + m. What is the nearest to c in 3, -5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 2*s**2 + 3*s + 4. Let b be ((5\/(-1))\/(-15))\/(1\/(-9)). Let j(v) = v + 1. Calculate b*j(i) + g(i).\nAnswer: i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 + 132\/(-8))*138. What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h - 164. Let g be u(-14). Solve -11*r = -3*r - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5643 is divided by 227?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 6*n - 3059. Calculate t(-31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16591869 divided by 3?\nAnswer: 5530623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3010 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 6 + 26. Let u be (25\/(-350))\/(7\/28). Let y = 3 - 3.4. Which is the third biggest value? (a) t (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1236*g**6 + 667*g**2 + 0*g + 667*g**2 + g - 80 - 7135*g**6 - 1335*g**2 wrt g?\nAnswer: -1004520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 18*b**2 + 30*b + 507. Give g(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3c8a8 (base 13) to base 4\nAnswer: 123232001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28835 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 25. Let u(s) be the second derivative of 1\/3*s**c + 0 - 3\/2*s**2 + s. Find the first derivative of u(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y + 452. Give c(-39).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 47\/(-8))\/(27\/(-108) - 3\/2).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 17, n: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27301.918837 and -0.3.\nAnswer: 27301.618837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 726 = -5*l. Suppose -v + 4 = -3*v, -5*v = 3*f - l. Suppose f = 3*s - 105. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 38575?\nAnswer: -15430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4792399?\nAnswer: 167, 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2739300 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by -339\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**4*p - m**3*p**2 - m**2 - p**2 - 2*p wrt m.\nAnswer: 168*m*p - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-13) - 560\/91. Let i = r - 10. What is the common denominator of 4\/7 and ((-132)\/i)\/(15\/14)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206.7 - -210.7. Which is the second smallest value? (a) 5\/19 (b) 0.06 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 132, -109882, 0?\nAnswer: -109882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/5))**37*(c*c**(-4))**12 assuming c is positive.\nAnswer: c**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/7 + 193456*o + 32747070944 = 0.\nAnswer: -338548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 141 - 48)*(5*v - 3*v - v).\nAnswer: 194*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 9968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 0.2, 956, 3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.104 and 47.\nAnswer: 46.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 2*x**4 - 2 + 0*x**2 + 8*x**2 - 4*x**4 to the form t*x + c*x**2 + y*x**4 + r + j*x**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40246 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*d + 174*d**2 - 68*d + 38*d in the form f*d + t + z*d**2 and give z.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 203. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 292 - 335 = 0. Let s = y - 172. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4*v. Let k be h(5). Suppose -3*m + 6*r = r - 33, 5*m - 71 = 3*r. Solve k*w = u + m + 3, 0 = -4*u + 2*w - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 204, 188, 196, 240, 332?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 6 + 8 - 2*n**2 as f + g*n + y*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(8) + sqrt(32)\/(2*sqrt(4))))\/(sqrt(27)\/(sqrt(3) + sqrt(48)*2)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/7 + 122*s\/7 + 2277\/7 = 0.\nAnswer: -99, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((w*w**1*w)\/w)\/w)*w*w*w))**(4\/13)\/(w*w**10\/w*(w*w\/((w**(-1)*w)\/w*w)*w)\/w))**44 assuming w is positive.\nAnswer: w**(-7216\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 8*w**2 - 2*w - 34. Calculate h(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25357, -50728, -76103, -101482, -126865, -152252, -177643?\nAnswer: -203038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 - 4)*(-2 + y + 2)*((-2 + 4 - 4)*(-3 + 5 - 3) - 13 - 96 - 259) as f + z*y and give z.\nAnswer: 4758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -213?\nAnswer: -8\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (115\/46)\/((-1)\/4). Let g = 6 + z. Let o(y) = 5526*y**3 - 5527*y**3 - 7*y**2 + 3*y**2 - 1. Give o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9992.1549 - 2.6549. What is j rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**3 - 11*s**3 + 22*s**3 + 6*s + (2*s**2 - s**2 + 13*s**2)*(3*s - 2*s + 2*s) to the form j*s**2 + v + z*s**3 + u*s and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8 - -6 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4184, 8332, 12494, 16676, 20884, 25124?\n\"Answer: a**3 + a**2 + 4138*a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 - 3*j**2 - 4*j - 3. Let m be r(-4). Let s(a) = -6*a + m + a + 6*a - a**2. Give s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1244.000000028 - -1244. Round t to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7)\/o)\/((o\/(o**(-2)*o))\/o)*o\/(o*o\/(o*o**(-1\/13))*o)*o*o**(-5\/2))**(-10) assuming o is positive.\nAnswer: o**(1375\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 29*u**2 - 9*u + 43. Is k(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/407 or -7.09?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3142412 and 31648578.\nAnswer: 443080092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 6*f + 2. Let t(h) = h**2 - 7*h + 8. Let x be t(6). Solve 0 = -4*n + u + 17, f*n + 19 = x*u - 7*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 19*w - 15*w = -31*w - 37, 0 = 4*o + w - 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 w, and 1 t when four letters picked without replacement from {t: 6, j: 1, w: 3, h: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)\/o*o)\/o)**(4\/35)*(o\/((o*o\/(o\/o**30))\/o))\/o**(2\/75) assuming o is positive.\nAnswer: o**(-107213\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*o - 2*o - 66. Suppose 5*a - 3*p = 235, -5*p = 3*a - 42 - 65. Suppose o*q - 5*q = -a. Calculate the highest common divisor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3 = -2*v, 7*h = 2*h + 2*v + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-3 - (-1 + 1)))\/2. Let b(v) = v**3 + v**2 + v - 1. Let t(z) = -6*z**3 - 7*z**2 - 5*z + 3. Give g*t(s) - 5*b(s).\nAnswer: s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1295*m - 3874. Let b be k(-3). Solve -5*y - s = 17, 0 = 4*y + y + 3*s + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*l - 7924 = -277*l + 142*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415\/119 - 25\/7. Let g = -10433\/952 - q. Calculate the common denominator of g and (395\/15)\/(8\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b + 503. Give o(-163).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8\/2797?\nAnswer: 8\/2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1817*w**2 + 359*w**2 + 1144*w**2 + 430*w**2 - 744*w**2)*(14*w + 12 - 12) in the form a*w**3 + j*w + n + b*w**2 and give a.\nAnswer: 42084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 2655050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.7472l to millilitres.\nAnswer: 588747.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -27. Put 11, -1, y in descending order.\nAnswer: 11, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**2 + 0*n**5 + 2\/105*n**7 + 0*n**6 + 1\/2*n**3 + 0*n**4 + 0 + 0*n. Differentiate b(l) wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3 (c) -1\/4 (d) 24402 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 49*z + 242. Let x be u(-42). What are the prime factors of 8\/(-20) - x\/(-10)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-22))**(7\/5) assuming o is positive.\nAnswer: o**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -12403?\nAnswer: 12402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -641 in 8, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 3*t**2 + t**2)*((3*t - 2*t - 2*t)*(-6*t + 2*t - t) - t**2 - t**2 - 10*t**2) + 2 + 1535*t**2 + 36*t**4 - 1535*t**2.\nAnswer: 43*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 82882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140.9 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 598 = -15*d + 16*d + 20*i, -4*d - i = 1 + 33 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/81 - 353\/891. Suppose 2*j + 4*t - 4 = 0, t + 0 = -2*j + 4. Suppose 2*w + j = 4*w. Is c >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 3*a + 4*a, 3*h + a = 35. Let n(o) be the first derivative of o**3\/3 - 4*o**2 - 4*o - 17499. Determine n(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (0 + 2)) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f. Let t(r) = r**2 - 28. What is u(t(j))?\nAnswer: -6*j**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - 1. Let h(i) = -4*i**3 + 10*i**2 - 24*i - 10. Let z(u) = h(u) - 5*t(u). Let g be z(-16). List the prime factors of g\/11 + (-6)\/33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415418 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmkmqtiqqikm. What is prob of picking 1 m, 1 q, and 1 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 16*o + 2*o**2 - 519 + 519 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 2*z - 2*z)*(-26 + 2*z + 26) - 19*z**4 - 17*z**4 + 10*z**4.\nAnswer: -30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7273966 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 138\/42)\/(22\/(-77)). Sort -4, -5, t in increasing order.\nAnswer: t, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-24 + 3 - -43).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and 1.7.\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/1567629 and -37\/322.\nAnswer: 72110934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 908 divided by -10?\nAnswer: -454\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1256)\/(-42) + 48\/140*15\/54?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (-3 + 4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111323101 (base 6) to base 16\nAnswer: 1f04ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 4. Let w = -2 - c. Let h = w + 35. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.5, -0.2, -0.36?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 11*l - 6*l = -87, -5*f + 52 = -4*l for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 1. Let t be x(1). Let i = -2 + t. What is the third derivative of 4*g**2 - g**2 + 0*g**i - g**3 + 3*g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 70. Let t(r) = 1. Let i(k) = 5*k - 7. Let g(y) = -i(y) - 3*t(y). Let z(s) = s - 1. Give a*g(h) + 9*z(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*b - 110, 5*b - 2*h - 82 = -0*h. Let n = b + -5. Calculate the remainder when 1\/(5\/185 + 0) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-29653\nAnswer: -59306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - y + 201 - 176.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1676854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((2*-1)\/6)\/(127\/(-1143))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925176 divided by 8?\nAnswer: 240647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513504 (base 6) to base 8.\nAnswer: -120060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 - -5.3. Let m be (2\/(-10))\/((-6)\/15). Let q be (2 + -13 + 9)\/((-2)\/(-3)). Which is the third smallest value? (a) -2 (b) o (c) m (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (-5*(sqrt(108) + sqrt(108)*-2) + -4)**2 + 2).\nAnswer: -2717 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from amhammhhhaaa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*a + 358*a - 5 + 556*a**2 + 5.\nAnswer: 556*a**2 + 299*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22513 - -206606?\nAnswer: 232422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**3 + 4*y**2 + 197*y?\nAnswer: 42*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 + -3225254?\nAnswer: -3225450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k**2\/2 + 47604*k + 764352 = 0. What is k?\nAnswer: -16, 31848\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-30)*4\/(24\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**3\/3 - 15*j**2\/2 - 10*j + 4. Let l be h(-14). Solve 0 = -3*i - 2*p - 22, 4*i + 3*p + 27 + l = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1815 + 3818. Is z a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*y + 24*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - f - 34 = 0, 0*f = -2*f - 8. Let b = d - -10. Suppose -5*o + 55 = 2*h, b*h + 21 + 4 = 5*o. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -701*k - 2097. Determine z(-5).\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.1 + -51. Let q be 4\/(-3) - (-4)\/6. Sort 0.2, q, a in increasing order.\nAnswer: q, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0666 (b) 5 (c) -0.4 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*((d\/d**(6\/7)*d)\/d)\/d*d)*d\/(d\/(d*d\/(d\/(d*d*d*d**(-2\/11)*d)))*d)*d)**(3\/11) assuming d is positive.\nAnswer: d**(1080\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306292 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - -4) + -45 + 44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328159?\nAnswer: 13, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Suppose d = 2*g - 8. Let u = g + 4. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {l: 5, s: 1, w: 5, i: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -32, 0, -607, 1 in increasing order.\nAnswer: -607, -32, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmggg. What is prob of sequence ggg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 1264*c**3 + 363437*c**2 - 723086*c + 360912.\nAnswer: (c - 824)*(c - 438)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((2\/12)\/((-11)\/(-495)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k + 2. Let r(a) = 3*a - 1. Let t(h) = -h. Let i(w) = r(w) + 2*t(w). Let q = -280 - -274. Give q*i(o) - l(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (0 - 0) + (13 + -19 + -1 - -3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 243 + 250 = 0. Let r be -31*(1 + -2 + 2). Let d = o - r. Solve 2 = d*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -13278001?\nAnswer: 13278001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 40*w**2 + 446 + 6*w**2 - 4*w + 13*w**2 + 3*w.\nAnswer: -21*w**2 - w + 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 45 = b, 0 = 2361*r - 2356*r - 2*b + 60 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 3)*(-10)\/(-25). Solve 6*h = 2*h + k - 8, 0 = -2*h - 4*k - p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/360 - 2*j**3\/3 + 3. Let w(l) be the third derivative of r(l). Let i(o) = 18*o. Determine i(w(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 + 669. Let i = h - 339.51. Round i to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.7. Let g be 1 + (-4)\/10 + 0. What is the biggest value in g, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 38*b**2 + 2068*b - 8266. Calculate a(4).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((5 - 2) + -3 + -5)*-113.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from ryrrrygqquy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699 - 417. Does 14 divide j\/(-15) - 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273419.\nAnswer: 271, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 3315160*v + 686892864100.\nAnswer: 4*(v + 414395)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -4*x**2 + 1\/66*x**4 + 1\/11*x**3 + 0 - 1\/330*x**5 + 0*x. Factor c(k).\nAnswer: -2*(k - 3)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8095.1 days to microseconds.\nAnswer: 699416640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 9*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 3*m**2 + 3*m. Let j be l(-4). Suppose 0 = 4*a - 8. Suppose -12 = -j*z - a*t, 2*z - 25 = z + 5*t. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 46*w**2 + 10*w + 10. Let x(r) = -14*r**2 - 3*r - 3. Let y(v) = -3*n(v) - 10*x(v). Let g(d) = 850*d**2 - 3. Calculate g(y(s)).\nAnswer: 3400*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 - -400. Suppose 0 = r + 5*f - l, f + 7 - 8 = 0. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*g**3*w - 2*f*g**3 + 7*f*g*w - 9*g**3*w - 3*g wrt g.\nAnswer: 6*f*g*w - 12*f*g - 54*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5056461km to millimeters.\nAnswer: 505646.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, 4, 3, -5 in descending order.\nAnswer: 4, 3, -5, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 176257763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from sffsvawvsfasgg?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-19) - 15916\/(-98610). Let q(t) be the second derivative of 1\/15*t**4 + 0*t**2 + 0 - 5*t + h*t**3. Factor q(x).\nAnswer: 4*x*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, w: 9, a: 1, k: 4}. Give prob of sequence kab.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 629*i**2 - 221*i + 221. Let u(k) be the third derivative of -17*k**5\/60 + k**4\/4 - k**3 + k**2 - 32. What is -6*m(p) - 221*u(p)?\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1010111010001 (base 2) to base 3\nAnswer: 21122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -326.871\nAnswer: 1634.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.3 (b) 916 (c) -0.0872\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/10 - -2) + 2262\/(-5070).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 686.9267 centimeters?\nAnswer: 6.869267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -332989 - 5*s**2 - s**3 + 332989 + 6*s. Let w(b) = b**3 - b. Let p be w(3). Let l be (6\/(-8))\/(3\/p). What is y(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19252 or 19256?\nAnswer: 19256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**7\/168 - 17*n**6\/360 + 36*n**3 + 12. Let t(c) be the third derivative of r(c). Find the third derivative of t(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633254170?\nAnswer: 2, 3, 5, 87775139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 3*y)*(46 - 2*y**3 + y**3 - 4).\nAnswer: -y**4 + 42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 8*n + 16*n - 22*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/3)*p*p**(-1\/18)\/p*(p\/(p*p\/(p\/(p*(p\/(p\/(p**(9\/5)\/p)))\/p))*p*p))\/p**(-5) assuming p is positive.\nAnswer: p**(253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46814 - -4?\nAnswer: -46810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**2 - 19*b**2 + 65*b**2 - 12*b**2 - 9*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c - 19 + 2\/45*c**5 - 1\/9*c**4 - 2\/9*c**3 + 0*c**2. Factor f(l).\nAnswer: 2*l**2*(l - 3)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/36*8*17\/(-6)*-3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 2, h: 2, j: 2, m: 2}. Give prob of sequence iui.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1201 and -1200 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 + 3*s + 2. Let n be b(-6). Suppose -2 = -y - 4*a, -y + 2*a + n = -0*y. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -651*c - 2609. Let h be r(-4). Put 0.5, 0.1, 5, -8, h in decreasing order.\nAnswer: 5, 0.5, 0.1, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1663 - -5?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(1053) + -1)*1*6)**2.\nAnswer: -5832*sqrt(13) + 341496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) -0.4 (c) -5 (d) -0.1 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r = 7*r - 416. What is the remainder when (-288)\/(-15) + 4 - r\/20 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 10. Let y(b) = -b**2 + b - 3. Let p be y(0). Let g be (p\/6)\/(-1 - v). What is the closest to -1 in g, 2\/5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4071684?\nAnswer: 2, 3, 339307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 15.9905. What is z rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243317011*s**5 - 2174528*s**2?\nAnswer: 14599020660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -1.73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -348 - -1749\/5. Suppose -3*y = y - 8. Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -55*b. Let z(y) = 1044*y. Calculate -58*f(j) - 3*z(j).\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -538883 by 4.\nAnswer: -538883\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10751*t + 10753*t + 4*t**3 - 3*t**2 - 7*t**4 + 5*t**2 to the form p*t + j + m*t**4 + a*t**2 + s*t**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) 1 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(637)*2)**2 + 1*(sqrt(637) + 3)**2) + -2.\nAnswer: 168*sqrt(13) + 12762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r - 15. Let n(g) = -15*g - 4 - 21 + 7 - 13. Let p(m) = 9*k(m) - 4*n(m). Let j be p(-5). Solve -z + j = 5*a, -3 = -3*a - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 141429245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184*f**3*n**2 - 2*f**3*n - 22*f**2*n**2 + 5*f*n**2 - 5*f*n - 10*n - 143 wrt f?\nAnswer: 1104*f*n**2 - 12*f*n - 44*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1876 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/858 and 67\/286.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = 15*a + 104 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6930002 is divided by 2624?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 + h**2 + (2*h**2 - h**2 + h**2)*(((-3 - 9 + 1)*(4 - 3 - 2) + 4 + 0 - 5)*(-259 + 36 - 75) + (2 - 1 - 3)*(-3 + 6 - 1)).\nAnswer: -5967*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + m - 2*m. Suppose 0 = -m*b + 3*b - 36. Solve 0*w = -3*w - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2030040 and 118419.\nAnswer: 14210280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -17\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.051249 rounded to 2 decimal places?\nAnswer: 230.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 95. Let y(m) = m**2 - m - 3. Let q be y(-3). Let f be (0 + -1 + 2)\/(-1). Sort f, i, q.\nAnswer: f, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -5. Let n = 3762 - 33796\/9. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (42 + -15 + 8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*((-231)\/308 - (-5)\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.38254 - 1641.15654. Let o = t + 1627. Let f = o - -2.8. What is f rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24656379*o - 24656388*o + 2 + 4 - 6.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:21 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/4 (b) 1.21829 (c) -2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 5)*21\/(-9). Find the second derivative of 5*f**4 - 5*f**4 - 3*f + w*f + 4*f**5 wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/3)*z)**(6\/23)*(z\/z**6)\/(z\/(z*z*z**(-1\/4)))*((z**0\/z)**13)**(2\/71) assuming z is positive.\nAnswer: z**(-27313\/6532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2976 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -5*y**8\/56 - y**4\/6 + 5*y - 17. Let v(n) be the first derivative of c(n). What is the third derivative of v(m) wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 12 - 12)*(2*p + p - 2*p) + (-p + p + p)*(0*p + 2*p + 0*p) + p**2 + p**2 + 0*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-11) - (-12)\/(-66). Suppose 89 = 4*s - 83. What is the remainder when s is divided by 25 + -2 + (t - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by 1.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*r + 5 = -3*i, i = 5*r + 6. Let j = 833952128\/7196307 - 76668\/661. Let f = j + -2\/573. Is i smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11)\/k)\/k*k)**(1\/2) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {k: 1, b: 5, n: 1, t: 1, p: 1, j: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582149?\nAnswer: 3, 19, 41, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/420 - (-16)\/(-126). Let w = -18 + 31. Let d = w + -18. What is the second smallest value in d, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1015.497 + -1016. Let m = a - 0.007. What is m rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21879 = 3*c + 5*z, -c - 3*z + 7364 - 67 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3328909 weeks?\nAnswer: 201332.41632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/72)\/(-5 + (-414)\/(-81)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39834 * 52\nAnswer: -2071368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**3 + 0 + 3*p + 0*p**2 - 1\/4*p**4. Let k(j) = 3*j + 3*j - 4*j. Calculate z(k(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28582688023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 715221 + -715221.11. Let p be (-6)\/20*16\/(-6). Sort 0.08, f, p in descending order.\nAnswer: p, 0.08, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 5739.\nAnswer: 5747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.7. Let f = 0.2 + n. Let p = f - -0.5. Which is the closest to 0.2? (a) p (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)\/t*t\/(t*t**(-2\/5))*t**(-3\/2)*t*t**(-4)*t)\/((t**(-1)\/t)**17\/((t*t**(-2))\/t**(1\/3))) assuming t is positive.\nAnswer: t**(817\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-560)*68*(-21)\/(-12).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 12*v - 12. Let k(i) = -i + 1. Let m(u) = -12*k(u) - r(u). Let x(n) = -3*n. Give m(x(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-20)*(-10)\/(-3). Sort 4, z, 0 in decreasing order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9397 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-860)\/(-387)*(-3)\/(-2) + 48\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 96.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 9*k**2 - 17*k + 14. Let f be m(10). Does 17 divide ((-15)\/(-5) + -17)*816\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*2*-4)**2 + sqrt(2736) + sqrt(171)*2*-5.\nAnswer: -18*sqrt(19) + 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48648)\/1380)\/(8\/(-55)). Let a = -971\/4 + b. Is 0 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 3*i - 3*j, -3*j + 476 + 905 = 5*i. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**5 + s**4 - s**3 - 1. Let j(h) = 4*h**5 + 2*h**4 - 2*h**3 + 11*h - 2. Let o(i) = -2*d(i) + j(i). Find the second derivative of o(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = 107 - 43 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 7*w - 4. Let p be t(6). Suppose -2*x = -3*v - 10 + 46, -p*x = 5*v - 44. What is the least common multiple of -2 - 3\/(((-84)\/20)\/7) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxxxxxvxxv. Give prob of picking 3 x.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 57 = t. Suppose -5*b + 47 = -4*l + 5*l, -l = 4*b - t. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 5:38 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) - (sqrt(6655) - (sqrt(6655) + (-2*sqrt(6655) - sqrt(6655)))) - sqrt(55)*-2*2)\/(1*sqrt(720) - sqrt(605)*2) + -3)**2.\nAnswer: -54*sqrt(11)\/5 + 1116\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.1. Let m = -37 + 33.7. Let y = m + 2.9. Which is the nearest to -2? (a) q (b) -2\/15 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 242428?\nAnswer: -1\/121214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1386 + 1389. Solve q*g - 15 = 8*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1746, 16283, 55718, 132501, 259082, 447911?\nAnswer: 711438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1\/4, 0.2, 0.1, -102, -0.2, 5\/108?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-1 - 3 + 3)*(-238*h - 82*h + 6*h).\nAnswer: -314*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*l**2 + 7*l**2 - 133*l**2 + (3*l**2 + l**2 - 3*l**2)*(2 + 0 - 1) to d*l + g*l**2 + b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40481673 or -40481674?\nAnswer: -40481674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2839 by -2.\nAnswer: 2839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7487 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 48 = 2*v, -5*k - 32 = -8*v + 6*v. Let g = v - 18. Let b(s) = s**3 - 5*s**2 - 8*s + 2. Let h be b(g). What is the greatest common factor of 52 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3 + 2*c**2 - 3*c**2 + 7*c + 3*c - 4*c. Let h be v(6). Suppose -j = 2*o, -j + h*j - 5*o = 27. Solve -2*p + 4*p + j = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69666 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/96906 and -3\/4168.\nAnswer: 387624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1009913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580 a factor of 718702500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -4 + 4 + 1. Factor 1\/3 - u**h - 1\/3*u - 5\/3*u**2.\nAnswer: -(u + 1)**2*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y - 2*n - 524 = -47*y, -343 = -2*y - 5*n. What is the greatest common factor of 986 and y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 3*p**2 - p)*(-20*p + 6*p + 10*p) to a*p + o*p**3 + n*p**2 + d and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p + 211. Calculate x(18).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 15*b**2 + 19*b + 27. Let d be x(15). Let v = d + -99. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 2*h + 9*h)*((-2*h - 4*h + 2*h)*(2 + 3 - 4) + 25*h + 22*h - 6*h).\nAnswer: 666*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 776 - 775. Which is the second smallest value? (a) -57 (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/10 (b) 0.1 (c) -10 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7\/(7\/(-2)) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 7. Calculate the remainder when 7 is divided by c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -241*g**3 - 450*g**2 - 5*g + 6. Let s(x) = 48*x**3 + x**2 + x - 1. What is 2*j(h) + 10*s(h)?\nAnswer: -2*h**3 - 890*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 17 - 45 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(sqrt(448) + (sqrt(448) + sqrt(448)*1 + sqrt(448) - sqrt(448))))\/(sqrt(14)\/(4*(sqrt(2) + (2*sqrt(2) - sqrt(2)))))*-2.\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:40 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 17*h + 42. Let j(m) = 9*m**3 + 17*m - 13. Let g(o) = -o**3 + 0 + 3 - 4*o - o**3. Give h*j(q) + 26*g(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*g + 60*g + 2823360 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 68.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 4. Calculate the remainder when 29 is divided by d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -316756 * 81\nAnswer: -25657236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*2 + -1. Suppose x + d*x = -23753943. Let w = 2253943 + x. What is w rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 220*k**2\/7 + 6834*k\/7 + 41616\/7.\nAnswer: 2*(k + 8)*(k + 51)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59\/4 of a day?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32588, -32590, -32592?\n\"Answer: -2*d - 32586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/(-6))\/(-3 - 11\/(-4)). Let y = -25 + x. Solve l - 1 = y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 8 + 4)*(-3*n + 3*n - 3*n)*(5*n**2 + 5*n**2 - 4*n**2) as k*n**2 + g*n + v*n**3 + u and give v.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 take away -880.9?\nAnswer: 986.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/6 + -4\/3. Let r = 6.2 - 12. Let b = 6 + r. What is the nearest to -1 in s, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*m**5 - 91*m + 30*m**5 - 48*m**5 - 13 + 14 - 19*m**5 wrt m.\nAnswer: -2680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.44 + -22.72. Let d = -42 - v. Let b = d + 1.04. What is the closest to 2 in -1, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.8, -0.4, 0.05, -3.\nAnswer: -3, -0.8, -0.4, 0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5. Suppose 0 = r + 4*r + 2*p - 23, 4*p + 4 = v. Suppose -r*t - 5*z = -2*t - 4, 2*t = 4*z + 32. What is the least common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, 8, 5, -10, 2 in ascending order.\nAnswer: -10, 2, 3, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3 + (0 + 2 + 0)*(2 + 2 - 2) - 4 + 3 + 2)*(-q**4 - 4*q**4 + 3*q**4) as x*q**4 + o*q**3 + u*q**2 + r*q + a and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {c: 1, u: 1, s: 2, l: 1, d: 1, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-15)*658255\/25688.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6310 + -1d6?\nAnswer: -6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 2. Let q be a(2). What is the tens digit of 542\/q + (-9)\/(-12)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.249, -6\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 26.38.\nAnswer: 24.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -100. Calculate the lowest common multiple of i and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 79*u**2 - 7*u + 13. Let a(j) = 26*j**2 - 2*j + 4. Suppose -y - 28 = 5*n + 2, -4*y = -4*n - 48. Give n*a(b) + 2*k(b).\nAnswer: -24*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 1744, 3917, 6948, 10831?\nAnswer: 15560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7276716*a - 21830153. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 87*p - 792. Let j be i(-9). What is the greatest common divisor of j and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * 41159.\nAnswer: -98781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(1 - 2*c**2 - 1)*(-5 + 5 - 6).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 321*g + 308*g - 132*g + 695*g as f + q*g and give q.\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -4*n - 42 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 2. Let k(g) = -7*g**2 - 4. Let p(q) = q - 5. Let t be p(0). What is t*i(h) + 2*k(h)?\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21290676.\nAnswer: 2, 3, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 292, 9, -582, 2, -2, 0.\nAnswer: -582, -2, 0, 2, 9, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 14581.\nAnswer: -3\/14581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -347 + 326. What is the hundreds digit of (-264)\/(f\/15 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344348420 a multiple of 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 3d40?\nAnswer: 3d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 4*f - 10. Let v be z(-4). Let l be v - (-1 - 4 - -2). Let g = l + 65. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 1749*m + 95. Let j(t) = -33*t**2. Calculate z(j(y)).\nAnswer: 1089*y**4 + 57717*y**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001696174554 to seven decimal places.\nAnswer: -0.0001696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y + 2*m, 3*y = -2*y + m - 23. Let w be ((-4)\/(-7))\/(y\/(-14)). Factor 2*t**2 - 2*t**2 + 3*t**w + 3*t.\nAnswer: 3*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (22 - 8) - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2170\/(-12320))\/(-31)*-48\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.7 - -35. Let y = d + -11.3. Which is the second smallest value? (a) 2 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 10. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/((-24)\/(-416)). Let b = -9 - h. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*b + 0*b = 12, -4*b + 8 = 0. Suppose 4*q - 116 = -o*u, 2*q + 0*q - 3*u = 33. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/17 (b) 1\/4 (c) 0.2 (d) -3.78424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -2*l**3\/3 - 7*l**2\/2 + 6*l. Determine q(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, m: 2, f: 4}. Give prob of picking 1 c and 2 f.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/((-4)\/(-1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 8*i + 3. Let g be f(7). What is the second derivative of 7*d + d**4 + 3*d**4 - g*d wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 813134, 813153, 813172?\nAnswer: 813191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*f + 6 = w - 596*f, -15*w = -27*w + 13*w - 3*f - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0 + 0*a**3 + 0*a**7 - 1\/56*a**8 + 0*a**6 + 2*a + 0*a**2 - 1\/4*a**4 + 0*a**5. Find the third derivative of w(l) wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 + -5 + (-9 - -12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {h: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42\/17 - -226\/119. Let j = -0.94 + 1.3. Let v = 0.06 - j. Put v, 0.4, w in decreasing order.\nAnswer: 0.4, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, -1.03, -0.27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/6*(-6)\/(-2). Let x = s - 13. Let l(f) = -f - x - 7*f - 2*f + 6*f. Let h(m) = 2*m + 1. Determine -5*h(n) - 3*l(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*k**2 - 4 - 4*k**2 + 3*k**2 + 4*k**2 - 4*k**2 + 4*k**2 - 2*k**2 + 4*k**2 + k**2 - 3*k**2 + (-2 + 2 + 2*k)*(-2 + 2 + 2*k) - 7 - 4*k**2 - 2 + 10.\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -53253483 take away -2822?\nAnswer: -53250661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 + 73*d + 48. Give h(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 16*m**2 + m - 16*m - 21*m - 7*m - 11*m + 38 = 0.\nAnswer: 1, 19\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6 - 6. Let q be -20 + 1\/(9\/45). Let o be 18\/(-4)*q\/(-90). Which is the nearest to 0.8? (a) o (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, 83, 118, 169, 242, 343?\n\"Answer: b**3 - b**2 + 21*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 89778?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39258467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*-1*sqrt(750))\/(5*(sqrt(90) + (sqrt(90) - sqrt(90)*-2))))**2 + 1.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/3 - 4) + -4. Suppose -4*b + r = -19, b + 2*r - 17 = -2*b. Let m be (2 + -3)\/((-28)\/b + 5). Put m, -3, 0.4, w in descending order.\nAnswer: m, 0.4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(325) - sqrt(325)).\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v, 3*g - 13 - 3 = -5*v. Suppose -5*h - g*b = -99, 5*b - 6 = -3*h + 2*h. 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 kknknbnkkbnnk. What is prob of picking 2 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 646690 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -1\/60*c**5 - 5\/12*c**4 + 1\/3*c**3 + 14 + 0*c**2 + 0*c. Let y(o) be the third derivative of h(o). Determine y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*j - 63*j + 117*j + 83457 = 0. List the prime factors of j.\nAnswer: 3, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + -26002?\nAnswer: -26046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -35. Let m(i) be the third derivative of -i**5\/60 + i**3\/2 + i**2. Let g be m(j). Solve 0 = -g*x - 5*p + 4, -p + 0*p = 5*x - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpphhphhhhh. Give prob of sequence phhp.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tslbhllsssyylylbssys. Give prob of picking 1 t, 1 l, and 1 b.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9.13*-0.161\nAnswer: 1.46993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = 2, y + 17 = 5*a. Let q be (-19)\/(-4) - 1\/(-4). Let b(k) = -k**2 + 11*k - 11. Let i be b(10). Put i, a, q in decreasing order.\nAnswer: q, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Let p = -521831\/11 + 47439. Which is the nearest to 1? (a) 2\/3 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/147680 and -39\/2945080.\nAnswer: 153144160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -5 (c) -167 (d) 25 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022110 - 2?\nAnswer: -10022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*j - 15560 = 609*j for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51291772 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + h - 12 = 0, 5*d = 4*h + 56. Suppose -3*j = -d*j + 595. Let p = 26 + j. What are the prime factors of p?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2449688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 809b3b - -1?\nAnswer: 809b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94.5 - 95. What is the closest to -1 in -5, 0.06, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 4*i**4 + 5*i**4 + (-3*i + i + 3*i)*(-5 + 3*i**3 + 5) + 1044*i**4 - 1032*i**4 + 5*i - 3*i.\nAnswer: 16*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28570.248 minutes to weeks.\nAnswer: 2.83435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 116 - (-3 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6}. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*s = -13, -4*z = s - 4*s - 67. Suppose 28 = 2*h - z. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150000)\/9*(0 + 606). Round i to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2, 16, -3, 42, -0.3 in decreasing order.\nAnswer: 42, 16, 2, -0.3, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14002 - -14034. Let k(r) be the first derivative of 26 + i*r**2 + 16*r + 28\/3*r**3. Suppose k(z) = 0. Calculate z.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4476913 nanograms in milligrams?\nAnswer: 0.0000004476913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + 122211221?\nAnswer: 122210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -12. Let p = 15 - k. Solve -p*a = g - 15 - 1, 5*g - 16 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*z - 212*z + 28*z**2 + 99*z)*(-3 - 1 + 6)*(1 + 0 - 3 + (-2 + 1 + 0)*(-4 + 2 + 3)) to j*z**2 + u + d*z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 - 6339204*x\/5 + 3348792279468\/5.\nAnswer: 3*(x - 1056534)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 28*l - 322. Give a(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-1)*(-4 - 52). Suppose -2*a = 2*a + 20, 4*a = 4*d - c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-10)*4\/(-14))\/(6\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12663 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196040 and 650?\nAnswer: 980200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 76 + 13*j to the form u*j + f and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -2850579600?\nAnswer: 2850579599.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v - 1. Let t be h(-1). Put -2, t, -5, 4 in decreasing order.\nAnswer: 4, t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33858 by 27.\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/9 - 167157392*a\/9 + 3492699212530208\/9 = 0. Calculate a.\nAnswer: 41789348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -0.3 (c) 2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5537 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 1243*t**2 - 47 + 19 + 64 to the form k*t**2 + f*t + u and give k.\nAnswer: -1243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 73\/3. Which is the closest to -0.1? (a) 0 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 2*d - 0*d - 20, -5396*t + d - 67 = -5399*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, z: 5, w: 2}. What is prob of sequence zzwk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13984263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) -2 (b) -0.1 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/60 - d**5\/15 + d**4\/24 + d**3\/2 - 5*d**2. What is the units digit of q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 4*z**2 - z - 3. Let d be u(-2). Let w be (-6 - (-3865)\/645)\/(d\/9). Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(1 + -3). Let u(r) = 4*r + 37. Let d be u(-4). Suppose -4*f = -d*j + 23*j, -2*f = -4*j - 20. Solve -f*g + m = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 16*p**2 + 37*p + 22. Let a be d(-18). Suppose 32 = 7*o - 2*o - a*l, 20 = 2*o - 4*l. Solve 0 = o*j - 4 - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6906*f**2 + 6920*f**2 - f + f + 2*f**3 - 3*f to the form g*f + k*f**3 + u + a*f**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -135401?\nAnswer: 135366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/24 - 323*m**5\/12 - 815*m**4\/12 + 540*m**3 - 2467*m**2. Solve x(y) = 0.\nAnswer: -2, 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251021530 divided by -50204306\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-96)\/(-165) + (-4 - 84\/(-22)). Which is the closest to -2? (a) 4 (b) -6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6576? (a) 0.3 (b) -0.5 (c) -669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 + g**3 - 84 + 0*g**3)*(2*g + 0 + 0) to the form d*g**4 + a*g**3 + h + y*g**2 + z*g and give z.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2*2 - -2). Sort 3\/4, j, 1 in decreasing order.\nAnswer: j, 1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 + 18 = 0. What is the remainder when 55 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1739 - 1737. Let z(u) be the second derivative of 1\/7*u**2 + 0 + v*u - 1\/42*u**3 - 1\/84*u**4. Factor z(t).\nAnswer: -(t - 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/8 - 6)*17*-4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t + 70. Let i(f) = 4*f - 69. Determine -4*i(s) - 3*z(s).\nAnswer: -s + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617347843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*w - 22 = -2*w, 4*f + 5*w - 25 = 0. Let z = f + 1. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, f: 5, z: 2, t: 1}. What is prob of picking 1 t, 1 d, and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1018*m + 1015*m - 27 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = 5. Suppose r*p + 5*d = -11, 3*p - d = 7 + 19. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 11*q**2 + 4*q + 1. Calculate c(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 6, 2, -1695 in decreasing order.\nAnswer: 6, 2, -4, -14, -1695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/965110 and -39\/11?\nAnswer: 10616210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, z: 10, l: 1, q: 3}. What is prob of sequence zlo?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2976)\/3472 - 310\/14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47048593 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -35427058\/5 at least -7085411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11415032\/9 smaller than -1268338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 9748*q**2 + 1025508*q - 26415756.\nAnswer: -4*(q - 51)**2*(q + 2539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 19142 = 2972. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10094 and 273253232?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3976, -3977, -3978, -3979?\nAnswer: -3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14a321b (base 14) to base 15\nAnswer: -d3ebb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25603 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**8\/84 - r**5\/30 - r**4\/4 - 7*r**3\/6 + 46*r**2. Find the second derivative of c(o) wrt o.\nAnswer: 80*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10589*l + 11569*l - 19435*l - 12954 wrt l.\nAnswer: 2723","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.445 - 0.055. Let d = p + 14.1. Let a = 1.6 - 1.9. What is the third smallest value in d, 4, 2\/11, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 41 - 4757*o - 26 + 565*o.\nAnswer: -4192*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.2. What is the nearest to -1\/3 in -0.3, 5, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1035764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b + 6*b**2 + 12 - 2 + b**3 + 5*b. Let r be l(-7). Let i = 15 + r. What is the highest common divisor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/16*-2*12. Let z be d\/(-15)*20\/(-6). Let p be z*1*(-4)\/4. Calculate the highest common factor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*m**3 - 4*m**2 + m**2 - 935*m**3 + 2517*m**3 - m**2.\nAnswer: 2447*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 + 9*l**2 + 12*l**2 - 29*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 969?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 130631875 divided by 6875\nAnswer: 19001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**2 + 96*n**3 - 197*n**3 + 99*n**3 + 3*n**2 in the form v + h*n + a*n**2 + f*n**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230647191*b*d**2 + 2*b - 92289435*d wrt d.\nAnswer: -461294382*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n*n**(-1\/39)*n*n*n*n**(-11)\/n assuming n is positive.\nAnswer: n**(-196\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.4 (b) 0.2 (c) 7\/13 (d) -0.69569 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*h + 91 = 0, 4*f + h - 194 = -h. Suppose 3*n + 3 - 18 = -4*y, 4*n - 4*y - f = 0. Calculate the smallest common multiple of 4 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -32300?\nAnswer: 32204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a - 1. Let c(n) = 13*n - 31. Let p(x) = 11*x - 26. Let y(w) = 5*c(w) - 6*p(w). Give b(m) + 3*y(m).\nAnswer: 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 263, 597, 1065, 1667?\n\"Answer: 67*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49486159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (-1 + sqrt(19))**2 + 2).\nAnswer: -120 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2440, 11218, 25750, 46036, 72076, 103870?\nAnswer: 141418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(78)\/(sqrt(42)\/sqrt(7)) + sqrt(13) + (sqrt(13) - sqrt(52))*-4 - (2*sqrt(13) + -2 - (sqrt(13)*2 + -4))**2).\nAnswer: -12 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s - 324. Let r(i) = 174*i - 614. Let j be r(3). Let p = s - j. Calculate the greatest common divisor of 88 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19518 + -0.20482. Which is the nearest to 2\/9? (a) 5 (b) 0 (c) n (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 6. Let u be l(8). Let v(y) = -3*y**3 + 3*y**2 + 3*y - 1. Let p be v(-1). Suppose 5*m - 4 - 14 = -u*q, -p*m + 4 = 0. Solve -2*x - 4 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 0*p + 3*p)*(-18*p + 4*p - 12*p)*(2*p + 0*p + 0*p)*(5 - 4 + 0) in the form x*p + s + h*p**2 + i*p**3 and give i.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:30 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*(-14040)\/(-57915).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*(-51)\/17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.87092 + 0.12908. Suppose -4 = 5*s + 21. What is the biggest value in q, s, 0.05?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from bmmbxmb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3639832 is divided by 321?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177863005 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v**(1\/8))**(-6) assuming v is positive.\nAnswer: v**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + (7 - 12))*4\/36. Suppose -d + 2\/9*j**4 + 2\/9*j**2 + 2\/3*j**3 - 2\/3*j = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168547797, -168547796, -168547795, -168547794?\nAnswer: -168547793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28 (b) -30 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632938 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, 4, -4, 2154 in ascending order.\nAnswer: -16, -4, 0, 4, 2154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 103\/6, -0.2, -15\/4, 1?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -444, 2, 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219910*u + 439819*u - 219922*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2 - 20*v - 115. Let c be w(-14). Is 1733 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284018 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 153.0011272. What is t rounded to five decimal places?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (sqrt(1300) + -1 + sqrt(1300)*2 - sqrt(1300) - sqrt(1300)))**2.\nAnswer: -80*sqrt(13) + 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.177 + -1.773. Let z = -48 - k. Let v = z - 5.75. Which is greater: v or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857546347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21835 is divided by 4376.\nAnswer: 4331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25175*g**2. Let v(d) = -19*d. Determine m(v(p)).\nAnswer: 9088175*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*z - 27425*z**2 - 795*z + 1803*z**2.\nAnswer: -25622*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 21220\nAnswer: -21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001608 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/24*(-2)\/(-7 - -8). Is 146 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0155 - -88.6845. Let v = 88 - n. Which is smaller: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 12143312.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/17, -0.2, 229, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -24*v - 30. Let g(c) = -2*c - 4. Determine -3*g(d) + s(d).\nAnswer: -18*d - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.105 + -4.105. Let q = 1087\/11 + -99. Which is the closest to -3? (a) q (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5112\/216 + 11\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 5 + 3*h**2 + 7 - 7*h**2 + 23*h - h**2 - 15 to the form t*h**3 + i*h**2 + l*h + m + n*h**4 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459267?\nAnswer: 3, 153089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/9 + 13\/12. Let x = 5.8 - 6. Put x, 3, g in descending order.\nAnswer: 3, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 3*i**2 - 3*i**2 + (-7*i - 11 + 11)*(-10 - 19 - 6*i**3 + 31) to y*i**2 + o*i**4 + d + m*i + n*i**3 and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 smaller than -3832\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**32\/s**13 assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/15 - i**4\/2 - 4*i**3\/3 + 4*i**2. Find a such that f(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + o)*(-o + 3*o - o) + 11*o + 9*o**2 - 14*o + 5*o**2 + (-2 + 1 + 2)*(2*o - 4*o**2 - 2*o).\nAnswer: 11*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*d - 19838 = 477*d + 19282 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1033, -1025, -1021, -1021, -1025, -1033, -1045?\n\"Answer: -2*b**2 + 14*b - 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.1 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*w - 135 + 670 - 84*w + 1439 as d + s*w and give d.\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 294.7 and -51.2?\nAnswer: 345.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 63, -33, -231, -567?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.334 rounded to 0 decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1756 (b) -4 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Suppose -57 = 2*r - 69. Suppose 8*i = -4*m + r*i - 2, -i = -1. Let g(k) = -k**2 + 4*k + 6. Suppose 3 = -2*j - 3. Calculate j*z(h) + m*g(h).\nAnswer: h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6870?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5541*n. Let l(x) = 58*x - 574. What is l(f(y))?\nAnswer: 321378*y - 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let d be z(1). Let g = -87 + 521\/6. Which is bigger: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/2 - 16887*s\/2 + 76113 = 0 for s.\nAnswer: -5638, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/297 and -127\/54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18722 and 3751576?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786 is divided by 1259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 35 + 109. Calculate the common denominator of (-19)\/(-3)*p\/112 and 2\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -170, -3 in descending order.\nAnswer: -3, -94, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -29800000 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*j = 210*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010225 to six dps.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 - 10030384.65?\nAnswer: -10029137.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*w - 275*w - 76*w + 7649 + 5497 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 12*q - 17 - 3\/5*q**5 - 6*q**2 - 3*q**3 + 3*q**4. Factor b(a).\nAnswer: -3*(a - 2)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a + 28*a - 105 - 15*a + 722*a**2 - 6*a wrt a?\nAnswer: 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - (11 - -10)\/3. Solve h*u + 12*u - 5*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 4 - 6*a + 8*a - a**2 + 0*a. Let v(z) = z**2 + 4*z + 5. What is 6*s(w) + 5*v(w)?\nAnswer: -w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30545 is divided by 509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 at most -376654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3690 and 41\/16230?\nAnswer: 1996290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2 + 1199*r - 238. Calculate y(109).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 189685556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 15381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*0*3\/(-9). Let x = 31\/28 + -6\/7. Are x and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 114\/5 + (-2)\/(-10). Suppose 2*p + 15 = -3. Let t = p + x. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 h, and 1 j when four letters picked without replacement from hjhphdppkxxpdpp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.052125ug to kilograms.\nAnswer: 0.000000009052125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/2)\/15)\/((-931)\/5586)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99852 is divided by 33270.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - p**5 - 2*p**2 + (-2208605*p + 2208605*p + 16*p**2 + 35*p**4)*(0 + 0 + 2*p).\nAnswer: 69*p**5 + 32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 336.23453 and -29.\nAnswer: 307.23453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 174850 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, j: 16}. Give prob of picking 2 u and 2 j.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/2 + 9*w**3\/4 - 279*w**2\/4 + 919*w\/4 - 651\/4 = 0.\nAnswer: -31\/2, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 152983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, m: 1, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 + 5*n + 2. Let u be f(5). Let k be 15 + (-2)\/4*u. Is k >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1048\/206121?\nAnswer: 1048\/206121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 807 and 813201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2548572*q = 4*s - 2548568*q + 156, 13*q = -s - 459 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 154. Let r = -543 + 599. Suppose 3*l + 10 = 4*l. What is the least common multiple of l and p(r)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Suppose 5*c = -4*f + 7 + 19, -4*c + 16 = 2*f. Let v be 10 - (-34)\/(-4) - 3\/(-6). Let k(m) = -c*m + 0*m + v*m - 7*m. Determine o(k(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496856*w + 120528*w - 1569492*w.\nAnswer: -1945820*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - d - 3*d)*(0 - 2 + 3)*(3154*d - 1596*d - 1578*d) as w*d**2 + p*d + y and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1651? (a) -0.5 (b) -1\/3 (c) -2\/3 (d) 362 (e) 1\/9 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -822, -839, -868, -915, -986, -1087, -1224?\n\"Answer: -b**3 - 10*b - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 - 2*b + 2. Let l be j(2). Let f(q) = -q**3 + 3*q**2 - 3*q + 4. Let y be f(l). Let o = -1.4 + -3.6. Put -0.3, o, y in descending order.\nAnswer: y, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:36 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aakkkkkakkkkkakkkka.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 157058*f - 314112.\nAnswer: -(f - 157056)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1144 - -3202?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -9, -4, -0.3, -3243, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*s - 151*s = -4123 + 1913 + 13090 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -69*(-3)\/(-42)*6. Let c = 30 + l. Let x = 17094 - 85469\/5. What is the second biggest value in -0.2, c, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -760 + 1146. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1086 + 21737\/20. What is the common denominator of 33\/2 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-65)*(1 + 4). Let s(r) = 4 + 50*r**3 + 5*r**2 - 27*r**3 - 22*r**3 - n*r. Give s(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264689763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**3*j**2*s + 8*h**3 - h**2*j**2*s + 6*h*j**2*s - 2*j*s + 3*j + 3 wrt j.\nAnswer: -8*h**3*s - 2*h**2*s + 12*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.43 or 112223?\nAnswer: -5.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 707329012 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-8) - (-26228)\/2528?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 15*c + 13. Calculate o(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4362 divided by -6.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 + 51*d - 2*d + 997*d**2 - 8*d**3 + 66*d + 22*d**3.\nAnswer: -d**3 + 997*d**2 + 115*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246916\/27 + 9144. Calculate the common denominator of -101\/6 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 - 3*v**3\/2 + v**2\/2 + 11*v. Determine o(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.93883.\nAnswer: -5.81649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, m: 2, p: 3}. What is prob of sequence mm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**3 + 20*u**2 + 2793*u + 38087.\nAnswer: -6*u**2 + 40*u + 2793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5015*m**2 + 75468*m + 254. Determine u(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**4 + b**3 + 3*b**2 - 3. Let o(u) = -4*u**4 - 3*u**3 - 5*u**2 + 5. Let c = 51 + -54. Let y(s) = c*o(s) - 5*j(s). Suppose y(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16730 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 117 (b) 15\/13 (c) 0 (d) -2604\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 163 + 79 = 0. Solve 0 = i*p - 8*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 - 8*c**3 + 24 + (1 - 2 + 3 + c**2)*(-39*c + 27*c + 26*c).\nAnswer: 6*c**3 + 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -32*q**3\/3 + 2. Let b(p) be the third derivative of p**5\/20 + 47*p**2 + 47. Determine b(s(x)).\nAnswer: 3072*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -406 * 0.2\nAnswer: -81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-6\/11)*t**10*t**9*((t**(2\/3)\/t*t)\/t)\/t assuming t is positive.\nAnswer: t**(598\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n - 26. Let w(d) = 3*d - 9. Let s(b) = 2*k(b) - 7*w(b). Give s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 7}. Give prob of sequence jj.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 137906.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*c**4 - 41*c**2 + 2.\nAnswer: 1992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25*2*2\/2. Suppose -5*f = x - 155. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6331*m = -1700*m - 152589 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 85*n**4\/12 - 161*n. Let d(i) = 34*i**2. What is d(o(u))?\nAnswer: 245650*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3 - -5) + -1). Let a(r) = r. What is the units digit of a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14031, -14035, -14041, -14049, -14059, -14071, -14085?\n\"Answer: -w**2 - w - 14029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -3 (c) -0.3 (d) 1709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 - sqrt(7)) + -5 + -1*(sqrt(7) + 2).\nAnswer: -8 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71003 greater than 70983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753 and 7028.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 - 36 = 0. Suppose -4*d = -5*t - 31, -4*d + n = -8. Let r(v) = -7*v + 5. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 3*g**3 + g**3 + (7*g - 2*g + 2*g)*(-2 - 2 + 1)*(g**2 - 3*g + 10*g - 9*g - 2) to j*g**2 + n*g**3 + s + f*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 16696490, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 2 - 2 + (-1 + 2*i + 1)*(-2*i**3 + 6*i**3 - 2*i**3) + 0*i**3 + 0*i**3 + 2*i**4 - 2 + 2 - 2*i**4 + 4*i**4 - 2*i**4 - i**4)*(3 - 1 - 1).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -217 times -1\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -970 * -5876\nAnswer: 5699720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -497, -1972, -4429, -7868, -12289, -17692?\n\"Answer: -491*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (138\/1012 - (-93)\/(-198))\/(2\/84)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4338 divided by -2169\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:18 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + 4*t**2 + t**2)*((t - 1 + 1)*(5 + t - 5) - 3*t**2 + 5*t**2 - 4*t**2) as i*t**3 + n*t**2 + y + r*t**4 + q*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 1317024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333543 (base 6) in base 5?\nAnswer: 12341013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25333 - 25334. Which is the nearest to n? (a) -0.4 (b) -1\/5 (c) 0.1 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*y - 7*j - 19, 5*j - 2 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 4283*m**2 + 17 + 3144*m**2.\nAnswer: -1139*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -3\/26, 5, -764\/9 in descending order.\nAnswer: 6, 5, -3\/26, -4, -764\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*5\/(15\/(-6)). Let r be ((-3)\/a)\/((-6)\/8). Suppose r*d - i - 24 = 0, -d = -0*d - i - 10. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, b: 4, e: 3}. Give prob of picking 1 b, 1 u, and 1 e.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41290, -47986, -59138, -74740, -94786, -119270, -148186, -181528?\nAnswer: -219290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(171) + 2 + (-4*(1 + sqrt(171)) + sqrt(171) - sqrt(171)) - 4*-6*sqrt(171)*-2*5) + 0)**2.\nAnswer: 2964*sqrt(19) + 10432543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209500 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 - 51633929*a**2 - 666515630177295*a + 666515681811225 = 0 for a.\nAnswer: -25816965, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, 1 k, and 1 f when four letters picked without replacement from {v: 1, c: 1, k: 2, f: 1, x: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**3\/n)*n*n)*n*n\/(n\/((n\/(n*n\/(n*n**(-1))))\/n))*((n\/n**(-13))\/n)\/n*n**18 assuming n is positive.\nAnswer: n**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-316)\/120 - -3 - 1\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - q + 4. Let u(s) = -3*s**2 + 23*s + 8. Calculate 2*i(b) - u(b).\nAnswer: b**2 - 25*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 + 164. What is the greatest common divisor of q and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -1\/190*d**5 + 0*d**2 - 8*d + 0*d**3 + 1\/114*d**4 - 11. Let o(m) be the first derivative of u(m). Factor o(h).\nAnswer: -2*h**2*(h - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 1. Let j(d) = -9*d**2 + 8*d + 3. Let y(o) = j(o) - 6*t(o). Let x(a) = 4*a - 11 - a**2 + 0*a**2 + 28 - a**2 - 12. Give -7*x(u) + 4*y(u).\nAnswer: 2*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1271 and 1312.\nAnswer: 40672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let p(b) = -76751520*b**2. Determine p(z(d)).\nAnswer: -76751520*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 52*v - 10364. What is r(199)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(2*u**3 + 2*u**3 + u**3) + (2*u**2 - 2*u**2 - u**2)*(-4*u + 2*u + u) + 20 + 8*u**3 - 20.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -414, -598, -970, -1596?\nAnswer: -2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -8. Let q = 14 + w. Find the second derivative of 5*a**3 - 14*a**3 + q*a + 10*a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 746.318 + 0.133997853\nAnswer: 746.451997853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 550*b + 9047. Let r(x) = -194*x - 3016. What is -6*p(u) - 17*r(u)?\nAnswer: -2*u - 3010","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7956863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1687099 * 1\nAnswer: 1687099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - b - 2. Let r be n(-2). Let v(t) = t**2 + 49*t - 50. Let g be v(-37). Let o = -4448\/9 - g. Sort o, r, 2\/17 in descending order.\nAnswer: 2\/17, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.07, 2\/11, -2\/17, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*(-4)\/207. Let f = -348069869\/345 - -1008899. Let s = z + f. What is the second biggest value in 3\/5, s, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(4\/9)\/t)*t)\/t*t*t**(-26) assuming t is positive.\nAnswer: t**(-211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/925?\nAnswer: -3\/925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1889de (base 16) to base 15.\nAnswer: 21b758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:12 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h. Suppose -4*x = -31 - 25. Let g be 36\/x + (-16)\/28. Let c(o) = 2*o**2 + g + 0*o**2 - 2. Calculate c(a(q)).\nAnswer: 200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2. Suppose 5*x = -41*i + 37*i + 20290, -5*x + 10150 = 2*i. Let c(p) = 3*p - 5070 + i. Calculate c(s(h)).\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1)\/sqrt(4) + sqrt(36))\/((sqrt(12) - (1*sqrt(144))\/sqrt(12)) + sqrt(12)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 + i - 3. Let c be p(8). Solve 0 = -z + 3*x - c*x - 2, 3*z - 10 = 2*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2 + 7*i**5 - 3*i**2 - 7*i**2 + 3*i**2 wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/29))**(-11\/6))**(-5) assuming h is positive.\nAnswer: h**(55\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xttp when four letters picked without replacement from {p: 2, x: 2, t: 5}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20*f. Let z be a(-1). Let w = -3 + 4. Let s be z\/6 + w\/(-3). Solve -s*d = 2*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 + 14 = 2*q, -q = 4*i - 14. What is the third derivative of -1463 + 2*w - q*w + 1463 - 194*w**2 + 25*w**3 wrt w?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyys when four letters picked without replacement from {s: 3, j: 2, k: 1, y: 2, q: 1, m: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 2*k - 8. Let w be b(-2). Let u = w + 10. Solve -12 = -2*s + u*x, -4*s + 0*s + 2*x = -14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 376 - 504 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5, 5*r - 30 = -t - 2*t. Let b be r*(10\/6)\/1. What are the prime factors of b\/60 + (-502)\/(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 2341*c**6\/30 - 130*c**2 - 7*c + 10. Differentiate r(s) wrt s.\nAnswer: 9364*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3958452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02385 - 0.02615. Are -0.02 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 0.1747917339408\nAnswer: 0.1252082660592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16098\/5 or -3219?\nAnswer: -3219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 273, 410, 547, 684, 821?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*n + 27 = 0, -4*v + 7068*n - 42 = 7073*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**3 - 8*p**2 + p - 2. Let s(n) = 27*n**3 + 34*n**2 - 4*n + 9. Give -9*a(f) - 2*s(f).\nAnswer: 9*f**3 + 4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irdr when four letters picked without replacement from iddiiiiidrri.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2236, -0.1, -78, 1 in ascending order.\nAnswer: -2236, -78, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.112?\nAnswer: -0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/11 + 6*r**4 + 122*r**3\/11 - 6*r**2 - 124*r\/11 = 0.\nAnswer: -31, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -22?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 964113 + 8435887. Round k to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**3\/3 - 5*q**2\/2 + 3*q - 118. Calculate y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 3*x**2 - 6*x**2. Let w(i) = -3*i**2 + 9*i + 9. Let p(y) = 2*y**2 - 5*y - 5. Let u(a) = -9*p(a) - 5*w(a). Give s(u(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**2 + 34*v - 307. Is c(17) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -5008164\/5?\nAnswer: -5008164\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 19 = -3*n, -340 + 188 = 2*n + 3*y - 182 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:00 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-8) - (-3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -475\/7 + 68. Let x = 0.04 - 0.1. Let r = x - 2.94. Which is the third smallest value? (a) u (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -6. Let q(v) = -13*v. Let u be q(2). Let m = d - u. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/75*-12 + 2424373\/245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76219 - 76222. Let j(a) = -3*a + 7. Let t(k) = -2*k + 4. Let x(p) = 3*j(p) - 5*t(p). Let w(i) = -2*i**3 - 2*i**2 - i + 3. Calculate l*x(f) + w(f).\nAnswer: -2*f**3 - 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 11*v - 10. Suppose u - 2 = y - 1, -2*y - v*u - 2 = 0. Put y, -5, -3, 5 in descending order.\nAnswer: 5, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/149 - 163\/1043. Let j be 42 + (7 - 3) - -4. Suppose 3*o - j = -2*o. Put 0.1, o, q in ascending order.\nAnswer: q, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**2 - 3*m**2 - 3*m**2 + m**3 + 3*m**2 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.06, 156, -10, -0.3 in descending order.\nAnswer: 156, -0.06, -0.1, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1398.349 and -0.4.\nAnswer: 1397.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1223312 and 9084.\nAnswer: 3669936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 623 = -478. Let m = i - 215. Calculate the remainder when m is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 962*x - 482*x - 480*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8088*s**2\/7 - 24006*s\/7 - 774\/7 = 0.\nAnswer: -43\/1348, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-316)\/108 + 3). What is the closest to -1 in -1, -5, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 9*w**3 + 5*w**3 - 101 + 17*w + 39*w - 5*w**3 - w**2. What is the first derivative of t(g) wrt g?\nAnswer: 54*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:12 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/14, -0.234, 0.3?\nAnswer: 19\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4582, -2 in increasing order.\nAnswer: -4582, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/250 and (-42)\/(-56)*2 - 99\/40?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -69*n - 273. Let g be c(-4). Solve -v - 5*w + 17 = 0, g*w - 1 = -2*v + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41975 and 90.\nAnswer: 755550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 2*q - 21. Let h be a(6). Let r(z) = 49*z**2 - 5*z + 6. Let p be r(h). Let w(x) = 2*x + 432 - p. Let g(s) = 3*s. Give w(g(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*f**2 - 3*f wrt f.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * 1.449.\nAnswer: 0.36225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -1786272904394\nAnswer: 1786272904394.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8759660571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2166 - -2165.9. Which is the third smallest value? (a) 0.3 (b) r (c) -4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 53 = 3*b + 2*i, 2*b - i - 17 = 0. Suppose 0 = -4*p + 3 - b. Let j = 0 + -4. What is the biggest value in 3, p, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*l**2 - 23*l**2 + 26*l**2.\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 8*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -17193.\nAnswer: 20\/17193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*f + 10 = 0, -4*c + 4*f = -0*c - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3 = 3*a, c = 5*a + 11. Solve -1 = 3*d - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51068 divided by -1502\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 - 2*r + 4*r**2 + 4 - 6*r. What is i(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 14837 - 16475 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + (4 + -5 - 0))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - 2*n**2)*(-7*n - 1 + 12*n - 2*n - n**2).\nAnswer: 2*n**4 - 6*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -394978*x + 394979. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 9*l**2 + 7*l - 13. What are the prime factors of q(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyr when three letters picked without replacement from {w: 1, y: 2, g: 1, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/12 - 5*x**3\/6 + x**2\/2 - 4*x. Let f be m(-4). What is the derivative of 2*c**4 + c**4 + 1 - f*c**4 wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2669, -2676, -2683, -2690, -2697?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 755503 divided by -107929\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 29*p + 25. Determine w(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**2. Let m(r) be the third derivative of r**5\/30 - 32*r**2. Determine f(m(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 2*s + 5382 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*-3)\/sqrt(5))\/(sqrt(6)\/(1*sqrt(3))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -72\/5, -0.12, -0.3, 1, -0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149)\/(8493\/1908) + 34\/1.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**2 - 3*c + 5. Let y(d) = 35*d**2 - 8*d + 13. Determine -8*x(b) + 3*y(b).\nAnswer: 17*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90*h**2 + 4*h**3 + 90*h**2 - h**3 + 5*h**3 - 3*h**3 + (-2 - 2*h + 2)*(0*h**2 + 0*h**2 + h**2) + 4*h**3 + 7*h**3 - 2*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/1020)\/(9\/(-10))*-10?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689724 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/((-69642)\/(-1971)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 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 j(p) = -224*p + 7157. Determine j(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-5)\/(-15)*3). What is the common denominator of (50\/44)\/((-4)\/(-8)) and (-3)\/b*(-86)\/10?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2286 and 36576?\nAnswer: 36576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 215039708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 7*g**2 + 7*g + 9. Let r be a(-6). Let x(t) = -2*t - r*t + 3*t + t. Calculate x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 91 + 19 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 10*(2 + 3\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7578\/1684)\/(387\/4)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s**3 - 2986*s**2 + 5971*s**2 - 2985*s**2.\nAnswer: 64*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 201*q + 139 = -203*q, d - 151 = -4*q. What is the remainder when 827 is divided by d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99)*3*-4)\/(sqrt(99)\/sqrt(99)) - (-1*sqrt(110)*-4)\/(sqrt(10) + sqrt(10) + 2*sqrt(30)\/sqrt(3)).\nAnswer: -34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 64?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 177878528, 177878527, 177878526?\n\"Answer: -v + 177878529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (-279)\/(-21) + 2\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.02, -2, 3.9, -1.\nAnswer: -2, -1, 0.02, 2\/5, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*r - 3 = 2*r, 0 = -3*s - 2*r + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -290.9273 and 0.82.\nAnswer: -290.1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 5266945 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-69 + 90).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -50 + 12 + 16 + 3*l + 12. Let b be f(5). Suppose 0 = b*m - 5*z - 1905, 0*z - 4*z = m - 381. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1\/m*m)**(-38)*m**(2\/25)\/m*m*m\/m**(2\/25) assuming m is positive.\nAnswer: m**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**3 + x + 1. Let k = -7 + 6. Let c be q(k). Is c at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 7*y - 24. Let w be i(-9). Let p be ((-16)\/12)\/(4\/w). What is the greatest common factor of 26 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 297986117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -405. Let f = h + -16. Let s be 26\/f - (-3)\/5. Solve d = s + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 2 = 2*i - 5*c, 5*c + 5 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12078377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 - 2*r + 12. Let m be d(6). Let z(x) = -2*x - 3*x + 3*x**2 + 4*x + m*x - 1. Let v(n) = 2*n**2 - n - 1. Calculate -5*v(c) + 3*z(c).\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -2*-3*sqrt(143) + sqrt(143))\/(5*3*sqrt(11)).\nAnswer: 8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 6 = 5*n, 43*n - 35312 + 35550 = 5*w for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 4*b + 8*b**3 + 8*b**2.\nAnswer: 8*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 3, a: 1, z: 5, g: 1}. Give prob of picking 2 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 14 + (-7 - 4) + 7 + 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 3*v. Let o(r) = r. Suppose -3*l - 3 = 3*b, 0 = 5*l - 10 - 0. Give b*o(w) - k(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 0, 17, -1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4\/13))\/g**14)**(-17\/5) assuming g is positive.\nAnswer: g**(561\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6792*q = 6796*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305 - -306. Which is the nearest to 1\/5? (a) 5 (b) m (c) -0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-18\/11))**49 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 14*l + 224. Give j(0).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 230123 (base 5) in base 3?\nAnswer: 102012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 6*t**2)*(24*t - 2*t - 2*t + (-3*t + 4*t + 0*t)*(1 - 1 + 1)).\nAnswer: -126*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/4)\/(33*(-37)\/(-9768))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1017 - 0.101696334. Round z to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -484999*f**2 - 2*f. Suppose 9*h = 4*h + 10. Let w be d(h). Round w to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16674040 to the nearest 10000.\nAnswer: -16670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 25 = -0*f. Let d = f - 5. Suppose -3*p + d - 12 = 0. Let h(j) = -j**2 - 4*j - 2. Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i - 215 = 412 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 - 4*b + 6. What is z(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61025324119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -112.2 (b) 4\/7 (c) -6537 (d) 5 (e) 0.5 (f) -2\/19 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12.17 times -162\nAnswer: 1971.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 + -1?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2035 (base 8) to base 3.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**3 + 6*k**2 - 6*k - 8. Let c(b) = 1 + b + 2*b**3 - b**3 - 6 + 6 - b**2. Let h(r) = -6*c(r) - z(r). What is the first derivative of h(g) wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*f + 240 = 0. What is the greatest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102357574 - 14225784. Let j = c - 88131789.00999427. Let m = j - 0.99. What is m rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 343 = 4*l - 4*v, -5*l - 395 = -5*v. Which is bigger: -81 or l?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*g**4 - 82*g**2 + 21*g**2 + 35*g**2 wrt g.\nAnswer: 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -9, -5, 12 in descending order.\nAnswer: 12, 5, 2, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098365523 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-15 + 3 - -20) + 1 + -3 + -40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1158 - -12?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-14)\/49)\/((-4)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/18))**(-1\/8)\/(j\/(j*j**(7\/3))*j*j**10*j*j) assuming j is positive.\nAnswer: j**(-1537\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 330873283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -232270\/1629?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*h = -99, -3*h - 59 = 4*r + 68. Is r\/(-16) + -2 + 15092\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14 + 1 + 26714\/49210\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 14695.\nAnswer: -14694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t**3 - 2\/3*t**2 + 2\/3*t + 2\/3.\nAnswer: -2*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 32*v - 588. Let m be n(-13). Which is the third biggest value? (a) 1 (b) m (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.109 - 0.191. What is the third smallest value in l, -2\/3, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*p + 5*l, 2*l = 23*p - 26*p + 16 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/3 (b) -1206 (c) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + (-64 - -52) + 27.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 3*b + 2. Let y(j) = -j + 1. Determine -i(d) - y(d).\nAnswer: -3*d**2 + 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -11, 5, 0.4, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**5\/20 - 7*o**4\/12 + o**3 + 15*o**2\/2 - 33*o. Let w be v(5). Sort 5, w, 18 in decreasing order.\nAnswer: 18, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 7*d + 2106. Does 64 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((0 - -3) + 0)*19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 4, 0, -4, 1 in decreasing order.\nAnswer: 30, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9190, -9192, -9194, -9196, -9198, -9200?\n\"Answer: -2*r - 9188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfzguggzgugg. Give prob of picking 1 f, 1 z, and 1 g.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -7*d - 1 + 1\/2*d**2. Let s be n(7). Solve -5*c - 6 + 1 = s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/52 + ((-374836)\/(-368) - -1). Let t = x + -1020. Which is smaller: t or 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 5)*-3 - (sqrt(1331) + -1*(sqrt(1331)*4)**2 + sqrt(1331)) - (-2 + (6*(sqrt(1331) + 3) - sqrt(1331))**2*5).\nAnswer: -146712 - 9955*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15387?\nAnswer: 3, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.91977271869 and 0.1.\nAnswer: -10.81977271869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11221101 (base 3) to base 13.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6636\/29 + -212305\/928. What is the common denominator of w and 155\/174?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*a - 20 = 0, -5*a = 2*l - 7*l - 35. List the prime factors of (-4)\/l + (-3 - (-4595)\/10).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 34 - ((-390)\/(-90) + 1\/(-3)). Calculate the highest common factor of 330 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/22386*7)\/(-1*3\/(-18)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 24 = 0. Let r = a + -9. Let m(o) = -2 + 0*o + 6 + 2 + r*o. Give m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20644024680.854 take away -2?\nAnswer: -20644024678.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3324044 by -1.\nAnswer: 3324044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, c: 2}. Give prob of picking 2 a.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 126\/27*(-3)\/(-1). Suppose -12*c + y*c - 1733 = -5*z, -5*z + 1739 = -4*c. Is 88 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -434\nAnswer: -13\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3344, -3346, -3348, -3350, -3352, -3354?\n\"Answer: -2*k - 3342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v - 3*h - 42, -3*v - 5*h = 19. Let i = v - 9. Let d(j) = -2*j**3 - 39*j**2 + 28*j + 15. Is d(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 12*s**2 + 5*s + 5. Let o(x) = -2*x**3 - 12*x**2 - 4*x - 6. Let m(b) = 5*c(b) + 4*o(b). Let u be m(-4). Is u greater than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*l**3 + 0 + 2*l**2 - 4\/3*l.\nAnswer: 2*l*(l + 2)*(2*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17787 is divided by 8890.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4052 + -295790\/73. Let a = 6775\/1606 - p. Find the common denominator of -137\/18 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1491.6 * -0.1\nAnswer: 149.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8*(8 - 11). Let u = 135 - 250. Let k be (-23)\/u + (-9)\/(-5). Which is the smallest value? (a) k (b) j (c) 0.08 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and (-5 - 4\/(-1))*-4.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-58)\/(-12) - 5)*0)\/(-1) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45 - -16.25. Let o = r - 14. Let y = -1.9 + o. Which is bigger: y or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.5 and -2947055.\nAnswer: -2947053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3 - (-2 - 4). Suppose -h*y + 144 = 36. Calculate the remainder when 80 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173292 is divided by 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -176550549 rounded to the nearest 100000?\nAnswer: -176600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11027*t - 11028*t - 1 = -c, 5*c - 5 = -8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -440067*i**3 - 1811324964*i**2 - 37834320*i - 197568 = 0.\nAnswer: -4116, -4\/383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -14159?\nAnswer: -14159.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 449*s**4\/4 - 13*s**3\/3 - s - 701. Find the third derivative of r(p) wrt p.\nAnswer: 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -5*z - 3*d, -496 = -z - 3629*d + 3649*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(153) + -5 + sqrt(153))**2 + (2*sqrt(153))**2*3 + (-2*sqrt(153)*-1 + -4)**2.\nAnswer: -120*sqrt(17) + 3107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*b + 26, 52*l + 21 = 48*l + 5*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 5. Sort x, -1, -2, -3.\nAnswer: -3, -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -1, 26, 83, 182, 335, 554?\n\"Answer: 2*x**3 - 3*x**2 + 4*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 586696\/493584 + 0 + (-56)\/48\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5 + (-7)\/(-5). Let q(y) = y**3 + 18*y**2 - y - 16. Let p be q(-18). Solve -3*g + n*v = -p*g - 15, 10 = -2*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.3 + -11.2. What is the closest to d in 5, 2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2685825*d - 65*d**2 + 2685825*d.\nAnswer: -65*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 1. Let m(i) be the third derivative of 0*i + 0 - 5\/6*i**3 - i**2 + 1\/24*i**4 - 1\/10*i**5. Let b(j) = m(j) + 5*r(j). Factor b(f).\nAnswer: -f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -11 - 24) + 16.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + j + 21 = 0, -3*t + 19 + 4 = 2*j. Let a be (0 - -1) + t + -4. Find s, given that 5*s**2 - 3*s**2 - 16*s**4 - 12*s**3 + 34*s**a - 8*s = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:03 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1597 + 1596.8. Let d = -3.3 + 3. Which is the nearest to p? (a) 0.5 (b) -4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7138734*p. Let u(c) = 49*c. What is y(u(k))?\nAnswer: -349797966*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/3596?\nAnswer: -9\/3596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:10 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 - 4*x - 1. Let o(d) be the first derivative of p(d). Let q(g) be the first derivative of g**3\/3 - 3. Give q(o(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2253 - -2453. Calculate the highest common factor of d and 11200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.3, 11, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 98, 97, 96, 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/1)\/(2*(-4)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*a*i**2*n**2 + 3*a*i**2*n - 35692*a*i**2 + 20*a*i*n**2 + 2*i*n**2 + 14*n**2 wrt n.\nAnswer: 184*a*i**2 + 40*a*i + 4*i + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27822 is divided by 119?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 5.025\nAnswer: 1.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -417171 (base 9) to base 12\nAnswer: -bb631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*v + 91 - 1, -y + 31 = -3*v. Let j = -17 - y. Is (-4)\/22 + (-2943)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 183, 556, 1257, 2388, 4051?\nAnswer: 6348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/63*(-39)\/(-13)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 5, 2, 1\/2893?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a + 1. Let f be s(1). Suppose -40 = f*m - 24. What is the smallest value in 0.5, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 6*u**2 + 5*u + 3. Let k(s) = s**3 + 7*s**2 - 6*s - 2. Let q(l) = 6*c(l) + 5*k(l). Suppose -33*n + 28*n = 0. Does 4 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*c + 5*w - 11, 24 = -4*c + 4*w. Let v = c - -4. Suppose -88 = -i - v*i. Solve -4*n - i = -2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 1. Suppose -a + 4 - 1 = 0. Let d(x) = a*x - x - 3 - x. Suppose 4*q - 16 = 4*l, -4*l + 5*q - 11 = 10. Calculate l*d(w) - 3*g(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49.91 - -50. What is n rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 3*q = -5*c - 7*c + 2*q + 12, 2*q = -10 + 8 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2059 or 2056?\nAnswer: 2059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03025 + -0.03025. Let w = 0.3 + 0.3. Sort w, -3, f.\nAnswer: -3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5207*t**2 - 16041*t**2 + 10826*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -110 - (324 + -259)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/32 in 0, -2350, -0.1, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10220 bigger than -10208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -80. Let s(f) = -3*f + 16 + 14*f - 4*f - q. List the prime factors of s(11).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Let o = n - 4. Which is the second smallest value? (a) 1\/2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 38, 86, 174, 314, 518?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5406 + -5403. Solve 0 = -s*t - 4*i - 7 - 13, -25 = -t + 5*i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34164436*t**4 - 67*t + 16085 wrt t?\nAnswer: -409973232*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*d - 40*d**2 - 21*d - 53*d**2.\nAnswer: -93*d**2 + 278*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56675189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*1 + sqrt(209))\/sqrt(11) + -3.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 4*w**3 + 5*w**3 + (-3*w - w + 2*w)*(w - w**2 - w) - 11*w**3 + 4*w**3 - 18*w**3)*(-2*w + 0*w + 3*w)*(-2 + w + 2).\nAnswer: -24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 10*q - 10*q + 22*q + 150 - 44.\nAnswer: 2*q + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527655678 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(5\/2)\/o)\/o**(-1\/5)*o**3*o**(-2\/3)\/o assuming o is positive.\nAnswer: o**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -396148311?\nAnswer: -396148311.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*k + 2, 2*q + 0*q - 22 = 2*k. Let h be 2 + (-1 - (-2 - -1)). Suppose 138 + 38 = h*p. What is the greatest common factor of q and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -15596\/14831 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 2. Let z = -31 - -36. Give b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a factor of 40331376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70) + (sqrt(70) - (sqrt(70) + sqrt(70)*1 - sqrt(70) - sqrt(70))*-4))\/sqrt(10).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.09 - 18.3561.\nAnswer: -19.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18b92 (base 13) to base 9\nAnswer: -73001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 10. Let h be i(-3). Let g be ((-63)\/(-3))\/((-12)\/(-16)). Let l = g + h. Solve -4*o + 2*o + l*m = -1, -2*o - m = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69.26 + 69.46. Let y = -0.3 - -0.1. What is the closest to 0.1 in y, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*f - 84058 = 625*f for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b + 0 + 2*b - 9. Let r = -9 - -4. Let l(m) = 3*m - 13. Let s be 22\/55 - (-33)\/5. What is r*l(k) + s*f(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 6, i: 4}. Give prob of sequence dc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -4. Suppose -3*s + i = -s - 5*p, -23 = -4*s + 5*p. Suppose s*x - 9 = -3. Solve 0 = 3*v + 2*v - x*c + 20, v + c + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*f + 2*f. Solve 6 = f*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5493*g + 5500*g = -14, g = 3*o - 20 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(385)\/(sqrt(49)\/sqrt(7)) + sqrt(55)))\/(sqrt(20)\/(sqrt(32)\/sqrt(8)*-6 - sqrt(4))).\nAnswer: 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 4*o, -2*l = -o + 7 - 18. Suppose -5*a + 2*q = -310, -2*a = 8*q - 4*q - 148. Calculate the greatest common factor of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -1. Let m = -25 - k. What is the lowest common multiple of 154 and m?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(-3 + (-1*sqrt(396))**2 + -3)*3.\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Suppose 3*h - 9 = 5*c - 1, -c - 4*h = 20. What is the nearest to r in c, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1533 + -939. What is the highest common factor of 66 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -933627*a*n*p**3*r**2 - a*n*p**2*r + 33*a*p**3*r**2 + 2*a*p**2*r**2 - 58*n*p**2*r - n + 2*p**2*r**2 + 147*p - 214*r**2 wrt p?\nAnswer: -5601762*a*n*r**2 + 198*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -351 (base 14) to base 11\nAnswer: -54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -1656, -2936, -4216, -5496, -6776?\nAnswer: -8056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x + c, 4*x = -4*c + 2 + 26. Suppose 4*m - 2*p = 234, -m + 55 = -x*p + 1. Calculate the highest common factor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 7:34 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 857 + -861 + (22 - 3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 552 - 9 + 1142*t + 1139*t + 338*t**4 - 2281*t with respect to t.\nAnswer: 1352*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 123, 189, 259, 333, 411?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -48, 46\/9, -1\/5, -3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 - t + 7. Let p = 5003 + -5003. Give j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3861359736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*(-5)\/((-70)\/6). Suppose 3*b - n = 12 + 3, 0 = -m*b + 3*n + 15. Solve u + b = -o - 0*o, -4 = u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1.64981?\nAnswer: -1.94981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let a(i) = -1501*i. Determine a(q(m)).\nAnswer: 1501*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 218.471 and 109?\nAnswer: 109.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.8, -0.2, 1, 89, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -145 + 5. Let s = o - 8. Suppose -12*z + 7870 = -s*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83743?\nAnswer: 11, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*h - 9325, r + 4*h - 1991 = -147. Does 1871 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x + 9 - 9)*((-x**4 - x**4 + 0*x**4)*(2 - 1 + 0) - 1544 + 1544 + 206*x**4).\nAnswer: -3060*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 79387*y. Let z(h) = -21*h. What is m(z(a))?\nAnswer: -1667127*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3400 (base 13) to base 3\nAnswer: -100222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100 = -219*d + 274*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4547, -39890, -135821, -322634, -630623, -1090082, -1731305, -2584586?\n\"Answer: -5049*z**3 + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16525 + -16524.999. Which is the biggest value? (a) 4 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14684.9 - -15422. Let y = -781 + t. Round y to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5\/4, -8, -185 in increasing order.\nAnswer: -185, -8, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:55 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.82373 + 2.17627. Let o = 0.1 + -0.3. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*f - 1246. What are the prime factors of f?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6*z**3 + 31*z - 31*z + (0*z + z + z)*(-3*z**2 - 3*z**2 + 7*z**2) to the form v*z**3 + d + c*z + t*z**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -981 - -986. What is the nearest to 0.1 in 0.03, 0.2, o, -0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110854, -443415, -997684, -1773661?\n\"Answer: -110854*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, c: 1, o: 9, m: 1, e: 2}. Give prob of picking 1 s and 1 o.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -2 - 2)\/((-2)\/2). Suppose n = 5*y + 5, -4*y - 1 = -3*d - 0*y. Which is the closest to d? (a) -0.2 (b) 0.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10205 - -306323\/30. What is the common denominator of -101\/18 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:58 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25538526 divided by -117?\nAnswer: -218278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 1 + 1 + (-2 - 2*g + 2)*(0 - 1 - 1))*(-68*g**2 - 136*g**2 + 77*g**2 - 168*g**2).\nAnswer: -1770*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.0068 - -33. Let s = l + 0.0271. Round s to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.81354 rounded to one decimal place?\nAnswer: 97.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 - 2*j**2)*(-3*j + 2 - 2) + 3*j**3 - 49*j**3 + 0*j**3.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1969 - -5747.4. What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 4\/7, -10, -12, 4, -1.\nAnswer: -12, -10, -1, 3\/7, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 - 9*p**2 - 381*p**3 - 117*p**3.\nAnswer: -498*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + 6*r**2 - 9*r - 9. Let c(l) = 12*l**3 - 11*l**2 + 21*l + 19. Give -3*c(m) - 7*j(m).\nAnswer: -m**3 - 9*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -274858 - 36275.\nAnswer: -311133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*b - 55*b**3 - 82*b + 2*b**3 + b - b - b + 2*b**3 + b + (0*b**2 - 2*b**2 + b**2)*(2*b + 0*b - 4*b) in the form g + v*b**2 + u*b + a*b**3 and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1918547274 to the nearest integer?\nAnswer: 43801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 4 + 4 + (-11*o + 3*o - 6*o)*(-3 - 5 + 5) in the form k*o + z and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 362079811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.5 + -9.500009882. Round n to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124060 = 290*v - 270*v. What are the prime factors of v?\nAnswer: 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 0.5, 32.24, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.88 - -0.12. Let n(p) = p**3 - 14*p**2 + 14*p + 14. Let m be n(13). Is s less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 15*n**2 - 2*n - 21. What is the units digit of t(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24962*q + 24955*q - 2302*q**2 - 49919*q as l*q + w + h*q**2 and give h.\nAnswer: -2302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6 - (1 + -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19805833 to the nearest integer?\nAnswer: 4450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:48 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 39*x**2 - 250*x + 348. What is d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/87956 and 37\/23988?\nAnswer: 263868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 3*q - 199 - 9*q + 23*q - 12*q to f*q + t and give t.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-16) - 2392\/(-832). Suppose 4*h - 10 = -d*m, -2*h - 19 = 4*m - 29. What is the least common multiple of 212 and m?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 15, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.157 greater than or equal to 3951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 - 2068152*f + 2068148 = 0. What is f?\nAnswer: 1, 517037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 plus 106842?\nAnswer: 106919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8241 at least -8241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**3*x + 4*q**2*x**2 - q**2*x - 272*x**2 wrt q?\nAnswer: 6*q**2*x + 8*q*x**2 - 2*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -764865 divided by -50991\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 16. Let y(r) = r**3 + 3*r**2 - 2*r + 1. What is the remainder when f is divided by y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -21741.\nAnswer: 19\/21741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-7)*x**(-4\/7))\/((x*x\/x**1)\/x**(3\/7))*(x**(-1)*x)**(-12)\/(x\/x**(-2)*x*(x*x**(2\/3)\/x)\/x*x*x) assuming x is positive.\nAnswer: x**(-248\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39516, 39547, 39578?\n\"Answer: 31*z + 39485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s. Let a(r) be the third derivative of -r**4\/24 - 15*r**2. What is 7*a(n) - 2*g(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 145\/10 - (-2)\/(-4). Suppose 10*u + 16 = q*u. Suppose -j + 1 = -1. Solve 2*h - u - j = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*h - 2*j + 151 = -302*h, 2*j - 93 = 3*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15854427.\nAnswer: 3, 587201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -280.8 bigger than 0.93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(262\/7205) + (-2)\/8?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 8*z - 45. Does 14 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-5)\/((-20)\/(-36)). Suppose 0 = -n*v + 2*v. Let h = v + 9. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/3)\/((6720\/(-126))\/(-32)) + 7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 = -42*d - 126. Solve 3 - 8 = m + h, -5*h - d = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.55 or 2102?\nAnswer: 2102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27852262.\nAnswer: 2, 1217, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(2 + 2 - 2)*(10*a - 33 + 33).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627 is divided by 701.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -916 + 1064. Does 74 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4333\/(-14)*(-3 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109777879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*w - 186*w = 165 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:21 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*j**3 - 50*j**2 + 147*j**3 - 66*j**3 - 2 as d*j + u*j**3 + m + z*j**2 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1819290 to the nearest 1000.\nAnswer: 1819000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (4 + -1) - (-119 + 118)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 14) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 9) in base 15?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y - 16*y - 25*y**3)*(-145 + 3 - 145 - 36 + 85 - 137).\nAnswer: 9375*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154588051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130)*-2*1 - ((sqrt(130) - 2*sqrt(130)*-2 - sqrt(130)) + sqrt(130)))\/(sqrt(90)\/(-1*sqrt(9)) + sqrt(90) + -2*sqrt(90)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -558833*g**3 - 93707*g**2 + 3?\nAnswer: -3352998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - r - 2. Let m be o(2). Let z be (-15*9\/(-45))\/((-1)\/m). Let d be (-48)\/168 + z\/35. Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m*x - 17*m + 74*x wrt m?\nAnswer: 3*x - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59\/264 - -1\/24. Let k = 0.253 - 0.053. Let m = 278 - 262. What is the biggest value in -0.2, y, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.071 - -0.1287. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4404*s. Let d(b) = 2*b**2. What is i(d(f))?\nAnswer: 8808*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**3 - 34518*p**2 + 4*p + 34518*p**2 as o*p + j + l*p**3 + b*p**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (-11 - (-13 - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 20 = -2*v. What is the second derivative of -a**v + 3*a - 4*a + a + 2*a wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.11 and 202482 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 11*h**3 + h**2 + 3 + 0*h**3 - 8*h**3 in the form y + u*h**2 + x*h + a*h**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 4, -5\/2, -0.6, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 - -360. Put h, -2, 4, -10 in descending order.\nAnswer: 4, -2, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4658202 or 4658204?\nAnswer: 4658202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + w + 2 + (-15 + 11 + 3)*(-18 - 9*w + 18).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, -28, -68\/5, 219 in decreasing order.\nAnswer: 219, 4, 1\/3, -68\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:39 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 25*u - 87. Give n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 less than 3042.484986791?\nAnswer: 3042.354986791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 20.9, -82?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -35*h + 4 + 10*h + 10*h + 15*h + 10*h**2. Let t(w) = 4*w**2. What is t(f(g))?\nAnswer: 400*g**4 + 320*g**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783057.\nAnswer: 3, 11, 61, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/5 - 4*m**3\/5 - 2*m**2\/5 + 12*m\/5 + 379. Let t(j) = 0. Calculate j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 6, o: 13}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:45 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -c - c + 4, 0 = -4*n + 8. What is the third derivative of 6*d**5 + d**2 + 0*d**2 + c*d**2 wrt d?\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 214, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241019, -241020, -241021, -241022?\nAnswer: -241023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579, 1208, 2265, 3756, 5687, 8064?\nAnswer: 10893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*k**5 - k**5 - 7*k**5 + (-k**3 + 5*k**3 - k**3)*(-4*k**2 + 2*k**2 + 4*k**2) + 2*k**5 - 2*k**4 + 2*k**4 + 3*k**5 - 3*k**5 - 2*k**5.\nAnswer: -39*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6808 (base 11) to base 4.\nAnswer: 2030002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6649190 greater than -6649234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3233543417 and 2.086.\nAnswer: -3233543414.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 19588199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -9*g - 103 + 31, -2*g + 8 + 1 = -v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16855 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -18*m + 20*m + 2, -3*q = -18. Solve b = -m*z - 9, 9 = -17*z + 13*z + b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-2)*i))\/(i\/(i**(-6)\/i)*i*i))\/((i**(2\/5)*i*i)\/(i*i*i\/((i*i**(-5))\/i))))\/(i**2*i\/(i\/i**7))**(1\/33) assuming i is positive.\nAnswer: i**(-202\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 22*x**2 + 10*x. Let b(w) = -15*w**2. What is 6*b(r) + m(r)?\nAnswer: -68*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4) + 1 + 0 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1331)\/858)\/1 + (-3)\/(-2)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 1 + 5. Suppose 3*k + p*k - 25 = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 1, w: 8, b: 10}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - b - 62 = 0, c = -3*b - 101 - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 9*d**2 + 10*d + 1. Let w be h(8). Suppose -2*k - 84 = -3*o, 5*o - 104 - w = -3*k. What is the lowest common multiple of o and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46258, 47236, 48214, 49192, 50170?\n\"Answer: 978*y + 45280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 1, w: 1, b: 1, x: 2, z: 2}. Give prob of picking 2 z and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 5, b: 10}. What is prob of sequence bvv?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/8)\/(((-8)\/(-4))\/(-4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6661, 26823, 60425, 107467, 167949?\nAnswer: 241871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-108)\/64)*11\/132?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-2758)*3518\/18. Let v be 4 - -21*338\/(-1773). Let p = v - u. What is the third smallest value in 5, p, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96104952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*x + 26, -4*x + 21 + 3 = 4*o. Let h be 6*(0 + o\/2). What is the third derivative of 3*y - h*y - 9*y**5 + y**2 - y**5 wrt y?\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 l when three letters picked without replacement from {l: 1, c: 2, i: 2, v: 1, g: 1, z: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4656 + -4595. Calculate the remainder when 187 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, r: 2, m: 5, p: 6}. Give prob of picking 1 r and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 7*n + 2. Let l be b(-3). Round l to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -3*h + 64, -4*d - 3*h + 217 = 0. What is the remainder when 156 is divided by d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1946*o + 20842. What is q(-9)?\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 - 7*m + 2. Let h be w(7). Let c(d) = 3*d**h + 2*d**2 - 7*d**2. Let s(z) = 3*z + 3 - 1 - 2. Calculate s(c(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5779729925?\nAnswer: 5, 231189197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c + 2. Let m(j) = 5 - 2 + j + 0 - 4. Let u be m(4). What is x(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 - (-229 + 227).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = -15. Let q = 24 + w. Let f = -19 + q. Solve -2*j = 2, v - 4 = -f*j - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxix when four letters picked without replacement from {m: 4, i: 1, x: 3, y: 1, h: 1, p: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 19712709, 1, 2 in ascending order.\nAnswer: 1, 2, 19712709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*j - 3 + 10, -4*w = 2*j - 2. Solve w*t - 15 = -7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrvv when four letters picked without replacement from {w: 4, v: 3, r: 4, k: 3}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 95, 240*i + 101 = 3*u + 116*i + 119*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109.878 + 110. Let y = k + -0.122012. What is y rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1651 + -1659. Let u(m) = 2*m**2 + 11*m + 1. Calculate u(a).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + k - 129 - 9 = 0, -5*k - 10 = 0. Let t be 2012\/11 + 92\/1012. Let n = -172 + t. Calculate the remainder when c is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 844315516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 8:47 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40495456 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-3)*-1)\/1. Suppose -6 = -o*b - b. Solve 5*t = -3*d + 4, -2*d - 10 = -t - b*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*g + 5*c**3 + 2*c**2*g + 8*c**2 - 802*c - 9*g wrt c.\nAnswer: -12*c*g + 30*c + 4*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434.17922 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -17.3?\nAnswer: -17.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 244\/17?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00147785873 to 6 dps.\nAnswer: 0.001478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -49. Solve 3*d - n = -2*u, -u - 4 = d - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(300) - (sqrt(300) - (sqrt(300) - (-1*sqrt(300) - sqrt(300))) - sqrt(300) - sqrt(300))) + sqrt(300))*1)\/(3*sqrt(216)*-4).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(12) + -4)*-6*-3)**2.\nAnswer: -5112*sqrt(3) + 8929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1464228 or 1464227?\nAnswer: 1464227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4*j - 12859*i*j + 11886*j wrt i?\nAnswer: 4*i**3*j - 12859*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.769 - 1.769. What is the closest to -0.1 in -3, k, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 0*c + (4 - 2 - 1)*(-2*c + c + 2*c))*(19 - 38 - 21)*(0*c**3 + 0*c**3 + 3*c**3).\nAnswer: -240*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 2. Suppose 2*p = -4*u - 2, 2*u = u + 4*p - 14. Let r be y(u). Suppose r*h - 12 = -2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j**3 + 26891*j**2 + 47*j**3 - 26891*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -124, -7, 216, 581, 1124, 1881?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-78)\/(-21) + (-4)\/(-14). Let l be 46 + 60\/45*-2*(-6)\/(-4). Solve -4*u = -y*k + 8, -5*u = 5*k + 2 - l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 412, 828, 1244?\n\"Answer: 416*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4 and 25\/2686996.\nAnswer: 2686996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-4)\/(-10). Let i = 0 - 0.3. What is the biggest value in -0.1, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2324\/(-11039) + 5\/(285\/(-3351))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w**3 - 14*w**2 - 38586*w - 37750928?\nAnswer: -12*w**2 - 28*w - 38586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 635. Let h(p) = -5*p + 604. Give 3*h(l) + 2*q(l).\nAnswer: -3*l + 542","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -2. Let t be (1 - (-12)\/3)*(1 - 0). Sort -2, a, t.\nAnswer: a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*k + 1401*k + 8671 = -4462 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -163 divided by -79972\nAnswer: 163\/79972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 4)*(4 - 4 + 2) + 1 + 2 - 5 + 2 + 1 - 2 - 78 - 12962 + 1674)*(2*i - 2 + 2).\nAnswer: -22738*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1038126, -1037363, -1036600, -1035837, -1035074?\n\"Answer: 763*j - 1038889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n + 9. Let i(o) = 2*o**2 - o + 35. What is i(h(w))?\nAnswer: 72*w**2 + 210*w + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/120*-58 - 4\/3. Let s(d) = -d**3 + 5*d**2 + 9*d - 8. Let y be s(6). Let f be y\/75 - (-74)\/120. What is the smallest value in 0.2, f, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-4 - -6 - 7250003). Suppose y - 2*j - p = 0, 6*j - 7*j - 21750000 = -3*y. What is y rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10341*w**2. Let k(m) = m. Calculate k(t(c)).\nAnswer: -10341*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -79226*a**2. Let d(l) = -6*l + 2. Give d(j(k)).\nAnswer: 475356*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95472, -95537, -95712, -96051, -96608, -97437, -98592, -100127?\nAnswer: -102096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3030*h - 184*h - 1 + 0 + 1653*h. Suppose 4 + 0 = -4*v. Let i be o(v). What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5 - 14. Solve -q = t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 8*q + 10. Let h be r(-7). Suppose 3*f + 3*l - 33 = 0, 3*l = 5*f + 25 - 24. What is the nearest to -1 in -0.1, h, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10273919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*f - 0. What is the remainder when 45 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*o - 65 = 0, 1 - 21 = 4*o for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93952.4us to milliseconds.\nAnswer: 93.9524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 143*v - 10665. What is o(54)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30*(2\/4 + 12\/(-120)). Suppose 0 = 3*p - i, 4*p + p - 44 = -4*b. Let x(m) = -b*m + 20*m - 4*m - 12*m. Let s(q) = -13*q. What is s(x(t))?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**7\/5040 - i**6\/540 + i**5\/180 + 2*i**3\/3 - i. Let f(q) be the second derivative of s(q). Solve f(y) = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -29*h**3 + 4*h**2 + 3*h. Let c be j(-1). Suppose 7*y - 3*y - 180 = 0. Let x be y\/6*(-12)\/(-3). Is c at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/8 - 265193*l**3\/8 + 928155*l**2\/4 - 265184*l - 530372 = 0. Calculate l.\nAnswer: -1, 4, 265186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 217, 233, 249, 265?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.074 + -0.093. What is k rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19893?\nAnswer: 3, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15794 - -6133. Let t = -6272 - y. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*y + 7, 38 = 5*y - 2*y - 4*q. Let w(r) = r**2 + 6*r - 14. What are the prime factors of w(y)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11288 divided by 5644\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -14, 5, -699, -3 in descending order.\nAnswer: 8, 5, -3, -4, -14, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*k = -987*k - 926*k - 120746 - 13122 for k.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*j - 130399985, 0 = -2*y - 2*j - 57945158 - 7254852. Round y to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g + 2*g - 87*g)*(6*g**2 + 0*g**2 - 4*g**2).\nAnswer: -150*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 176.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v. Let c(s) = 5*s**2 + 8*s - 2*s**2 - 8*s. Give f(c(x)).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/18*(1 - -2). Let a be 1 - ((-18)\/g)\/(-3). Let w = 21123 + -21123.36. Is a not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -117*m**3 + 9*m - 10. Determine s(1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c + 70*c + 19*c + 30*c to m*c + r and give m.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 17*t - 25. Calculate o(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 368, 322, 258, 176, 76, -42?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 9, 2*p - 5*p + 39 = -5*o. Let u = -5 - o. Put u, -4, 5 in ascending order.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/(1 + -2). Let t = 19.8306 - 3.8306. What is the closest to -1 in t, 3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362989733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 + 7*q + 3. Let t be n(-7). Suppose z = t*z - 10. Solve -z*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -34, -75, -128, -193, -270?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:01 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -12. Suppose 8*n - 3*n = 15. Suppose -y + 5*l = -n, -y + 0*l + 43 = 3*l. Calculate the highest common divisor of y and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/70)\/(1\/(-4))*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014 is divided by 268.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -3 + -390 + -5. Let g = 444 + c. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*m = 117*m + 281 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510558 is divided by 14172?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*s + 20 = 0, s = -5*d - 0*d - 5. Suppose 19*g - 18700565 - 1629435 = d. Round g to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259583, -1038300, -2336153, -4153142, -6489267, -9344528, -12718925?\nAnswer: -16612458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -34*h**3 + 2*h**2 - 2*h - 2. Let t(u) = u - 14. Let o be t(12). Let q be p(o). Let j = -101 + q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**2 + 2*h**3 + (-2 - 2*h**3 + 2)*(4 + 2 - 4) + 5*h**3 - 3*h**3 - 3*h**3 + 4*h**3 + 0*h**3 + 5*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -5693855.\nAnswer: 1708156.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**3 + 82600*v**2 - 1157635*v - 4216170 = 0. Calculate v.\nAnswer: -16534, -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 - 37*c**2 + 15*c - 24. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1101111111?\nAnswer: -1101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110001001?\nAnswer: 110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -197*m**7\/35 + 911*m**3\/6 - 946*m**2. Differentiate u(v) with respect to v.\nAnswer: -4728*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2792649 divided by -139\nAnswer: -20091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + 5*-4*sqrt(2057)*1)**2.\nAnswer: -880*sqrt(17) + 822804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**7\/35 + l**5\/15 + l**4\/24 + 5*l**3\/2 + l**2 - 55*l. Find the second derivative of w(m) wrt m.\nAnswer: 72*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -5*k**2 - 13 + 19\/4*k**4 + 0*k + 0*k**3. What is the second derivative of p(r) wrt r?\nAnswer: 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)\/((-425)\/145 - -3). Let g = 51 - f. What is the smallest common multiple of 6 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 7*v**3 + 6*v**3)*(-320*v + 1 - 370*v - 4 + 221*v + 3).\nAnswer: -5159*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13208 divided by -4\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 13*x**2 + 13*x - 9. Let f be n(-14). Suppose -16 + 44 = 4*d - 4*y, f*y = -2*d - 7. Which is the nearest to -2\/5? (a) 3 (b) d (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12765, 12764, 12763, 12762, 12761?\n\"Answer: -y + 12766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 - 364. Solve -1912*i - 7*i**2 + i**2 + m + 4*i**4 - 2*i**2 + 6*i**3 + 1906*i = 0 for i.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945 - (4 + 2 + -14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -596, -830, -1100, -1406, -1748?\n\"Answer: -18*p**2 - 180*p - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237680*d**6 + 20*d**5 + 51*d**2 + 1785*d + 3.\nAnswer: 28521600*d**3 + 1200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.7 and 1351.\nAnswer: 4998.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 - 127*a**2 + 2300*a + 221. What is d(-56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*x - 7*x + 2985*x**3 - 26*x.\nAnswer: 2985*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6))**(-1\/41) assuming x is positive.\nAnswer: x**(-5\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.2 (b) 30 (c) -942 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281 minus 6?\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 1 - 16. Solve -p + 17 = l*x, 3*x + 13 = 6*p - p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - 16*w**2 - 18*w**2. Let g(p) = -212*p**2 + 294*p**2 - 87*p**2. What is g(n(d))?\nAnswer: -3125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14002 + 22104?\nAnswer: 41111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 496759 times 27\nAnswer: 13412493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvwwvw. Give prob of sequence wv.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3211929, 6423854, 9635779, 12847704?\nAnswer: 16059629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*w - 3, -w = 3*l - 11 - 8. Suppose 2*j = -0*j + l. Suppose -66 - 15 = -j*h. What is the highest common divisor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 166. Let r = v - 118.869. Round r to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(2 - 9\/(-2)). Let l = -5 - t. Let c be l\/(-36) - (-14)\/(-18). Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 534, 1619, 3746, 7263, 12518, 19859, 29634?\nAnswer: 42191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260315 is divided by 1364.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. Let d = 4 - n. Suppose d + 16 = -5*m. What is the closest to 1 in -2\/9, -2, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**7\/15 + 37*k**6\/3 - 19451*k**5\/30 - 2809*k**4\/6 + 2059*k**2. Determine r so that q(r) = 0.\nAnswer: -2\/7, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*i**2 - 15 + 207 + 34 + 139.\nAnswer: -2*i**2 + 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + d**3 - 2*d**4 - d**3)*((3 - 1 - 3)*(2*d - 1 + 1) - 2*d - 2*d + 3*d - 11*d - 2 + 2).\nAnswer: 28*d**5 - 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(5) + 1*((sqrt(5) - sqrt(5)*1 - sqrt(5) - sqrt(5))**2 - sqrt(5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Suppose 0 = 6*t - 2*t - 2*f - 30, 3*t = 5*f + 40. Let k(d) = -4*d - d - 6*d + t*d. What is v(k(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 5*d + d)*(-3*d**2 - 4*d**2 + 5*d**2) + 5003*d - 5003*d + 215*d**3 + 122*d**3.\nAnswer: 345*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79451?\nAnswer: 79451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2069 - -4.\nAnswer: -2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -77, -138, -265, -482, -813, -1282?\n\"Answer: -4*m**3 + 3*m**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644998, -1289946, -1934896, -2579848, -3224802, -3869758, -4514716?\nAnswer: -5159676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 30 + 13 + -8 + -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5)\/d)\/(d**5\/d))\/((d\/d**7)\/(d*d**(-7))))\/((d*d*d**(-2\/9))**(-1\/11)*d**5*d*d*d**(4\/5)) assuming d is positive.\nAnswer: d**(-8731\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) - (-5*(-1*sqrt(65) + sqrt(65)) + sqrt(65))) - sqrt(65)) + sqrt(65))\/((sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -11. Sort -1, k, -2 in increasing order.\nAnswer: k, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 2*q**2 + 2*q**2 + (61*q - 553*q + 296*q)*(0*q + 0*q - 4*q - 2) in the form t*q + a + v*q**2 and give t.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Suppose 9*s = 10*s - 2. Let f(j) be the first derivative of -2\/3*j**3 + 0*j + 0*j**s - 2. Calculate m(f(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -504779, -2019183, -4543191, -8076803, -12620019, -18172839?\n\"Answer: -504802*a**2 + 2*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4621 is divided by 272?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 j when four letters picked without replacement from jgjjjjjjjjg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558185586.\nAnswer: 2, 11, 7927, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 11 + 8. Suppose -15*m - 4 = -13*m. Suppose -21 = 2*w - 5*w. Put 2, m, j, w in ascending order.\nAnswer: m, j, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7129604.\nAnswer: 2, 37, 67, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d**3 + 688*d**2 + 85*d - 8988. Calculate i(49).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 12 + 3. Let h be (-1 - g\/6)*-2. Let d be (15\/(-35))\/(h\/(-2)). What is the second smallest value in -5, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekekokgjge. Give prob of sequence kje.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c3fe (base 16) to base 12.\nAnswer: -25052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9787*j - 39124. Determine h(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4170409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1758, -4, 1\/4, -1\/3, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3355022 and 4444?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3024 + 3?\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5560 and 5560?\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + 9 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33489*n + 286*n**3 + 33489*n.\nAnswer: 286*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - 4. Let h = -85 - r. Calculate the remainder when h is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 8*b + 249. Calculate the remainder when 111 is divided by y(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1078\/33 - (-2)\/6. Let z(q) = -31 - 3*q**2 + 25*q - n*q + 3*q**2 + q**2. Is z(19) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/89370 and 61\/3825036.\nAnswer: 19125180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 288 = -202. Let q be (i\/6)\/((-1)\/(-3)). Let h = q - -31. Which is the second smallest value? (a) h (b) 13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3342 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8*2\/8 - (-44878 + 7 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 184 in ascending order.\nAnswer: 0.4, 3, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let f = -14 - -35. Suppose q*t - f = 3. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from {s: 2, m: 1, o: 1, i: 2, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7770 and 112?\nAnswer: 62160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-105)\/60)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -31af?\nAnswer: -31b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighteenths of a hour?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/48 + c**2\/8 - 21*c. Factor o(p).\nAnswer: -(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 3*w = 1, 2*u + 2*w - 10 = 0. Let c(o) = -o**2 + 5*o - 3. Let i be c(4). Suppose 6 = 5*s + 1. Solve -i = -u*z + s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Let y = o + 6. Let c = 1 - y. Which is bigger: -10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.195355915 + 0.19535. What is m rounded to 7 decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907 - 914 - 10*n - 923 + 2*n + 2723.\nAnswer: -8*n - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1069\/164 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 8\/10513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - -35578669717.\nAnswer: 35578669814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8250 a factor of 1872024000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1746501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, q: 4, g: 8, a: 2}. Give prob of sequence ea.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*v + 88*v = 197*v - 19606 + 61290 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -13*h**5\/20 - h**2 - 11. Let c(m) be the first derivative of m**3\/3 - 2. Give c(u(k)).\nAnswer: 1521*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (1 + (sqrt(80) - (-1*sqrt(80) - sqrt(80)))))**2 - (-5*((sqrt(5) - (sqrt(5) - (sqrt(180) + sqrt(5)))) + sqrt(5)) + 4)**2.\nAnswer: -7695 + 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atkataf. What is prob of picking 1 k and 2 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 10, c: 3, u: 1}. Give prob of picking 2 l, 1 f, and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 746*y**2\/15 - 62654*y\/15 - 56.\nAnswer: 2*(y - 84)*(373*y + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from zihhiz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124499769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -250331, 8 in ascending order.\nAnswer: -250331, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -60*v**2 + 7*v - 7. Let h be a(1). Let y be ((-48)\/h)\/((-12)\/(-30)). Solve -l = x, 0 = -y*x - 0*l - l + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15979, 32049, 48119?\n\"Answer: 16070*k - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6*j = -8*j - 10897, 0 = 3*i - 2*j - 6539. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, v: 1, e: 1, k: 1}. What is prob of sequence ev?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 19 = n, 3*n - 3 + 9 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 5718818.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 73876*o**3 + 340919196*o**2 + 1706443380*o.\nAnswer: 4*o*(o - 9237)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -359571 or -359599?\nAnswer: -359571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcchuwc. Give prob of picking 1 h, 1 u, and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 - 2*y + 6. Let n be m(-3). Is n equal to 19\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*z**3 + 124*z**3 - 100*z**3)*(11 - 11*z - 11).\nAnswer: -3201*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 - (-11 + (3 - 7) + 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 21. Let n be 1\/(-1) - (-12)\/k. Let j be 1\/12*18\/(-4). Which is the closest to 0? (a) -4 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 1554, 2329, 3104, 3879, 4654?\nAnswer: 5429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*m**4 - 2*f**3 - 304*f*m + 56*m**4 wrt m?\nAnswer: 12*f**3*m**2 + 672*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 - 93. Let q be ((-1)\/h)\/(12\/16). Suppose 5*g - p = 4*p, 0 = 4*g + p + 10. Which is the closest to 0.2? (a) g (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125, -908, -2211, -4040, -6401, -9300?\n\"Answer: -x**3 - 254*x**2 - 14*x + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g**2\/g)\/(g**(1\/6)*g\/g**6))\/((g**1\/g)\/(g\/(g**(-2)\/g)))**(-19) assuming g is positive.\nAnswer: g**(-445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 12. Let t(f) = -87*f - 19. Is t(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -12\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 + -1010?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 0, 2*b + 2*b = 4*z. Suppose 2*m = p - 0*m + 13, -2*p + z*m = 20. Find the common denominator of -31\/22 and 2\/p + 513\/154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 5:05 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*h + 319*h - 66 = 0. Solve 39*b = 36*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)\/sqrt(7))\/sqrt(3) - sqrt(7)) + -3)**2*-4*4.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 639 and 2648442?\nAnswer: 7945326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - m**2 - 4*m - 1. Let x be u(3). Let i = -720.6 - -721. Which is the nearest to -1? (a) x (b) -4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 66. Let p(g) = g**3 - 6*g**2 - 13*g + 4. Let l be p(d). Round l to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -34) + 3 + -21 + -105 + -7 - 4?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 22. What is the tens digit of o\/21 - (-142)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/(-26))\/(63\/36). Sort 0.8, 3, q.\nAnswer: q, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 274450 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2871*n**5\/5 - n**4\/2 + 2*n**3\/3 + 3225*n**2 - 5709. What is the second derivative of t(i) wrt i?\nAnswer: -34452*i**2 - 12*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7352 - 1118 = 11*r. Let s = r - 30. What is s rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31331220211 (base 4) to base 15\nAnswer: -4c481a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3306 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5426351 - 5426351 - 4*i**2 - 1568*i + 0*i**2.\nAnswer: -4*i**2 - 1568*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - g + 15 = 2*g, 10 = 3*j + 2*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11969 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0, -704 in decreasing order.\nAnswer: 5, 0, -1, -704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 2324, 9 in descending order.\nAnswer: 2324, 9, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 19 = -4*x + 31, 5*l + 65 = x for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7883, 7885, 7889, 7895, 7903, 7913?\n\"Answer: h**2 - h + 7883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1181*i**3 + 12*i**2 + 12*i + 91. Let j(f) = -2361*f**3 + 21*f**2 + 21*f + 183. Let r(m) = 4*j(m) - 7*s(m). Find the first derivative of r(x) wrt x.\nAnswer: -3531*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Let w = -353 + 366. Suppose -r = -m*f + 4*f - w, 0 = r - 5. Solve -f*x + 2*x - 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 60*u + 144936 = 0. Calculate u.\nAnswer: -183, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-270)\/(-63))\/((-2)\/(-238)). Suppose -7*m + g = -2*m. Suppose i - 5*i - 2*a = -378, -m = -i - 3*a. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3844*f**2 - 1354080*f + 119246400.\nAnswer: 4*(31*f - 5460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 36*p**2 + 3350142 - 3350142. Let q(d) = 15*d**2 + 2. Determine u(q(j)).\nAnswer: 8100*j**4 + 2160*j**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/348 and 59\/20?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35149137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(11\/3)*d*d)\/((d**(-1)\/d)\/d))\/(d**(-10\/9)*d\/(d**(-1\/2)\/d)*d) assuming d is positive.\nAnswer: d**(113\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*i - 18. Suppose 0*u = -i*u + 32. Let h(l) be the third derivative of l**4\/24 - 5*l**3\/6 + 4*l**2. What is h(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2537 + 2535. Suppose 3*k + 12 = 0, 0 = -5*y + y + 2*k + 16. Suppose -r = -y*r + 5. Put o, r, 3 in descending order.\nAnswer: r, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 944 = k + 4*l, -2*k - l - 935 = 0. Calculate the common denominator of k\/24 + (-6)\/(-9) and -2 + (1 - 22\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/154 + (-560)\/(-704))\/((-9)\/10)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.19, 4\/3, 11 in decreasing order.\nAnswer: 11, 4\/3, -0.19, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 9*d - 14. Let t be k(6). Let q(f) = 3*f - 2. Let r be q(t). Calculate the greatest common divisor of r and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 17 - 3. Let v = w - -3. Solve -3*q = -v - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40 from -0.026.\nAnswer: -40.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256383489 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 v when four letters picked without replacement from vvkvvvvkvv.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*n**2*s - 43*f**3*n - 180*f**3*s + 82*f*n**2*s - 8*n**2 wrt n.\nAnswer: 8*f**3*s + 164*f*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767759 is divided by 589051?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74868 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 17, a: 3}. What is prob of picking 2 y?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 18. Let i(z) = 2*z + 27. Let n(v) = 2*i(v) + 3*u(v). Let t(h) = -2*h**2 - 390*h. Determine t(n(y)).\nAnswer: -2*y**2 - 390*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -16 + 40 - (400\/(-9))\/4.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 33*m - 443 = -m, -5*b + 89 = -7*b - 3*m for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 n when three letters picked without replacement from eanefgfff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 - m**2 - 7*m + 2. Let x(l) be the first derivative of -2 + 5*l + 11\/4*l**4 - 2\/3*l**3 - 10*l**2. Let c(q) = -8*j(q) + 3*x(q). Calculate c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/20 + 9813\/12 + -2. Let z = a + -397. List the prime factors of z.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -3. Let h = -12.1 + 12. Sort b, h, 0.5.\nAnswer: b, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-4)*(-10)\/7. Which is bigger: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 1378728296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 221. Let o = x - 88. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Let p = -45 - -48. Suppose -2*g + 2 = -6. Solve -3*f + p*u = 7*u - g, u - c = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(16)\/sqrt(2)) - (-1*sqrt(3) + -3))**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 + -14672007?\nAnswer: -14672072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49599 and 8613?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.9 * 0.7.\nAnswer: 41.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 75\/(-27))\/(4\/36). Let i(y) = -8*y + 8. Let b(k) = -2*k + 2. What is d*i(m) - 9*b(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 6*w**2 + w + 2. Let p(l) = -l**3 - 17*l**2 + 2. Let j be p(-17). Suppose -4*r = 2*o - 16, -5*o = -3*r + j - 29. What is d(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:46 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -899\/2, -0.3, 3, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n - 874 = 3*j, 3*n - 7*n - 47 + 17 = 5*j for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-1 - -2) + -17 + 52. Let u = 38 - z. Solve j + u = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 14*m**2 + 2*m - 26. Let v be n(14). Solve 0 = -v*c + 3*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 28\/(-10))*10\/(-24).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41a (base 15) to base 8.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 820080 to the nearest 10000.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6323 + -878. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 - -4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - y**2 - 2*y - 1. Let t be f(-1). Suppose -198*g + 1008 = -86*g. Sort 2, -2, g, t in ascending order.\nAnswer: -2, t, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/86 in 2, -0.5, -6, -4, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + 90\/(-264).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 606, -3, 4 in increasing order.\nAnswer: -3, 0.1, 4, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7721 - 0.3.\nAnswer: -7721.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 28*r + 6*f - 12, 5*f = 2*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -33. Suppose -z = h*q - 251, 4*q + 1 = -5*z + 185. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 25*x = -8616. Suppose 3*f - 190 = x. List the prime factors of f.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19709134.\nAnswer: 2, 9854567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -267077, -267076, -267075?\n\"Answer: f - 267078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/39 + 3618\/(-26). Let c = l - -229. Calculate the smallest common multiple of 33 and c.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 5, n: 4, o: 3, k: 2, a: 1}. What is prob of sequence koo?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 573*m**2 + 28024*m - 100. What is p(-54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(245)*2*-5.\nAnswer: -70*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2493 != -2489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 96. Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9025437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1144 - -14?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59\/5? (a) 4\/9 (b) 0.166 (c) 1\/3 (d) 16 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, o: 1, r: 1, a: 1, b: 1}. Give prob of picking 1 o and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 1 p when three letters picked without replacement from {k: 1, m: 1, p: 1, d: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*k)*(14*k + 0 + 3*k**2 - 2 - 4*k**2).\nAnswer: -2*k**3 + 28*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -46*4\/960*2. Let q = -2\/15 - h. What is the nearest to 1 in 1, q, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213069 (base 10) to base 7.\nAnswer: 1545123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17682567*b - 2. Let y(t) = -5*t**2. What is a(y(h))?\nAnswer: -88412835*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -212*(-18)\/(-324) - (-2)\/(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + 4. What is the greatest common divisor of n and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 - -5.9. Let s = -18703\/4 - -4676. Which is the nearest to j? (a) 1.4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 3*k + 15204. List the prime factors of k.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2337668?\nAnswer: 2, 584417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:04 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -661*d**3*s**3 + 14*d**3*s - 2*d**2*s**2 + d**2*s - 2*d - 135*s**3 - 1658*s**2 wrt s.\nAnswer: -3966*d**3 - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354\/11 + -1616\/55. Which is the fifth smallest value? (a) i (b) -4\/7 (c) 4 (d) 3\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105807303 or -1?\nAnswer: 105807303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = -46646 + 221598. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 392\/12 - -1*(-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**4 - 16*n**4 + 5*n**2 + 4*n**4 + 1 in the form d + w*n**4 + v*n**3 + g*n + m*n**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 16. Let s(g) = -2. Let u(b) = 4*s(b) + t(b). Let d(k) = -1 + 2*k + 4 - k. Let f(w) = 11*d(w) - 4*u(w). Determine f(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-15)\/6*2. Let b = 147 - 147.3. What is the second smallest value in 4, x, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, b: 1, s: 3, a: 2, z: 1}. What is prob of sequence cbs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*p - 12, -7 = f - 5*p - 0*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let t be x(-7). Suppose b + 2*r = -b - 4, 4*r = -8. Solve -2*n = b, 2*a - 5*n - t = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.4922 millimeters in micrometers?\nAnswer: 444492.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 139 - 139. Let l(q) = -7*q - 1. Let k(h) = -1. Let j(v) = v**2 - 3*v + 3. Let m be j(2). Let a(w) = m*l(w) - k(w). Determine a(c(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0, -2\/349 in descending order.\nAnswer: 0.08, 0, -2\/349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7608\/77441 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -25*y**2 - 11*y - 17. Let z(n) = -n. Let o(f) = -u(f) - 6*z(f). Let t(i) = -3*i**2 - 2*i - 2. Calculate -6*o(c) - 51*t(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(4 - (-194)\/(-50)). Suppose 0 = -r + 10 + f. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.7103 hours to days.\nAnswer: 4.8212625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -24. Let x(l) = 11 + l + 0*l - 2. What is the lowest common multiple of a and x(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 8*t**4\/3 + 72502*t**3\/3 - 11702642*t**2 + 4147331498*t\/3 - 1034639762\/3 = 0?\nAnswer: -9529, 1\/4, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1320)\/2700)\/(187\/(-102))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/8 + 3*x**5\/4 + 21*x**4\/16 - x**3\/4 - 3*x**2 - 3*x + 428. Determine c so that j(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2563 - -2573. Which is bigger: r or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*27.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17154 and 8150?\nAnswer: 139805100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -3 (c) -1\/4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -1350?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -70475 divided by -9\nAnswer: 70475\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -7) + -10 + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwu when three letters picked without replacement from {w: 1, c: 4, u: 2, b: 3, p: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 10*v**2 - 9812*v + 39346. Give q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l**2 - 2. Let u(q) = -245*q**2. Determine u(n(p)).\nAnswer: -29645*p**4 - 10780*p**2 - 980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1, 68, 0 in descending order.\nAnswer: 68, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/6)\/7*-36. Suppose -192 = 5*m - 502. Let s = l + m. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**3\/3 + 7*b**2 + 15*b - 1. Let w be f(15). Does 28 divide 2 + -4 + w + 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 13. Let i be g(7). Let b be ((-63)\/(-6)*6)\/i. Let a = -39 + b. What is the remainder when 45 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1822 + 1857. Solve -y + 2*i = 5, 7*y - 12*y = 5*i - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/60 + r**4\/3 + 2*r**3 - 3*r**2. Let x be o(-11). Find the common denominator of -2 - 3*69\/x and -43\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7242.971 centimeters?\nAnswer: 72429710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -175, -298, -627, -1264, -2311, -3870, -6043, -8932?\n\"Answer: -17*d**3 - d**2 - d - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -9.\nAnswer: -10, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 83. Suppose j = -a - 6 + 221. Is 43 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4044, 15778, 35326, 62688, 97864, 140854?\nAnswer: 191658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from hhhjhhhjjhjtdghjj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 61691004?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -30*s**7\/7 + 8*s**3 + 33. Find the third derivative of l(g) wrt g.\nAnswer: -3600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39721 is divided by 190?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 - 191 = 37*a - 144 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 20 = -c, -5*o + c + 4*c = -40. What is the units digit of (-28)\/35*(-30)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 115*i + 56*i + 59*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*a + 209*a + 1415*a + 1214*a.\nAnswer: 2316*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294666?\nAnswer: 2, 3, 67, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19419 + 6?\nAnswer: -19413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618408664?\nAnswer: 2, 3, 137, 265451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.052 * -0.086\nAnswer: -0.004472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 2362*d + 2364.\nAnswer: -2*(d - 1182)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 2*d**2 + 2*d + 1. Suppose 4*i + 2*c + 2 + 2 = 0, -4*i = -3*c + 14. What is the units digit of a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t - 1. Let d(y) = 18*y. What is the remainder when c(-3) is divided by d(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455\/(-485)*(-4)\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 2 in descending order.\nAnswer: 18, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1+1889239950\nAnswer: 1889239949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m - 52. Let n be j(5). Suppose n*t = 69 + 171. Calculate the highest common divisor of t and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and ((-2)\/(-25))\/(60\/2225).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 8:52 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20565 by -457.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54258 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 + a + 5. Let b be f(0). Is ((-10)\/(-6))\/(b\/45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 4*j**2 + 2*j + 1. Let z be c(-3). Suppose 0 = 6*v - z*v. Suppose 3*w - 5*s = 325, -6*w + w - s + 579 = v. What are the prime factors of w?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941325797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 8:55 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in 1, 3\/2, -4, 12, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(200) - (-1*sqrt(200)*1 + sqrt(200)))\/sqrt(10))\/((2*sqrt(120) - sqrt(120))\/sqrt(3) - sqrt(40) - 5*sqrt(80)\/sqrt(2)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -3 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**5 + 2*j**5 + 2*j**3 + j**3 + (-3*j + 0*j + j)*(-2 + 2 - 2*j**4).\nAnswer: -j**5 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 10. Determine j(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3072, 3070, 3054, 3018, 2956, 2862, 2730?\nAnswer: 2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b = -41*b - 19. What are the prime factors of (-1 - -5) + -1 - b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57114 - 57113.75749. What is s rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5904 and -0.08.\nAnswer: 5903.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 66, 125, 208?\n\"Answer: 12*k**2 - k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 248\/45 + -1729\/360. Calculate the common denominator of d and 17\/588.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 870707258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/6 - 5*r**3\/3 - 14*r**2 - 30*r. Determine w, given that k(w) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6986 and 0.1.\nAnswer: -698.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h - 9. Let l be s(-3). Let f = -11 - -19. Suppose -6*d + 7*d - f = 0. Calculate the greatest common factor of l and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*-1*21. Let p = i - 3. What is k in -2 - 6*k - 2*k**2 - p*k**2 + 0*k**2 - 2*k**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 20*d**2 - 6*d - 176. Calculate o(10).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1851, 3510, 5169, 6828, 8487?\n\"Answer: 1659*h + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 790, 1826, 3286, 5176?\nAnswer: 7502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*p**4 + 4*j**2 - 11931*j*p**5 + 1584*j*p - 5*p wrt p?\nAnswer: -24*j**2*p**2 - 238620*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(63\/(-98) + 0).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*u - 233*q**3*z**2 + 2*q**2*u*z**2 - q**2*u*z - 9*q*u*z - 15*z wrt z?\nAnswer: -466*q**3 + 4*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 17. Suppose 7*h - a*h = 82. 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: Let l be -13 + 861\/75 + 4\/2. Let a(q) be the first derivative of 0*q - l*q**5 - 3\/10*q**2 - 1\/10*q**6 - 9\/10*q**4 + 7 - 4\/5*q**3. Find j such that a(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/8170 and -139\/35910?\nAnswer: 1544130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 + 274 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2929450, -5858897, -8788344, -11717791?\nAnswer: -14647238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 2*u**3 + u**3)*(0 - 2 + 0 - 4 + 6 - 3 + (-4 + 3 - 8)*(1 + 1 + 1)).\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388\/3 + 64*l + 1\/3*l**2 = 0 for l.\nAnswer: -194, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 974957500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 4756 + 4734 = -2*r, -r + 4*i = -19 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 12. Let g be r(-9). Suppose g*a - 608 + 5 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*i + 0 + 3)*(-2*i**3 + i**3 + 0*i**3).\nAnswer: -4*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 2289 (c) 5 (d) 1 (e) -2.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 11*d - 5*d. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 1, t: 3}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98217299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2575, 4\/7, -3\/7, -311?\nAnswer: -2575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 4*m**5 + 0*m**5 + (0*m**3 - m**3 + 2*m**3)*(-17*m**2 - 6*m**2 + 5*m**2).\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p**3 + 0*p**6 + 1\/42*p**7 + 7\/6*p**4 - p + 0*p**5 + 0 + 4*p**2. Find the second derivative of f(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 - 9*r + 7. Let x be 2\/((-3)\/((-45)\/(-6))). What is b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989392 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 791579055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 2\/11, 1, -5, -0.1, 1015 in decreasing order.\nAnswer: 1015, 1, 2\/11, 1\/8, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 + (-560)\/(-2 - 3). Suppose 4*w + n = 2*u - 319, -5*u + w = -1102. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3316.74098+4\nAnswer: -3312.74098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22341402 (base 5) to base 9.\nAnswer: 333720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217\/12 + 67\/4. Let h = w + 17\/6. Suppose -h - 1\/2*d**2 + 2*d = 0. What is d?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 181, 1023, 2007, 3133, 4401, 5811, 7363?\n\"Answer: 71*m**2 + 629*m - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2) + -4 - sqrt(2) - (sqrt(2) - (1 + sqrt(72))) - (sqrt(288)*-2 + 5 + sqrt(288)))**2*-6 + -1.\nAnswer: -3853 + 1632*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 792755 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -542 * -1495\nAnswer: 810290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -7*r + 56, -5*r + 4*d + 9 - 36 = -24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 5. What is the remainder when 48 is divided by o(-21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 - 2*u - 11. Calculate j(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than -7606467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1277 (base 10) to base 13.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 4010 + 4034 = 0. What is the fourth smallest value in 65, 5, w, 4\/7, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 9:47 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvbvpvvvvvvxvviixib. Give prob of picking 1 b, 1 v, and 1 x.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7775249 rounded to the nearest one hundred thousand?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 148?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 152869489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.2 + 20.2. Are f and -13\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {f: 5, h: 4, k: 1, x: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 2. Let s(w) = 2 + 1737*w - 893*w - 852*w + 1. Give -4*s(h) + 5*z(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:12 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 641017*f + 234354?\nAnswer: 641017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4513297 is divided by 4218.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 2:39 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 632576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-75)\/20 - -3) + 22\/8. Suppose -h*g - 3*a + 18 = 0, -16 = -4*g - a - 0*a. What is the remainder when 4 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 419645 + -101568. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/((23\/(-3910))\/(1\/(-2)))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*y**2 - 14*y**2 + 21*y**2)*(1 - 1 - 2*y) + 295 + 23*y**3 - 295 to d*y**2 + l*y + s*y**3 + t and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*h**2*j - 5*h**2 + 50*h*j*y - 39*h*y + 2*y wrt j?\nAnswer: -6*h**2 + 50*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805346.\nAnswer: 2, 281, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5393 + 5394. What is the third biggest value in -286\/3, s, -1?\nAnswer: -286\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o + 4*o)*(-2*o**3 - 2*o**3 - o**3) - 6*o**4 - 4 + 4 as w*o**3 + v*o**4 + z + j*o + x*o**2 and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 16. Let a = d - -10. Is a > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1435288 by -179411.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 4*z + 89 + 335 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 16*l**2 - 45*l - 778. Calculate the remainder when t(-14) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2388352 and 1034.\nAnswer: 26271872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/8 + 5*w**3\/6 - w**2. Suppose 6*r = 410 - 434. Calculate f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -49*a**6\/12 - 35*a**5\/2 - 235*a**4\/8 - 145*a**3\/6 - 10*a**2 - 2*a - 56. Find u, given that z(u) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)\/(3\/(-21)). Let t(u) = -u + 1. Let d be t(i). Suppose -2*v + 4*v = d. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6553 is divided by 1585?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -20. Let r(x) = x + 2. Let l(g) = g + 1. Let w(u) = q*r(u) - 9*l(u). Let k = 1 + 1. Determine w(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + (3 - (-166 - 0)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898 divided by 949?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12638181, 0, -1\/4.\nAnswer: -12638181, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.66 + -0.4. Let j = -6.96 - -7. Let u = j + v. Which is the second biggest value? (a) u (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253997239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195383594?\nAnswer: 2, 3, 17, 19, 577, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -463?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 5, -0.47, 2?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + y + 9. Let w(b) = -2*b**2 - 8. Let i(x) = 3*d(x) + 4*w(x). Is i(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 5. Suppose 0 = 57*s - 73*s - 48. Let m(r) = 5*r - 24. Let g(t) = 2*t - 9. Let u(b) = s*m(b) + 7*g(b). Determine 5*n(i) + 3*u(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515571 and 1071?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -15*r + 19*r. Solve -2*i + r = -0*q - 2*q, 1 = -q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 993*s - 10908. Calculate d(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1772892 or 99?\nAnswer: 1772892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5298 = -u, -5*x = -18*u + 17*u + 5284. What is the greatest common factor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 24 = -2*z, 3*m + 12 = 5*m + 2*z. Let k(l) = -2*l - 15. Calculate k(m).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005118 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6887141, 13774282, 20661423?\n\"Answer: 6887141*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/(-30))\/((-39)\/975)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1352\/(-390)*27\/(-1521)?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m + 25. Does 12 divide ((-16)\/m)\/(4\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2 + 8. Let n(p) = -8*p**2 - 7. Let h(q) = 5*c(q) + 6*n(q). Let s(r) be the first derivative of h(r). Let j(g) = g**2. Give s(j(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v*v\/(v*v**2)*v**(1\/5)\/v*v**(-2\/9))\/(v**(-2)\/v**(-1))**(-2\/37) assuming v is positive.\nAnswer: v**(8198\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/245404 and 75\/152?\nAnswer: 490808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 6. Let g be a(8). Suppose -5*u + u + 96 = 0. What is the remainder when u is divided by (67 + g)*2\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 34. Let z be ((-16)\/l)\/((-2)\/(-5)). Find the third derivative of 5*d**z + 2*d**3 - 4*d**2 - d**3 + d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/3 + 1986635*h**3\/3 - 9933225*h**2 + 148998625*h\/3 - 248331250\/3 = 0.\nAnswer: -1986650, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1292*y**3 - 2*y - 1 - 4166*y**3 + 5*y**2 + 1007*y**3.\nAnswer: -4451*y**3 + 5*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (1515 - 1541)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**2 + 409*u. Let y(x) = -1071*x. Give y(r(l)).\nAnswer: -9639*l**2 - 438039*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/181 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*d**4 + 5996*d**3 + 3*d**2 - 165*d - 12596.\nAnswer: -384*d**2 + 35976*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345c7a6 (base 13) to base 3.\nAnswer: -1010100210112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jji when three letters picked without replacement from ihgioijjejjj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2700.0128666 + -221.3328691. Let i = h - 2468.68. Let y = 10 - i. Round y to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2866.1 and -0.406?\nAnswer: -1163.6366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5187216 to the nearest integer?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l - 110. Let g(b) = -8*b - 55. Let c(x) = -2*f(x) + 5*g(x). Determine c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:04 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32 + 12)*(-2)\/8. Suppose -n - q = -4*u - 27, -3*u - 93 = -3*n. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10500\/1680*8\/5. Calculate the highest common factor of 8630 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12268, -49079, -110430, -196321?\n\"Answer: -12270*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 438742 and 1316226.\nAnswer: 1316226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263653454 - 263653451.897994431. Let k = -2.102 + n. What is k rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51977809, 103955619, 155933429, 207911239, 259889049?\n\"Answer: 51977810*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17421 - 17425. Let p(j) = 2*j**3 + 8*j**2 + j + 18. Determine p(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g**2 + 2\/3*g**3 + 0*g + 3. Let p(x) = x + x + x + 0. What is y(p(r))?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 - (-4)\/(-10). Suppose -2*p + 56 = -f*p. 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: Suppose r - 4*w - 23 = 0, 21*w = -r + 16*w - 22. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 + -34?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 3*w + 2*w)*(1 - 36 - 31).\nAnswer: 330*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-252)\/(-4) - -1 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -24. Suppose -3*t = h*d - 11, 5*t - 2 = -4*d + 19. Sort 5, d, 86, -1 in ascending order.\nAnswer: -1, d, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-9) - (-8)\/(-72). Solve -2 = 5*c - 2*k + 8, -2*c - w*k - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*v**2 + 532 + 252*v**2 + 129 - 2*v + 374 to y*v + h + s*v**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 42958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292519384.\nAnswer: 2, 3, 487, 65381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxxxttx. Give prob of sequence xxxt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((((m\/((m**(5\/4)\/m)\/m))\/m)\/m)\/m)\/m*m**6*m*m)**9 assuming m is positive.\nAnswer: m**(243\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/136 or -1?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 9. Suppose 2*r - 22 - 12 = 0. Let w = r - 8. What is the greatest common divisor of w and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/48)\/((13536\/(-63168))\/((-1)\/(7\/6)))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1472)\/1288*(-14)\/104?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48098*h - 47259*h = 62925 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273416461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58594276880.2 and 0.0088.\nAnswer: -58594276880.1912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/16*170\/(-255)*9\/12.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 10) to base 3.\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 2. Let f(d) = -3 + 4*d**2 + 2*d**2 - 5*d**2. Let w(g) = -2*f(g) - 3*x(g). Let z(p) = -2 + 151*p - 150*p + 2. What is z(w(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 3*p**3 + 2 + 3*p**2 + 2*p**3 - 3*p**3 + 6*p**3 in the form l + h*p**3 + w*p + g*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4235, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**4\/4 - 16*v**3\/3 - 13*v**2\/2 + 30*v + 1280. Suppose j(p) = 0. What is p?\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -5. Suppose 0 = -5*r - 2*x + 60, -n*x - 13 + 1 = -r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttottatokotoatht. What is prob of picking 1 o, 1 h, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1210 and 27677782.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -4*c, 0 = 3*s + 2*c - 45 + 9. Solve g - 3*j = -4 - s, -20 = 5*g - 5*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 6025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 2.05. Put 1\/5, a, 1\/6 in descending order.\nAnswer: 1\/5, 1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5689.9661 days to weeks.\nAnswer: 812.8523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 36535?\nAnswer: -36530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 1. Let o(t) = -t**3 + 20*t**2 + 10*t. Let m(a) = 4*d(a) - o(a). Let v be m(12). Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24*k**2 + 336*k - 9. Let m(p) = -5*p**2 + 84*p - 2. Let y(c) = 9*m(c) - 2*z(c). Let y(n) = 0. What is n?\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 973055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*b**3*l - b**3 + 268*l wrt b?\nAnswer: 234*b**2*l - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*j - 24 + 0*j**3 - 3*j**3.\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from rttztbrtu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 3\/43, -256, -1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 208?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -144.5 and -4.05.\nAnswer: 585.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*u = 466*u + 29568 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6447.\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 28. Suppose -7*p + 30 = -k*p. What is the tens digit of (-855)\/p*(-8)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-5)\/(-6 + 1). Is y < -2\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7307 - -44?\nAnswer: -7283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41147398.\nAnswer: 2, 53, 388183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8)*(-26)\/(-130).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4 + 5*i**2 - 2*i + 4*i + i**3 + 2*i. Let v = -3610 + 3606. Calculate c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427 divided by -5\nAnswer: 427\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 7*n**2 - n - 3. Let w be b(-7). Suppose 3*l - 5*l + 24 = 2*i, -w*l = 3*i - 41. What is the remainder when 24 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/84)\/(1\/21). Solve d - 7 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833618900 and 2300?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1 = 3*a - 16, 2*a = z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35115810 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + -10)\/((-81)\/(-18) - 4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3607, 7188, 10769, 14350, 17931, 21512?\n\"Answer: 3581*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 9. Let i(x) = x + 2. Let s(l) = -9*i(l) + 2*u(l). Let k(n) = -3 + 3 - n. What is s(k(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 + 5 = c, 0 = -2*c + t. Let f be 1 - -2 - 12 - c. Let z(u) = 2*u**3 + 13*u**2 - 9*u - 1. Is z(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2094852 is divided by 130924.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from gggjggggjgjgggggjgj?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/4073 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*s + 57*s + 53 + 22 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7725, -30285, -67777, -120195, -187533?\nAnswer: -269785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 3*t**2 - 7*t - 5 + 2*t**2. Let u be n(-7). Solve 4*l - 5 = -3*h + 2, 0 = u*l + 5*h + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*9\/((-45)\/(-20))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5204 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 + 9. Let m be a(0). Let n be (1 + 23)*(4 - 1). Calculate the greatest common divisor of n and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -62. Let q = 21 - k. What is the third smallest value in q, -0.3, -0.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23904662*v**2 + 716640*v - 50 wrt v?\nAnswer: -47809324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 + 14265*p**3 + 17106243*p**2 + 352656963*p - 369777474 = 0.\nAnswer: -2367, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11442 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 727*x - 8. Let g be d(4). Suppose 0 = -7*s + 54 + g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3304 and -173\/247800.\nAnswer: 247800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.483 + -0.383. What is the closest to w in 0, -1.3, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3 = h, h - 63*o + 1 = -62*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5569 - -5589. Calculate the remainder when 391 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m + 7. Let t(x) = 6*x - 3. Let c(f) = 4*b(f) + 9*t(f). Suppose -4*y - 2 = 2*v, 3 - 2 = v. Calculate c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 27 - 12 = 0, -2*o - 7*q = -109. Let c(u) = 56*u - 2. Let s be c(2). Let r = s - o. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(sqrt(304) - (3 + sqrt(304) + 0 + sqrt(304)))*-5*3 + 5)*3)**2.\nAnswer: 183600*sqrt(19) + 2527425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 213. Suppose 6*o - 3*o - 17 = -2*z, o = 5*z. Solve 18 = 2*h - o*s - q, -3*s = -4*h + 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0 - 51\/2*a**2 + 47\/6*a**4 + 0*a**3 + 73*a. Differentiate s(x) wrt x.\nAnswer: 188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 4486?\nAnswer: 4486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.4405?\nAnswer: 0.04405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31128922262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7525954 litres in millilitres?\nAnswer: 752.5954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21556088*r + 16340532 wrt r?\nAnswer: 21556088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962713 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -12*r - 2. Solve -2*l = 3*l + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 330 = 11*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 8, x: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 3. Let b be l(-6). Let g be 25\/b*4*-3. Solve 4*j + j = g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8129?\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (51 + -17 + -54)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/(71201\/(-1547) + 46).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -35*c**2\/2 + 17944645*c - 5127040 = 0.\nAnswer: 2\/7, 1025408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 12) to base 10.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y. Suppose -2*x + y*x + 6 = 0. Suppose x*h - 35 = -2*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 224, 389, 554, 719, 884?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*u = -5*g - 0*g - 2*g - 29, -5*u + 157 = -22*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551470889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 9. Let o = -0.73 - -5.73. Sort 4, o, y in ascending order.\nAnswer: y, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/23)\/z)**(1\/33))**15 assuming z is positive.\nAnswer: z**(-10\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223045.\nAnswer: 5, 31, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -58\/26281?\nAnswer: -58\/26281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11078789\/90 - -123102. Let y = u + -40\/9. Sort y, -0.2, 4 in descending order.\nAnswer: 4, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*(6\/(-9))\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4870 + -4776. Which is greater: q or -2.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + 5*q - 4*q)*(-4 + 1 + 5) + 3*q - 3*q - 3*q + (-q + 4*q - q)*(-5 + 1 + 2))*(-13*q**2 + 67*q**2 + 45*q**2)*(-7*q - 9*q + 15*q).\nAnswer: 1089*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -25 - (2 - (-4 + 2)). Let p = 24 + y. Let z(k) = k**3 + 6*k**2 + 5*k - 3. Determine z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 13, 8, -11, -50, -115, -212?\n\"Answer: -l**3 + 2*l**2 + 4*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -253*v**2 - 5*v - 5. Let j(w) = -1016*w**2 - 21*w - 22. Give -9*i(o) + 2*j(o).\nAnswer: 245*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.254 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((612\/(-24))\/(-17))\/((-45)\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 - 2*x**3 - 4*x**2 + 0*x**2 + 80 as v*x**3 + p*x**2 + y*x + g and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299171 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -94.\nAnswer: -2914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 5*r**3\/6 - 8*r**2 - r + 31. Let v(a) = a - 3. Determine -2*f(x) + 11*v(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.126 + -0.267. What is a rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 9.5, -70.171?\nAnswer: -70.171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 105747.\nAnswer: -5\/105747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 270 + 12\/11*i**3 - 4\/11*i**4 - 4\/55*i**5 - 9\/11*i**2 + 0*i + 1\/33*i**6. What is r in h(r) = 0?\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.14251 months to centuries.\nAnswer: 0.244285425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447 = -716*u - 2849 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(9*2\/(-9)). Let a(u) be the second derivative of d + 9\/2*u**2 + 2\/3*u**3 + u. Find the first derivative of a(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2 = -12. Let p = 1 - f. Let m be (-4)\/(-6) - (-22)\/p. Solve m = -5*z - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 - m + 10. Let p(s) = s**3 + 6*s**2 - 15*s. Let u be p(-8). What are the prime factors of d(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 620 by 1116895.\nAnswer: 124\/223379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678906 by 11.\nAnswer: -678906\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 30. What is j(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 2*u**3 + 6*u**4 + 2 + 2*u**2 - 8*u**3 as s*u**3 + v*u**2 + y*u + d + w*u**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3655290, -3655291, -3655292, -3655293, -3655294?\n\"Answer: -b - 3655289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:27 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2656, 5107, 7142, 8551, 9124, 8651, 6922?\nAnswer: 3727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 2 + sqrt(75) + 2)**2.\nAnswer: 120*sqrt(3) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 9*v**2 + 6. Let r be j(9). Suppose g - 9 = -3*l, 5*l - 9 = r. Let a(i) = g - 2*i**2 + 2 - 3 - 6*i. Give a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45628)\/(-88)*60\/915.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 9 = -0 - 2, 5*j - 4*x + 33 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-358)\/(-1432)*28\/(-11)\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 14*s**2 - 13*s. Let f be z(12). Suppose f + 152 = 4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gogggggggggggggggg?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0803 to three dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/410 and 23\/245.\nAnswer: 20090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01207 - -110.46207. Round w to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428*y**2*z**2 + 14*y**2 with respect to z.\nAnswer: 856*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 266 = -4*f - 191, -4*f = -4*i - 48 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b7 - 5?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082 + 2122 + 605 = 67*k + 191 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 2*n + 1. Let c(j) = -7*j**2 + 6*j + 14. What is c(x) - 4*o(x)?\nAnswer: x**2 + 14*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a324 (base 12) in base 10?\nAnswer: 59212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2. Let b(l) = -5*l**2 - 3*l. Let a(w) = -2*w - 10*w**2 + 0*w + 6*w**2. Let f(s) = 3*a(s) - 2*b(s). Give n(f(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2.961, 1\/2, 1\/5, 87?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 9*t**3 - 40*t**3 + 1461 - 5858 + 0*t**3.\nAnswer: -49*t**3 + t - 4397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 a factor of 213351383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545\/1432 + 1\/179. What is the fourth smallest value in f, -5, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 40722900*o + 82917729220500.\nAnswer: 5*(o - 4072290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/10 - (-5)\/(-20)*24.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-33))\/(((-88)\/(-8))\/(-33))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*d - 17*d - 84 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 142*x + 2649. Let f be k(120). Suppose -20 = 2*n - 6*n. Solve -4*t + f = n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**5 - 7*n**4 + 92*n + 1.\nAnswer: 60*n**3 - 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*i + 4088 = -2*j, -4089 = -j - i. Suppose 1615 = 7*z - j. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157.6 + -158. Let n = -24 + 7. Put n, -2, 5, m in decreasing order.\nAnswer: 5, m, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/13))\/r**(7\/3) assuming r is positive.\nAnswer: r**(-46\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.1 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -158.2 and -0.81.\nAnswer: -159.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -498 - -508. Calculate the remainder when 722 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 30 = -240. Let n = 1901\/18 + a. What is the common denominator of n and (-91)\/(-10) - (-1 + -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 29*b**3 + 5*b + 7. Let o(c) = -44*c**3 - 8*c - 10. Let g(p) = -5*o(p) - 8*s(p). What is the first derivative of g(m) wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 107. Let g = c - 33. List the prime factors of ((-212)\/g)\/((-6)\/12).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 485. Let t be (-2 - (-80)\/30) + (-34)\/6. Let w = t + 26. Calculate the remainder when g is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23222323100 - 1?\nAnswer: 23222323044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1. Let r be (-4)\/(-14) - (-32)\/(-63). Sort r, -2\/5, y.\nAnswer: -2\/5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:15 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -521424103 + -1?\nAnswer: -521424104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**3 + 4*o**2 - 2*o - 6. Let j(u) = u**3 + u**2 + 2. Let l(b) = -3*j(b) - w(b). Factor l(g).\nAnswer: g*(g - 2)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 4\/7 (c) -3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.034? (a) -2 (b) -0.4 (c) 4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(-1*sqrt(550))\/sqrt(2) + -4.\nAnswer: -5*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, i: 3}. What is prob of sequence ivv?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12885)\/23193*693\/(-5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354012 (base 13) to base 16.\nAnswer: -134f4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11513143 (base 6) to base 7.\nAnswer: 3060240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-10))\/(44\/88)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**4 - 80*t**3 + 80*t**3)*(3 - 3 - 2) - 3*t**4 + 0*t**4 + 0*t**4.\nAnswer: -23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 + 288*f - 31104 = 0 for f.\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12720, 2, -3, 4, 11, 5.\nAnswer: -12720, -3, 2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17322 and 437.325.\nAnswer: 17759.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**(-39)\/((l*l**(-2))\/(l*l**(1\/6)))*((l**(5\/4)*l)**(-3\/8))**(-1\/12) assuming l is positive.\nAnswer: l**(-25657\/1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -14. Suppose u + 2*f = -13 - 2, 2*f = s*u. Let k be ((-2)\/(5 + -3))\/u. Is -1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2492480 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275 - 28*k - 275)*(48*k**2 + 50*k**3 - 48*k**2).\nAnswer: -1400*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 2575*u - u**2 - 7 - 7713*u + 2572*u + 2566*u.\nAnswer: -u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 2. Let k(j) = j. Give -2*k(x) + y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from {t: 2, d: 5, j: 2, l: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9021 and 2325.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(11\/4)*(u*((u**(-2\/7)\/u)\/u)\/u)**(-4\/15))\/(u\/(u**(-1)\/u)*u*u*u\/(u**(-1\/11)\/u))**(-3\/28) assuming u is positive.\nAnswer: u**(12599\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times -0.195\nAnswer: -0.02535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 - 22\/3*s**4 + 6*s - 41\/3*s**3 + 0*s**2. Find the second derivative of l(m) wrt m.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/64*-2446 + -4 + 2. Let n = 306 - s. Determine p, given that 5*p**3 - 3*p**4 + 1\/2 - n*p**5 - 11\/4*p + 5\/2*p**2 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210120000 + -11?\nAnswer: 210112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine tenths of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-108 - -72)\/((-3)\/88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3632 and 4086.\nAnswer: 32688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.8917 - -11.9. Round c to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/14*(-48)\/324*(-8127)\/(-258).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {v: 15, l: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/1260*10\/(-25)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45469699 is divided by 15156551?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 10 + 0*d - 5*d**2 + 13*d**2 - d**3. Let b be s(7). Solve -10 = 5*h - 3*h, -x - b = h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 - 11*k - 5. Let d(u) = u**2 + 2*u. Give 5*d(m) + l(m).\nAnswer: 10*m**2 - m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-240)*-4*3. Let g = q + -13\/20. Let u = 0.6 + -0.1. Which is the closest to g? (a) u (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h + 28*h = -51*h + 477. Let b be 38\/(-10) - (-2)\/(-10). Let l be (b - 2)*4\/6. Sort h, 4, l in decreasing order.\nAnswer: 4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/5181220 and 73\/14520?\nAnswer: 31087320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 4*p**3 - 5*p**3)*(3*p**2 + 2*p**2 - 6*p**2 + (-p**2 - 2*p**2 + p**2)*(36 - 7 + 9)).\nAnswer: 231*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2700\/(-200)*(-35)\/189\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -5*y**4\/12 - y**3\/2 - y**2\/2 - 3*y. Suppose 3*h = -4*m - 342, m - 4*h + 244 = -2*m. Let s = m + 82. What is f(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*t + 111 = 0, -3*h - 3*t = -43 - 29. Suppose -9*w + h = -13. Solve -4 + 12 = -w*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*l - 0*l. Suppose -u = -0 - l. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2932121758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 1)*(10 - 5 + 3*n + 0)*(-n**3 - 2*n**3 + 2*n**3).\nAnswer: 21*n**4 + 35*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -97 - -36139?\nAnswer: 36042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) -429\/5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - 4) - (-18 - (11 + 1)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 8*y - 12. Let s be l(6). Suppose s - 20 = -4*b. Suppose -x - 5*g - 1 = 0, -b*g = -3*x + 5 + 12. Solve -w = 3*w + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4)*h**(-5))\/(h**(-3))**(-13\/3) assuming h is positive.\nAnswer: h**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752 + 206 = -91*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2161 = -3*g + 737, 4 = -g. Let h = o + 982. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1410)\/(-4)*28\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose 5*o - a = -3*m, 3*m = -o - o - 7. Let d(k) = -2*k + 3. Does 4 divide d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 310*c + 17939. Determine y(-57).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -27*p - 1037. Let r(o) = o. What is m(r(k))?\nAnswer: -27*k - 1037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 - 513*b - 1549. Determine q(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -0.2. Let w = 9.8 + d. Let m = w + -11.9928. Round m to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -3, 50, -104.\nAnswer: -104, -3, 1, 9, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96485054 to the nearest integer?\nAnswer: 9823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let x be (-3 + 1)\/(-2 + 0). Let c = x - -1. Let d(f) = f - f - 10*f**c + 6*f**2. What is d(t(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6108*z**2 - 4912*z - 2. Let h(q) = -4*q**2 + 1. Let o(p) = 2*h(p) + n(p). Find the second derivative of o(f) wrt f.\nAnswer: 12200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) - (-5133)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 100101001001011101?\nAnswer: -100101001001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16942 + 17012. Solve -15*s - v = -5*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*p + 63 - 279 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 92*o - 472 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25880270*w + 25880260*w + 650 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/120 + 7*i**4\/2 + 355*i**3\/2 + i**2 + 80. Find the first derivative of p(n) wrt n.\nAnswer: 3*n**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*y = 87*y - 20. Suppose y*q = 2*k - 2476, -3*q + 2149 = -4*k + 7081. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 36*c = -5*z + 25, 0*c + z - 16 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5198612952?\nAnswer: 2, 3, 13, 19, 31, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -10?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -3, -270, 5 in decreasing order.\nAnswer: 11, 5, -3, -4, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*i - i. Solve i*p + 20 = -0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306520, 613027, 919498, 1225915, 1532260, 1838515?\nAnswer: 2144662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712818502?\nAnswer: 2, 11, 2945531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*15*(-2560)\/240. Solve 0 = -8*o + 56 - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 859071733.2 and -0.3.\nAnswer: 859071732.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3272, 6538, 9804, 13070, 16336, 19602?\nAnswer: 22868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + y**2 + y**2 - 6*y**2. Let f(u) = -u**2 - 3*u**2 - 18*u + 18*u. Give f(t(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b**3 - 30*b**2 + 24*b + 21. Let l(i) = -4*i**3 + 10*i**2 - 8*i - 7. Let k(f) = -8*l(f) - 3*m(f). Let j be k(9). Solve 3 = -j*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/8)\/((-30)\/20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**7*n*n**(-19) assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 + 10?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-1)\/4)\/((-20)\/2160*9). Factor 84\/5*s**2 - 36\/5*s**x + 16\/5 - 64\/5*s.\nAnswer: -4*(s - 1)*(3*s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971744 is divided by 1005.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -927428913 * 2\nAnswer: -1854857826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-2\/9)))**(-7\/3))**24*(o**(-4\/7)\/o)\/o*o*o\/(o*o\/o**(-2\/3))*o**(2\/7)\/(o\/((o*o\/o**6)\/o)) assuming o is positive.\nAnswer: o**(220\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -174716, -0.2, 1\/2 in ascending order.\nAnswer: -174716, -0.2, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -503 + 341. Is j at least -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 74*g**3 - 64*g**3 + 2*g**3 - 2*g + 2*g + (2*g**2 + g**2 - 4*g**2)*(-6*g + g + 4*g) + (2 - 2 - g)*(g - g + 4*g**2).\nAnswer: -137*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*l - 0 + 3, 0 = 3*l + z - 3. Which is greater: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 35. Suppose 3*g = -3*b + b + 13, 5*b - m = 5*g. Suppose -99 = -4*j + r, b*j = -r - r + 114. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359862592 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -32. Suppose -o*r + 2 = -3*r. Let s(l) = 2*l - 2. Determine s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**4 + 6*f**3 + 10*f. Let y(i) = -10*i**4 - 5*i**3 - 9*i. Let p(b) = 5*g(b) + 6*y(b). Find the second derivative of p(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16620491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110 - -101100011011110100?\nAnswer: 101100011101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117858 - 80614769\/684. Find the common denominator of f and 31\/48.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.33 (c) 4 (d) -0.5 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 17. Let v = -1442\/9 + 160. Sort -3, v, n in descending order.\nAnswer: v, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86269.994 + -0.01?\nAnswer: 86269.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1232?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -68732 divided by 2?\nAnswer: -34366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*r**3 + 0*r + 3\/7*r**2 + 0.\nAnswer: -r**2*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1447*f*u**2 + 105518*f + 748602*u**2 + 2*u + 125 wrt f?\nAnswer: -1447*u**2 + 105518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*b + 15 = -66*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 4*z - 1. Let p(b) be the third derivative of 3*b**5\/20 - 3*b**4\/8 + b**3\/2 + 1726*b**2. What is -2*p(w) - 5*x(w)?\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*r - 16 = -3*i, 5*r = -5*i - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 6*g - 51. Give b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f + 15*f + 12*f + 9*f + 12*f - 102*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481086, -962171, -1443256, -1924341, -2405426, -2886511?\nAnswer: -3367596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-99))\/((-72)\/(-66))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 154643953 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -2*v**7\/105 - 4*v**6\/15 - 22*v**5\/15 - 4*v**4 - 6*v**3 - 206*v**2 - 2*v. Suppose g(j) = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*j + 37897 = -190*j - 10539 + 11956 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8036304528.\nAnswer: 2, 3, 7, 167, 197, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q**2 + 12*q**3 - 101*q**2 + 50*q**2.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4206, -4075, -3826, -3459, -2974, -2371?\nAnswer: -1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 2, g: 4, u: 9}. What is prob of sequence yys?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:39 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -3*d**4\/2 + 7*d**3\/3 + 5*d + 3. Let v(a) = -3*a**3 + 4*a**2 + 3. What is 3*c(s) - 5*v(s)?\nAnswer: -3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252 - -480. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/180 - 28\/(-35). Let j = -0.5 - 2.7. Let w = j + 6.2. Which is the fourth biggest value? (a) w (b) p (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3)*(-4)\/14*3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*w, w = 6*w - 4*x. Suppose 3*c - 1319 = -2*t, -2*c + 438 = -c - t. Suppose w = -5*h + 96 + c. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30220713.\nAnswer: 3, 17, 197521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*n*p*q + 2*i*n*p + 32*i - 8*n*p + 2*n*q - 2*p*q - 457*q wrt q.\nAnswer: -3*i*n*p + 2*n - 2*p - 457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001111001 + 100111011011000?\nAnswer: 11101001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2345*u**2 + 2957*u.\nAnswer: 4690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 13. What is t(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 372726 - 1025248 = -42*g. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from {w: 1, k: 7, a: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -21133, 3\/5, 3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 3, 1, -4 in descending order.\nAnswer: 3, 1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*y + 21*y - 13*y)*(-7 + 7 + 4*y)*(-1 + 0 - 1).\nAnswer: -504*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.34812507 from 0.8.\nAnswer: -8.54812507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**14*(((((w\/w**0)\/w)\/w)\/w*w)\/w*w)**(8\/3) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -2b2?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-430)\/(-35) - 3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/17 (b) 28 (c) 2 (d) 2\/5 (e) -2086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d + 54 = 0. Suppose l + 0*g = 5*g + 2, 0 = -3*l + 3*g + 6. Let t = 4 + l. Calculate the highest common divisor of d and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a - 55*q + 59*q, 3*q + 10 = a. Let h be 2*-1*6\/4. Let s = h - -2. Sort -5, a, s.\nAnswer: -5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 2*n - n. Suppose -v = -4*s - 8 + 17, 5*v = s + 12. What is the units digit of d(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 7*s - 5*r + 14, -5*r = 5*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 406*p**2 + 6*p - 143. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:05 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 8)*(-8)\/(-5 - -1). Solve -6*l + l - r = q, 0 = -5*l + 2*q - 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 7*g + 8. Let q be c(-6). Suppose 3*v = -y + 11, 4*v = q*y - v + 22. Let m(w) be the second derivative of w**3\/6 - 2*w. What is m(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-1)\/50). Suppose 0 = i + 5, -3*r - i + 15 = -o. Let w = -91 + 196. Calculate the greatest common divisor of w and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 0*f**4 + f**2 + 3 - 2*f + 0*f as o*f**4 + q*f**2 + p + m*f + l*f**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -20, -28, -36?\n\"Answer: -8*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8676, -8791, -8906, -9021?\nAnswer: -9136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.49 and -0.03.\nAnswer: 0.1047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a + 29*a + 811524 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.3034 - -0.6964. Let k = 26 + -52. Let v = g + k. Round v to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001110 (base 2) to base 16.\nAnswer: 18e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 588, 895, 1182, 1443?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5623382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-42)\/(-24))\/7 + 2853\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 440*n - 15905 = -4959 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13571017394 - -2.93.\nAnswer: -13571017391.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 0 - (-224 - -227)) + 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 4, q: 2, s: 4}. Give prob of sequence gpq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -11 in decreasing order.\nAnswer: 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Suppose -6*i + i - 2*w = u, -4*w + 1 = -i. Let v be -1 + (i - (-33)\/12). What is the closest to -2\/3 in v, 5, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 7*v - 5. Let c be (-12)\/(-8)*(-2 + 0) - -1. Let p be (c - 4) + 4 - -6. Calculate n(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*a - 5*n, a = -2*a + 5*n + 35. Let b(g) = 5*g**3 + 3*g**2 + 14*g + 7. Let o be b(a). Let s = -94 + o. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {j: 1, d: 2, u: 1, q: 8, w: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 615.241951 from 29.\nAnswer: -586.241951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 13*r - 11. What is m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*b - 314, b + 0*b + 3*i = 82. Calculate the greatest common divisor of 95 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -28, -35?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 502\/35 + -71\/5. Let g be 13\/(468\/(-1512)) - -42. Factor a*y**2 + g - 1\/7*y.\nAnswer: y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 + c + 9. Let j be a(-4). Let z = j + 16. Solve -3*y - 2*y = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3 - 6. Suppose 3*p - 4*u = -1, 12 = 4*p - 5*u + k*u. Suppose 0 = -p*o + 3998 + 1047. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -s = x*s - 35. Calculate the highest common factor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 4 (b) -3 (c) 7\/6 (d) -5\/4 (e) -2776 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8098 + 8167. Solve 62*l = m*l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-4 - 3 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/6)\/5 + -2. Let c = -1 + 0.8. Put b, c, 2\/9 in increasing order.\nAnswer: b, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/707 - (-773766)\/20907?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 2*c**7\/315 - 31*c**6\/90 - c**5\/15 + 95*c**4\/18 - 124*c**3\/9 - 126*c**2 + 6. Suppose d(o) = 0. Calculate o.\nAnswer: -2, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/15 + -188\/195. Let z = -1.05 - -0.05. Is h <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**3 + p - 2. Let g be r(1). Suppose -g*q = -38 + 3. What is the greatest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/25 + 676*j**4\/5 - 307466*j**3\/25 - 3534188*j**2\/25 + 12704064*j\/25 - 8865792\/25 = 0 for j.\nAnswer: -1776, -13, 1, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -44024, 7 in ascending order.\nAnswer: -44024, -12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/123)\/((-63)\/(-54))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -53. Let l be 8*85\/10 + (1 - -3). Let f = 86 - l. What is the second biggest value in 2\/5, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-22) - 322889\/(-2123). Sort -5, n, -7, -3 in decreasing order.\nAnswer: n, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -27. Suppose -2*r - 3*q = 2*q + 1, -4*r = 4*q + n. Is (13\/r)\/(5\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a century in decades?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25517338 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 464*p + 3771. What is the remainder when 465 is divided by w(-8)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/189)\/(99\/891)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2\/121, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - (-12 + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64, -499, -1686, -4003, -7828, -13539, -21514, -32131?\n\"Answer: -63*f**3 + 2*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.428 times -0.3\nAnswer: -0.1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-36))\/(((-112)\/273)\/(-4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*q + 1356 - 348 = 0. Solve -4*w + 4*j = 28, -5*j = -5*w + q*w - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**4\/12 - 5*a**3\/2 - 6*a**2. Let j(p) = -p - 7. What is -13*j(y) + 6*q(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h. Let w(n) be the first derivative of -n**6\/90 + 4*n**3\/3 - 2*n + 10. Let c(z) be the third derivative of w(z). Determine v(c(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -21*m**3 - 4*m**2 + 4. Let i(k) = -k**2 + 1. Determine -h(d) + 4*i(d).\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -42b6b?\nAnswer: -42b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85112394 is divided by 912.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2264*y**2 - 367*y**2 - 1 - 143*y**2 + 1007*y**2 to c*y**2 + z + j*y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6887941 times 16\nAnswer: -110207056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geeeckkqeke. What is prob of sequence eeee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 65896*c\/5 - 197697\/5.\nAnswer: (c - 65899)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1115*s + 66. Does 28 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1405.51675 - -2096.50632. Let i = 691 - c. What is i rounded to four decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1449286, -1449292, -1449298?\n\"Answer: -6*s - 1449280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221641626?\nAnswer: 2, 3, 2657, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 10:02 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 = -18, -4*l + 1 = 3*s. Suppose -l*i - 4732 = -17*f + 13*f, -f + 1173 = -3*i. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 702*x - 832047 + 862935 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 9*r**2 + r + 1. Let k be b(-6). Let w = 166 + k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68739\/7 and -9820 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673096?\nAnswer: 2, 84137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*z = -210, z + 89 = 3*k + 397. Let a = -101 - k. Solve -5*d + 3*u - 3 = -a, 0 = -4*d - 4*u + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -1792, -2692, -3592, -4492?\nAnswer: -5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z**2 + 17*z**3 - 58*z**2 - 55*z**2 + 57*z**2 + 7*z**3.\nAnswer: 24*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3 - 4. What is the remainder when -18*(-1)\/3*2 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.1 - -13. What is r rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 68 = -11*p - 18*p, -4*p - 10 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -600*k**2. Let c(l) = -l. Calculate c(t(h)).\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8890*o + 17783*o + 8 - 8894*o.\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 863\/3432 + -5\/3432. Let h = -4.74 + -0.26. Which is the nearest to i? (a) 2 (b) h (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232896 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 2:12 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310539 is divided by 2491.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/11939, 0.3, -2?\nAnswer: -7\/11939","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76617922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 26. Let n be o(-7). Solve -2*d - 2 = 3*s + n, -5*d + 13 = -4*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (447 - 845 + 399 + 57*j)*(0 + 5 - 3).\nAnswer: 114*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 4155*l - 4*l**2 + 2*l**2 + 117*l.\nAnswer: -2*l**2 + 4272*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*m - 12 = 0, 2*g = -10*m + 7*m - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -140611?\nAnswer: 140604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -11, -193, -155?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-900)\/40)\/((-2)\/3) - ((-495)\/44 + 11).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = g + 8, 3*v = 5*v + 4*g - 22. Let r(i) = 5*i - 24. Let y be r(15). Let t = y - 49. Solve 5*q + 7 = t*u, 0*u + 4*u - 5*q = v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t - 12. What is s(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3 - 20*c - 240*c**3 - 240*c**3 + 14*c**2 + 479*c**3. What is the tens digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9\/4)*d*(d*d*d*d\/d**(-3\/7)*d*d*d*d)\/d)\/(d\/(d*d**16*d)*d**(-2\/3)) assuming d is positive.\nAnswer: d**(2003\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 16674?\nAnswer: 16635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, b: 1, s: 1, c: 2, p: 1}. Give prob of sequence kp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 304937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 20 = -4*q, 5*g = 5*q - 50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.85263 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 536104*j**2 + 620700*j?\nAnswer: 1072208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 13 + 0 + (-7 - -13) + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -92. Does 21 divide (339\/(-6 - -3))\/((-1)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -971*t - 8. Does 8 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/(-52))\/(2\/(-4)). Which is greater: -1\/35 or c?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72\/21 - 4\/(-7) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 34*z**3 - 11*z**2 + 11*z + 11. Let w = 990 + -988. Let r(u) = -7*u**3 + 2*u**2 - 2*u - 2. Determine w*f(y) + 11*r(y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*sqrt(567)*-1)**2.\nAnswer: -102060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 12. Give i(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -2)\/((-6)\/(-3)). Suppose w*t = -t + 24. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**2*r**(-5\/6)*r**6\/r**(2\/19)*(r\/(r*r**(1\/4))*r**4\/r)\/(r**(-5)\/r**(-2\/13)) assuming r is positive.\nAnswer: r**(34553\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + -138. Let u be 1*(7 - 4 - j). Suppose -u = -6*w - 0*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*x + 25584602 + 4522224 = 246*x. What are the prime factors of x?\nAnswer: 2, 37, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186912 and 2596?\nAnswer: 186912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a898 (base 11) in base 10?\nAnswer: 58308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-68) + (-8)\/(-4) + 17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**7\/1680 - d**6\/480 - d**5\/40 + 5*d**4\/24 - d**2. Let v(j) be the second derivative of n(j). What is b in v(b) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 37, -5 in decreasing order.\nAnswer: 37, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 3. Let s(a) be the third derivative of -a**4\/24 + a**3\/6 - 209*a**2 + 2*a. Let q be 183\/9 - 1\/3. Suppose 3*f + 2*f - q = 0. Give f*s(d) + u(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 45 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(495\/(-890)) - 172\/946\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 646\nAnswer: -9\/646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 13 = 23. Find the third derivative of -26*o**2 - 7*o**5 + 11*o**5 - 5*o**p wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/1 - -2) + 248\/(-62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 4.89501\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18729 = -114*k + 109*k - 2*x, 0 = k - 5*x - 3735. What are the prime factors of k?\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -13) + 3 + -2 + 1 + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 2\/3, -3.2, 1, -0.4 in decreasing order.\nAnswer: 210, 1, 2\/3, -0.4, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1651*h - 3302*h + 1648*h. Let v(s) = -1348*s. What is v(l(b))?\nAnswer: 4044*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*g + 7, -2*n - 11 = -3*g - 3*n. Suppose 0 = -4*m + g + 3. Suppose -m*x = -3*x. Solve x = -u + 1 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0 (c) 0.997 (d) -0.2 (e) 0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from sjjsswjwwjj?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3556520 and -69\/102542.\nAnswer: 280965080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 + 10*p as o*p + l and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -20917\/136?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 538*w + 534*w = 30, -c + 39 = -4*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.65 in -6, 4, 64?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 23*k - 9. Suppose 9 = 3*s, -4*s = -2*x + s - 13. Suppose -9*y = x - 28. What are the prime factors of g(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*13045565.\nAnswer: -13045565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -497 and -4.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33411*u. Let x(d) = 38*d. Calculate x(q(v)).\nAnswer: -1269618*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -178?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -54620 to the nearest one thousand.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25442, -50879, -76320, -101765, -127214, -152667?\n\"Answer: -2*b**2 - 25431*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052007 is divided by 262888.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, r: 7, z: 2, o: 4}. Give prob of picking 1 p and 1 w.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1900906410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*c - 1656 - 1620 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/6)\/((-15)\/12). Suppose -t + 3 = 1. Let n be 9\/(1 + 13\/t). Which is the closest to 0? (a) p (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 0 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.2 * 0.1.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4216639\/2 + 6453493\/3. Let s = p - 27891706\/651. Let z = s + -1\/434. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/19 - 360*n\/19 - 16200\/19.\nAnswer: -2*(n + 90)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 75384.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-1 - 2). Suppose -2*c = -1 - 3. Let d = c + t. Solve 5*f + 2*p = 6, f = -2*p + 3 + d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010120101101100 (base 3) to base 2.\nAnswer: -111101111110010100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4887 or 5010?\nAnswer: 5010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.00373475 * 0.5\nAnswer: 0.001867375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 16) in base 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -56. What is the third smallest value in b, 0.2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721986835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1038, 1018, 1020, 1056, 1138, 1278, 1488, 1780?\n\"Answer: 2*j**3 - j**2 - 31*j + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 3*r**4\/4 + r**3 - 26*r**2 + 3*r - 3. Let j(b) be the first derivative of i(b). What is the first derivative of j(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450934, -901858, -1352774, -1803682, -2254582, -2705474?\nAnswer: -3156358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3326 divided by 1663.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d + 318344. Suppose -4*b + b + 747516 = 0. Let u = b + d. Round u to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -5 (b) -85 (c) -0.2 (d) -0.5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 1140?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 - p + 2. Let k = 2 + -2. What are the prime factors of f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (9 - 10) + 5 + (9 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29796575.\nAnswer: 5, 67, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*c + 37, 2*c - 18 = -6*z - 80 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/1996 + 132737\/5988. Find the common denominator of z and -113\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z = 110*z + 16. Calculate the greatest common factor of z and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 13. Suppose z + 167 = -6*u + 7*u, 0 = 3*u + 2*z - 521. Let o = i + u. List the prime factors of o.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145462 divided by -395.\nAnswer: -145462\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 22*c - 1 - 3*c**2 + 3*c**2 + 3*c**2. Let i = 7356 - 7363. Let o be m(i). Is o greater than or equal to -46\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**2*z**2 + 6*q**2*z - 862*q**2 + 3*z**2 + z + 5246 wrt q?\nAnswer: 2*q*z**2 + 12*q*z - 1724*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + h. Let b(f) = 26*f**3 - 7*f**2 - 4*f. What is -b(n) - 6*l(n)?\nAnswer: -20*n**3 + n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.9 + 0.46. Let m = -0.36 + z. What is m rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1164, 675, -1492, -5337, -10860, -18061?\n\"Answer: -839*y**2 + 2028*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65961, -65955, -65937, -65901, -65841?\nAnswer: -65751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2460, 0, 39, -1302 in decreasing order.\nAnswer: 39, 0, -1302, -2460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p)**24*(p\/(p\/p**1))**14)**(6\/5) assuming p is positive.\nAnswer: p**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/120 - j**5\/12 - j**4\/6 - j**3 + 32*j**2. Calculate q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110 - 100?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 36 = 6*x - 2*x, -k = x - 1. Suppose 4*a - 4 = -5*t, a = -3*t + k*a + 28. Let u(f) = -f**2 - 5*f**2 + t*f**2. Let h(z) = 3*z. Calculate h(u(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*g**2\/8 + 2575*g\/4 + 39 = 0. Calculate g.\nAnswer: -156, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401.528 - 397.528. Let q = 28573984\/21 + -1360972. Let j = q + 306. Which is the smallest value? (a) m (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*p - 3*q - 39, 0 = -2*p + 2*q - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 34. Let j = 15 - 7. Let z = j - 8.3. Which is the nearest to 0? (a) 1 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 2080 = 17*v. Suppose -5*o = 3*r - v, -5*o + 302 + 218 = r. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -3 - (14 - 19).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4, -1\/5, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 72, 2, 4, -4, -10 in increasing order.\nAnswer: -10, -4, 2, 4, 31, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -6 (c) 1996\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 19\/8 (b) -2\/11 (c) -1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*y + 97*y + 87 + 78*y - 88 - 62*y.\nAnswer: 317*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -35*g**2 + g + 5. Let p(l) = -52*l**2 + l + 8. Let q(j) = -5*p(j) + 7*v(j). Calculate the remainder when q(-2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42715023 + -29914086.4. Let p = 12800885.6000013 - q. Let j = 51 + p. Round j to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 157*q**4 + 6*q**4 - 2*q - 29*q**4 - 2 to h + n*q + o*q**4 + f*q**3 + v*q**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -907, -1818, -2733, -3652?\nAnswer: -4575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from {w: 3, l: 2, b: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110243 less than or equal to 110261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 3. Let u = -256.062831 - -258.56283026. Let l = u - z. Round l to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30361297727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -314788.15 rounded to the nearest one hundred?\nAnswer: -314800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 315. Let d(o) = 34305*o. Give d(y(i)).\nAnswer: 68610*i - 10806075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v**(-1\/11)*v*v))\/v)\/v)\/v)\/v**4)\/(v\/(((v*(v*v**(-1\/4))\/v)\/v)\/v))**(-2\/57) assuming v is positive.\nAnswer: v**(-3273\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from {l: 7, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4770900 at least -4770888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.55 - 0.05. Let z = 0.5 + j. Let i = z + -45.897. What is i rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -138. Let a = 49 - 32. What is the highest common factor of a and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3484 - 3*g + g - 3388 to u + z*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w**3 - 77*w**3 + 118*w**3.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701336?\nAnswer: 2, 11, 30697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -2*m**3\/3 + 8*m + 25. Let p(v) = 2*v**2. Calculate h(p(k)).\nAnswer: -8*k**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from oeppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 71*f**2 + 65*f - 503. Let r be h(-72). Solve 4*x = -l + 13, r = 3*x - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1500) - (sqrt(1500)*-2*-6 + sqrt(1500))) + sqrt(1500))*-2)\/(sqrt(5) + sqrt(315)\/sqrt(7) + (sqrt(105)\/sqrt(3))\/sqrt(7)).\nAnswer: 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 34227.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264c1 (base 13) to base 10.\nAnswer: -71137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23465130 is divided by 90.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/((-36)\/(-288))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10959054959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2167176 and 24?\nAnswer: 2167176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.005, -1.91, -0.4, 0.049?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*b - 10*b. Let v be 4\/6*b + -2. Suppose -3*z + 73 = -v*l - 75, 5*l + 240 = 5*z. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111 and 0.08.\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.6. Which is the nearest to 0.2? (a) -2\/15 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 4*d + 4. Suppose 3*c = b + 11, 4*b = -c - b + 25. Let j = 1 - c. Does 10 divide k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.14 + -0.04. Let l = 1.1000025 - o. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 - 263.33?\nAnswer: -264.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -301183, -301186, -301201, -301234, -301291?\n\"Answer: -g**3 + 4*g - 301186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27480 at least as big as -0.17162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2162 - 954. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:43 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcgwg. What is prob of picking 1 w and 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 149823?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 294\/(8\/(-8))*3\/(36\/(-8)).\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u + 8. Let x(t) = -4*t - 30615. What is p(x(h))?\nAnswer: 28*h + 214313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 391\/213 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.39 + -115.\nAnswer: -107.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**2 - 175*u - 71*u**2 + 79*u**2)*(-u + 2*u + u - 3*u + 4*u + u + (-2*u + 0*u + 4*u)*(-1 + 2 + 1) - 2 + 2 + u + 2*u + 0*u - 4*u).\nAnswer: -7*u**3 - 1225*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-347)\/29495*(5 + (-3 - -3)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2078931 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.22748 + 73.328. Let n = v + 2.9. What is n rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 13 - (6 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 6*h + 1. Let w be u(-5). Let l(i) = -i**2 + 3*i - 1. Let x be l(w). Let z = x + 34. Solve -4*t = -t + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 18\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 129. Which is bigger: 2\/863 or n?\nAnswer: 2\/863","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29 (b) 8\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 79*f**2 + f - 10 + 76*f**2 + 1 to the form y + i*f**2 + v*f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805071837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 - 13*v + 2. Let q be m(-5). What is the common denominator of -9 - q - (-250)\/12 and (5\/(-230))\/((-2)\/(-76))?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226 + 531. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.199763 to three decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbbh when four letters picked without replacement from bbhmlunumnnubun.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90441?\nAnswer: 3, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 12. What is the closest to 2\/7 in o, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*f**2 + 1661*f**2 - 2*f + 2*f - 840*f**2.\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222232133 + -232320?\nAnswer: -223131113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 682 = 679 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -676.9 + 677. What is the closest to -1 in -1\/2, d, -149?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155.964 - -44.036. Which is the third biggest value? (a) 2 (b) q (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, -11 in descending order.\nAnswer: 22, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -885\/7 - -127. Let s = -15\/14 + y. Let x be (6\/9 - 0)\/(-3 - -2). What is the closest to x in s, 0, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, -9, 0, -1\/3 in decreasing order.\nAnswer: 3, 0, -1\/3, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834619 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/4, -2\/15, 866, 5, -21 in increasing order.\nAnswer: -21, -3, -3\/4, -2\/15, 5, 866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 73810.\nAnswer: 7381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k*k**(3\/5))*k)\/k*k*k)\/((k\/(k*k\/(k\/(k\/k**(2\/5))))*k)\/k))\/(k*k\/(k*k\/(k\/(k\/(k\/k**1)))))**(-6\/5))**4 assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -706100 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691856464 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 160117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f, -l - 17 = -2*l + 3*f. Suppose i = -2, -w = -l*w - 2*i + 8. Suppose -w*j + 6*j = 39. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216*0.1304.\nAnswer: 28.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125135724.\nAnswer: 2, 3, 7, 73, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32268 - -11747?\nAnswer: -20421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 75 = 5*l, -922*c + 21 = -927*c + 3*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let x = 1 - q. Let z = 0.91 - -0.09. Is x less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - y + 8 = 0, -13 = 3*g - 0*g - y. Let u = 5034 - 5036. Sort u, g, -23, -1 in increasing order.\nAnswer: -23, g, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 10*s**2 - 23*s + 17. Let t be r(-12). Suppose -4*m + 3 = -t. Is (-1)\/(m\/(-2218) - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3075\/(-1353))\/25)\/((-2)\/40).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/(-1) - (1 - 4). Is (0 - -1) + o\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + (70 - 29) + -119?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 14) to base 2.\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5)*2 + 2 + -1))**2 + (sqrt(5) - (sqrt(5) - (4 + sqrt(5) + 0 + sqrt(5))**2) - (-1 + sqrt(80))).\nAnswer: 28*sqrt(5) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11503754 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.7. Let y = -2631 + 2641. Which is the smallest value? (a) 2\/13 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k. Let w(y) = 279*y**2. Calculate w(c(f)).\nAnswer: 4464*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 201030 (base 4) to base 13\nAnswer: c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 417.5781 - 0.5781. What is the nearest to -0.1 in b, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17 + -2 - 4)*-1. Calculate the highest common divisor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**3 - 1. Let y(v) = -v**3. Calculate 4*a(d) - 22*y(d).\nAnswer: -2*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2902, 5, 4, -3, 2, -4 in descending order.\nAnswer: 2902, 5, 4, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.012, 1, -1\/2, -1, 2.\nAnswer: -1, -1\/2, 0.012, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 13*b + 38. What is z(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-438)\/(-90) - 8\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 6*w**2 - w**2)*(-w + 3*w + 6*w).\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + b - 4 = 3*x, 74 = 27*x + b - 50 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j - 9. Let o(g) = 4*g + 3 - 1 - 3. Let b(w) = 6*a(w) - o(w). Differentiate b(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -300164.0615 to the nearest one thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(24\/30)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 857 and 203?\nAnswer: 173971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(16\/30)*79\/(13825\/(-70))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 396.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18058717?\nAnswer: 18058717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + (sqrt(2) + 0 + sqrt(2) - sqrt(2))))**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -3*h**2 - 68*h - 38. What is the units digit of t(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*i - 296*i = -14176 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**3\/2 - 4*s**2 - 2*s - 1. Let q(l) be the first derivative of a(l). List the prime factors of q(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*p + 17, 7*p - 2*p = 5*o + 20. Let n be -6 + p + 7 + 1. Solve 5*b = 4*a + 7, a - b - n = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/25 in 5, 10, 5899?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -0.1 (c) 0.0256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102 + -34403?\nAnswer: -34505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:11 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 5. Find the common denominator of (h\/6)\/((-6)\/292) and 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 317 and -0.4?\nAnswer: -126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493 divided by -1?\nAnswer: -2493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -11) + (-53 - -54)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44126046427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5136809 - 5136599.1571. Let m = w - 213.062767. Let z = m + 3.22. What is z rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*n**4 - n**3 - 3903*n**2 + 15875*n - 319?\nAnswer: -1932*n**2 - 6*n - 7806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581343 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 187173010 divided by 37434602?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p**2 + 559*p - 138*p**2 - 173*p.\nAnswer: -114*p**2 + 386*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1\/30*i**6 + 0 + 0*i - 4*i**2 + 0*i**4 + 0*i**5 + 7\/6*i**3. What is the derivative of k(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425733079 is divided by 292.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/6 + (-7)\/21. Let m(h) = -h**3 + 6*h**2 - 4*h - 2. Let y be m(5). Let k = j + y. Solve 5 = -2*d - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6 - 6*d**3 + 2*d + 5*d**3 - d**3 + 13 - 2*d**4 as k*d + q*d**3 + o*d**2 + p + w*d**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -g - r, -35 = -4*g - 3*r. Let y be (g - 18)\/(2\/(-3)). What is the greatest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -46, -113, -252, -487, -842, -1341?\n\"Answer: -4*u**3 + 9*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 364, 383, 436, 541, 716, 979?\n\"Answer: 3*r**3 - r**2 + r + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 3*p - p + (4 - 4 + 2)*(1 - 1 - 2)*(-13 + 13 - 5*p))*(-5*p**3 + 7*p**4 + 5*p**3).\nAnswer: 182*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 331 - 329. Suppose -6 = u - 3*o, -4*u + 3*o = -s + 8. Solve j = -u*j, 0 = 3*p - j - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:06 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c - 0. Let i = -6 + 9. Let w(q) = -1. Let s(t) = t**3 - t**2 - 2*t + 5. Let p(d) = i*w(d) + s(d). Calculate p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5 + 160*u**4 - 1920*u**3 + 10240*u**2 - 20480*u = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 10*d + 8. What is q(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.2348 - -0.2548. Let b = i - -53. What is b rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.3 + 19. What is the nearest to -0.1 in 3, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1925\/1650*(-9)\/(-7)*(-42)\/18\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*d + 4*k, k - 8 + 19 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (19 - 7) + -11 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601038839.\nAnswer: 1753, 342863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 259\/(-21) - (1 + -3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1055659, 1055658, 1055657?\nAnswer: 1055656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, 0.02, -8, 1, 3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-6)\/((-4)\/((-16)\/(-18))))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/6 (b) -9 (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-14) + 1 + 816\/357. Let q = -40 - -42. Solve -2*u - 14 = q*a, 0*a - 2*u - g = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1760 - 1760.2. Which is smaller: c or -894?\nAnswer: -894","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 138570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 4, a: 1, h: 3, m: 6}. What is prob of sequence nh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 1, h: 1, d: 1, l: 2, g: 4}. What is prob of sequence gf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90657771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31227383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 38. Determine r(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -18370640\/7 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -2*v. Suppose -4*x - r + 32 = 0, -v*x + 2*r + 0 + 6 = 0. Let n = 6 - 2. Solve -9 = n*t + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-40)\/4))\/(((28\/4)\/140)\/4).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 15 = -2*m, 0 = -2*f + 4*m - 2*m - 6. Let u = 4 + f. Let t(g) = -4*g - 16. Let n(z) = -5*z - 19. Let i(w) = -5*n(w) + 6*t(w). What is i(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -152*m + 2463. Determine p(15).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 34*h + 264. Calculate p(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/5 - 4*b**3\/5 - 2*b**2\/5 + 12*b\/5 - 141. Factor r(f).\nAnswer: 4*(f - 3)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -12200112?\nAnswer: -12201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004677954 rounded to five dps?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s - 111764 + 113060 = 0 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 18. Let n(s) = 2*s**3 - s**2 - 11*s + 5. Let r be n(3). Calculate f(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p - 2765 = -40*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 20 = 98. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 12) to base 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1465008, 1464518, 1463188, 1460598, 1456328, 1449958?\nAnswer: 1441068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3305 + -893. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9741 at least as big as -0.1066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10647 is divided by 103?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 2*n - 10, -5*s = -0*s + 3*n - 29 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/8*-2 + (-11)\/44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33872?\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.4142 and 761.8768.\nAnswer: 757.4626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-14\/11)*(z**(-2))**(12\/7) assuming z is positive.\nAnswer: z**(-236\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031003111 (base 4) in base 5?\nAnswer: 40044410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 32884.62 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**2*x**2 - 3969*t**2*x + 2*t**2 - 18*t*x - 11*x**2 - 6 wrt t?\nAnswer: 4*x**2 - 7938*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -20*i - 103. Let k be x(-20). Let h = k + -195. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 47 - (19 + (-29 - -3) + -5)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1799 - -1822. Calculate the highest common divisor of j and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*v + 10 = -t, 5*t = -5*v + 15. Calculate the least common multiple of t and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 79?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117731 and -4.\nAnswer: 470924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 12903103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*s = -3*v - 1560, 3*v + 1590 = 3*s. Let q be v\/20*-1*(-2)\/(-3). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 1. Let w(l) = -l**4 - 19*l**2 + 21*l - 5. Let p(y) = 3*h(y) - w(y). Find the second derivative of p(x) wrt x.\nAnswer: 12*x**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18338961 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -276968693 minus 53628?\nAnswer: -277022321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120120938 to the power of 1\/2, to the nearest integer?\nAnswer: 10960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 5*k**3\/6 - k**2\/2 - 3*k. Let i be (-120)\/80*(-1 + -1). Let f(y) = y - 1. What is i*f(g) - q(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(-2\/9))**(3\/4) assuming o is positive.\nAnswer: o**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19605.\nAnswer: 3, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqoooxosao. Give prob of picking 3 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -51. Solve 8*c = g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 114 + (-3)\/(-3) + 0\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 74520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131105540\/21 - 6248192. Let h = m - -5070. Let b = h + -377\/462. What is the common denominator of b and -57\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/4 + 25*f**3\/2 + 529*f**2\/4 + 228*f + 108 = 0. What is f?\nAnswer: -36, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(1 + -7)\/(-3). Let m be ((-1)\/5)\/(8\/c). Let b(u) = 2*u - 1. Let z be b(1). What is the second smallest value in m, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 0, -1 in increasing order.\nAnswer: -1, -3\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 7*m. Let i(o) = 2*o**2 - 7*o + 1. Let f(r) = -4*i(r) + 3*p(r). Determine f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2908 in -2\/3, 14, 0.2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 1. Let o be x(-1). What is the third derivative of 0*q**2 - 3*q**4 + 2*q**2 - o*q**2 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-5)\/h)\/h*h\/(h**(-4\/7)\/h))\/((h\/(h\/h**(-2))*h)\/h*h*h*h**(2\/9)\/h)*((h\/((h**3*h*h)\/h))\/(h*h**6*h))**(3\/2) assuming h is positive.\nAnswer: h**(-2413\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42370 is divided by 109?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -652*q + 7270*q + 10622*q + 1492*q + 3*q + 2*q - 7*q + (-1 + 3 + 0)*(0 - q + 0) + 1 - 1 - 2*q.\nAnswer: 18726*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -12*l + 33. Let h(r) = 16*r - 33. Let i be h(l). Solve w + 3*j + i = 0, 0 = -3*w - 8*j + 5*j - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 71*b - 3 - 507*b**3 - 68*b + 134*b - 401*b**3.\nAnswer: -908*b**3 + 8*b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.8 + -7.1. Let w = -60 + 42. Let l = w + 15. What is the biggest value in o, l, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.322 times -1?\nAnswer: 5.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 19}. Give prob of sequence shh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u = 49*u - 3*u - 1417. Solve u*q = 33*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 5 = 5*c, 0 = -4*c + f - 1. Let r = -940\/7 - -134. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1680*x**2 + 10*x - 14.\nAnswer: -3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -19646, 0.2, 5\/6, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.095708 tonnes to grams.\nAnswer: 95708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2255623 and -243.\nAnswer: 2255380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + o = 14247, -2*x + 9488 = 4*o - 0*o. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4136*r - 4356*r - 4136*r + 12588*r.\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 5) to base 6\nAnswer: -3251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 32 = -3*g - 21, 4*u + 55 = -g. Is u at most as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c + 36. Let r = c - -37. Find the common denominator of r\/(-18)*(0 + 4) and 89\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1 - 167*c**2 + 20*c + 5*c**3 - 39*c + 2 + 21*c + 175*c**2. Calculate p(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + k. Suppose k = -2*o + 3*u + 679, 4*o - u + 5*u = 1408. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -73. Let z(c) = -c**3 + 4*c**2 + 5*c + 4. Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6362.\nAnswer: 2, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 10435458*k + 31306401.\nAnswer: -3*(k - 3478489)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8))**(9\/2)\/(a*a**(-2)*a)**(-2) assuming a is positive.\nAnswer: a**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111011201000 (base 3) to base 14.\nAnswer: -4612a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 4*s + 1. Let q(b) = -b**3 + 3*b**2 - 2*b + 3. Suppose 3*v = -2*k - k + 6, -8 = -4*v - 3*k. Let g be q(v). Is y(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 20*b = 7*b + 8*b - 14*o - 104, 3*o = 5*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 2. Let c(o) = -2*o + 2. Let r(z) = 4*c(z) - 5*m(z). Let g(i) = 2*i + 1. Give 5*g(h) + 2*r(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11898.6 - 9955. What is b rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74201734.\nAnswer: 2, 37100867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -35*q**4\/4 - 2*q**3\/3 + 5*q - 63. Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 1.208.\nAnswer: 43.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -10\/33 in increasing order.\nAnswer: -5, -10\/33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:11 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/27 - 151\/108. Let m = -2492488\/7 - -356070. Which is the closest to -0.1? (a) -0.33 (b) -1 (c) f (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 317518928?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/37 (b) -2\/3 (c) 214 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 10}. What is prob of sequence kw?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19713811 to the nearest 100000.\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1413434?\nAnswer: 1413443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10089.72 * 0.5.\nAnswer: 5044.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-310)\/(-3255)*(-21)\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -31 + 13 + 9 + 12*h + 11. Let z(x) = x. What is z(q(i))?\nAnswer: 12*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44404 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-4 + -3)**2.\nAnswer: 288*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 10 = -r. Calculate the least common multiple of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*a - 1 + (-1 - 1 + 0)*(-3*a + 3*a + 2*a) + 7*a + 3 - 3 + (3 + 0 - 2)*(2 + a - 2).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, -1\/3, 0.868, 1 in descending order.\nAnswer: 4, 1, 0.868, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.11, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.231 - -14.9. Let l = 69.889 - 70. Let s = l - j. Round s to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*a + 15, 3*r = -3*a + 15 + 18. Let s(n) = n**3 - 9*n**2 + 21*n. List the prime factors of s(r).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b + 2*n - 45 = 58*b + 14, -6 = 2*n for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -20, 5*i + 17 - 72 = -5*x. Let q = i + -8. Let o be ((-5)\/(-3))\/(q\/6). Which is the third biggest value? (a) 2 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(-1\/4)\/r)\/r)\/r)\/r**6)\/(r**11*r*r\/r**(-1\/2)*r))**18 assuming r is positive.\nAnswer: r**(-855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x + 12. Let o(d) = -4*d - 11 + 6*d + 5*d - 1 - 17*d. Let g(v) = -3*n(v) - 4*o(v). Give g(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 2, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 - 1 + 15*n - 15*n - 1.\nAnswer: 14*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 60. Let s = 46 - y. Let g(b) = 3*b + 3 + 0*b - 6*b. Calculate g(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 18.1, -0.9, 5, 0, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 265 = 187*d - 192*d, -239 = 3*o + 4*d - 0*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14397504)\/(-175593) + -2 + -80?\nAnswer: -2\/313","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*i**4 - 18*i**4 - 19*i**4)*(-5*i + i + 2*i).\nAnswer: 22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - -2) + 5)\/2. Suppose -4 = -u - 4*i - 0*i, 4*u = -2*i + o. Let x = 40 + -77\/2. Put x, u, -2\/11 in descending order.\nAnswer: x, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9)**47 assuming p is positive.\nAnswer: p**423","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1996656 + 1996656 - 198*c**2.\nAnswer: -198*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavaaaaaaaavavvaaaaa. Give prob of sequence vvv.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359755 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*p - 4. Suppose 0 = 3*v - v - p. Differentiate -2*z**2 - v + z - 4*z + 3*z with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.3649997334 + -13.365. What is w rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -354*t + 2742. Let g be x(7). What is the greatest common divisor of 1650 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 7:26 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -19 - 8. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114813, -114794, -114753, -114684, -114581, -114438, -114249, -114008?\n\"Answer: u**3 + 5*u**2 - 3*u - 114816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*20\/(-45)*(-6)\/(-20). Suppose 0 = 4*l - 4*g + g + 8, -5*g = -4*l - 16. Which is the closest to y? (a) l (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/33 and 58\/6393.\nAnswer: 70323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632441.\nAnswer: 7, 376063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -36244\/7 greater than or equal to -5179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let a be (-10)\/r*(-12)\/(-50). Suppose -6 = -5*b + 4. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(1008))**2 + 3 - (sqrt(784) + -1*sqrt(784) - sqrt(784))\/((sqrt(567) - (-2*sqrt(567) + sqrt(567)) - sqrt(567)) + sqrt(567)).\nAnswer: 2*sqrt(7)\/9 + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1499\nAnswer: 2\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540 divided by -880.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 + 96*t**2 + 3024*t = 0?\nAnswer: -18, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 8) in base 13?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1619509229011\/128267101080 + 97\/42927410. Let d = -4\/3735 + b. What is the common denominator of d and 81\/68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/57 - -235\/228. Solve 3\/4*t**3 + 3\/4*t**2 + 0 - 3\/4*t**5 - u*t**4 + 0*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose -5*j + 3*c + 250 = t, -6*j + 3*j + 2*c + 149 = 0. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let y(g) = -15*g**2 + g - 2867167. Determine y(d(l)).\nAnswer: -15*l**2 + l - 2867167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 4, i: 3, c: 1}. Give prob of picking 1 c, 1 i, and 2 x.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84514494 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 305.9273 tonnes?\nAnswer: 305927300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6555 - -6584. Solve -2*s = -w - 13, 3*s - 3*w - r = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*j**2 + 3 - 3 + 78*j**2 as b*j**2 + k + w*j and give b.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2952 and -31\/4920?\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260.75032 - 249.75. Let r = 10 - -1. Let y = i - r. Round y to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4170+501\nAnswer: 4671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*b - 4*b = -514, 1325 = 5*n - 5*b. What is the greatest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 13. Let x be 1\/(-6) - (-2)\/z. Suppose -2*q**2 + x + 0 + 2*q**3 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, 1\/5, -0.05?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5413 (base 8) to base 15\nAnswer: c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73767163 to the power of 1\/2, to the nearest integer?\nAnswer: 8589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 2109*k**2 - 12730*k - 84600.\nAnswer: (k - 10)*(k + 4)*(k + 2115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-976)\/(-192) + (-1)\/12 + 95 + 0. Solve -140 = 10*j - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1650*p + 13199. What is o(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332310 - 3?\nAnswer: -1332313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**6)\/(c*c**(-6)*c)*(c*c**(2\/3))\/(((c\/c**(-10)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 x, 1 m, and 1 f when four letters picked without replacement from frffbbfmmfmxfx?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130540502?\nAnswer: 2, 23, 1567, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*o - 4, -2*o + 24 = -5*l + 4. Suppose 0 = -5*m - 0*m. Suppose m*f - 4 = -f. Solve f*i = v + 2*v + 32, 3*i - 15 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206 less than or equal to 3196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*d + 160*d = 30 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2 + (-15)\/9). Suppose -7*v - n = -4*v. Let c = -5666 + 62322\/11. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 26167460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 53*g - 20. Give t(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 5:47 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, -0.073, 18, -0.218?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 greater than or equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41162, -55, -2 in descending order.\nAnswer: 41162, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3120 = 5*z + 190*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/(24\/(-120))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let d(q) = -q + 10. Let p be d(10). Let r = a + p. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371 + 370.687. Let v = -5.503 - -5.6. Let f = r - v. What is f rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57123837 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6052*l + 61275 = 170211 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732701 is divided by 146526.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493 less than 2488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 6*s**5\/5 + 40*s - 12. What is the derivative of g(w) wrt w?\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/14)\/((132\/(-105))\/22).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329138, 658299, 987458, 1316615, 1645770?\nAnswer: 1974923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 - 71588*d**3 - 714368*d wrt d?\nAnswer: 24*d**2 - 429528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5511522 (base 8) in base 4?\nAnswer: -11221031102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*k + 2, -2*k - 12 + 10 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l)*(17 - 10 + 7) - 2*l + 2*l - 2*l + (3 + 1 - 3)*(1 - 1 - l) + 0*l + 2*l - 3*l - 5*l - 2*l + 5*l + 3*l + l - 2*l - 5*l + 5*l + 2*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1368948 and 2107.\nAnswer: 9582636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 192864 divided by -6\nAnswer: -32144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.058, 0.3, 10, -15, -25 in decreasing order.\nAnswer: 10, 0.3, -0.058, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(180)).\nAnswer: -6 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -23 - 4. Let d = j + 13. Suppose -3*r = -52 - 8. Calculate the highest common factor of r and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1092364524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by 4.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 + 17*u**2 - 6*u. Let p be o(5). Is -3 - (-1462 - p\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/20 + s**4\/6 - 5*s**3\/6 - s**2 - 3*s. Determine n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 2*k + 15. Let x(n) = -3*n**2 + 3*n - 32. Determine 7*f(w) + 4*x(w).\nAnswer: 2*w**2 - 2*w - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 43, 96, 169?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -5*k**8\/2016 + k**7\/9 + 17*k**6\/72 - 37*k**5\/18 + 145*k**4\/48 - 181*k**2 - 17. What is c in t(c) = 0?\nAnswer: -3, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - 2 - (111 + -73 - 18).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66477 take away 18328?\nAnswer: -18327.33523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 - 80*u**2 - 68*u + 152 = 0 for u.\nAnswer: -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 35*o + 91. Let p be r(-33). Suppose -p*g + 803 + 597 = 0. Solve -4*x + 72 - g = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -143.4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-136)*(32 - 26 - 18\/4).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let q be (-52)\/(-6) + 11\/33. Let k = q + v. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-2 - -3 - -3). Suppose 4*m - 6 = -26. Let l be -2*(-6 - m)*p\/(-12). Put l, 0.3, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439334 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 40*z - 98*z - 1 + 37*z.\nAnswer: -21*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a0 (base 12) to base 8.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1161989 or 1161992?\nAnswer: 1161989","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from {l: 3, h: 1, t: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52689 and 72375.\nAnswer: 6586125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 2946347?\nAnswer: -2946343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i = -12*i + 5520. Let z be (-46*2\/10)\/(256\/i). Is z at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 - 135 = 2*u + 126 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4245*r**3*x**2*y**2 - 6*r**3*x*y - 2*r**2*y - 47639*r*x**2*y**2 + 4*r*y - 4314*r - 3*x**2*y wrt y.\nAnswer: -8490*r**3*x**2 - 95278*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38437 divided by -140.\nAnswer: -5491\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27978944 divided by 46018.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -8582880\nAnswer: 137326080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 10929 + 21858 = 3*u + 10936, 7*a - 5*u + 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-34982)\/(-34) - 10\/(-85)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 18 = 5107*y - 5100*y, -4 = y + 2*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7828034 - -5?\nAnswer: 7828040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/142 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 7 - 17 - 6*u**2 to the form y*u + f*u**2 + n and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/(11\/(-33)). Solve -18 = 5*v - t, u*v - t = -3*t - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181283 take away 975?\nAnswer: -8182258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 95100\/95921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**3 + 5*o**2. Let q(g) = 24*g**2 + 29*g**2 + 15*g**2 + g**3 - 67*g**2. Suppose -3*k + 0*l = -2*l - 3, -3 = -4*k + 3*l. Give k*c(t) - 15*q(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1176 + 825.6. Let y = q - -350. Let w = -79\/8 + 10. Which is the nearest to -3\/4? (a) y (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*f + 16, 0*h + 11 = -2*h + 5*f. Suppose h*i = x + 8, 3*i - i = -x. Calculate the lowest common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - o + 3*o - 5*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7 + 2*n**2 - 4*n - n - 3*n - 3*n**2. Let l be g(-2). Solve l*w - 3*w + 2 = -3*u, -u + 4 = 3*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.9 * -0.0465.\nAnswer: 0.83235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*x - 7 = 2*x, 15 = -5*k + x. Let z = k - -6. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*(12\/2)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148794?\nAnswer: 2, 3, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 13580.07 and -48\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 2*y**2 - 10*y + 13. Let v be l(5). Let f(n) = v*n - 138*n - 16*n**2 - 14*n**2. Let h(j) = 3*j**2. Calculate h(f(p)).\nAnswer: 2700*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3209*l - 55. Is m(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5839.9 - 5840. Let h be (-3 - 0)*2\/(-27). Which is the second biggest value? (a) 3\/4 (b) h (c) x (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 1:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1 - (-9 - -7). Let q be 17 - j - 1*2. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.91 rounded to zero decimal places?\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*y - 607, -3*c + 5*c + 4*y = 310. Let v = 223 - c. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325) - sqrt(325) - sqrt(325))*6.\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -140425 (base 6) to base 3\nAnswer: -122222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i - 35. Let n(k) = -k**3 + 9*k**2 - 6*k - 18. Let l be n(8). Let y(p) = 2*p**3 - 2*p**2 - 8*p - 7. Let r be y(l). List the prime factors of d(r).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6408.518 litres?\nAnswer: 6408518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 993 times 12\nAnswer: 11916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = d - 5*v, -2*d + 216 = -v + 3*v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3\/3 + 5*g**2 - 6. Let c be u(-10). Suppose c*b = -2*b + 20. Solve -2*a = -3*q - b, -6*a = -2*q - 3*a - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, -0.04 in descending order.\nAnswer: 3, 1\/3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l + 5. Calculate the remainder when 111\/1 + 8\/2 is divided by x(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 7746. Let b(a) = 5*a + 12. Calculate b(m(h)).\nAnswer: 5*h - 38718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16867.44 litres?\nAnswer: 16867440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 5*z + 65, 4*l - 2*z = -42. Let q be (10\/30)\/(l\/(-6)). Which is the nearest to q? (a) -5 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 5*t**2 + 7*t - 1. Suppose 0 = 7*x + 5 - 26. Let m be y(x). Let 8\/9*h - 2\/9*h**m - 8\/9 = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 20*d**2 - 4*d - 3. Is h(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 12 + -6 - (0 - -2 - -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 171c?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 + 3*u + 2. Calculate l(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c - 3*c**3 + c**3 - 7*c**2 + c**2 + 10 + c**3. Let s be p(-7). Suppose 4*u = -s*u + 630. What is u rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -70*t**2 + 3*t + 28. Determine i(2).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, 1 i, and 1 r when four letters picked without replacement from iiyycriiiyychyy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 12 - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -13\/2*a**2 - 1\/6*a**3 - 2*a + 0. Let p be c(-10). What is the nearest to -2\/7 in 0, -5\/6, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*x - 3*x**2 - 74*x - 4 + 3)*(30*x**2 - 963*x + 963*x).\nAnswer: -90*x**4 + 60*x**3 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = -31*h - 4. Calculate the smallest common multiple of 192 and h.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -11, -28, -51?\n\"Answer: -3*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/120 - 107*j**3\/6 + 133*j**2. Let l(u) be the first derivative of s(u). Let b(q) = q - 198. Determine l(b(x)).\nAnswer: -x + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 252590877 a multiple of 2119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22389 - 22379. Let n(d) = -3*d**3 + 3*d**2 - 3*d + 4. Let j be n(3). Let p = 149 + j. Calculate the greatest common factor of l and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30869.44066 and -21.\nAnswer: -30890.44066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 105145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 2:55 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.70459 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 2460?\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 10. Let d(t) = 20*t - 100. Let o be d(5). Determine y(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 26*w = -120. Solve 3*y - 12 = 3*a + w, 4 = 2*y + 4*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/869363 and -31\/6698?\nAnswer: 342529022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2)*(-4)\/(-6). Let i(d) = 3 - 3 + 2*d**g. Let p(z) = -z - 92. Let o(r) = 2*r + 230. Let a(u) = 8*o(u) + 20*p(u). Give a(i(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.06 + 0.06. Let p = 3 + n. Let d be 1 + -1 + (-2)\/(-3). Which is the closest to p? (a) d (b) -1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(5\/3)*k)\/k)\/k)**(-11)*(k\/(k\/(k*k**3*k))*k)**(-5\/4) assuming k is positive.\nAnswer: k**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010628109 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -4, 0.05719, 2\/9?\nAnswer: 0.05719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43622 (base 11) in base 8?\nAnswer: 173513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + 4*s - 2. Let y be n(3). Let d = 1107 - 243. Let h be 16\/6 + 16\/d*18. Solve k - y = -h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 2*h**3 - h**5 + (1 + 2 - 1)*(h**3 - 2*h**5 - h**3) - h**5 + 4*h**3 - 4*h**3 - 2*h**2 - h**5 + 2*h**2 - 3*h**4 - 2*h**5 + h + 3*h**4.\nAnswer: -9*h**5 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.67 + -13.67. Which is bigger: -43 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19.45 or 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818084 is divided by 111.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95038 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:15 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2)\/(12\/40). Let q = i + 10. Solve 3*z + q*z - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*b + 48*b + 3*u, 12 = 4*b + 2*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4575*o - 2*b - 19 = -4576*o, b = 2*o - 41 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*u - 115800 = 0, -20*q + 13*q + 2*u + 270282 = 0. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3 + 1377*t**2 + 632043*t + 96702579 = 0.\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1.6?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 5042.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-18*6\/120)\/3\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 608.4089 nanometers?\nAnswer: 0.0000006084089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*u + 32*u + 11*u)*(-9*u + 4*u - 14*u + (-u - 3 + 3)*(1 + 1 - 1)).\nAnswer: -1680*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-12))\/((-18)\/(-4)). Let p = -7776 - -7775. What is the closest to 0 in x, 0.3, -13, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59090 = 67*v + 58286 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000793436849 to six dps.\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 130 = -2*c. Let r be (10 - c) + (-1)\/((-3)\/9). Solve r = -4*v + 15 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m. Let g(o) be the second derivative of -289*o**4\/3 - 2*o**3\/3 - 3*o**2\/2 - 30*o. Let w(c) = -g(c) + 5*z(c). Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 13 + 13 + (4 - 3 - 3)*(134*t + 165*t + t).\nAnswer: -598*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -6 (c) -8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*f**3 - 29*f**3 - 18*f**3)*(-3*f + 0*f + 5*f)*(0 + 5 - 1).\nAnswer: -1304*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 = -13*t + 8*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 times -1.221?\nAnswer: -0.34188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190158559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(3 + 1*sqrt(405)*-1 - ((0 + sqrt(405))*1 + -1 + sqrt(405) + -5)))**2.\nAnswer: -437400*sqrt(5) + 3353400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4 = -3*d, -4*d + 0*d - 10 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 7*v + 4 = 0. Suppose 4*k + 12 = p, -3*k - 3*p - 9 = -2*p. Put 4, v, k, -5 in ascending order.\nAnswer: -5, k, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 342, 39, -0.044 in decreasing order.\nAnswer: 342, 39, 3\/7, -0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 31*t - 26. Let u be z(-28). Calculate the highest common factor of 522 and u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u**3 - 26*u**3 - 1361*u**2 + 21*u**3 - 20*u**3.\nAnswer: -u**3 - 1361*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16597m in micrometers?\nAnswer: 165970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -17, -3, -13, 9 in decreasing order.\nAnswer: 9, 7, 1, -3, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 9 - 16 - f + 39.\nAnswer: -f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 987*w**5\/20 - 74*w**3\/3 - 3*w**2\/2 - 549*w. What is the second derivative of p(v) wrt v?\nAnswer: 5922*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2178.666cm to kilometers.\nAnswer: 0.02178666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 171, 158, 129, 78?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/3*126\/(-105). Solve -5*p - 10 = 3*z - 6*z, 0 = -4*z - n*p - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.12 (b) -1\/4 (c) -349.6 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76604321 is divided by 368290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*f + 40. What is the greatest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*d = 6*d + 993, 2*j - 3*d - 390 = 0. Suppose 109 = 174*l + 105*l - 449. Suppose l*p - j - 219 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/11 (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 8:03 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363599*h - 44308 = 364435*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxoxxxxxxxx. What is prob of sequence xxo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1369*r**2. Let a(c) = -434*c. What is a(s(n))?\nAnswer: -594146*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onorerrreaeurreorooe. Give prob of picking 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 92 - 38 = 0. Suppose -b = -5*i + 134. Let p = -4 + i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 149.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -5*x - 2*l, -x - 4*l + 24 = 0. Suppose 2*n - x*n + 6 = 0. Suppose 2 = n*o - 16. Solve -o*w = -w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/21 + 142*t**4\/21 + 130*t**3\/7 - 1270*t**2\/21 - 3152*t\/21 - 544\/7 = 0.\nAnswer: -68, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4334113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(-9*(-105)\/378)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4466 = 10*t - 5*t + 6*t. What is the lowest common multiple of t and 174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (-13 + 5 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133526060.\nAnswer: 2, 3, 5, 6297367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:12 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7260*t**4 + 2008*t**2 - t?\nAnswer: -174240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/8)*u*u**(2\/5))\/(u**(-11)\/u*(u*u**(-5)*u*u)\/u) assuming u is positive.\nAnswer: u**(671\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*y = -y - 29, -9 = -5*s - 4*y. Suppose s*i + 5*m + 5 = 0, -3*m = -m + 6. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/102 and 31\/4034481.\nAnswer: 137172354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 139361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 4 = -17*j. Suppose j*m - 126 + 30 = 0. Calculate the highest common factor of m and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (166890\/12)\/((-2)\/(-4)). Suppose c = -4*c + n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + q - 344 = -4*q, -5*d = -3*q - 1636. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1073329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 397\/10, 0.2, 4 in ascending order.\nAnswer: 0.2, 4, 397\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 28*c + 369. Give v(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 = u, 7*s - 11*s + 20 = 0. Let m be (-12)\/3*(u - (-3 + 4)). Is m > -29\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -594, -591, -588, -585, -582?\n\"Answer: 3*h - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(-6*14*(-4)\/(-112))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2455 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239423091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002407320 rounded to the nearest one hundred thousand?\nAnswer: 1002400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 j, and 1 m when four letters picked without replacement from mijjmwwnmm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-30)*3 - (-99304)\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 10 + (-15 + 7 - (7 - -4))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 6*j**2 + 3*j**2 + 10*j**2 + 2 in the form d*j**2 + o*j + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-55)\/264*4)\/((-15)\/9))\/(8\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 2091 = -2421 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 50933?\nAnswer: 3\/50933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 + 43. Let l = -128 + n. Let u be (-58)\/(-5) + (-8)\/((-120)\/(-9)). Calculate the highest common divisor of l and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5380, -1, 1 in increasing order.\nAnswer: -1, 1, 5380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/32 and -103\/67785440.\nAnswer: 67785440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.4, 309, -0.83 in increasing order.\nAnswer: -0.83, 6.4, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:29 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1865, 4123, 6367, 8591, 10789, 12955, 15083, 17167?\nAnswer: 19201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679866985 to the power of 1\/3, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -v - 72, -3*j - 223 = 2*v + 2*v. Let q = v + 54. Let b be q - (9\/3 - 3). Solve -2*f - 20 = b*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(0 + 5 - 4)*(345*n - 109*n + 772*n).\nAnswer: -1008*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-54)\/60*(-15)\/(-2) and -26\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*u - 4, -2*u - 3*u + 20 = 0. What is the third derivative of -394*w**4 - 7*w**2 + 324*w**f + 6*w**2 + 2 wrt w?\nAnswer: -1680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p**2 + 15*p - 17. Let f(g) = -5*g**2 + 5*g - 6. Let t(j) = 11*f(j) - 4*v(j). Is t(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.63480595 * -5\nAnswer: -3.17402975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64325041 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53465 + 53461. Suppose 0 = -2*z - 2*z + 4. Which is the third biggest value? (a) 1\/3 (b) 0.5 (c) z (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6))**7\/(l**(-10)*l**(1\/6)) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2342 + 12471. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20275, -40544, -60799, -81034, -101243, -121420?\n\"Answer: n**3 + n**2 - 20279*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f - 369. Calculate the highest common factor of 82 and f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 13*w - 83881. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1318864017007.41760046 - -1318864005619. Let j = 11392.9176 + r. Let l = j + -4.5. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 12*m**2 + 45*m. Let k be b(-15). Suppose 3*u + 5*i - 32056 = k, -13*u + 5*i + 42753 = -9*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - g + 0*g + g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 30 = -9*h. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 269446, 269241, 268898, 268417?\n\"Answer: -69*x**2 + 2*x + 269513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s - 4*s - 7*s)*(s - 2*s + 1 + 0*s)*(2*s - 2*s - 2*s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1\/8*d**4 + 0*d**3 + 0*d + d**2 + 2. Let x(r) be the second derivative of h(r). Let w(m) = 2*m**2. What is w(x(k))?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d. Let z(o) = 6*o. Let y(f) = -4*p(f) + 3*z(f). Let i(k) = -2*k + 7. Let b(r) = -r - 1. Let c(a) = 14*b(a) + 2*i(a). What is c(y(g))?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -115, -117, -119, -121, -123?\n\"Answer: -2*u - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0996 - 0.098997. What is r rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = n, 2*n + 2*n - 20 = -b. Let h(d) = 4*d + 0 - 2 + 1 + 3*d. Let l(w) = 3*w - 1. Let x(u) = n*l(u) - 2*h(u). What is x(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*z + 819 - 1187 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29643971 or 8?\nAnswer: -29643971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00250607 rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34840, 139376, 313610, 557542, 871172, 1254500?\n\"Answer: 34849*q**2 - 11*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 622 - 224. Suppose -396*u + 8 = -m*u. Let j(x) = x**2 + 8*x + 8. Determine j(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/18)\/7 - (-763)\/(-654). Is 2\/13665 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104547913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1162\/996)\/(1 + (-55594)\/55596)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 5. Let s be f(0). Let v = s - -8. Solve 0 = -v*r - 8 + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876002363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 21*a**2 - 27*a + 22. Calculate b(-22).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1627 - 2209 = 7*s. What is the common denominator of 23\/5 and (9 - s\/(-70)) + 6\/10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(6\/25))**(20\/3)*u\/u**42*u*u**(-2\/3) assuming u is positive.\nAnswer: u**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 1. Let z(r) = 8*r**2 - 7. Let o(h) = -14*w(h) + 2*z(h). Let t(j) = -j**2. Let y(s) = o(s) + 4*t(s). Let g(m) = -20*m. Determine y(g(x)).\nAnswer: -800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 897 + 452*v + 19*v**2 - 2667*v - 17*v**2 wrt v.\nAnswer: 4*v - 2215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195137 is divided by 337.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 320, 319, 318, 317?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 2}. Give prob of sequence iw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((1 - 32) + 10 + -9). Let r(m) be the third derivative of -1\/2*m**3 + 0*m**4 + 0 + 0*m - u*m**5 - 5*m**2. Differentiate r(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*q - y, -3 = 5*q + 13*y - 16*y. What is l in -10\/3*l**q + 215\/3*l**2 - 110\/3 + 115\/3*l = 0?\nAnswer: -1, 1\/2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvii when four letters picked without replacement from vimsmsimissiivsvsi.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*y - 8*y - 95*y)*(7*y**3 + 9*y**3 + 3 - 15*y**3) to the form m*y**3 + q + j*y**4 + z*y + s*y**2 and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4203.42 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let p(x) = x + 18. Let m be p(-16). Let c(s) be the second derivative of -s**m - 7\/6*s**3 + 0 - 3*s. Determine 6*a(h) - c(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/8)*h*h\/(h\/h**16))\/(h*h**(4\/15)*h*h**(-30\/7)\/h) assuming h is positive.\nAnswer: h**(17341\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 6:23 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2324*f**2 - 23*f - 4 wrt f.\nAnswer: -4648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/58 and -3\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.3, 2, 0, 3, 28743?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 5*j + 27. What is the hundreds digit of d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 18 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*a = 8, -9*w + 3*w + w - 7*a - 151 = -3*a for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 147\/73?\nAnswer: 147\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*z + 23 = 0, 0 = 2*b - 6*b - 5*z - 7. Find the second derivative of 0*q**b + 2*q**2 - q + 3*q - 6*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 10:40 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 681842590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 8*j**2 - 7*j. Let g be o(9). Is 7\/((-28)\/g)*-18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*n + 704 = 0, 30*n + 892 = 4*w + 25*n. Calculate the remainder when w is divided by 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, q: 1, s: 2, p: 2, k: 5}. Give prob of sequence kqk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18327183 or 18327184?\nAnswer: 18327184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 492 + -708. Let g = 365 + n. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 3*f, 2*f - 11 - 11 = -5*o. Solve 2*q = o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298, -590, -884, -1180, -1478, -1778, -2080?\n\"Answer: -v**2 - 289*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 149.2*-960\nAnswer: -143232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23841 - -36340. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -6, 2, 1702 in increasing order.\nAnswer: -6, 2, 72, 1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Suppose -d + 0*k + 2*k + 9 = 0, 0 = -4*k - 20. Is d < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/11340 - w**6\/810 + 5*w**4\/24 + 2*w**3\/3 - 34*w**2. Let j(m) be the second derivative of b(m). Factor j(x).\nAnswer: -2*x*(x + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -10, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -4311 - 1662. List the prime factors of j.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*i + 45, 44 = -3*r + 5*i - 21. Let p = 35 + r. Suppose -4*l - 3*d = -179, p*d + 12 = -l + 61. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44305.214 rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41643 = 2224*y - 122933 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 638227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 223*g**2\/2 - 3*g + 1. Let n = -2621 + 2625. Is x(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3616 and 59\/3659392.\nAnswer: 3659392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 283407643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (10 + (-12 - -48 - 15))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = 3*r, 85*k = r + 88*k + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -22*h + 11. Calculate f(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 832*v - 1 - 9 - 821*v + 1650*v.\nAnswer: -3*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -33*t + 2. Let d be h(1). Let w be (-16)\/d*(-21)\/84. Which is the nearest to -1? (a) w (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 2*f**2 - 3 + 6*f**2 + 4*f. Let o = 22 - 13. What is the least common multiple of o and q(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*m - 735, -732 = -3*k - 2*m + 4*m. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63623047.\nAnswer: 4813, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457463877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44588033 is divided by 1427.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 152641467119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 + -84. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-24))\/((-1)\/(-2)*12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24657955, -49315908, -73973861, -98631814, -123289767?\n\"Answer: -24657953*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3345 + 13085\/4. Let n = -74 - x. What is the nearest to 1\/3 in 0, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 3 + 63*6. Let f be -10 + (-2457)\/12 - (-2)\/(-8). Let a = r + f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(10\/7))**(1\/8))**44 assuming x is positive.\nAnswer: x**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 + 420 = 3*j + 5*r, -r = -1. Let t(n) = n**3 + 6*n**2 - 2*n - 5. Let d be t(-6). What is the highest common factor of d and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937.\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6, -100, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29.6383 and 84185885.2?\nAnswer: 84185855.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5341194087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -862 - -572. Let b be 82\/12 + r\/348. Solve -b*i - 3*i + 27 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-7 - 1*-2). Suppose -1 + 21 = -c + 3*o, -2*c + l*o - 25 = 0. Let j = -9 + 10. What is the closest to j in 1\/4, -0.1, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-4\/17))**(2\/169)\/((((p**5\/p)\/p)\/p*(p**(2\/5)*p)\/p)\/((p**1\/p)\/((p**(-1\/6)*p*p)\/p))) assuming p is positive.\nAnswer: p**(-279161\/86190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u = -12599 + 14071 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72e - 64?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 20.1. Let v = -1.04 - -0.94. Which is the closest to p? (a) 2 (b) v (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggxx when four letters picked without replacement from {x: 8, g: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94335 and 3.\nAnswer: 94335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.01179 - -0.17179. Which is smaller: -2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9384605?\nAnswer: 5, 89, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52477, 210063, 472693, 840355, 1313037, 1890727, 2573413?\nAnswer: 3361083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6592, 6609, 6626?\nAnswer: 6643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184\/3 - 61. Let l = 0.4 + -0.3. Let o = 102 + -205\/2. Which is the closest to l? (a) 0.01 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -20*f**2 + f - 58. Let o(n) = -11*n**2 - 29. Let x = 149 + -153. Let z(l) = x*i(l) + 7*o(l). What is the derivative of z(k) wrt k?\nAnswer: 6*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -860c36?\nAnswer: -860c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85653 and 198936?\nAnswer: 6167016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(95) - -2*sqrt(95))*6 - 2*sqrt(95)*-1))\/((sqrt(315) + -2*sqrt(315))\/sqrt(7)*5))**2.\nAnswer: 4864\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 57667*v**2 - 3*v + 6. Let a be o(3). What is a rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxxo when four letters picked without replacement from {x: 2, o: 3, z: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*m**3*n + 2*k*m**2*n - 3*k*m*n**2 - 19*k*n**3 - 2*m**2*n**3 + m**2 - 2 wrt m?\nAnswer: -6*k*m*n + 4*k*n - 4*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -39876*y - 239248. Calculate i(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -64, 3\/2, 5.\nAnswer: -64, -2\/3, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 8. Let d be 18\/(-6) - 21\/7. Give f(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + ((0 + sqrt(176))*5)**2)*-2 + 3 + sqrt(176)*-5 + -3 + -1 + sqrt(11).\nAnswer: -8801 - 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from {h: 3, v: 1, j: 3, a: 1, l: 4, m: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376971 divided by 125657.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*a**4 - 2854*a**3 - 7*a**2 + 1277025 wrt a.\nAnswer: -768*a - 17124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 6*s - 3. Let w be (1 + 0)\/(12\/(-72)). Let m be g(w). What is the third smallest value in m, 1\/12, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 26*j + 15*j + 994*j**2 - 52*j - 4*j.\nAnswer: 994*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 6:00 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 56813332*o**2. Let w(g) = 9*g**2. Calculate w(p(h)).\nAnswer: 29049792236480016*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/65 - 62\/195. Which is the nearest to -1\/4? (a) t (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 154095180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, 68, 525, 1448, 2993, 5316?\nAnswer: 8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*j + 15912 = -353*j. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 20.92. Let t = 17.72 - 17.63995. Let b = t + j. What is b rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7))\/f)**(1\/43)*f**(-4\/3)\/(f**(-2)*f) assuming f is positive.\nAnswer: f**(-295\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f*m**3 + 65*f*m - 5015869*f - 18363*m**2 + 2*m wrt m?\nAnswer: -9*f*m**2 + 65*f - 36726*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 1. Let w be q(-1). Let t(c) be the second derivative of 3\/40*c**5 + 0 + 1\/15*c**6 + c + 0*c**2 + 0*c**w + 1\/56*c**7 - 1\/24*c**3. Factor t(n).\nAnswer: n*(n + 1)**3*(3*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002484761234 rounded to seven decimal places?\nAnswer: -0.0024848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(24)\/(-6*sqrt(192)).\nAnswer: -5 - sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-255)\/425)\/(((-130)\/(-10))\/(-1430)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -1\/2, 5, -9\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053151994.9 to the nearest 10000.\nAnswer: -1053150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.0044181\nAnswer: -0.00220905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -1\/6, -21 in descending order.\nAnswer: -1\/6, -2, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 8*j - 4. Let o be p(-3). What is the highest common factor of o and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*r**3 - 186*r**2.\nAnswer: 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2897\/2514 + -6\/419. Suppose 2*y - 50 = 5*k, -4*y - 5*k = -5*y + 25. What is the common denominator of y and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9916447 divided by 54787?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.3 + -11. Let i = -6 - -6.2. Sort f, 4, i in descending order.\nAnswer: 4, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 46, -1, 22, 2\/7, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*y - 2137 + 578 = 3886 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 5*a**2 + 5*a - 2*a to the form f*a + i*a**2 + p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -245799455 take away -0.5?\nAnswer: -245799454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 1. Let c be k(4). Suppose -6*o + 2*o + 84 = 0. Let i = c + o. Calculate the least common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12563 is divided by 12521.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 4*t**2 - 2*t - 2. Suppose v - 6 = -0*v. Let z(n) = -n**3 - 4*n**2 - 3*n - 2. Let m(x) = v*z(x) - 4*g(x). Find b such that m(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z**(-2) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4\/5 + 171*j**3\/5 + 351*j**2\/5 + 177*j\/5 = 0.\nAnswer: -1, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-114))\/(3248\/(-7714))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -28*i + 21. What is the smallest common multiple of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5055703 is divided by 5055602.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10292297 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -39. Suppose l*h - 802 = -62. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81660, 81661, 81662, 81663?\nAnswer: 81664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let i = 25 - 7. Suppose 0*q + i = -6*q. Is q at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w + 29. Calculate y(-22).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27578 - 0?\nAnswer: 27578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*((-12)\/(-40))\/((-15)\/20). Solve -u = -t*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + (-2 + 6 - -1) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6426 = 24*h - 3*h. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/((-5 - -7)*1\/3). Determine q so that -401 - s - q**2 - 130 + 96*q - 3*q**2 = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 19483*n\/2 - 596092.\nAnswer: (n - 61)*(n + 19544)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4*(-9)\/54)*(-1 - -37)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 263 = -4*t, -3*n + 275 + 500 = 5*t. Let d(q) = -54*q**2 - 598*q - 29. Let p be d(-11). Calculate the greatest common divisor of n and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*k = -23*k + 27394233. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 855 - 1641. Let x be 1\/6*-10*51. Let c = x - q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k - 74*k = -1980 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66, -290, -678, -1242, -1994, -2946?\n\"Answer: -2*n**3 - 70*n**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-1 + sqrt(143) - sqrt(143))*2)\/(sqrt(44)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 812 and 696.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-9009)\/(-21))*(-4)\/2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 3*a**2 + 5*a**2 + a**2 + 0*a**2 - 2*a**2 + (-3 + 2*a + 3)*(-3*a + a + a) + (0*a - 2*a - a)*(-1 + 1 - a) + 3*a**2 + 5*a**2 - 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10782, -21560, -32338, -43116, -53894?\nAnswer: -64672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x + 20. Let k be z(17). Let r = 25 - k. Let p(h) = 2*h**3 + 13*h**2 - 6*h + 17. What is the lowest common multiple of r and p(-7)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69388 + 0.2\nAnswer: 69388.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3 + 13600*y**2 - 2727662*y + 2714060 = 0.\nAnswer: -6995, 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.447 rounded to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -230 (b) 4 (c) -1 (d) 44 (e) -5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 - 2a009?\nAnswer: -29fc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2. Let z(g) = 82*g - 1. Determine a(z(i)).\nAnswer: -26896*i**2 + 656*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/326228 and -17\/2548.\nAnswer: 29686748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.356 + 0.38. Let d = -5991.38599958 - -5991.41. Let j = d - w. Round j to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -26. Let r = 56 - t. Let f(x) be the second derivative of x**5\/20 + 3*x**4\/4 + 4*x**3\/3 + x**2\/2 - 43*x. Give f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16810, -33576, -50342, -67108, -83874, -100640?\nAnswer: -117406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2555, -2557, -2559, -2561, -2563, -2565?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*sqrt(162) - ((sqrt(18) - sqrt(288)) + -4 - sqrt(288)*6).\nAnswer: 8 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 34, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -562168*z**2 - z. Let d(v) = v. Determine c(d(s)).\nAnswer: -562168*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 911.5505 weeks?\nAnswer: 9188429.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2008, -5, -1 in increasing order.\nAnswer: -2008, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44672 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/((-8 - -6)*1). Let y(c) = -c**2 + 2*c + 7. What is y(o)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1128 and 6\/2 + (-24 - -10 - (-982)\/120)?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*s - 5 = -x, 0 = -2*s + 8. Solve -3*a - 2*l = -4*l + x, 4*a + l = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2320 (base 4) to base 5\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, -784?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28838442 to the nearest integer?\nAnswer: 5370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17320 is divided by 863.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 3 = 0. Suppose 4*p = -5*u + 36, 4*p - 2*u = 38 - 2. Calculate the greatest common divisor of m and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5099769956 to the nearest integer?\nAnswer: 71413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -285*s**2 - 1459*s + 102. Calculate n(-5).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30304642 divided by -15107\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-9)\/2))\/((-51)\/((-20655)\/180))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -162222 greater than -162222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 86568599362 and -4.\nAnswer: 86568599358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 62 = 4*h + 8 + 46, -4*k - 70 + 354 = -10*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.014 (b) -426 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + 4)*6.\nAnswer: 6*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23120 + -23803. Put j, -1, -5, 2 in decreasing order.\nAnswer: 2, -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45909337 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)*y*y\/((y\/y**6)\/y))\/(y**5\/y**1)*((y\/y**1)\/((y\/(y\/(y*y**6)*y))\/y))**(5\/11) assuming y is positive.\nAnswer: y**(71\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j**2. Suppose 2*u = p + p - 6, 5*p - 29 = -2*u. Let a(t) = -2*t - p*t + 2*t + 4*t. Calculate a(i(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -31124*i**4 + 4232856*i**3 - 24524624*i**2 + 32362656*i + 8320 = 0.\nAnswer: -2\/7781, 2, 4, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*m + 9 = -31, -4*k + 5*m - 36 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12360563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*o = 563, 18*o = 3*n + 23*o - 557. Let t = n - 185. Find y such that -18\/5*y**3 + 9\/5*y + 3\/5*y**t + 3\/5 + 9\/5*y**5 - 6\/5*y**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754426 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-11) - (-546)\/143. Suppose -2*r + 5*r - 25 = 5*q, -r = -s*q - 13. Suppose -2*z + 5*b = -0*z - 131, 377 = r*z + 4*b. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - 3. Let i = n + -112. Let u = 5 - 0. What is the greatest common divisor of i and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 89*u**7\/210 + u**4\/24 - 13*u**3\/6 + 140*u**2. What is the second derivative of c(a) wrt a?\nAnswer: 1068*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 255\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 2) + 13 - 2. What is the greatest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (39 - 29) - (-15)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -0.07, -0.31204 in descending order.\nAnswer: 87, -0.07, -0.31204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duu when three letters picked without replacement from dddduddu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let c = -0.35 - 14.65. Let a = c - -15. What is the third biggest value in z, a, 2\/21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4108 (base 15) in base 11?\nAnswer: -a355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 267.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*k - 4*t - 12, k + 27*t - 68*t = -43*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 8*z**5\/5 + 81*z**4 + 170*z**3\/3 - 300*z**2 - 3346*z + 2. Determine u so that w(u) = 0.\nAnswer: -30, -1, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 284, 648, 1094, 1628, 2256, 2984, 3818, 4764?\n\"Answer: p**3 + 35*p**2 + 252*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-252)\/24 + (-2)\/4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*c - 10 = 0, 5*v + 2*c = -c + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03298 times 0.02?\nAnswer: -0.0006596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smhhmmhcsmsmmm. What is prob of picking 3 m?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 3. Let c = -460 + 480. Suppose -3*m - 20 = a, -5*a + 6*m = 5*m + c. What is the nearest to i in -1.2, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -181\nAnswer: -150\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z - 55*z - 3*d = -46, 5*z + 4*d - 48 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1084*i**3 - 28*i. Let j(s) = -197*s**3 - 5*s. What is 28*j(d) - 5*q(d)?\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9970164 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9313 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054286.13 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 432 - 259. Let h = -347\/2 + t. Sort h, 1\/5, -0.32 in decreasing order.\nAnswer: 1\/5, -0.32, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 19*u + 67. Suppose -2*p + 2*j = 6, 5*p = 3*j - 0 - 17. Let d(x) = 2*x**2 - 20*x + 68. Let r(v) = p*o(v) + 5*d(v). Factor r(l).\nAnswer: 2*(l - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5712890 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133446514.00000044 + -133446509. Let i = -6 + 11. Let o = d - i. Round o to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 289863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020210221202 - -10222?\nAnswer: 22020211002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -22*f + 1610. Which is smaller: 117 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o + 4 = -3*k, 3*k = -15. What is the remainder when 250 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 + 11. Which is the nearest to -3? (a) -5 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 619*x - 612*x - 35. Solve -h = -3*y - 3 + 4, -16 = x*h - 4*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - -1790. Is 47 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 - 2*w**3 + 3*w**2)*(126*w + 165*w - 90*w) - w**4 + w**4 - 2*w**4 to the form h*w + n*w**2 + v*w**4 + x + o*w**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81401 - 2*v**2 - 81401.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(2\/5)*y)*y*y*y)\/y**(2\/19))**(-43)*((y**(-1\/8)*y)\/(y\/(y**(-4)*y)))\/(y*y**(-4\/5)\/y*y**4) assuming y is positive.\nAnswer: y**(-17267\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 43 = 5*n. Suppose -55*q - 4*z = -56*q + 10, -3*z = 0. What is the second derivative of -31*h**2 + 0*h + n*h - 10*h**2 + q*h wrt h?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5405 + 5409. Solve r*j = 5*z, 12*j - 7*j = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3311, 11159, 19029, 26933, 34883, 42891, 50969?\n\"Answer: 2*w**3 - w**2 + 7837*w - 4527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4109732 and 59\/17732?\nAnswer: 53426516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let i(x) = 6*x. Suppose -5*g + 17 = -4*w - 3, 3*g + 15 = -3*w. What is w*y(s) + i(s)?\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.7983.\nAnswer: 2.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(40)\/(sqrt(8) - sqrt(288)*-1).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2. Let b(r) be the third derivative of 3*r**5\/4 + 33*r**2. Give q(b(l)).\nAnswer: -4050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 873.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75146806, 75146807, 75146808, 75146809, 75146810, 75146811?\n\"Answer: c + 75146805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 11008*f**2 - 434736*f - 2212992 = 0. Calculate f.\nAnswer: -2712, -34, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 977648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 423478 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -90*f**6 - 125*f**2 + 12*f + 4. Let p(w) = 270*w**6 + 374*w**2 - 34*w - 11. Let i(d) = -17*l(d) - 6*p(d). Find the third derivative of i(b) wrt b.\nAnswer: -10800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 3022976?\nAnswer: 3022976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, 5 in decreasing order.\nAnswer: 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -133211112310?\nAnswer: 133211112310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 226978.77 minutes?\nAnswer: 3782.9795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3\/3 - 3*x**2\/2 + 4*x - 1. Let m be n(-3). Let h = -4.36 - -4.16. What is the third smallest value in -3, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157726 - 19969 = -7*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*n - 492*c*i - 5*c*n**2 + 1419*i*n - 2*n**2 wrt c.\nAnswer: 4*c*n - 492*i - 5*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u. What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from rzrzrrrr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 722\/5 - 10113\/70. Which is the nearest to -1\/3? (a) 5 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13083.93 days in nanoseconds?\nAnswer: 1130451552000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + (2 - 4))\/1. Let d = 4 + m. Let w = 70 + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1))\/m)**38)**(-3\/26)\/((m\/m**(2\/9))**(-22))**16 assuming m is positive.\nAnswer: m**(31519\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -14*k + 356. Let d = 96 - k. Solve b = d - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/3)*z)\/z*z*z)\/(z\/(z*z*z*z\/(z\/(z\/z**(2\/29)))*z)) assuming z is positive.\nAnswer: z**(661\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4 = -0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 80164074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.1738 rounded to one dp?\nAnswer: -73.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-80) - (-3)\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 17*d**2 - 8416*d - 5628. Let j(o) = 36*o**2 - 16827*o - 11256. Let v(l) = 4*j(l) - 9*q(l). Suppose v(a) = 0. Calculate a.\nAnswer: -2\/3, 938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -103. Which is the nearest to j? (a) -1\/5 (b) -1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/2)\/(6\/(-4)). Let g = t + 4. What is the third derivative of 3*d**2 - 2*d**3 - 2*d**g - 4*d**2 wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let l be (-123)\/18 + 4\/(-24). What is the smallest common multiple of 0 + l\/((-7)\/22) and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010000010001010111 (base 2) to base 15\nAnswer: -ba15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.06 - 51. Let h = s + 0.93946. What is h rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -276.89. What is the smallest value in -6.1, -5, i?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/63603 and 18\/77737.\nAnswer: 699633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2023203 divided by -12.\nAnswer: 674401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.9 and 27205.\nAnswer: 27200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 538*h - 214956. Determine n(399).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 + 191. Factor -n*t**2 + 19*t**2 + 3*t + t.\nAnswer: -2*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -19*w**2 + 9*w + 5. Let r = -1373 + 1370. Let t(q) = -10*q**2 + 5*q + 3. Calculate r*l(k) + 5*t(k).\nAnswer: 7*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 43*j + 41*j + 5*j + 3*j + 36 - 2*j.\nAnswer: 8*j + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.16. Let f = d - -1.26. Which is the second smallest value? (a) f (b) -1\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066552099 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6664112931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + 1\/2*k**3 + 1\/3*k**4 + 0 + k**2. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 528, 3, 8\/11, 1\/10 in ascending order.\nAnswer: 1\/10, 8\/11, 3, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530555 is divided by 1470.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011111100 (base 2) to base 13.\nAnswer: -25a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30068.8 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 + -3 - (-2 + 0). Suppose -3*h + d + 152 = -59, 2*h - q*d = 142. What is the remainder when h is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 1732 = -4*p, 0 = 4*h - p - 1735. Suppose -5*r - 69 = -h. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218647*l - 1218647*l + 11 - 3 - 7 - 14*l**2.\nAnswer: -14*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0122884733 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 350370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11718 and 350486?\nAnswer: 66241854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r)**(2\/5)*r*r\/r**(1\/4)*r*r*r**(-4) assuming r is positive.\nAnswer: r**(11\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56539 (b) 1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/4 + 5917*z\/4 + 1183\/2.\nAnswer: (z + 1183)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 332. Let y be l(0). Suppose 4*g - 464 = -4*j, 2*j - 5*g = -j + y. List the prime factors of j.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 133*a**2 - 6*a - 9. Let i(w) = -132*w**2 + 4*w + 7. Let h(c) = 3*i(c) + 2*j(c). Let p(u) = u. Calculate h(p(y)).\nAnswer: -130*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13796.\nAnswer: 2, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*m - 184, 5*y - 3*m - 436 = -0*m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151770*w**4 - 654356*w**2 wrt w.\nAnswer: -3642480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 2, -0.4, -2\/11, -0.5 in ascending order.\nAnswer: -0.5, -0.4, -2\/11, -0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9518 is divided by 4748.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4444 is divided by 316.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 2, t: 1, h: 4, v: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14311 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 1535231.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -57001*m + 1. Suppose 5*v = 5, -2*v + 3 + 5 = 2*f. Suppose -1 = -f*j + 2. Let n be x(j). What is n rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 55. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*h + 36, 4*h = -p + 7*h - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7944 - -7959. Solve 0 = 53*r - 38*r + f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - 11 - -26) + -13 + -10\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 979572 by 4.\nAnswer: 244893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21001 + -1210211020?\nAnswer: -1210120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 36*v**2 - 3*v**2)*(15*v - 46 + 46).\nAnswer: 510*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/7 - 12720*w**4\/7 + 20173786*w**3\/7 + 162447700*w**2\/7 - 385365888*w\/7 + 202757120\/7 = 0.\nAnswer: -10, 1, 3184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 2*w)*(-4 + 2 + 0)*(0*w - 6*w - 5*w + 2).\nAnswer: 44*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.12943 from -12030.\nAnswer: -12031.12943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 4*c**2 - 7*c + 7*c to z + w*c**2 + l*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0674, -452, -0.04?\nAnswer: 0.0674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*z**4 - 42*z**4 - 30*z**4 + z + 4 wrt z?\nAnswer: 492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:28 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 i, and 1 v when four letters picked without replacement from exegiiixeveeveiv.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457354 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -53\/17. What is the closest to -1 in 1\/4, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 27*w. Let n(v) be the first derivative of -2*v**3\/3 + 12. Calculate n(r(f)).\nAnswer: -1458*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 4*f + 1. Suppose -2*n = 0, 0*j - n + 4 = -j. Give y(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-30)*((-2004)\/(-1485) - (-336)\/(-240))\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/20*(-8)\/27. Is x >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -48, -65, -78, -87?\n\"Answer: 2*v**2 - 27*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 322627931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 3*x - 96, 6*s + 2*x + 1034355 = 1034527 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 4*q + 5, 0 = 4*y + 60*q - 56*q - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 7\/(35\/(-10)). Let g be (-2 - 49976\/p)*2688. What is g rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/45)\/((-6)\/(-27)). Factor 0 - 1\/5*d + 1\/5*d**c + 1\/5*d**3 - 1\/5*d**4.\nAnswer: -d*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 + 17*x + 2*x**4 - 18*x - 4*x**3 to the form q*x**3 + o + t*x**2 + c*x + z*x**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065966595 rounded to seven decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 911.6 - 912. Which is the third smallest value? (a) -0.3 (b) -5 (c) -0.02 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 divided by 158374?\nAnswer: -395\/158374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 2473429?\nAnswer: 2473428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**3 - 14*h**2 - 9*h + 67. Let o(d) = 2*d**3 - 5*d**2 - 3*d + 25. Let l(g) = 3*i(g) - 8*o(g). Give l(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148*x**3 - 143 + 18*x**2 - 18*x**2 wrt x?\nAnswer: 444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 116, -5, 10 in descending order.\nAnswer: 116, 10, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9319*t + 13 + 18630*t - 2*t**2 - 9416*t + 0*t**2 to j*t**2 + u*t + s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 0\/(5 + -2). Let h be m\/2 - (-3)\/6. Let n be -4 + 3 - -1*1. Solve -2*q + h + 5 = n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - 2058128?\nAnswer: -2058223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/10 + (-5)\/25. Suppose 0 = 4*b - 5 - l. Solve -b*p - 4 = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 56*s**4 + 4*s**2 + 56. Let h(g) = 58*g**4 + 5*g**2 + 57. Let l(z) = 4*h(z) - 5*j(z). Find the first derivative of l(d) wrt d.\nAnswer: -192*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/(-81)*399\/14 and -17\/411?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1620*o + 1. Let w(a) = 8*a. What is u(w(v))?\nAnswer: 12960*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 123*z**2 + 12299*z\/2 + 17355.\nAnswer: (z + 3)*(z + 65)*(z + 178)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccyyyey. Give prob of sequence ycye.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 29 = 5*i - 13, i = 2*t - 15. Let j = 3 - 1. Calculate the remainder when t is divided by (-3 + j)*-1 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 447 - 446. What is the nearest to d in -2, -5, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1843 - -528. Let q = f - -1315. What is o in q + 2\/9*o**4 - 2\/9*o**3 - 10\/9*o**2 - 2\/3*o = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3987 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.57 + -115.37. Let n = a + -9. What is n rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7904132 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 59*w**2 - 92*w + 1686. What is the lowest common multiple of 20 and j(-57)?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2. Let q(y) = y + 5. Give 11*o(d) + 4*q(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -207694.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52641212 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pcffspaapxff.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 250040*n**3 + 3908250148*n**2 + 23442750240*n + 35160750144 = 0.\nAnswer: -31252, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 6, -125, -0.1, 17\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193296 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(88)*3 - sqrt(88))\/(sqrt(512)*-2) + ((3*sqrt(165))\/sqrt(3))\/(sqrt(40)\/sqrt(72)))*5.\nAnswer: 85*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 2*m**2 + 2*m**3 - 2*m + 3*m**2 + m**3 to g*m**2 + v*m**3 + x + d*m and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9*f = 14*f - 44, -3*o + 5*f - 71 = 0. Let y be 4\/60 + o\/(-45). What is the smallest value in y, -1, 3, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.14. Let q = z - -1.04. Which is the closest to q? (a) 4 (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3030 - 3?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -202.8471\nAnswer: -176.8471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1\/3, 2\/3, 3\/7, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/170 and -30\/7327.\nAnswer: 73270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (-116 - -106)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*u + 116*u + 45 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -474 (base 14) to base 8.\nAnswer: -1566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 24*v**2 + 74*v + 682. Calculate p(-22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 1065 = -376. Let b = 221\/4 + f. Factor 27\/8 + b*h + 3\/8*h**2.\nAnswer: 3*(h + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9440 - 9*i - 61*i + 4721 + 4715 + (-4 - 2 + 3)*(7*i + 0*i - i) in the form b*i + k and give b.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-120 - (5 + -79))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/5)\/t)**7\/(((t\/t**5)\/t*t)\/((t*t**4\/t)\/t)))**(3\/4))**(-41) assuming t is positive.\nAnswer: t**(-861\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 16) in base 11?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -7, -5 in descending order.\nAnswer: 3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2399*m - 108 - 528 - 676 = 2481*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. Let m be k(-7). Let p = 3 - m. What is the tens digit of 14 + 3\/(p\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = -73. Let d = -7 - 7. What is the least common multiple of j and 2\/7 - 108\/d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1193 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -121205265?\nAnswer: -121205263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:38 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 1. Let r be a(2). Let z be r\/4 - 1\/(-4). Suppose z*i - 69 = -4*g + 13, g - 45 = -3*i. What is the remainder when 39 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24892)\/(-10668)*72\/70?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**3\/6 + 7*a**2\/2 - 4*a. Let v be (-128)\/(-22) - 4\/(-22). Is h(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -321729 or -321840?\nAnswer: -321729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -136. Suppose -m - 5*b = -0*b, 5*m - k = 5*b. Solve -4*a = -4*v + 28, -4 - 1 = 3*a + m*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Let i = -163 + 89. Let w = 739\/10 + i. Put l, 3\/4, w in increasing order.\nAnswer: w, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -19, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*-4*1. Let q be 5 + ((-6)\/(-2) - (-96)\/(-24)). Let r be 3 - (4 - (8 + q)). Solve 3*a + c*u - r = u, -a + 7 = -3*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8101, 7531, 6961, 6391?\nAnswer: 5821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-k - 111 + 111)*(7 + 1 - 2)*(-3*k - 2*k + 2*k).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 28586623?\nAnswer: 28586623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 457*n + 16693. Calculate v(-32).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 + 5. Let w(d) = -17*d**2 - 14. Let a(b) = 8*h(b) + 3*w(b). Differentiate a(o) with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 5. Let n be (-1)\/(2\/(-2*1)). Let x(t) = n + 0 + 0. Let w(a) = h(a) - 6*x(a). Factor w(v).\nAnswer: (v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/(12\/3))\/(6233\/24932).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-14.5.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 3. Let z be a(-7). Suppose 3 + 5 = z*h. Suppose -256 = -h*v - 80. What is the highest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.46, -5, 3, -0.4 in decreasing order.\nAnswer: 3, 0.46, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1297 - -81. Does 61 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**4 + 4*s**2 + 3. Let q(n) = -6*n**4 - 11*n**2 - 8. Let v(f) = -11*o(f) - 4*q(f). What is the first derivative of v(t) wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -151 - (55 + -74 + -72)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5321649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -447571100 to the nearest 1000000.\nAnswer: -448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 911696873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 12. Let s be l(0). Suppose 5*r + 305 = 3*o, -5*o + 276 = -3*r - 259. Let a = 146 - o. What is the greatest common factor of a and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1089687, 1089543, 1089399, 1089255, 1089111?\n\"Answer: -144*k + 1089831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 10. Let t(m) = -m. Let c(k) = q(k) - 2*t(k). What is the units digit of c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - -100) + (37 - -33)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -79 (c) 4 (d) 14 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 2, s: 4}. What is prob of sequence st?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, m: 1, b: 2, o: 1, u: 2, x: 2}. Give prob of sequence juju.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10001101101001011?\nAnswer: -10001101101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2016214*-5.\nAnswer: -1.008107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/13))**(-3\/14)\/(m**0\/m**10) assuming m is positive.\nAnswer: m**(1775\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = a + 134, 8*x - 12*x = -2*a - 112. Suppose -x*j + 915 = -1035. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 194 = -2*o - 2*m, -4*o + 188 = 4*m. Let i = o + -52. Is i > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -82, -48, 22, 140, 318?\n\"Answer: 2*c**3 - 4*c - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 8*p + 15. Let x(y) be the second derivative of 0*y**4 + 3\/20*y**p + 0*y**3 - 1\/10*y**6 + 0 + 0*y**2 - 2*y. Factor x(s).\nAnswer: -3*s**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 3, 0, 10 in descending order.\nAnswer: 10, 3, 0, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 7239 - 6621 = 143*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/21 - 404*u\/21 - 58\/3 = 0.\nAnswer: -1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20444\/(-12105) + 4\/30?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*s**4 + 2*s**3 - 4*s**2 + 2*s**2 - 2 - 4*s**2 + 4*s**2 - 120*s**4 as v*s**3 + j*s**4 + m + o*s + l*s**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3*a + 3*a)*(0*a**2 - 3*a**2 + a**2) - 6*a - a**3 + a**2 - a**3 + 8*a.\nAnswer: -6*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkpgkvdvkgpv. What is prob of sequence mv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25056 + 10513 - 14280)*(5*z - 2*z**3 - 5*z) in the form m + y*z**3 + f*z + s*z**2 and give y.\nAnswer: 57646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*q**3 - a**3*q**2 - a**3*q - 10*a**2*p - 3*a*q**4 + 2*p**2*q**4 - p**2*q wrt q.\nAnswer: 18*a**3 - 72*a*q + 48*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1151, 2304, 3447, 4574, 5679, 6756, 7799?\n\"Answer: -o**3 + o**2 + 1157*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 8*s - 9. Let p be o(9). Solve -4*i + 7 = -5*c - 6, p = 2*i - 4*c - 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101100 (base 2) in base 12?\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10))\/(2 - (-16)\/(-10)). Sort q, 4, 1, -3 in decreasing order.\nAnswer: 4, 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + 600. Suppose 0 = -4*g + 4*u + 4, -25 = -5*g - 4*u + 5*u. Suppose 5 = g*l - j. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3)**(1\/45)*k\/k**(-1)*k\/k**(2\/15))**22 assuming k is positive.\nAnswer: k**(968\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*k + 11 = 2, 3*k = 4*d + 7. Let q be d\/2*8\/1. Let h = 1.998 - 2.198. What is the third biggest value in q, h, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -113696, 1.03 in ascending order.\nAnswer: -113696, -0.3, 1.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3 - 30*a**2 - 2928 wrt a?\nAnswer: 6*a**2 - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -1. Let o = 3.91 + 0.09. Let l = -4 + o. What is the closest to l in 5, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567387*d + 1567272*d - 12*d**2 + 3*d**3 + 2*d**2 + 10*d**2.\nAnswer: 3*d**3 - 115*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022671577 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 - 2*s + 1. Let p = 1 + 3. Let d be r(p). Let x = d + 9. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*d - d - 3, -2 = -2*d - 2*l. Let y = 4 - d. Let n(v) = -5*v + 0*v - 2*v + 5*v. Give n(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10008, 39969, 89904, 159813, 249696, 359553, 489384?\nAnswer: 639189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 7*p**2 - 260*p = 0. What is p?\nAnswer: -20, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 30 = 15*q. What is the lowest common multiple of 6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) 2\/577 (c) 0.1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14572 - -33329. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-4 - -1)) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 28*n**2 - 9*n. Let j(h) = -h**2 + 2*h - 1. Let q(a) = i(a) + 3*j(a). Is q(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10092 at least -10244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 8. Let z be (3072\/(-615) - -5) + (-6)\/21. Let s = 1\/205 - z. Put s, 2, l in ascending order.\nAnswer: l, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnolfttooot. Give prob of picking 1 o and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 34. Suppose -5*x = 3*w - 42, -3*x + 30 = -3*w + 72. What is y(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -3022?\nAnswer: -3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2654.688883 to 1 dp.\nAnswer: 2654.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/738735 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43562 bigger than 43542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**4\/3 + 2435*p**3\/3 - 295240*p**2\/3 - 297680*p\/3 = 0?\nAnswer: -1, 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t + 4. Let k(b) = -2*b - 17. Let p be k(-8). Let a = -4 - p. Let h be d(a). Solve 9 = -h*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05438 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4977422 and 0.4068.\nAnswer: -4977421.5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 5723437494*q**2 + 5723437494*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -9*f**5\/20 - 7*f**4\/12 + 8*f**2. Find the second derivative of v(y) wrt y.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 6:19 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:35 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 + 22. Let a = -2 + -5. Let p(f) = 5*f**2 + 11. Let b(v) = a*p(v) + 3*o(v). Differentiate b(z) with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/9*(-549)\/10126?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -63.02, 2\/3, -17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -58*l + 133. Let j be u(-26). Suppose -10*v + 6139 = -j. What are the prime factors of v?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3 and -59\/3272.\nAnswer: 9816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-78)\/(-108))\/(-13)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {b: 1, w: 2, g: 5, k: 2, r: 5, h: 1}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271 is divided by 757.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -381 - -401. Suppose 13 = i*d - 27. Solve 3*b + k + 0 = 11, d*b - 2*k = 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 15 in increasing order.\nAnswer: -8, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {y: 3, z: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -22*h**3\/3 - 67*h**2\/2 + 82*h + 9. Let a(z) = 15*z**2 + 45*z - 55. Let w(p) = 7*a(p) + 5*b(p). Find d, given that w(d) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/12 + 3*h**2 + 5. Let p(u) be the second derivative of g(u). Let f(k) = 1 - 1 - 1603*k**2 + 1611*k**2. What is f(p(m))?\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/2)*6\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 - 24*u - 222 - 514*u.\nAnswer: -538*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.555723 to 2 dps.\nAnswer: 10.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6\/7))\/(h**(-6\/5)\/h)*((h*h**(-14\/9))\/h)**38)**(26\/9) assuming h is positive.\nAnswer: h**(-464932\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395617 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = u - 1, u - t = -7. Do u and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 15 = 3*t, 2*j + 3*t - 28 = -43 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - t - 13, 0 = 5*r + 2*t - 90 + 77 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1028 and 0.4?\nAnswer: 0.2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -35 - 2*g - 4*g - 6*g + 5*g. Calculate the remainder when 81 is divided by m(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113530933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*(2 + 49). What are the prime factors of o + 1 - 1 - -4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -24\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x**2 - 4*x**4 - 73*x - 20*x**3 + 34*x + 26*x - 18*x**2 + 22*x as o*x + i*x**2 + m*x**3 + u*x**4 + g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 127680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 9. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872678464 to the power of 1\/2, to the nearest integer?\nAnswer: 62231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 284698, 282430, 280162, 277894, 275626, 273358?\n\"Answer: -2268*t + 286966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3511 + 3511.000006196. What is v rounded to 7 decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30951 + 185705\/6. Which is the fourth smallest value? (a) -3 (b) 5 (c) -1\/5 (d) -2\/9 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(3656\/216 + -17). Let f(m) = 29*m**3 - 2*m**2 + 2. Let p(l) = -115*l**3 + 9*l**2 - 9. Give n*f(c) + 2*p(c).\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 - -9. Let n(c) = -3 - h*c - 2 + 132*c. List the prime factors of n(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -377*u**3 + 2972*u**2 - 3408973 wrt u?\nAnswer: -1131*u**2 + 5944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:04 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hemz when four letters picked without replacement from zhmmzcebmemme.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78.2 + -78. Let t = 20 + -17.8. Let w = t + 0.8. Put w, -2, c in increasing order.\nAnswer: -2, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2 less than -0.114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xggg when four letters picked without replacement from ggxxgx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-92)\/8 - -10)*(-3)\/(-9). What is the fourth smallest value in 5, x, -1, 3\/2, -0.35?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-3\/34)\/i)*(i*i**33)\/i*i assuming i is positive.\nAnswer: i**(1227\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 388564 and 641289150.\nAnswer: 641677714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - 3) + 0 + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 1. Let x(w) = 8*w + 30. Let z(u) = -3*u - 10. Let m(t) = y*z(t) + 4*x(t). Let i be m(7). Solve 5*h - 7 = i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 81886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6.4. Let i = 43.6 - 43. What is the smallest value in i, c, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 134606.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 - 2*y + 3. Calculate u(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1045 by -19.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*n - 2*n. Let b be (-4 + 10)*(n - 0). Suppose -b*a = -63 + 9. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1528860 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.949547 - 0.070853. Let y = 30 + m. Round y to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575739601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**0))**10*u**(4\/3)\/((u*u**5)\/u))**(-14\/15) assuming u is positive.\nAnswer: u**(154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*-8791.\nAnswer: -1230.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.03, 40, 1, 2\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 + 4. Let x(y) be the first derivative of -7*y**3\/3 + 5*y + 1. Suppose 69 = -16*h + 6*h + 19. Give h*v(z) + 4*x(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8.6912733*-2\nAnswer: -17.3825466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 14. Suppose -d*z + 135 = -5*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooojoojccoojco. Give prob of sequence cj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/(p\/(p**(-6)*p)*p*p))\/p*p)*p\/(p\/p**(-2\/7)*p)*(p**(-1\/2))**(-25\/6) assuming p is positive.\nAnswer: p**(739\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 0 = 2*d, 2*d = g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -16. Suppose -t - 6 - 1 = -4*u, r*t - 23 = -u. Find the first derivative of l + 4*l + u - 3*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2. Suppose -5*v = -4*b - 42, 3*b + 33 = 2*v + 2*v. Suppose -5*w + 7*w - 52 = 0. Let q(n) = -w*n + v*n - 6*n. Calculate h(q(p)).\nAnswer: 2028*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 57*u. Let m(s) be the third derivative of 13*s**4\/12 + 1670*s**2. Determine j(m(p)).\nAnswer: 1482*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42790 is divided by 14054.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -32, 0.2, -20, 3\/4, -1\/6, -1\/2, 307?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1262, 10241, 34652, 82211, 160634, 277637?\nAnswer: 440936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r + 2*r - 6*r + (3 - 3 - r)*(-2 + 2 + 2).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/178 or 3?\nAnswer: 87\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 9*d**2 + d - 11. Let a be t(9). Suppose 4*m - 2 = 6. Let q = a + m. Solve q = -g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from wwhwhhhwwwhwwmhhh?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 5*w**2 - 3*w + 13. Let d be r(-3). Let a be (-2)\/1*(-2 + (5 - d)). Solve -12*q + 10*q = -a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 5. Suppose -4*g = -8*g + 12. Let m = g - -1. Suppose -3*h + 3*l = -13 + 1, -3*h = m*l - 19. Calculate s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 4. Let c be f(-2). What is the nearest to -0.1 in -3, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 7. Let q be i(3). Let f(b) = -5 + b - 2*b**2 - 5*b + 1. Let n(z) = 3*z - 1 + 2*z - 6*z. Give q*n(t) - f(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 3 (b) 4 (c) 0.3 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000083827 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 + a - 10. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*f - 24. Suppose 2*b - 3*b + 140 = 3*u, 5*u = -3*b + 240. Let i = u + -45. Solve f + i = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413.335 - 414. What is x rounded to 2 dps?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**6 - 2*j**4*x + 3005429*j**3*x - j**2*x - 4*j**2 + 1088*j*x + j + x - 23 wrt j?\nAnswer: 600*j**3 - 48*j*x + 18032574*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -16.5.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 3*w**3)*((3*w - w - w)*(3*w + 2*w - 4*w) - 4*w**2 + 4*w - 4*w + (5 + 0 + 3)*(-3 + 3 - w**2)).\nAnswer: 33*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 + 6*k - 6. Suppose 2*l + 30 = 3*g, -5*g + 429*l + 60 = 424*l. Let b(o) = o**2 + o - 1. Calculate g*b(f) - h(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21992749 divided by -4.\nAnswer: 21992749\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3615 and 798?\nAnswer: 961590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*a + 7, -4*a + 73 - 61 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 163*j - 81. Let g(x) = x**2 + 82*x + 45. Let c(z) = 18*g(z) + 10*w(z). Let u(k) = k**2. Determine c(u(l)).\nAnswer: -2*l**4 - 154*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + s)*((1 - 4 + 1)*(0 - 6 + 4) + (-1 + 2 - 2)*(-2 + 1 + 0) - 1 - 1 + 4)*(-3 + 1 + 3)*(3 + 0 + 0).\nAnswer: -63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4231.9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/96 and 77\/1002.\nAnswer: 16032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7141 - 6689. Calculate the highest common divisor of 1243 and t.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, v: 3, y: 2}. What is prob of sequence zvvz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 27. Let a(r) = -r**3 - 5*r**2 + r - 3. Let b = 4 - 10. Let m be a(b). Solve l = 5*f + 7 - m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 2311*c - 13945. Calculate l(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-1\/15)*v*v)*v)\/v)\/v**(-1\/12))\/((v**(1\/3)*v)\/v*v)**(-47) assuming v is positive.\nAnswer: v**(3709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330864?\nAnswer: 2, 3, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-105)*25*(-14)\/105. Let z = -0.1 + 0. Sort -0.11, l, z, 5.\nAnswer: l, -0.11, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbwrhrrhzbhww. Give prob of picking 2 h and 2 w.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -303130316 + 161016425. Let c = b - -60113899. Let w be (-2)\/(-5) - c\/20. What is w rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120210 + -30112?\nAnswer: -210322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -9. Let c(j) = -j**3 - 2*j**2 - 3*j - 4. Let l(w) = 258*w**2 + 7 + w**3 + 5*w + 225*w**2 - 479*w**2. Calculate k*l(y) - 5*c(y).\nAnswer: 2*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - 57464\/86229. Let m = 269143\/15678 - s. Calculate the common denominator of 55\/9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -3, -3\/13, -0.6, 0.2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/13191668 and -66\/3731.\nAnswer: 171491684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5697908 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 u when three letters picked without replacement from {b: 1, u: 4, i: 5, o: 6}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*l + 108 = 0, 12 + 8 = 5*l. Is 50 a factor of ((-1572)\/(-15))\/(n\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let h(v) = 4*v**2 - 2*v - 1. Let l be h(i). Let r = 205 + -203. Solve w - 4*x - 17 = 0, 2*x + r = w - l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/20 - h**4\/12 - h**3\/6 + 2*h**2 - 74*h. What is the remainder when 98 is divided by i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -0.1. Let c = 2.3 - d. Put -1, 1, c in descending order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-352) + (-514)\/(-16). Which is the second smallest value? (a) 0.4 (b) 1 (c) 0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**3\/51 + 15*d**2\/17 - 32*d\/17 - 57. Factor x(q).\nAnswer: 2*(q - 1)*(q + 16)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(1\/25)*(d\/(d**38\/d))\/d**(4\/9) assuming d is positive.\nAnswer: d**(-8191\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 3328?\nAnswer: -66.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 11 = -3*n, -n + 2*d = 4*d + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52003, -104058, -156111, -208162, -260211, -312258, -364303?\nAnswer: -416346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 164 + 138 = -2*u, -x + 3*u = 11. Calculate the remainder when 264 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3 + 50957*p**2 + 59458*p?\nAnswer: -18*p + 101914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 9.1828\nAnswer: 9.3828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -119. Suppose 4*r + 10184 = s*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1645 + 1821. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 148, 113, 54, -35, -160, -327?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 313 - 273 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (250 + -261 + (1 - (1 + -9 + 1))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*h + 3, 6*i = -h + 7*i - 7. What is the closest to 0 in 1, -38, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r)\/r)\/(r\/(r\/(r**(-2\/21)\/r))) assuming r is positive.\nAnswer: r**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59646545?\nAnswer: 5, 7, 1704187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -0.2, 2 in decreasing order.\nAnswer: 2, -0.2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21684, -43491, -65298, -87105?\n\"Answer: -21807*s + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 94, 97, 100, 103?\n\"Answer: 3*o + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -63. Which is bigger: 22 or x?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650487?\nAnswer: 3, 216829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1190 and 38338.\nAnswer: 22811110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*k - 34 = 0, 4*i + 0*k - 3*k = -27. Let m = i + 11. Suppose -m + 48 = 4*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = -8. Suppose 13*m = x*m + 12. Calculate the remainder when (1\/2)\/(1\/8) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186734276 - 11?\nAnswer: 186734265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 536882409 a multiple of 1179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 742\/34 - (487 + -316 + -150).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16*p**3 - 6*p**2 + 11*p - 21. Suppose -5*b + 3*a = 49, -b - 4*a + 931 = 950. Let n(c) = 3*c**3 + c**2 - 2*c + 4. What is b*n(y) - 2*j(y)?\nAnswer: -y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -3\/5, -3\/2, 1\/2, -1.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b = 2*o + 58*b + 14, 36 = -4*o + 3*b. Sort 9, 25, o in descending order.\nAnswer: 25, 9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 64 = 5*f - f, z - f = 20. Solve 0 = -4*x - 3*y + 6, 5*y + 6 = 5*x + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 2 + r - 2*r - 3*r. Let k be p(-3). Suppose -h + k = -2. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4\/5 - 529752*a**3\/5 + 3708404*a**2\/5 - 7416888*a\/5 + 847648 = 0. Calculate a.\nAnswer: -132445, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 3, 0.39, -0.02 in decreasing order.\nAnswer: 3, 0.39, 0.3, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 4832. Let y(m) = m**3 - 3220. Calculate 7*k(s) - 10*y(s).\nAnswer: 4*s**3 - 1624","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and (1 + -2)\/((-10)\/160*2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1006, -2, -5, 1 in ascending order.\nAnswer: -1006, -5, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (-4*(1*sqrt(684) - sqrt(684)) + sqrt(684))**2 + 3)*-4 + -1.\nAnswer: -10913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*f**2*w**2 - 2*f**2 - 387*w**2 with respect to f.\nAnswer: -670*f*w**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819702 divided by 34334?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2 - 2*i. Let a be v(6). Suppose 198 - a = 3*w. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4121, -8246, -12371, -16496, -20621?\nAnswer: -24746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*k + 195 = 0, 2*n = -k + 5*k + 78. Suppose 5*q + 90 = 3*o, -4*o + 107 = 2*q - n. What is the remainder when 101 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -257 + 337. Solve -3*b = -o*b - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6) - 24\/18. Suppose -9 = -3*m, 2*b - 2*m = 3*m - 23. Let j = l - b. Solve -f - 5*d = -3*f + 11, 0 = -j*f + 3*d + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.42 + -1.44. Let o = l + 0.62. Round o to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15788, 15787, 15786, 15785, 15784?\nAnswer: 15783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 9. Let o be j(4). Let n = 8 - 4. Let k = o - n. Solve 4*i = -k - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/69)*i)**(-3\/10) assuming i is positive.\nAnswer: i**(-67\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18412304 times 7?\nAnswer: -128886128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 + -282. Suppose 0 = 5*b - d + 11, b + d + 0 + 1 = 0. Let t be b\/1 + (4 - 2). Solve 0 = q - 4*w - 10 - 5, t = -4*q + 5*w + z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 5, g: 3, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1345.35 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 14 = 2*m, 0 = -3*s - 0 - 3. Is (-2 - m)\/6*290 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142\/31 + -3494\/465. Calculate the common denominator of -29\/12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 + 2*x**2 + 2*x. Let c(j) = -8*j**3 - 11*j + 1 - 6*j**3 - 11*j**2 - 11*j**3. Let d(y) = 2*c(y) + 11*h(y). What is the derivative of d(n) wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 6.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2057) + -1))**2.\nAnswer: -792*sqrt(17) + 74088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 37, 100, 197, 334?\n\"Answer: v**3 + 8*v**2 + 4*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b**2 + 9*b + 12. What is m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(30)\/sqrt(3))\/(sqrt(12)\/(sqrt(96) + sqrt(6))))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745*l**3 + 73000*l**2 - 74735*l + 990 = 0. Calculate l.\nAnswer: -99, 2\/149, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4495, -42791, -146741, -349171, -682907, -1180775?\nAnswer: -1875601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -158\/19, 1.2, 4 in ascending order.\nAnswer: -158\/19, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/5)\/((1\/2)\/(280\/(-224)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-98)\/(-343))\/2)\/(2*2\/(-28))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4257 = -232*i - 241*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3350 and 33\/670.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(-1\/3)\/(a**(1\/8)\/a**6))**(-4) assuming a is positive.\nAnswer: a**(-971\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 206 and 100070?\nAnswer: 99864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 63.4756 tonnes?\nAnswer: 63475.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 32. Let j = 11 + s. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((90\/75)\/3)\/((-3)\/((-15)\/(-203))). Suppose 2*z - 2*r = 7*z - 5, 3*r - 16 = z. Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (-88)\/20. What is the derivative of 4*x**3 - 14 - 2*x**3 - k*x**3 + 6 wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, h: 1, s: 3, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/18 + 1886\/6?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let h = m + -2. Let v = -552\/5 - -110. Which is the biggest value? (a) 5 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755*r**2 + 6245 - 6245 + r.\nAnswer: -755*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 6*n + 5. Let x be v(6). Suppose 9*z - 8 = 5*z. Solve -x*o + z*f - 11 = 0, 3*f - 18 + 4 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/4775?\nAnswer: -8\/4775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/16 and -73\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -0. Suppose -4*k - 2*j = -30, 2*j - 22 = 2*k - w*k. Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*j - 45 = 0, 3*i + 83 = -i + 5*j. Let c = -25 - i. Let q be (-1 - -1) + (-2)\/c. Which is bigger: -23 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909485882 to the power of 1\/3, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 285\/(-9)*(-3)\/522*-9 and -1\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + -23?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620768938?\nAnswer: 2, 53, 1811, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29*g - 34*g + 128*g - 30*g - 33*g. Let f(c) = -c + 69. What is f(v(r))?\nAnswer: -2*r + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z - 75. Let v be a(-12). Let s = v + -54. Solve -8 = w - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.866 - 0.066. What is m rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -56*k**2 + 8761*k - 8716. Determine w(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -144, 5, 0.5 in decreasing order.\nAnswer: 5, 0.5, 0, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72453 + -72452.5. Let t = 0 - 5. Which is the fourth smallest value? (a) k (b) 28 (c) t (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - -210. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4585 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -440*i*y**3 + 52546*i*y**2 + 57175974*i wrt y.\nAnswer: -1320*i*y**2 + 105092*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 2*c**2 - 3*c. Let b(s) = s**2 + s. Let f be 10\/9 - ((-4)\/9)\/(-4). Calculate f*b(j) + p(j).\nAnswer: -j**3 + 3*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) -4\/9 (c) -6 (d) 0.1 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*t - 4. Let q be (-1)\/(2*2\/(-8)). Suppose -m + v = 3, 8 = -q*m + 4*v - 6. Is m less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -6*x. Suppose 10 = 4*p - 5*t - 30, 4*p - 4*t = 36. Solve -s - 3 = q, p*q + 15 = x*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -17*t**6\/60 + 43*t**5\/60 - t**2 + 19*t. What is the third derivative of w(g) wrt g?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2502.\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 341, 740, 1141, 1544, 1949?\n\"Answer: k**2 + 396*k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 442 - 442. Which is the smallest value? (a) -2 (b) z (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 33. Suppose 3*p + 0 - 129 = k. Let c = p + 14. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 16*i**2 + 4*i**3 + 0*i**2.\nAnswer: 4*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - o - 61, 6 = -k + 2*o - 12. Let g = -10 - k. Suppose -2*r + 5*z = -g, -5*r + 0*r = 5*z - 25. Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 0.11 (c) 1\/8 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -29*s + 13*s + 6*s**2 + 11*s - 4 + 12*s - 7*s**2. Give t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60041 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 975*q - 210. What is the units digit of h(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (127\/(-8255))\/(1\/(-10))*-3\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7857)\/20 + 1)\/(1876\/10). Let c = g - -33\/938. Find the common denominator of c and -4\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k - 2. Let g be (-2)\/(-6) - (-76)\/(-12). Let u be r(g). Suppose -1 = b - u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4509, 4504, 4497, 4488, 4477?\nAnswer: 4464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + -1*sqrt(190))*-6 - (5*(sqrt(190)*-1 - sqrt(190)) + sqrt(190)))\/(5*sqrt(50)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 1539\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {c: 5, n: 1, y: 3, m: 3, r: 1, z: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w - 6. Give f(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 563318.6mg?\nAnswer: 563318600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahxhhyhh. Give prob of picking 1 y, 1 a, and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5\/2))\/(s*(s\/(s**(-2\/25)\/s))\/s*s))**(-4\/11) assuming s is positive.\nAnswer: s**(458\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -256\/15?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6*u**5 + 549*u**4 - 256671*u**3\/2 - 52182177*u**2\/4 - 12949020*u - 3229200 = 0.\nAnswer: -120, -1\/2, 299\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16306866.\nAnswer: 2, 3, 301979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/2, 0.09, -5\/3, -2\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4067 = -3*o - y, -o - 4079 = -4*o + 2*y. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74777518 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(108) + -3.\nAnswer: -12*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n + n**2 + 1353*n**3 + 1341*n**3 + 177 - 2693*n**3 as p + i*n**3 + g*n**2 + f*n and give p.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2035 and 157520.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1407373 and -1.47639.\nAnswer: 1407371.52361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70089.49 years to millennia.\nAnswer: 70.08949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**2 - 4*i + 30. Let g(z) = 5*z**2 + 4*z - 29. Let t(h) = -7*g(h) - 6*w(h). What is the remainder when 164 is divided by t(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9 - 6 - 13 + 2*q + 16. Let y be w(8). What is the smallest common multiple of 28\/y - (-2 - 0) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1038352*g**3 + 52*g**2 - 16*g**2 - 1038436*g**3 - 22*g**2 - 12*g**2.\nAnswer: -84*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = h + 3, -h = -5*n + 123. Calculate the greatest common factor of n and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 41. Calculate the common denominator of (-35)\/(5\/(20\/8)) and 7\/k + (-34)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111 + 2?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 31815?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, 2, -3, 3 in descending order.\nAnswer: 3, 2, -3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 35) + -34 + 68\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9*b - 69 = -8*b, -177 = -5*o - 2*b. What is the remainder when o is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-8) + -2)\/(1\/(-4)). Let t = -0.6 - 2.4. Let d = t - 0. Which is the nearest to q? (a) d (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 228*y + y.\nAnswer: 223*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*d**4\/23 + 7954*d**3\/23 + 140148*d**2\/23 + 834840*d\/23 + 1663632\/23.\nAnswer: 2*(d + 6)**3*(7*d + 3851)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -84?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.202 - 2?\nAnswer: -25.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8380*b**3 + 7958*b**3 - 16685*b**3.\nAnswer: -347*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/14)\/(((-61)\/(-61))\/((-21)\/18))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 167?\nAnswer: 19\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125, -1128, -1141, -1170, -1221, -1300, -1413?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c - -5c0d?\nAnswer: 5bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u. Let s(j) = 116*j**4 - 6*j**3 - 5*j**2 + 5*j. Let g(n) = s(n) - 4*z(n). What is the third derivative of g(o) wrt o?\nAnswer: 2784*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -17\/2. Let -1\/2*m**2 - m - i = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 301, 304, 307, 310, 313?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (12 + -3 - -2) - (0 - 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, y: 3, b: 4, w: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 4*r**4 + 0*r**4 + (-3*r**2 + r**2 + 3*r**2)*(3*r**2 - 7*r**2 + 21*r**2) + 4*r**4 - 3*r**4 - 2*r**4.\nAnswer: 19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 916 and 2.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40612 is divided by 81.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -q - 96. Calculate the remainder when 12 is divided by q\/(-22) + (-2)\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805, 3171, 7101, 12583, 19605, 28155?\nAnswer: 38221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(1\/68*16)\/(-18).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2743 or -52135\/19?\nAnswer: -2743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 105.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {s: 1, f: 5, u: 1, v: 3, o: 1, p: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -547.3 - -547. Which is the second biggest value? (a) 0.05 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/17)\/(v*v**(-2)))**(2\/29) assuming v is positive.\nAnswer: v**(42\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 5, w: 3, r: 1, p: 3}. What is prob of sequence pf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*u - 86*u - 120. Solve -6*z + 3*b + u = -z, 2*b + 9 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 4. Let h(l) = -3526*l - 11. Calculate -h(n) + 3*v(n).\nAnswer: 3532*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474 divided by 2?\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.19491 litres to millilitres.\nAnswer: 5194.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22202 (base 6) to base 16\nAnswer: c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w - 4*w - 2*w as d + l*w and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 42*x**2 - 7*x - 11. Let n(j) = 221*j**2 - 34*j - 58. Calculate -2*n(g) + 11*v(g).\nAnswer: 20*g**2 - 9*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 73. Determine t(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -586*n**5\/5 + 9*n**2\/2 - 3*n + 878. What is the second derivative of f(b) wrt b?\nAnswer: -7032*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -10*f + g - 4872, 3*f - 7308 = -2*g. What is the hundreds digit of f\/24 + 3\/(-12)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(6\/13)\/z*z)\/(z\/(z\/((((z**(-1\/12)\/z*z*z)\/z)\/z)\/z)))*z**(9\/2)\/(z*z**2) assuming z is positive.\nAnswer: z**(787\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57951490 by -9062.\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5629 is divided by 250.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*a - 3*a - 1, -14 = 2*g + 4*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1711\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 3 = -2*p, -11 = -2*n + p. Let j be (-4)\/6*(8 - n). Let w = 2 - 2. Sort j, w, 2.\nAnswer: j, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -5. Let u be -5*(-1 - 0) + 2. Let w(f) = -u*f - f**3 - 3*f**3 - 5*f**2 - f**2. Let j(k) = 11*k**3 + 17*k**2 + 20*k. Calculate m*j(n) - 17*w(n).\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/442*4\/(-64)*-4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j + 6. Let s = 702267 - 56883625\/81. Put -0.3, j, 0.4, s in descending order.\nAnswer: j, 0.4, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707359 to the power of 1\/2, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/3458 and 107\/182.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -78*w + 91. Let r(g) = -79*g + 87. Let j(l) = -3*a(l) + 2*r(l). What is the units digit of j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-366)*9\/2. Let k = 319.1 - 318.9. Put k, 1\/8, i in decreasing order.\nAnswer: k, 1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/20 + 9*h**4\/4 - 13*h**3\/3 + 6*h**2 - h - 9. Let t be l(26). Solve 3*i = 3*c + t, -2*i = 3*i + 4*c + 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14299109501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 3, 1\/5, -1, 1\/7, 110?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3812793 and -83\/930?\nAnswer: 1181965830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 7:52 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1.46. Which is smaller: w or 6\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*k + 11 = 2, -w + 5*k - 15 = 0. Let t = -4 + 8. Suppose t*b + x = 2*x + 12, 5*x = 3*b - 26. Solve 2*f + 3*j = 3*f + 2, b = -f + w*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9520?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) 4\/3 (b) 3\/8 (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -27*k - 6. Calculate b(-4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352526300 rounded to the nearest 100000?\nAnswer: 352500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:12 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38707 by 1428.\nAnswer: 38707\/1428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 82*o**2. Let s(h) = -208723*h**2. Give q(s(z)).\nAnswer: 3572353839778*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 48 = -2*y, 5*y - 39 - 30 = -34054*c + 34050*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/12988515 and 43\/61737.\nAnswer: 168850695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 28. Suppose 335 = m*k - 3*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 3.5?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -78\/3688871?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -19650, 0.09, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/8 - 49*t\/8 = 0.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -18. Solve 18 = 4*a + q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018877 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*q - 25 = 0, q + 15 = -3*h + 4*q. Suppose h = 18*g - 32*g + 154. Solve -8*m = -g*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p + 10. Let v be 2\/4*2\/p. Let -v - 2\/5*o - 1\/5*o**2 = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/90)\/((-6)\/27).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l + 603. Let s be m(-58). What is the greatest common factor of 2047 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/11970 and 115\/2052?\nAnswer: 71820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 3*x + 3*x)*(0*x + 4*x - 5*x)*(0 + 2 + 0) + x**2 + 3*x**2 - 5*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 618*x + 51375. Determine v(-99).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 28 + 32 = 0. Let x be (-10)\/4*-4 - -2. Suppose -u*f - 14 = -x*f. Solve 0 = f*v + 5*s + 14, 2*v + 2*s = -2*v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*r = -0*r + 7, -4*z - 11 = -r. Which is the fourth smallest value? (a) z (b) -2\/7 (c) 0.1 (d) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.105 + -60.0985411. What is o rounded to five decimal places?\nAnswer: 0.00646","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*d = -170998, -3*d - 102600 = -17*c + 14*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219095999 to the power of 1\/2, to the nearest integer?\nAnswer: 14802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2865759 and 2364.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -112222323320?\nAnswer: -112222323312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 83953650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 8*c**2 + 2*c**2 + (10 - 3 + 4)*(8*c**2 - 10 + 10) to m + q*c**2 + w*c and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1287*c + 392*c**5 + 301*c**5 - 158*c + 243*c wrt c.\nAnswer: 13860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7231241*f**3*j + 101*f**2*j - 3*f*j + 3059*j wrt f?\nAnswer: 43387446*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n + 0 - 1\/10*n**5 + 5\/3*n**3 - n**2 + 0*n**4. Differentiate o(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (9 - 3 - 2 - 1) - (91 + 12)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -7*j + 4*j - 32, 2*j + 4*l + 14 = 0. Let u = j - -67. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, 18, 1.2, 1\/9, 5.\nAnswer: -8, 1\/9, 1.2, 5, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 32 = -q. Suppose -q*d = -12*d. Suppose d*h + 5*h + 4*k - 82 = 0, -38 = -2*h + k. What is the least common multiple of 16 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in 4, -9.6, 27, -1\/13, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4 = g - 2, g = -f - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, 64, 453, 1204, 2437, 4272, 6829, 10228?\nAnswer: 14589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59668 to three dps.\nAnswer: 0.597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 1, y: 1, b: 1}. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 66 - 558. Calculate the common denominator of 13\/4 and (q\/(-60))\/(2\/(-9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 91*p - 99*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*b - 570 + 3993 + 2489 + 1046 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 11:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 344, 338, 328, 314, 296, 274?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j**5 - 1245*j**4 + 3390*j**3 + 74965*j**2 + 87630*j + 17280 = 0 for j.\nAnswer: -64, -6, -1, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 + 3*o + 1. Let f(a) = 5*a**2 + 4*a. Calculate -3*f(u) + 4*x(u).\nAnswer: 9*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2538*o**2 + 2*o + 1. Let s(r) = 8*r**2. Give y(s(h)).\nAnswer: -162432*h**4 + 16*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13819435 is divided by 164517.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16*u**2 + 69*u + 36. Let k(q) = 39*q**2 + 146*q + 73. Let a(h) = -5*j(h) + 2*k(h). What is a(-26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x\/(x\/x**(25\/4))*x))*x)*x)\/x**(-1))\/((x**(3\/5)\/x)\/x*x*x*x\/(x**(-2\/29)\/x)) assuming x is positive.\nAnswer: x**(-5173\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 148*x + 4071. What is the hundreds digit of v(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -1 (b) -2 (c) 6 (d) 11 (e) -219 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 2*n + 12. What is l(-6)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(432) - (-3 + sqrt(432) + 2))**2 - (4 + sqrt(432) + (sqrt(432) - (sqrt(432)*-1 + sqrt(432))))**2).\nAnswer: -3486 - 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t - 17. Let i be (19 - 16) + 0 + 1. Suppose -i*y - 22 = -2*k + y, -4*k + 2*y = -60. Is b(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.61 + -12905.\nAnswer: -12902.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(18\/12)\/3. Suppose 0 = -2*o + 6, 0*o + 11 = 4*p - w*o. Solve -p*s - 14 - 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40.4, -1.21, 479 in increasing order.\nAnswer: -40.4, -1.21, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:31 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 19*o**2 + 3*o + 45. Let p(t) = -t**2 + 7. Calculate -i(x) + 5*p(x).\nAnswer: -24*x**2 - 3*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-7 - (80 - 60))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 1532668*w**2 - 3065342*w - 1532672.\nAnswer: 2*(w - 766336)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1167 + 5\/(15\/(-12)). Suppose 4*l = -227 + s. What is the third derivative of 8*m**2 - 234 + l - 9*m**6 wrt m?\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3098, -3104, -3122, -3158, -3218, -3308?\nAnswer: -3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3*((-48)\/(-8))\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:09 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/6 - 2*j**3 + j**2 - 31*j. Let f = 41 - 19. Is g(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 - 92. Let w = p - 428\/7. Let i = -0.37 - 0.03. Which is the biggest value? (a) i (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 202*x\/5 - 40.\nAnswer: -2*(x - 100)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -242027471\/2 at least as big as -121013735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 4. Suppose f + 2*f - 37 = -5*g, -2*g + 2 = -2*f. Suppose s = s + f*s. What is u(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23077\/12 - -1916. Let i = 400133\/274344 - 2\/11431. What is the common denominator of i and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345190079 + 11*d**2 - 345190079.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(-1 - 1 + 3)*(-10*s - 21*s + 6*s) + (2 + 1 - 4)*(-2*s + 6*s - 2*s).\nAnswer: -77*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95036.58 millennia to decades.\nAnswer: 9503658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.026*-0.889\nAnswer: -0.023114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.197 - 111.\nAnswer: -112.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -10 (c) -0.04 (d) -3 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759093*m - 9912 = 759211*m for m.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50.6 + -52. Let f = h + 1.24. Let t = f + 0.56. Which is the fourth smallest value? (a) 1.4 (b) 0.3 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 minutes before 6:53 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70548, -141096, -211644, -282192, -352740?\n\"Answer: -70548*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, -7\/2, -3\/137, 0?\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 82743, 165227, 247709, 330189?\n\"Answer: -z**2 + 82487*z + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 6*t**2 + 4*t - 5. Let p be f(-4). Suppose p*r = 8*r - 3. Let b = 0.12 + -0.02. What is the second smallest value in b, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46.1 in 4, -0.3, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 634\/69261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63415433505.78225251 - 63415450344.3. Let m = i + 16909.517747. Let x = -71 + m. What is x rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w + 3. Let r(t) = 14*t - 2. What is -2*b(g) - 3*r(g)?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + ((-66)\/(-2) - 2). Suppose 0 = 5*o + 3*r, 3*r = 4*o - r - n. Solve -o = 4*q - 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 19 - (-1273 + 1323)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {q: 1, g: 4, s: 1, i: 1, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.823 - 52.2. What is i rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121312 (base 4) in base 10?\nAnswer: -1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 23 = 3*k, -165*j + 170*j + 5*k = 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 - 2*w - 7. Let k = -70 + 67. Let f be (-2)\/(85\/25 + k). What is g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -501?\nAnswer: -94\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -902.\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -4214421?\nAnswer: -4214421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h - 3*h + (h + 0*h - 2*h)*(-2 - 2*h + 2) + 3*h**2 - h**2 - h**2)*(-h + h + 3*h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2\/7 - 14796*b\/7 - 9186048\/7 = 0.\nAnswer: -576, 7974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5064)\/(-84) + 2\/(-7). Let i = -42 + u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 6 - (8 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 24, 4, 3, 79 in ascending order.\nAnswer: -3, 2, 3, 4, 24, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.83589 * -43.\nAnswer: 1024.94327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:40 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = -286*y + 327*y. Suppose 5*p = 4*g + 680 - 65, -4*p + 503 = -g. Calculate the remainder when p is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/11 - 8*f**3\/11 + 14*f**2\/11 + 4*f - 48\/11 = 0.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**3 + 46*n**2 + 98*n + 6. Let o be v(-2). What is the closest to 2 in 0.1, -12, 4, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 10. Let s be f(6). Let o be (-6)\/((-2)\/s*(3 + -7)). Let q be ((-12)\/16)\/o*-4. Solve -4 = -5*d + q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i. Let s = 359 - 215. Suppose -4*c + s = -2*b, 6*b = -5*c + b + 165. Calculate the remainder when c is divided by p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 19 + 11)*(2*o**4 + 0*o + 0*o) + (4*o + 0*o - 5*o)*(-o**3 + 2*o**3 + 0*o**3) in the form x*o + w + f*o**2 + p*o**3 + m*o**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -327, -4, -1, 524, -3 in ascending order.\nAnswer: -327, -4, -3, -2, -1, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390805 and 188?\nAnswer: 1563220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**8\/960 - q**7\/672 + q**6\/720 - 3*q**3\/2 - 13*q. Let k(b) be the second derivative of s(b). Find t, given that k(t) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 3*d - 4. What is m(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.032 - 0.0319966. What is f rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 52 = -5*y, 3*y + q = -23 - 15. Let h = y + 14. Solve 9 = -h*w - w, -5*x + 3*w = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*40\/12*(-2)\/15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 - 1\/(3\/(-2)). Let x(m) be the third derivative of 0*m + 4*m**2 - 1\/4*m**4 + 1\/60*m**5 + 0 + l*m**3. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*v - 62*v + 1 + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167783\/11 + -6 + -12?\nAnswer: 5, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + 8\/3. Let p(d) = -c - d**2 - 4 + 6. Let u(l) = l**2 + 2*l + 3. Calculate -3*p(g) - u(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/6 + 143*z\/6 - 73 = 0.\nAnswer: -146, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + o**2 - 1. Calculate b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from eweeeeeeeewwewwewwe?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 669 or 8707\/13?\nAnswer: 8707\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 810.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k. Let m(u) = u**3 - 2 + k*u**3 - u**2 - 3*u**2. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddudduduuddddu. Give prob of picking 1 d and 1 u.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, 0.4, 16?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2776 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92614153043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4, 5*x - 5*i - 240 - 190 = 0. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 11*t**4\/4 - 49*t**3\/3 - 1200*t + 1997. Find the first derivative of y(v) wrt v.\nAnswer: 33*v**2 - 98*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -698617 or -698609?\nAnswer: -698609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:33 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**4\/18 - 236*a**3\/3 - 707*a**2\/3 + 2*a + 455. Suppose p(k) = 0. What is k?\nAnswer: -707, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*m = -80*m - 8205000. What is m rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96.5 - -96.9. Which is the second smallest value? (a) 2\/15 (b) d (c) 13\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 10. Let t = -982.03 - -982. Let j = 4.1 + -1.1. Which is the closest to t? (a) j (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 13*l - 15. Let t be c(14). Let d be 0 + t - 3\/(-5). Is -3\/10 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}